From f2db19f62f6e32f7bfff785896c3a2e88e580332 Mon Sep 17 00:00:00 2001
From: mdeluci <mdeluci@purdue.edu>
Date: Thu, 12 Dec 2024 15:32:51 +0000
Subject: [PATCH] =?UTF-8?q?Deploying=20to=20gh-pages=20from=20@=20mdeluci/?=
 =?UTF-8?q?mdeluci.github.io@b5b852c8420ef7e122da098d2c8fad8c25b68765=20?=
 =?UTF-8?q?=F0=9F=9A=80?=
MIME-Version: 1.0
Content-Type: text/plain; charset=UTF-8
Content-Transfer-Encoding: 8bit

---
 404.html                            |  2 +-
 _pages/dropdown/index.html          |  2 +-
 assets/jupyter/blog.ipynb.html      |  2 +-
 blog/2024/CahnHilliard/index.html   |  2 +-
 blog/2024/Solidification/index.html |  2 +-
 blog/2024/index.html                |  2 +-
 blog/category/projects/index.html   |  2 +-
 blog/index.html                     |  2 +-
 blog/tag/cahn-hilliard/index.html   |  2 +-
 blog/tag/iga/index.html             |  2 +-
 blog/tag/pdes/index.html            |  2 +-
 blog/tag/phase-field/index.html     |  2 +-
 cv/index.html                       |  2 +-
 feed.xml                            |  2 +-
 index.html                          | 21 +++++++++++----------
 news/EMI/index.html                 |  2 +-
 news/Hillberry/index.html           |  2 +-
 news/MPET2_PK/index.html            |  2 +-
 news/Melosh/index.html              |  2 +-
 news/NewPaperIJF/index.html         |  2 +-
 news/PSC/index.html                 |  2 +-
 news/TBE/index.html                 |  2 +-
 news/Thesis_defense/index.html      |  2 +-
 news/index.html                     |  2 +-
 people/index.html                   |  2 +-
 projects/1_project/index.html       |  2 +-
 projects/2_project/index.html       |  2 +-
 projects/3_project/index.html       |  2 +-
 projects/4_project/index.html       |  2 +-
 projects/5_project/index.html       |  2 +-
 projects/6_project/index.html       |  2 +-
 projects/7_project/index.html       |  2 +-
 projects/8_project/index.html       |  2 +-
 projects/9_project/index.html       |  2 +-
 projects/index.html                 |  2 +-
 publications/index.html             | 15 +++++++++++++--
 repositories/index.html             |  2 +-
 research/index.html                 |  2 +-
 sitemap.xml                         |  2 +-
 teaching/index.html                 |  2 +-
 videos/index.html                   |  2 +-
 41 files changed, 63 insertions(+), 51 deletions(-)
diff --git a/404.html b/404.html
index bac1f69a..a8f5d301 100644
--- a/404.html
+++ b/404.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta http-equiv="refresh" content="3; url=/"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Page not found | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Looks like there has been a mistake. Nothing exists here."> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/404.html"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Page not found</h1> <p class="post-description">Looks like there has been a mistake. Nothing exists here.</p> </header> <article> <p>You will be redirected to the main page within 3 seconds. If not redirected, please go back to the <a href="https://mdeluci.github.io">home page</a>.</p> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta http-equiv="refresh" content="3; url=/"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Page not found | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Looks like there has been a mistake. Nothing exists here."> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/404.html"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Page not found</h1> <p class="post-description">Looks like there has been a mistake. Nothing exists here.</p> </header> <article> <p>You will be redirected to the main page within 3 seconds. If not redirected, please go back to the <a href="https://mdeluci.github.io">home page</a>.</p> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/_pages/dropdown/index.html b/_pages/dropdown/index.html
index c5593413..62b6029a 100644
--- a/_pages/dropdown/index.html
+++ b/_pages/dropdown/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> submenus | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/_pages/dropdown/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">submenus</h1> <p class="post-description"></p> </header> <article> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> submenus | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/_pages/dropdown/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">submenus</h1> <p class="post-description"></p> </header> <article> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/assets/jupyter/blog.ipynb.html b/assets/jupyter/blog.ipynb.html
index 9367b71c..03dc60f8 100644
--- a/assets/jupyter/blog.ipynb.html
+++ b/assets/jupyter/blog.ipynb.html
@@ -1,4 +1,4 @@
-<!DOCTYPE html> <html lang="en"> <head><meta charset="utf-8"/> <meta content="width=device-width, initial-scale=1.0" name="viewport"/> <title>jekyll-jupyter-notebook20241211-2641-z9fdas</title><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script> <style type="text/css">pre{line-height:125%}td.linenos .normal{color:inherit;background-color:transparent;padding-left:5px;padding-right:5px}span.linenos{color:inherit;background-color:transparent;padding-left:5px;padding-right:5px}td.linenos .special{color:#000;background-color:#ffffc0;padding-left:5px;padding-right:5px}span.linenos.special{color:#000;background-color:#ffffc0;padding-left:5px;padding-right:5px}.highlight .hll{background-color:var(--jp-cell-editor-active-background)}.highlight{background:var(--jp-cell-editor-background);color:var(--jp-mirror-editor-variable-color)}.highlight .c{color:var(--jp-mirror-editor-comment-color);font-style:italic}.highlight .err{color:var(--jp-mirror-editor-error-color)}.highlight .k{color:var(--jp-mirror-editor-keyword-color);font-weight:bold}.highlight .o{color:var(--jp-mirror-editor-operator-color);font-weight:bold}.highlight .p{color:var(--jp-mirror-editor-punctuation-color)}.highlight .ch{color:var(--jp-mirror-editor-comment-color);font-style:italic}.highlight .cm{color:var(--jp-mirror-editor-comment-color);font-style:italic}.highlight .cp{color:var(--jp-mirror-editor-comment-color);font-style:italic}.highlight .cpf{color:var(--jp-mirror-editor-comment-color);font-style:italic}.highlight .c1{color:var(--jp-mirror-editor-comment-color);font-style:italic}.highlight .cs{color:var(--jp-mirror-editor-comment-color);font-style:italic}.highlight .kc{color:var(--jp-mirror-editor-keyword-color);font-weight:bold}.highlight .kd{color:var(--jp-mirror-editor-keyword-color);font-weight:bold}.highlight .kn{color:var(--jp-mirror-editor-keyword-color);font-weight:bold}.highlight .kp{color:var(--jp-mirror-editor-keyword-color);font-weight:bold}.highlight .kr{color:var(--jp-mirror-editor-keyword-color);font-weight:bold}.highlight .kt{color:var(--jp-mirror-editor-keyword-color);font-weight:bold}.highlight .m{color:var(--jp-mirror-editor-number-color)}.highlight .s{color:var(--jp-mirror-editor-string-color)}.highlight .ow{color:var(--jp-mirror-editor-operator-color);font-weight:bold}.highlight .w{color:var(--jp-mirror-editor-variable-color)}.highlight .mb{color:var(--jp-mirror-editor-number-color)}.highlight .mf{color:var(--jp-mirror-editor-number-color)}.highlight .mh{color:var(--jp-mirror-editor-number-color)}.highlight .mi{color:var(--jp-mirror-editor-number-color)}.highlight .mo{color:var(--jp-mirror-editor-number-color)}.highlight .sa{color:var(--jp-mirror-editor-string-color)}.highlight .sb{color:var(--jp-mirror-editor-string-color)}.highlight .sc{color:var(--jp-mirror-editor-string-color)}.highlight .dl{color:var(--jp-mirror-editor-string-color)}.highlight .sd{color:var(--jp-mirror-editor-string-color)}.highlight .s2{color:var(--jp-mirror-editor-string-color)}.highlight .se{color:var(--jp-mirror-editor-string-color)}.highlight .sh{color:var(--jp-mirror-editor-string-color)}.highlight .si{color:var(--jp-mirror-editor-string-color)}.highlight .sx{color:var(--jp-mirror-editor-string-color)}.highlight .sr{color:var(--jp-mirror-editor-string-color)}.highlight .s1{color:var(--jp-mirror-editor-string-color)}.highlight .ss{color:var(--jp-mirror-editor-string-color)}.highlight .il{color:var(--jp-mirror-editor-number-color)}</style> <style type="text/css">[data-jp-theme-scrollbars='true']{scrollbar-color:rgb(var(--jp-scrollbar-thumb-color)) var(--jp-scrollbar-background-color)}[data-jp-theme-scrollbars='true'] .CodeMirror-hscrollbar,[data-jp-theme-scrollbars='true'] .CodeMirror-vscrollbar{scrollbar-color:rgba(var(--jp-scrollbar-thumb-color),0.5) transparent}.jp-scrollbar-tiny{scrollbar-color:rgba(var(--jp-scrollbar-thumb-color),0.5) transparent;scrollbar-width:thin}.jp-scrollbar-tiny::-webkit-scrollbar,.jp-scrollbar-tiny::-webkit-scrollbar-corner{background-color:transparent;height:4px;width:4px}.jp-scrollbar-tiny::-webkit-scrollbar-thumb{background:rgba(var(--jp-scrollbar-thumb-color),0.5)}.jp-scrollbar-tiny::-webkit-scrollbar-track:horizontal{border-left:0 solid transparent;border-right:0 solid transparent}.jp-scrollbar-tiny::-webkit-scrollbar-track:vertical{border-top:0 solid transparent;border-bottom:0 solid transparent}.lm-ScrollBar[data-orientation='horizontal']{min-height:16px;max-height:16px;min-width:45px;border-top:1px solid #a0a0a0}.lm-ScrollBar[data-orientation='vertical']{min-width:16px;max-width:16px;min-height:45px;border-left:1px solid #a0a0a0}.lm-ScrollBar-button{background-color:#f0f0f0;background-position:center center;min-height:15px;max-height:15px;min-width:15px;max-width:15px}.lm-ScrollBar-button:hover{background-color:#dadada}.lm-ScrollBar-button.lm-mod-active{background-color:#cdcdcd}.lm-ScrollBar-track{background:#f0f0f0}.lm-ScrollBar-thumb{background:#cdcdcd}.lm-ScrollBar-thumb:hover{background:#bababa}.lm-ScrollBar-thumb.lm-mod-active{background:#a0a0a0}.lm-ScrollBar[data-orientation='horizontal'] .lm-ScrollBar-thumb{height:100%;min-width:15px;border-left:1px solid #a0a0a0;border-right:1px solid #a0a0a0}.lm-ScrollBar[data-orientation='vertical'] .lm-ScrollBar-thumb{width:100%;min-height:15px;border-top:1px solid #a0a0a0;border-bottom:1px solid #a0a0a0}.lm-ScrollBar[data-orientation='horizontal'] .lm-ScrollBar-button[data-action='decrement']{background-image:var(--jp-icon-caret-left);background-size:17px}.lm-ScrollBar[data-orientation='horizontal'] .lm-ScrollBar-button[data-action='increment']{background-image:var(--jp-icon-caret-right);background-size:17px}.lm-ScrollBar[data-orientation='vertical'] .lm-ScrollBar-button[data-action='decrement']{background-image:var(--jp-icon-caret-up);background-size:17px}.lm-ScrollBar[data-orientation='vertical'] .lm-ScrollBar-button[data-action='increment']{background-image:var(--jp-icon-caret-down);background-size:17px}.lm-Widget{box-sizing:border-box;position:relative;overflow:hidden}.lm-Widget.lm-mod-hidden{display:none!important}.lm-AccordionPanel[data-orientation='horizontal']>.lm-AccordionPanel-title{display:block;transform-origin:top left;transform:rotate(-90deg) translate(-100%)}.lm-CommandPalette{display:flex;flex-direction:column;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}.lm-CommandPalette-search{flex:0 0 auto}.lm-CommandPalette-content{flex:1 1 auto;margin:0;padding:0;min-height:0;overflow:auto;list-style-type:none}.lm-CommandPalette-header{overflow:hidden;white-space:nowrap;text-overflow:ellipsis}.lm-CommandPalette-item{display:flex;flex-direction:row}.lm-CommandPalette-itemIcon{flex:0 0 auto}.lm-CommandPalette-itemContent{flex:1 1 auto;overflow:hidden}.lm-CommandPalette-itemShortcut{flex:0 0 auto}.lm-CommandPalette-itemLabel{overflow:hidden;white-space:nowrap;text-overflow:ellipsis}.lm-close-icon{border:1px solid transparent;background-color:transparent;position:absolute;z-index:1;right:3%;top:0;bottom:0;margin:auto;padding:7px 0;display:none;vertical-align:middle;outline:0;cursor:pointer}.lm-close-icon:after{content:'X';display:block;width:15px;height:15px;text-align:center;color:#000;font-weight:normal;font-size:12px;cursor:pointer}.lm-DockPanel{z-index:0}.lm-DockPanel-widget{z-index:0}.lm-DockPanel-tabBar{z-index:1}.lm-DockPanel-handle{z-index:2}.lm-DockPanel-handle.lm-mod-hidden{display:none!important}.lm-DockPanel-handle:after{position:absolute;top:0;left:0;width:100%;height:100%;content:''}.lm-DockPanel-handle[data-orientation='horizontal']{cursor:ew-resize}.lm-DockPanel-handle[data-orientation='vertical']{cursor:ns-resize}.lm-DockPanel-handle[data-orientation='horizontal']:after{left:50%;min-width:8px;transform:translateX(-50%)}.lm-DockPanel-handle[data-orientation='vertical']:after{top:50%;min-height:8px;transform:translateY(-50%)}.lm-DockPanel-overlay{z-index:3;box-sizing:border-box;pointer-events:none}
+<!DOCTYPE html> <html lang="en"> <head><meta charset="utf-8"/> <meta content="width=device-width, initial-scale=1.0" name="viewport"/> <title>jekyll-jupyter-notebook20241212-1838-1oub5h</title><script src="https://cdnjs.cloudflare.com/ajax/libs/require.js/2.1.10/require.min.js"></script> <style type="text/css">pre{line-height:125%}td.linenos .normal{color:inherit;background-color:transparent;padding-left:5px;padding-right:5px}span.linenos{color:inherit;background-color:transparent;padding-left:5px;padding-right:5px}td.linenos .special{color:#000;background-color:#ffffc0;padding-left:5px;padding-right:5px}span.linenos.special{color:#000;background-color:#ffffc0;padding-left:5px;padding-right:5px}.highlight .hll{background-color:var(--jp-cell-editor-active-background)}.highlight{background:var(--jp-cell-editor-background);color:var(--jp-mirror-editor-variable-color)}.highlight .c{color:var(--jp-mirror-editor-comment-color);font-style:italic}.highlight .err{color:var(--jp-mirror-editor-error-color)}.highlight .k{color:var(--jp-mirror-editor-keyword-color);font-weight:bold}.highlight .o{color:var(--jp-mirror-editor-operator-color);font-weight:bold}.highlight .p{color:var(--jp-mirror-editor-punctuation-color)}.highlight .ch{color:var(--jp-mirror-editor-comment-color);font-style:italic}.highlight .cm{color:var(--jp-mirror-editor-comment-color);font-style:italic}.highlight .cp{color:var(--jp-mirror-editor-comment-color);font-style:italic}.highlight .cpf{color:var(--jp-mirror-editor-comment-color);font-style:italic}.highlight .c1{color:var(--jp-mirror-editor-comment-color);font-style:italic}.highlight .cs{color:var(--jp-mirror-editor-comment-color);font-style:italic}.highlight .kc{color:var(--jp-mirror-editor-keyword-color);font-weight:bold}.highlight .kd{color:var(--jp-mirror-editor-keyword-color);font-weight:bold}.highlight .kn{color:var(--jp-mirror-editor-keyword-color);font-weight:bold}.highlight .kp{color:var(--jp-mirror-editor-keyword-color);font-weight:bold}.highlight .kr{color:var(--jp-mirror-editor-keyword-color);font-weight:bold}.highlight .kt{color:var(--jp-mirror-editor-keyword-color);font-weight:bold}.highlight .m{color:var(--jp-mirror-editor-number-color)}.highlight .s{color:var(--jp-mirror-editor-string-color)}.highlight .ow{color:var(--jp-mirror-editor-operator-color);font-weight:bold}.highlight .w{color:var(--jp-mirror-editor-variable-color)}.highlight .mb{color:var(--jp-mirror-editor-number-color)}.highlight .mf{color:var(--jp-mirror-editor-number-color)}.highlight .mh{color:var(--jp-mirror-editor-number-color)}.highlight .mi{color:var(--jp-mirror-editor-number-color)}.highlight .mo{color:var(--jp-mirror-editor-number-color)}.highlight .sa{color:var(--jp-mirror-editor-string-color)}.highlight .sb{color:var(--jp-mirror-editor-string-color)}.highlight .sc{color:var(--jp-mirror-editor-string-color)}.highlight .dl{color:var(--jp-mirror-editor-string-color)}.highlight .sd{color:var(--jp-mirror-editor-string-color)}.highlight .s2{color:var(--jp-mirror-editor-string-color)}.highlight .se{color:var(--jp-mirror-editor-string-color)}.highlight .sh{color:var(--jp-mirror-editor-string-color)}.highlight .si{color:var(--jp-mirror-editor-string-color)}.highlight .sx{color:var(--jp-mirror-editor-string-color)}.highlight .sr{color:var(--jp-mirror-editor-string-color)}.highlight .s1{color:var(--jp-mirror-editor-string-color)}.highlight .ss{color:var(--jp-mirror-editor-string-color)}.highlight .il{color:var(--jp-mirror-editor-number-color)}</style> <style type="text/css">[data-jp-theme-scrollbars='true']{scrollbar-color:rgb(var(--jp-scrollbar-thumb-color)) var(--jp-scrollbar-background-color)}[data-jp-theme-scrollbars='true'] .CodeMirror-hscrollbar,[data-jp-theme-scrollbars='true'] .CodeMirror-vscrollbar{scrollbar-color:rgba(var(--jp-scrollbar-thumb-color),0.5) transparent}.jp-scrollbar-tiny{scrollbar-color:rgba(var(--jp-scrollbar-thumb-color),0.5) transparent;scrollbar-width:thin}.jp-scrollbar-tiny::-webkit-scrollbar,.jp-scrollbar-tiny::-webkit-scrollbar-corner{background-color:transparent;height:4px;width:4px}.jp-scrollbar-tiny::-webkit-scrollbar-thumb{background:rgba(var(--jp-scrollbar-thumb-color),0.5)}.jp-scrollbar-tiny::-webkit-scrollbar-track:horizontal{border-left:0 solid transparent;border-right:0 solid transparent}.jp-scrollbar-tiny::-webkit-scrollbar-track:vertical{border-top:0 solid transparent;border-bottom:0 solid transparent}.lm-ScrollBar[data-orientation='horizontal']{min-height:16px;max-height:16px;min-width:45px;border-top:1px solid #a0a0a0}.lm-ScrollBar[data-orientation='vertical']{min-width:16px;max-width:16px;min-height:45px;border-left:1px solid #a0a0a0}.lm-ScrollBar-button{background-color:#f0f0f0;background-position:center center;min-height:15px;max-height:15px;min-width:15px;max-width:15px}.lm-ScrollBar-button:hover{background-color:#dadada}.lm-ScrollBar-button.lm-mod-active{background-color:#cdcdcd}.lm-ScrollBar-track{background:#f0f0f0}.lm-ScrollBar-thumb{background:#cdcdcd}.lm-ScrollBar-thumb:hover{background:#bababa}.lm-ScrollBar-thumb.lm-mod-active{background:#a0a0a0}.lm-ScrollBar[data-orientation='horizontal'] .lm-ScrollBar-thumb{height:100%;min-width:15px;border-left:1px solid #a0a0a0;border-right:1px solid #a0a0a0}.lm-ScrollBar[data-orientation='vertical'] .lm-ScrollBar-thumb{width:100%;min-height:15px;border-top:1px solid #a0a0a0;border-bottom:1px solid #a0a0a0}.lm-ScrollBar[data-orientation='horizontal'] .lm-ScrollBar-button[data-action='decrement']{background-image:var(--jp-icon-caret-left);background-size:17px}.lm-ScrollBar[data-orientation='horizontal'] .lm-ScrollBar-button[data-action='increment']{background-image:var(--jp-icon-caret-right);background-size:17px}.lm-ScrollBar[data-orientation='vertical'] .lm-ScrollBar-button[data-action='decrement']{background-image:var(--jp-icon-caret-up);background-size:17px}.lm-ScrollBar[data-orientation='vertical'] .lm-ScrollBar-button[data-action='increment']{background-image:var(--jp-icon-caret-down);background-size:17px}.lm-Widget{box-sizing:border-box;position:relative;overflow:hidden}.lm-Widget.lm-mod-hidden{display:none!important}.lm-AccordionPanel[data-orientation='horizontal']>.lm-AccordionPanel-title{display:block;transform-origin:top left;transform:rotate(-90deg) translate(-100%)}.lm-CommandPalette{display:flex;flex-direction:column;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}.lm-CommandPalette-search{flex:0 0 auto}.lm-CommandPalette-content{flex:1 1 auto;margin:0;padding:0;min-height:0;overflow:auto;list-style-type:none}.lm-CommandPalette-header{overflow:hidden;white-space:nowrap;text-overflow:ellipsis}.lm-CommandPalette-item{display:flex;flex-direction:row}.lm-CommandPalette-itemIcon{flex:0 0 auto}.lm-CommandPalette-itemContent{flex:1 1 auto;overflow:hidden}.lm-CommandPalette-itemShortcut{flex:0 0 auto}.lm-CommandPalette-itemLabel{overflow:hidden;white-space:nowrap;text-overflow:ellipsis}.lm-close-icon{border:1px solid transparent;background-color:transparent;position:absolute;z-index:1;right:3%;top:0;bottom:0;margin:auto;padding:7px 0;display:none;vertical-align:middle;outline:0;cursor:pointer}.lm-close-icon:after{content:'X';display:block;width:15px;height:15px;text-align:center;color:#000;font-weight:normal;font-size:12px;cursor:pointer}.lm-DockPanel{z-index:0}.lm-DockPanel-widget{z-index:0}.lm-DockPanel-tabBar{z-index:1}.lm-DockPanel-handle{z-index:2}.lm-DockPanel-handle.lm-mod-hidden{display:none!important}.lm-DockPanel-handle:after{position:absolute;top:0;left:0;width:100%;height:100%;content:''}.lm-DockPanel-handle[data-orientation='horizontal']{cursor:ew-resize}.lm-DockPanel-handle[data-orientation='vertical']{cursor:ns-resize}.lm-DockPanel-handle[data-orientation='horizontal']:after{left:50%;min-width:8px;transform:translateX(-50%)}.lm-DockPanel-handle[data-orientation='vertical']:after{top:50%;min-height:8px;transform:translateY(-50%)}.lm-DockPanel-overlay{z-index:3;box-sizing:border-box;pointer-events:none}
 .lm-DockPanel-overlay.lm-mod-hidden{display:none!important}.lm-Menu{z-index:10000;position:absolute;white-space:nowrap;overflow-x:hidden;overflow-y:auto;outline:0;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}.lm-Menu-content{margin:0;padding:0;display:table;list-style-type:none}.lm-Menu-item{display:table-row}.lm-Menu-item.lm-mod-hidden,.lm-Menu-item.lm-mod-collapsed{display:none!important}.lm-Menu-itemIcon,.lm-Menu-itemSubmenuIcon{display:table-cell;text-align:center}.lm-Menu-itemLabel{display:table-cell;text-align:left}.lm-Menu-itemShortcut{display:table-cell;text-align:right}.lm-MenuBar{outline:0;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}.lm-MenuBar-content{margin:0;padding:0;display:flex;flex-direction:row;list-style-type:none}.lm-MenuBar-item{box-sizing:border-box}.lm-MenuBar-itemIcon,.lm-MenuBar-itemLabel{display:inline-block}.lm-ScrollBar{display:flex;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}.lm-ScrollBar[data-orientation='horizontal']{flex-direction:row}.lm-ScrollBar[data-orientation='vertical']{flex-direction:column}.lm-ScrollBar-button{box-sizing:border-box;flex:0 0 auto}.lm-ScrollBar-track{box-sizing:border-box;position:relative;overflow:hidden;flex:1 1 auto}.lm-ScrollBar-thumb{box-sizing:border-box;position:absolute}.lm-SplitPanel-child{z-index:0}.lm-SplitPanel-handle{z-index:1}.lm-SplitPanel-handle.lm-mod-hidden{display:none!important}.lm-SplitPanel-handle:after{position:absolute;top:0;left:0;width:100%;height:100%;content:''}.lm-SplitPanel[data-orientation='horizontal']>.lm-SplitPanel-handle{cursor:ew-resize}.lm-SplitPanel[data-orientation='vertical']>.lm-SplitPanel-handle{cursor:ns-resize}.lm-SplitPanel[data-orientation='horizontal']>.lm-SplitPanel-handle:after{left:50%;min-width:8px;transform:translateX(-50%)}.lm-SplitPanel[data-orientation='vertical']>.lm-SplitPanel-handle:after{top:50%;min-height:8px;transform:translateY(-50%)}.lm-TabBar{display:flex;-webkit-user-select:none;-moz-user-select:none;-ms-user-select:none;user-select:none}.lm-TabBar[data-orientation='horizontal']{flex-direction:row;align-items:flex-end}.lm-TabBar[data-orientation='vertical']{flex-direction:column;align-items:flex-end}.lm-TabBar-content{margin:0;padding:0;display:flex;flex:1 1 auto;list-style-type:none}.lm-TabBar[data-orientation='horizontal']>.lm-TabBar-content{flex-direction:row}.lm-TabBar[data-orientation='vertical']>.lm-TabBar-content{flex-direction:column}.lm-TabBar-tab{display:flex;flex-direction:row;box-sizing:border-box;overflow:hidden;touch-action:none}.lm-TabBar-tabIcon,.lm-TabBar-tabCloseIcon{flex:0 0 auto}.lm-TabBar-tabLabel{flex:1 1 auto;overflow:hidden;white-space:nowrap}.lm-TabBar-tabInput{user-select:all;width:100%;box-sizing:border-box}.lm-TabBar-tab.lm-mod-hidden{display:none!important}.lm-TabBar-addButton.lm-mod-hidden{display:none!important}.lm-TabBar.lm-mod-dragging .lm-TabBar-tab{position:relative}.lm-TabBar.lm-mod-dragging[data-orientation='horizontal'] .lm-TabBar-tab{left:0;transition:left 150ms ease}.lm-TabBar.lm-mod-dragging[data-orientation='vertical'] .lm-TabBar-tab{top:0;transition:top 150ms ease}.lm-TabBar.lm-mod-dragging .lm-TabBar-tab.lm-mod-dragging{transition:none}.lm-TabBar-tabLabel .lm-TabBar-tabInput{user-select:all;width:100%;box-sizing:border-box;background:inherit}.lm-TabPanel-tabBar{z-index:1}.lm-TabPanel-stackedPanel{z-index:0}.jp-Collapse{display:flex;flex-direction:column;align-items:stretch}.jp-Collapse-header{padding:1px 12px;background-color:var(--jp-layout-color1);border-bottom:solid var(--jp-border-width) var(--jp-border-color2);color:var(--jp-ui-font-color1);cursor:pointer;display:flex;align-items:center;font-size:var(--jp-ui-font-size0);font-weight:600;text-transform:uppercase;user-select:none}.jp-Collapser-icon{height:16px}.jp-Collapse-header-collapsed .jp-Collapser-icon{transform:rotate(-90deg);margin:auto 0}.jp-Collapser-title{line-height:25px}.jp-Collapse-contents{padding:0 12px;background-color:var(--jp-layout-color1);color:var(--jp-ui-font-color1);overflow:auto}:root{--jp-icon-add-above:url(data:image/svg+xml;base64,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);--jp-icon-add-below:url(data:image/svg+xml;base64,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);--jp-icon-add:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTE5IDEzaC02djZoLTJ2LTZINXYtMmg2VjVoMnY2aDZ2MnoiLz4KICA8L2c+Cjwvc3ZnPgo=);--jp-icon-bell:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDE2IDE2IiB2ZXJzaW9uPSIxLjEiPgogICA8cGF0aCBjbGFzcz0ianAtaWNvbjIganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjMzMzMzMzIgogICAgICBkPSJtOCAwLjI5Yy0xLjQgMC0yLjcgMC43My0zLjYgMS44LTEuMiAxLjUtMS40IDMuNC0xLjUgNS4yLTAuMTggMi4yLTAuNDQgNC0yLjMgNS4zbDAuMjggMS4zaDVjMC4wMjYgMC42NiAwLjMyIDEuMSAwLjcxIDEuNSAwLjg0IDAuNjEgMiAwLjYxIDIuOCAwIDAuNTItMC40IDAuNi0xIDAuNzEtMS41aDVsMC4yOC0xLjNjLTEuOS0wLjk3LTIuMi0zLjMtMi4zLTUuMy0wLjEzLTEuOC0wLjI2LTMuNy0xLjUtNS4yLTAuODUtMS0yLjItMS44LTMuNi0xLjh6bTAgMS40YzAuODggMCAxLjkgMC41NSAyLjUgMS4zIDAuODggMS4xIDEuMSAyLjcgMS4yIDQuNCAwLjEzIDEuNyAwLjIzIDMuNiAxLjMgNS4yaC0xMGMxLjEtMS42IDEuMi0zLjQgMS4zLTUuMiAwLjEzLTEuNyAwLjMtMy4zIDEuMi00LjQgMC41OS0wLjcyIDEuNi0xLjMgMi41LTEuM3ptLTAuNzQgMTJoMS41Yy0wLjAwMTUgMC4yOCAwLjAxNSAwLjc5LTAuNzQgMC43OS0wLjczIDAuMDAxNi0wLjcyLTAuNTMtMC43NC0wLjc5eiIgLz4KPC9zdmc+Cg==);--jp-icon-bug-dot:url(data:image/svg+xml;base64,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);--jp-icon-bug:url(data:image/svg+xml;base64,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);--jp-icon-build:url(data:image/svg+xml;base64,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);--jp-icon-caret-down-empty-thin:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIwIDIwIj4KCTxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSIgc2hhcGUtcmVuZGVyaW5nPSJnZW9tZXRyaWNQcmVjaXNpb24iPgoJCTxwb2x5Z29uIGNsYXNzPSJzdDEiIHBvaW50cz0iOS45LDEzLjYgMy42LDcuNCA0LjQsNi42IDkuOSwxMi4yIDE1LjQsNi43IDE2LjEsNy40ICIvPgoJPC9nPgo8L3N2Zz4K);--jp-icon-caret-down-empty:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDE4IDE4Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiIHNoYXBlLXJlbmRlcmluZz0iZ2VvbWV0cmljUHJlY2lzaW9uIj4KICAgIDxwYXRoIGQ9Ik01LjIsNS45TDksOS43bDMuOC0zLjhsMS4yLDEuMmwtNC45LDVsLTQuOS01TDUuMiw1Ljl6Ii8+CiAgPC9nPgo8L3N2Zz4K);--jp-icon-caret-down:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDE4IDE4Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiIHNoYXBlLXJlbmRlcmluZz0iZ2VvbWV0cmljUHJlY2lzaW9uIj4KICAgIDxwYXRoIGQ9Ik01LjIsNy41TDksMTEuMmwzLjgtMy44SDUuMnoiLz4KICA8L2c+Cjwvc3ZnPgo=);--jp-icon-caret-left:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDE4IDE4Ij4KCTxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSIgc2hhcGUtcmVuZGVyaW5nPSJnZW9tZXRyaWNQcmVjaXNpb24iPgoJCTxwYXRoIGQ9Ik0xMC44LDEyLjhMNy4xLDlsMy44LTMuOGwwLDcuNkgxMC44eiIvPgogIDwvZz4KPC9zdmc+Cg==);--jp-icon-caret-right:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDE4IDE4Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiIHNoYXBlLXJlbmRlcmluZz0iZ2VvbWV0cmljUHJlY2lzaW9uIj4KICAgIDxwYXRoIGQ9Ik03LjIsNS4yTDEwLjksOWwtMy44LDMuOFY1LjJINy4yeiIvPgogIDwvZz4KPC9zdmc+Cg==);--jp-icon-caret-up-empty-thin:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIwIDIwIj4KCTxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSIgc2hhcGUtcmVuZGVyaW5nPSJnZW9tZXRyaWNQcmVjaXNpb24iPgoJCTxwb2x5Z29uIGNsYXNzPSJzdDEiIHBvaW50cz0iMTUuNCwxMy4zIDkuOSw3LjcgNC40LDEzLjIgMy42LDEyLjUgOS45LDYuMyAxNi4xLDEyLjYgIi8+Cgk8L2c+Cjwvc3ZnPgo=);--jp-icon-caret-up:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDE4IDE4Ij4KCTxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSIgc2hhcGUtcmVuZGVyaW5nPSJnZW9tZXRyaWNQcmVjaXNpb24iPgoJCTxwYXRoIGQ9Ik01LjIsMTAuNUw5LDYuOGwzLjgsMy44SDUuMnoiLz4KICA8L2c+Cjwvc3ZnPgo=);--jp-icon-case-sensitive:url(data:image/svg+xml;base64,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);--jp-icon-check:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjNjE2MTYxIj4KICAgIDxwYXRoIGQ9Ik05IDE2LjE3TDQuODMgMTJsLTEuNDIgMS40MUw5IDE5IDIxIDdsLTEuNDEtMS40MXoiLz4KICA8L2c+Cjwvc3ZnPgo=);--jp-icon-circle-empty:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTEyIDJDNi40NyAyIDIgNi40NyAyIDEyczQuNDcgMTAgMTAgMTAgMTAtNC40NyAxMC0xMFMxNy41MyAyIDEyIDJ6bTAgMThjLTQuNDEgMC04LTMuNTktOC04czMuNTktOCA4LTggOCAzLjU5IDggOC0zLjU5IDgtOCA4eiIvPgogIDwvZz4KPC9zdmc+Cg==);--jp-icon-circle:url(data:image/svg+xml;base64,PHN2ZyB2aWV3Qm94PSIwIDAgMTggMTgiIHdpZHRoPSIxNiIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPGNpcmNsZSBjeD0iOSIgY3k9IjkiIHI9IjgiLz4KICA8L2c+Cjwvc3ZnPgo=);--jp-icon-clear:url(data:image/svg+xml;base64,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);--jp-icon-close:url(data:image/svg+xml;base64,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);--jp-icon-code-check:url(data:image/svg+xml;base64,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);--jp-icon-code:url(data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMjIiIGhlaWdodD0iMjIiIHZpZXdCb3g9IjAgMCAyOCAyOCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KCTxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CgkJPHBhdGggZD0iTTExLjQgMTguNkw2LjggMTRMMTEuNCA5LjRMMTAgOEw0IDE0TDEwIDIwTDExLjQgMTguNlpNMTYuNiAxOC42TDIxLjIgMTRMMTYuNiA5LjRMMTggOEwyNCAxNEwxOCAyMEwxNi42IDE4LjZWMTguNloiLz4KCTwvZz4KPC9zdmc+Cg==);--jp-icon-collapse-all:url(data:image/svg+xml;base64,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);--jp-icon-console:url(data:image/svg+xml;base64,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);--jp-icon-copy:url(data:image/svg+xml;base64,PHN2ZyB2aWV3Qm94PSIwIDAgMTggMTgiIHdpZHRoPSIxNiIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTExLjksMUgzLjJDMi40LDEsMS43LDEuNywxLjcsMi41djEwLjJoMS41VjIuNWg4LjdWMXogTTE0LjEsMy45aC04Yy0wLjgsMC0xLjUsMC43LTEuNSwxLjV2MTAuMmMwLDAuOCwwLjcsMS41LDEuNSwxLjVoOCBjMC44LDAsMS41LTAuNywxLjUtMS41VjUuNEMxNS41LDQuNiwxNC45LDMuOSwxNC4xLDMuOXogTTE0LjEsMTUuNWgtOFY1LjRoOFYxNS41eiIvPgogIDwvZz4KPC9zdmc+Cg==);--jp-icon-copyright:url(data:image/svg+xml;base64,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);--jp-icon-cut:url(data:image/svg+xml;base64,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);--jp-icon-delete:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHZpZXdCb3g9IjAgMCAyNCAyNCIgd2lkdGg9IjE2cHgiIGhlaWdodD0iMTZweCI+CiAgICA8cGF0aCBkPSJNMCAwaDI0djI0SDB6IiBmaWxsPSJub25lIiAvPgogICAgPHBhdGggY2xhc3M9ImpwLWljb24zIiBmaWxsPSIjNjI2MjYyIiBkPSJNNiAxOWMwIDEuMS45IDIgMiAyaDhjMS4xIDAgMi0uOSAyLTJWN0g2djEyek0xOSA0aC0zLjVsLTEtMWgtNWwtMSAxSDV2MmgxNFY0eiIgLz4KPC9zdmc+Cg==);--jp-icon-download:url(data:image/svg+xml;base64,PHN2ZyB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIxNiIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTE5IDloLTRWM0g5djZINWw3IDcgNy03ek01IDE4djJoMTR2LTJINXoiLz4KICA8L2c+Cjwvc3ZnPgo=);--jp-icon-duplicate:url(data:image/svg+xml;base64,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);--jp-icon-edit:url(data:image/svg+xml;base64,PHN2ZyB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIxNiIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTMgMTcuMjVWMjFoMy43NUwxNy44MSA5Ljk0bC0zLjc1LTMuNzVMMyAxNy4yNXpNMjAuNzEgNy4wNGMuMzktLjM5LjM5LTEuMDIgMC0xLjQxbC0yLjM0LTIuMzRjLS4zOS0uMzktMS4wMi0uMzktMS40MSAwbC0xLjgzIDEuODMgMy43NSAzLjc1IDEuODMtMS44M3oiLz4KICA8L2c+Cjwvc3ZnPgo=);--jp-icon-ellipses:url(data:image/svg+xml;base64,PHN2ZyB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIxNiIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPGNpcmNsZSBjeD0iNSIgY3k9IjEyIiByPSIyIi8+CiAgICA8Y2lyY2xlIGN4PSIxMiIgY3k9IjEyIiByPSIyIi8+CiAgICA8Y2lyY2xlIGN4PSIxOSIgY3k9IjEyIiByPSIyIi8+CiAgPC9nPgo8L3N2Zz4K);--jp-icon-error:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KPGcgY2xhc3M9ImpwLWljb24zIiBmaWxsPSIjNjE2MTYxIj48Y2lyY2xlIGN4PSIxMiIgY3k9IjE5IiByPSIyIi8+PHBhdGggZD0iTTEwIDNoNHYxMmgtNHoiLz48L2c+CjxwYXRoIGZpbGw9Im5vbmUiIGQ9Ik0wIDBoMjR2MjRIMHoiLz4KPC9zdmc+Cg==);--jp-icon-expand-all:url(data:image/svg+xml;base64,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);--jp-icon-extension:url(data:image/svg+xml;base64,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);--jp-icon-fast-forward:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIyNCIgaGVpZ2h0PSIyNCIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTQgMThsOC41LTZMNCA2djEyem05LTEydjEybDguNS02TDEzIDZ6Ii8+CiAgICA8L2c+Cjwvc3ZnPgo=);--jp-icon-file-upload:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTkgMTZoNnYtNmg0bC03LTctNyA3aDR6bS00IDJoMTR2Mkg1eiIvPgogIDwvZz4KPC9zdmc+Cg==);--jp-icon-file:url(data:image/svg+xml;base64,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);--jp-icon-filter-dot:url(data:image/svg+xml;base64,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);--jp-icon-filter-list:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTEwIDE4aDR2LTJoLTR2MnpNMyA2djJoMThWNkgzem0zIDdoMTJ2LTJINnYyeiIvPgogIDwvZz4KPC9zdmc+Cg==);--jp-icon-filter:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiNGRkYiPgogICAgPHBhdGggZD0iTTE0LDEyVjE5Ljg4QzE0LjA0LDIwLjE4IDEzLjk0LDIwLjUgMTMuNzEsMjAuNzFDMTMuMzIsMjEuMSAxMi42OSwyMS4xIDEyLjMsMjAuNzFMMTAuMjksMTguN0MxMC4wNiwxOC40NyA5Ljk2LDE4LjE2IDEwLDE3Ljg3VjEySDkuOTdMNC4yMSw0LjYyQzMuODcsNC4xOSAzLjk1LDMuNTYgNC4zOCwzLjIyQzQuNTcsMy4wOCA0Ljc4LDMgNSwzVjNIMTlWM0MxOS4yMiwzIDE5LjQzLDMuMDggMTkuNjIsMy4yMkMyMC4wNSwzLjU2IDIwLjEzLDQuMTkgMTkuNzksNC42MkwxNC4wMywxMkgxNFoiIC8+CiAgPC9nPgo8L3N2Zz4K);--jp-icon-folder-favorite:url(data:image/svg+xml;base64,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);--jp-icon-folder:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8cGF0aCBjbGFzcz0ianAtaWNvbjMganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjNjE2MTYxIiBkPSJNMTAgNEg0Yy0xLjEgMC0xLjk5LjktMS45OSAyTDIgMThjMCAxLjEuOSAyIDIgMmgxNmMxLjEgMCAyLS45IDItMlY4YzAtMS4xLS45LTItMi0yaC04bC0yLTJ6Ii8+Cjwvc3ZnPgo=);--jp-icon-home:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIGhlaWdodD0iMjRweCIgdmlld0JveD0iMCAwIDI0IDI0IiB3aWR0aD0iMjRweCIgZmlsbD0iIzAwMDAwMCI+CiAgPHBhdGggZD0iTTAgMGgyNHYyNEgweiIgZmlsbD0ibm9uZSIvPjxwYXRoIGNsYXNzPSJqcC1pY29uMyBqcC1pY29uLXNlbGVjdGFibGUiIGZpbGw9IiM2MTYxNjEiIGQ9Ik0xMCAyMHYtNmg0djZoNXYtOGgzTDEyIDMgMiAxMmgzdjh6Ii8+Cjwvc3ZnPgo=);--jp-icon-html5:url(data:image/svg+xml;base64,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);--jp-icon-image:url(data:image/svg+xml;base64,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);--jp-icon-info:url(data:image/svg+xml;base64,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);--jp-icon-inspector:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8cGF0aCBjbGFzcz0ianAtaW5zcGVjdG9yLWljb24tY29sb3IganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjNjE2MTYxIiBkPSJNMjAgNEg0Yy0xLjEgMC0xLjk5LjktMS45OSAyTDIgMThjMCAxLjEuOSAyIDIgMmgxNmMxLjEgMCAyLS45IDItMlY2YzAtMS4xLS45LTItMi0yem0tNSAxNEg0di00aDExdjR6bTAtNUg0VjloMTF2NHptNSA1aC00VjloNHY5eiIvPgo8L3N2Zz4K);--jp-icon-json:url(data:image/svg+xml;base64,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);--jp-icon-julia:url(data:image/svg+xml;base64,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);--jp-icon-jupyter-favicon:url(data:image/svg+xml;base64,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);--jp-icon-jupyter:url(data:image/svg+xml;base64,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);--jp-icon-jupyterlab-wordmark:url(data:image/svg+xml;base64,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);--jp-icon-kernel:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICAgIDxwYXRoIGNsYXNzPSJqcC1pY29uMiIgZmlsbD0iIzYxNjE2MSIgZD0iTTE1IDlIOXY2aDZWOXptLTIgNGgtMnYtMmgydjJ6bTgtMlY5aC0yVjdjMC0xLjEtLjktMi0yLTJoLTJWM2gtMnYyaC0yVjNIOXYySDdjLTEuMSAwLTIgLjktMiAydjJIM3YyaDJ2MkgzdjJoMnYyYzAgMS4xLjkgMiAyIDJoMnYyaDJ2LTJoMnYyaDJ2LTJoMmMxLjEgMCAyLS45IDItMnYtMmgydi0yaC0ydi0yaDJ6bS00IDZIN1Y3aDEwdjEweiIvPgo8L3N2Zz4K);--jp-icon-keyboard:url(data:image/svg+xml;base64,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);--jp-icon-launch:url(data:image/svg+xml;base64,PHN2ZyB2aWV3Qm94PSIwIDAgMzIgMzIiIHdpZHRoPSIzMiIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjNjE2MTYxIj4KICAgIDxwYXRoIGQ9Ik0yNiwyOEg2YTIuMDAyNywyLjAwMjcsMCwwLDEtMi0yVjZBMi4wMDI3LDIuMDAyNywwLDAsMSw2LDRIMTZWNkg2VjI2SDI2VjE2aDJWMjZBMi4wMDI3LDIuMDAyNywwLDAsMSwyNiwyOFoiLz4KICAgIDxwb2x5Z29uIHBvaW50cz0iMjAgMiAyMCA0IDI2LjU4NiA0IDE4IDEyLjU4NiAxOS40MTQgMTQgMjggNS40MTQgMjggMTIgMzAgMTIgMzAgMiAyMCAyIi8+CiAgPC9nPgo8L3N2Zz4K);--jp-icon-launcher:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8cGF0aCBjbGFzcz0ianAtaWNvbjMganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjNjE2MTYxIiBkPSJNMTkgMTlINVY1aDdWM0g1YTIgMiAwIDAwLTIgMnYxNGEyIDIgMCAwMDIgMmgxNGMxLjEgMCAyLS45IDItMnYtN2gtMnY3ek0xNCAzdjJoMy41OWwtOS44MyA5LjgzIDEuNDEgMS40MUwxOSA2LjQxVjEwaDJWM2gtN3oiLz4KPC9zdmc+Cg==);--jp-icon-line-form:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICAgIDxwYXRoIGZpbGw9IndoaXRlIiBkPSJNNS44OCA0LjEyTDEzLjc2IDEybC03Ljg4IDcuODhMOCAyMmwxMC0xMEw4IDJ6Ii8+Cjwvc3ZnPgo=);--jp-icon-link:url(data:image/svg+xml;base64,PHN2ZyB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIxNiIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTMuOSAxMmMwLTEuNzEgMS4zOS0zLjEgMy4xLTMuMWg0VjdIN2MtMi43NiAwLTUgMi4yNC01IDVzMi4yNCA1IDUgNWg0di0xLjlIN2MtMS43MSAwLTMuMS0xLjM5LTMuMS0zLjF6TTggMTNoOHYtMkg4djJ6bTktNmgtNHYxLjloNGMxLjcxIDAgMy4xIDEuMzkgMy4xIDMuMXMtMS4zOSAzLjEtMy4xIDMuMWgtNFYxN2g0YzIuNzYgMCA1LTIuMjQgNS01cy0yLjI0LTUtNS01eiIvPgogIDwvZz4KPC9zdmc+Cg==);--jp-icon-list:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICAgIDxwYXRoIGNsYXNzPSJqcC1pY29uMiBqcC1pY29uLXNlbGVjdGFibGUiIGZpbGw9IiM2MTYxNjEiIGQ9Ik0xOSA1djE0SDVWNWgxNG0xLjEtMkgzLjljLS41IDAtLjkuNC0uOS45djE2LjJjMCAuNC40LjkuOS45aDE2LjJjLjQgMCAuOS0uNS45LS45VjMuOWMwLS41LS41LS45LS45LS45ek0xMSA3aDZ2MmgtNlY3em0wIDRoNnYyaC02di0yem0wIDRoNnYyaC02ek03IDdoMnYySDd6bTAgNGgydjJIN3ptMCA0aDJ2Mkg3eiIvPgo8L3N2Zz4K);--jp-icon-markdown:url(data:image/svg+xml;base64,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);--jp-icon-move-down:url(data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMTQiIGhlaWdodD0iMTQiIHZpZXdCb3g9IjAgMCAxNCAxNCIgZmlsbD0ibm9uZSIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KPHBhdGggY2xhc3M9ImpwLWljb24zIiBkPSJNMTIuNDcxIDcuNTI4OTlDMTIuNzYzMiA3LjIzNjg0IDEyLjc2MzIgNi43NjMxNiAxMi40NzEgNi40NzEwMVY2LjQ3MTAxQzEyLjE3OSA2LjE3OTA1IDExLjcwNTcgNi4xNzg4NCAxMS40MTM1IDYuNDcwNTRMNy43NSAxMC4xMjc1VjEuNzVDNy43NSAxLjMzNTc5IDcuNDE0MjEgMSA3IDFWMUM2LjU4NTc5IDEgNi4yNSAxLjMzNTc5IDYuMjUgMS43NVYxMC4xMjc1TDIuNTk3MjYgNi40NjgyMkMyLjMwMzM4IDYuMTczODEgMS44MjY0MSA2LjE3MzU5IDEuNTMyMjYgNi40Njc3NFY2LjQ2Nzc0QzEuMjM4MyA2Ljc2MTcgMS4yMzgzIDcuMjM4MyAxLjUzMjI2IDcuNTMyMjZMNi4yOTI4OSAxMi4yOTI5QzYuNjgzNDIgMTIuNjgzNCA3LjMxNjU4IDEyLjY4MzQgNy43MDcxMSAxMi4yOTI5TDEyLjQ3MSA3LjUyODk5WiIgZmlsbD0iIzYxNjE2MSIvPgo8L3N2Zz4K);--jp-icon-move-up:url(data:image/svg+xml;base64,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);--jp-icon-new-folder:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTIwIDZoLThsLTItMkg0Yy0xLjExIDAtMS45OS44OS0xLjk5IDJMMiAxOGMwIDEuMTEuODkgMiAyIDJoMTZjMS4xMSAwIDItLjg5IDItMlY4YzAtMS4xMS0uODktMi0yLTJ6bS0xIDhoLTN2M2gtMnYtM2gtM3YtMmgzVjloMnYzaDN2MnoiLz4KICA8L2c+Cjwvc3ZnPgo=);--jp-icon-not-trusted:url(data:image/svg+xml;base64,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);--jp-icon-notebook:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIyIDIyIj4KICA8ZyBjbGFzcz0ianAtbm90ZWJvb2staWNvbi1jb2xvciBqcC1pY29uLXNlbGVjdGFibGUiIGZpbGw9IiNFRjZDMDAiPgogICAgPHBhdGggZD0iTTE4LjcgMy4zdjE1LjRIMy4zVjMuM2gxNS40bTEuNS0xLjVIMS44djE4LjNoMTguM2wuMS0xOC4zeiIvPgogICAgPHBhdGggZD0iTTE2LjUgMTYuNWwtNS40LTQuMy01LjYgNC4zdi0xMWgxMXoiLz4KICA8L2c+Cjwvc3ZnPgo=);--jp-icon-numbering:url(data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMjIiIGhlaWdodD0iMjIiIHZpZXdCb3g9IjAgMCAyOCAyOCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KCTxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CgkJPHBhdGggZD0iTTQgMTlINlYxOS41SDVWMjAuNUg2VjIxSDRWMjJIN1YxOEg0VjE5Wk01IDEwSDZWNkg0VjdINVYxMFpNNCAxM0g1LjhMNCAxNS4xVjE2SDdWMTVINS4yTDcgMTIuOVYxMkg0VjEzWk05IDdWOUgyM1Y3SDlaTTkgMjFIMjNWMTlIOVYyMVpNOSAxNUgyM1YxM0g5VjE1WiIvPgoJPC9nPgo8L3N2Zz4K);--jp-icon-offline-bolt:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHZpZXdCb3g9IjAgMCAyNCAyNCIgd2lkdGg9IjE2Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTEyIDIuMDJjLTUuNTEgMC05Ljk4IDQuNDctOS45OCA5Ljk4czQuNDcgOS45OCA5Ljk4IDkuOTggOS45OC00LjQ3IDkuOTgtOS45OFMxNy41MSAyLjAyIDEyIDIuMDJ6TTExLjQ4IDIwdi02LjI2SDhMMTMgNHY2LjI2aDMuMzVMMTEuNDggMjB6Ii8+CiAgPC9nPgo8L3N2Zz4K);--jp-icon-palette:url(data:image/svg+xml;base64,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);--jp-icon-paste:url(data:image/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjI0IiB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTE5IDJoLTQuMThDMTQuNC44NCAxMy4zIDAgMTIgMGMtMS4zIDAtMi40Ljg0LTIuODIgMkg1Yy0xLjEgMC0yIC45LTIgMnYxNmMwIDEuMS45IDIgMiAyaDE0YzEuMSAwIDItLjkgMi0yVjRjMC0xLjEtLjktMi0yLTJ6bS03IDBjLjU1IDAgMSAuNDUgMSAxcy0uNDUgMS0xIDEtMS0uNDUtMS0xIC40NS0xIDEtMXptNyAxOEg1VjRoMnYzaDEwVjRoMnYxNnoiLz4KICAgIDwvZz4KPC9zdmc+Cg==);--jp-icon-pdf:url(data:image/svg+xml;base64,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);--jp-icon-python:url(data:image/svg+xml;base64,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);--jp-icon-r-kernel:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIyIDIyIj4KICA8cGF0aCBjbGFzcz0ianAtaWNvbi1jb250cmFzdDMganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjMjE5NkYzIiBkPSJNNC40IDIuNWMxLjItLjEgMi45LS4zIDQuOS0uMyAyLjUgMCA0LjEuNCA1LjIgMS4zIDEgLjcgMS41IDEuOSAxLjUgMy41IDAgMi0xLjQgMy41LTIuOSA0LjEgMS4yLjQgMS43IDEuNiAyLjIgMyAuNiAxLjkgMSAzLjkgMS4zIDQuNmgtMy44Yy0uMy0uNC0uOC0xLjctMS4yLTMuN3MtMS4yLTIuNi0yLjYtMi42aC0uOXY2LjRINC40VjIuNXptMy43IDYuOWgxLjRjMS45IDAgMi45LS45IDIuOS0yLjNzLTEtMi4zLTIuOC0yLjNjLS43IDAtMS4zIDAtMS42LjJ2NC41aC4xdi0uMXoiLz4KPC9zdmc+Cg==);--jp-icon-react:url(data:image/svg+xml;base64,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);--jp-icon-redo:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIGhlaWdodD0iMjQiIHZpZXdCb3g9IjAgMCAyNCAyNCIgd2lkdGg9IjE2Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgICA8cGF0aCBkPSJNMCAwaDI0djI0SDB6IiBmaWxsPSJub25lIi8+PHBhdGggZD0iTTE4LjQgMTAuNkMxNi41NSA4Ljk5IDE0LjE1IDggMTEuNSA4Yy00LjY1IDAtOC41OCAzLjAzLTkuOTYgNy4yMkwzLjkgMTZjMS4wNS0zLjE5IDQuMDUtNS41IDcuNi01LjUgMS45NSAwIDMuNzMuNzIgNS4xMiAxLjg4TDEzIDE2aDlWN2wtMy42IDMuNnoiLz4KICA8L2c+Cjwvc3ZnPgo=);--jp-icon-refresh:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDE4IDE4Ij4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTkgMTMuNWMtMi40OSAwLTQuNS0yLjAxLTQuNS00LjVTNi41MSA0LjUgOSA0LjVjMS4yNCAwIDIuMzYuNTIgMy4xNyAxLjMzTDEwIDhoNVYzbC0xLjc2IDEuNzZDMTIuMTUgMy42OCAxMC42NiAzIDkgMyA1LjY5IDMgMy4wMSA1LjY5IDMuMDEgOVM1LjY5IDE1IDkgMTVjMi45NyAwIDUuNDMtMi4xNiA1LjktNWgtMS41MmMtLjQ2IDItMi4yNCAzLjUtNC4zOCAzLjV6Ii8+CiAgICA8L2c+Cjwvc3ZnPgo=);--jp-icon-regex:url(data:image/svg+xml;base64,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);--jp-icon-run:url(data:image/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjI0IiB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTggNXYxNGwxMS03eiIvPgogICAgPC9nPgo8L3N2Zz4K);--jp-icon-running:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDUxMiA1MTIiPgogIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICA8cGF0aCBkPSJNMjU2IDhDMTE5IDggOCAxMTkgOCAyNTZzMTExIDI0OCAyNDggMjQ4IDI0OC0xMTEgMjQ4LTI0OFMzOTMgOCAyNTYgOHptOTYgMzI4YzAgOC44LTcuMiAxNi0xNiAxNkgxNzZjLTguOCAwLTE2LTcuMi0xNi0xNlYxNzZjMC04LjggNy4yLTE2IDE2LTE2aDE2MGM4LjggMCAxNiA3LjIgMTYgMTZ2MTYweiIvPgogIDwvZz4KPC9zdmc+Cg==);--jp-icon-save:url(data:image/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjI0IiB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTE3IDNINWMtMS4xMSAwLTIgLjktMiAydjE0YzAgMS4xLjg5IDIgMiAyaDE0YzEuMSAwIDItLjkgMi0yVjdsLTQtNHptLTUgMTZjLTEuNjYgMC0zLTEuMzQtMy0zczEuMzQtMyAzLTMgMyAxLjM0IDMgMy0xLjM0IDMtMyAzem0zLTEwSDVWNWgxMHY0eiIvPgogICAgPC9nPgo8L3N2Zz4K);--jp-icon-search:url(data:image/svg+xml;base64,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);--jp-icon-settings:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8cGF0aCBjbGFzcz0ianAtaWNvbjMganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjNjE2MTYxIiBkPSJNMTkuNDMgMTIuOThjLjA0LS4zMi4wNy0uNjQuMDctLjk4cy0uMDMtLjY2LS4wNy0uOThsMi4xMS0xLjY1Yy4xOS0uMTUuMjQtLjQyLjEyLS42NGwtMi0zLjQ2Yy0uMTItLjIyLS4zOS0uMy0uNjEtLjIybC0yLjQ5IDFjLS41Mi0uNC0xLjA4LS43My0xLjY5LS45OGwtLjM4LTIuNjVBLjQ4OC40ODggMCAwMDE0IDJoLTRjLS4yNSAwLS40Ni4xOC0uNDkuNDJsLS4zOCAyLjY1Yy0uNjEuMjUtMS4xNy41OS0xLjY5Ljk4bC0yLjQ5LTFjLS4yMy0uMDktLjQ5IDAtLjYxLjIybC0yIDMuNDZjLS4xMy4yMi0uMDcuNDkuMTIuNjRsMi4xMSAxLjY1Yy0uMDQuMzItLjA3LjY1LS4wNy45OHMuMDMuNjYuMDcuOThsLTIuMTEgMS42NWMtLjE5LjE1LS4yNC40Mi0uMTIuNjRsMiAzLjQ2Yy4xMi4yMi4zOS4zLjYxLjIybDIuNDktMWMuNTIuNCAxLjA4LjczIDEuNjkuOThsLjM4IDIuNjVjLjAzLjI0LjI0LjQyLjQ5LjQyaDRjLjI1IDAgLjQ2LS4xOC40OS0uNDJsLjM4LTIuNjVjLjYxLS4yNSAxLjE3LS41OSAxLjY5LS45OGwyLjQ5IDFjLjIzLjA5LjQ5IDAgLjYxLS4yMmwyLTMuNDZjLjEyLS4yMi4wNy0uNDktLjEyLS42NGwtMi4xMS0xLjY1ek0xMiAxNS41Yy0xLjkzIDAtMy41LTEuNTctMy41LTMuNXMxLjU3LTMuNSAzLjUtMy41IDMuNSAxLjU3IDMuNSAzLjUtMS41NyAzLjUtMy41IDMuNXoiLz4KPC9zdmc+Cg==);--jp-icon-share:url(data:image/svg+xml;base64,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);--jp-icon-spreadsheet:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIyIDIyIj4KICA8cGF0aCBjbGFzcz0ianAtaWNvbi1jb250cmFzdDEganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjNENBRjUwIiBkPSJNMi4yIDIuMnYxNy42aDE3LjZWMi4ySDIuMnptMTUuNCA3LjdoLTUuNVY0LjRoNS41djUuNXpNOS45IDQuNHY1LjVINC40VjQuNGg1LjV6bS01LjUgNy43aDUuNXY1LjVINC40di01LjV6bTcuNyA1LjV2LTUuNWg1LjV2NS41aC01LjV6Ii8+Cjwvc3ZnPgo=);--jp-icon-stop:url(data:image/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjI0IiB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTAgMGgyNHYyNEgweiIgZmlsbD0ibm9uZSIvPgogICAgICAgIDxwYXRoIGQ9Ik02IDZoMTJ2MTJINnoiLz4KICAgIDwvZz4KPC9zdmc+Cg==);--jp-icon-tab:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTIxIDNIM2MtMS4xIDAtMiAuOS0yIDJ2MTRjMCAxLjEuOSAyIDIgMmgxOGMxLjEgMCAyLS45IDItMlY1YzAtMS4xLS45LTItMi0yem0wIDE2SDNWNWgxMHY0aDh2MTB6Ii8+CiAgPC9nPgo8L3N2Zz4K);--jp-icon-table-rows:url(data:image/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjI0IiB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTAgMGgyNHYyNEgweiIgZmlsbD0ibm9uZSIvPgogICAgICAgIDxwYXRoIGQ9Ik0yMSw4SDNWNGgxOFY4eiBNMjEsMTBIM3Y0aDE4VjEweiBNMjEsMTZIM3Y0aDE4VjE2eiIvPgogICAgPC9nPgo8L3N2Zz4K);--jp-icon-tag:url(data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMjgiIGhlaWdodD0iMjgiIHZpZXdCb3g9IjAgMCA0MyAyOCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KCTxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CgkJPHBhdGggZD0iTTI4LjgzMzIgMTIuMzM0TDMyLjk5OTggMTYuNTAwN0wzNy4xNjY1IDEyLjMzNEgyOC44MzMyWiIvPgoJCTxwYXRoIGQ9Ik0xNi4yMDk1IDIxLjYxMDRDMTUuNjg3MyAyMi4xMjk5IDE0Ljg0NDMgMjIuMTI5OSAxNC4zMjQ4IDIxLjYxMDRMNi45ODI5IDE0LjcyNDVDNi41NzI0IDE0LjMzOTQgNi4wODMxMyAxMy42MDk4IDYuMDQ3ODYgMTMuMDQ4MkM1Ljk1MzQ3IDExLjUyODggNi4wMjAwMiA4LjYxOTQ0IDYuMDY2MjEgNy4wNzY5NUM2LjA4MjgxIDYuNTE0NzcgNi41NTU0OCA2LjA0MzQ3IDcuMTE4MDQgNi4wMzA1NUM5LjA4ODYzIDUuOTg0NzMgMTMuMjYzOCA1LjkzNTc5IDEzLjY1MTggNi4zMjQyNUwyMS43MzY5IDEzLjYzOUMyMi4yNTYgMTQuMTU4NSAyMS43ODUxIDE1LjQ3MjQgMjEuMjYyIDE1Ljk5NDZMMTYuMjA5NSAyMS42MTA0Wk05Ljc3NTg1IDguMjY1QzkuMzM1NTEgNy44MjU2NiA4LjYyMzUxIDcuODI1NjYgOC4xODI4IDguMjY1QzcuNzQzNDYgOC43MDU3MSA3Ljc0MzQ2IDkuNDE3MzMgOC4xODI4IDkuODU2NjdDOC42MjM4MiAxMC4yOTY0IDkuMzM1ODIgMTAuMjk2NCA5Ljc3NTg1IDkuODU2NjdDMTAuMjE1NiA5LjQxNzMzIDEwLjIxNTYgOC43MDUzMyA5Ljc3NTg1IDguMjY1WiIvPgoJPC9nPgo8L3N2Zz4K);--jp-icon-terminal:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0IiA+CiAgICA8cmVjdCBjbGFzcz0ianAtdGVybWluYWwtaWNvbi1iYWNrZ3JvdW5kLWNvbG9yIGpwLWljb24tc2VsZWN0YWJsZSIgd2lkdGg9IjIwIiBoZWlnaHQ9IjIwIiB0cmFuc2Zvcm09InRyYW5zbGF0ZSgyIDIpIiBmaWxsPSIjMzMzMzMzIi8+CiAgICA8cGF0aCBjbGFzcz0ianAtdGVybWluYWwtaWNvbi1jb2xvciBqcC1pY29uLXNlbGVjdGFibGUtaW52ZXJzZSIgZD0iTTUuMDU2NjQgOC43NjE3MkM1LjA1NjY0IDguNTk3NjYgNS4wMzEyNSA4LjQ1MzEyIDQuOTgwNDcgOC4zMjgxMkM0LjkzMzU5IDguMTk5MjIgNC44NTU0NyA4LjA4MjAzIDQuNzQ2MDkgNy45NzY1NkM0LjY0MDYyIDcuODcxMDkgNC41IDcuNzc1MzkgNC4zMjQyMiA3LjY4OTQ1QzQuMTUyMzQgNy41OTk2MSAzLjk0MzM2IDcuNTExNzIgMy42OTcyNyA3LjQyNTc4QzMuMzAyNzMgNy4yODUxNiAyLjk0MzM2IDcuMTM2NzIgMi42MTkxNCA2Ljk4MDQ3QzIuMjk0OTIgNi44MjQyMiAyLjAxNzU4IDYuNjQyNTggMS43ODcxMSA2LjQzNTU1QzEuNTYwNTUgNi4yMjg1MiAxLjM4NDc3IDUuOTg4MjggMS4yNTk3NyA1LjcxNDg0QzEuMTM0NzcgNS40Mzc1IDEuMDcyMjcgNS4xMDkzOCAxLjA3MjI3IDQuNzMwNDdDMS4wNzIyNyA0LjM5ODQ0IDEuMTI4OTEgNC4wOTU3IDEuMjQyMTkgMy44MjIyN0MxLjM1NTQ3IDMuNTQ0OTIgMS41MTU2MiAzLjMwNDY5IDEuNzIyNjYgMy4xMDE1NkMxLjkyOTY5IDIuODk4NDQgMi4xNzk2OSAyLjczNDM3IDIuNDcyNjYgMi42MDkzOEMyLjc2NTYyIDIuNDg0MzggMy4wOTE4IDIuNDA0MyAzLjQ1MTE3IDIuMzY5MTRWMS4xMDkzOEg0LjM4ODY3VjIuMzgwODZDNC43NDAyMyAyLjQyNzczIDUuMDU2NjQgMi41MjM0NCA1LjMzNzg5IDIuNjY3OTdDNS42MTkxNCAyLjgxMjUgNS44NTc0MiAzLjAwMTk1IDYuMDUyNzMgMy4yMzYzM0M2LjI1MTk1IDMuNDY2OCA2LjQwNDMgMy43NDAyMyA2LjUwOTc3IDQuMDU2NjRDNi42MTkxNCA0LjM2OTE0IDYuNjczODMgNC43MjA3IDYuNjczODMgNS4xMTEzM0g1LjA0NDkyQzUuMDQ0OTIgNC42Mzg2NyA0LjkzNzUgNC4yODEyNSA0LjcyMjY2IDQuMDM5MDZDNC41MDc4MSAzLjc5Mjk3IDQuMjE2OCAzLjY2OTkyIDMuODQ5NjEgMy42Njk5MkMzLjY1MDM5IDMuNjY5OTIgMy40NzY1NiAzLjY5NzI3IDMuMzI4MTIgMy43NTE5NUMzLjE4MzU5IDMuODAyNzMgMy4wNjQ0NSAzLjg3Njk1IDIuOTcwNyAzLjk3NDYxQzIuODc2OTUgNC4wNjgzNiAyLjgwNjY0IDQuMTc5NjkgMi43NTk3NyA0LjMwODU5QzIuNzE2OCA0LjQzNzUgMi42OTUzMSA0LjU3ODEyIDIuNjk1MzEgNC43MzA0N0MyLjY5NTMxIDQuODgyODEgMi43MTY4IDUuMDE5NTMgMi43NTk3NyA1LjE0MDYyQzIuODA2NjQgNS4yNTc4MSAyLjg4MjgxIDUuMzY3MTkgMi45ODgyOCA1LjQ2ODc1QzMuMDk3NjYgNS41NzAzMSAzLjI0MDIzIDUuNjY3OTcgMy40MTYwMiA1Ljc2MTcyQzMuNTkxOCA1Ljg1MTU2IDMuODEwNTUgNS45NDMzNiA0LjA3MjI3IDYuMDM3MTFDNC40NjY4IDYuMTg1NTUgNC44MjQyMiA2LjMzOTg0IDUuMTQ0NTMgNi41QzUuNDY0ODQgNi42NTYyNSA1LjczODI4IDYuODM5ODQgNS45NjQ4NCA3LjA1MDc4QzYuMTk1MzEgNy4yNTc4MSA2LjM3MTA5IDcuNSA2LjQ5MjE5IDcuNzc3MzRDNi42MTcxOSA4LjA1MDc4IDYuNjc5NjkgOC4zNzUgNi42Nzk2OSA4Ljc1QzYuNjc5NjkgOS4wOTM3NSA2LjYyMzA1IDkuNDA0MyA2LjUwOTc3IDkuNjgxNjRDNi4zOTY0OCA5Ljk1NTA4IDYuMjM0MzggMTAuMTkxNCA2LjAyMzQ0IDEwLjM5MDZDNS44MTI1IDEwLjU4OTggNS41NTg1OSAxMC43NSA1LjI2MTcyIDEwLjg3MTFDNC45NjQ4NCAxMC45ODgzIDQuNjMyODEgMTEuMDY0NSA0LjI2NTYyIDExLjA5OTZWMTIuMjQ4SDMuMzMzOThWMTEuMDk5NkMzLjAwMTk1IDExLjA2ODQgMi42Nzk2OSAxMC45OTYxIDIuMzY3MTkgMTAuODgyOEMyLjA1NDY5IDEwLjc2NTYgMS43NzczNCAxMC41OTc3IDEuNTM1MTYgMTAuMzc4OUMxLjI5Njg4IDEwLjE2MDIgMS4xMDU0NyA5Ljg4NDc3IDAuOTYwOTM4IDkuNTUyNzNDMC44MTY0MDYgOS4yMTY4IDAuNzQ0MTQxIDguODE0NDUgMC43NDQxNDEgOC4zNDU3SDIuMzc4OTFDMi4zNzg5MSA4LjYyNjk1IDIuNDE5OTIgOC44NjMyOCAyLjUwMTk1IDkuMDU0NjlDMi41ODM5OCA5LjI0MjE5IDIuNjg5NDUgOS4zOTI1OCAyLjgxODM2IDkuNTA1ODZDMi45NTExNyA5LjYxNTIzIDMuMTAxNTYgOS42OTMzNiAzLjI2OTUzIDkuNzQwMjNDMy40Mzc1IDkuNzg3MTEgMy42MDkzOCA5LjgxMDU1IDMuNzg1MTYgOS44MTA1NUM0LjIwMzEyIDkuODEwNTUgNC41MTk1MyA5LjcxMjg5IDQuNzM0MzggOS41MTc1OEM0Ljk0OTIyIDkuMzIyMjcgNS4wNTY2NCA5LjA3MDMxIDUuMDU2NjQgOC43NjE3MlpNMTMuNDE4IDEyLjI3MTVIOC4wNzQyMlYxMUgxMy40MThWMTIuMjcxNVoiIHRyYW5zZm9ybT0idHJhbnNsYXRlKDMuOTUyNjQgNikiIGZpbGw9IndoaXRlIi8+Cjwvc3ZnPgo=);--jp-icon-text-editor:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDI0IDI0Ij4KICA8cGF0aCBjbGFzcz0ianAtdGV4dC1lZGl0b3ItaWNvbi1jb2xvciBqcC1pY29uLXNlbGVjdGFibGUiIGZpbGw9IiM2MTYxNjEiIGQ9Ik0xNSAxNUgzdjJoMTJ2LTJ6bTAtOEgzdjJoMTJWN3pNMyAxM2gxOHYtMkgzdjJ6bTAgOGgxOHYtMkgzdjJ6TTMgM3YyaDE4VjNIM3oiLz4KPC9zdmc+Cg==);--jp-icon-toc:url(data:image/svg+xml;base64,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);--jp-icon-tree-view:url(data:image/svg+xml;base64,PHN2ZyBoZWlnaHQ9IjI0IiB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICAgIDxnIGNsYXNzPSJqcC1pY29uMyIgZmlsbD0iIzYxNjE2MSI+CiAgICAgICAgPHBhdGggZD0iTTAgMGgyNHYyNEgweiIgZmlsbD0ibm9uZSIvPgogICAgICAgIDxwYXRoIGQ9Ik0yMiAxMVYzaC03djNIOVYzSDJ2OGg3VjhoMnYxMGg0djNoN3YtOGgtN3YzaC0yVjhoMnYzeiIvPgogICAgPC9nPgo8L3N2Zz4K);--jp-icon-trusted:url(data:image/svg+xml;base64,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);--jp-icon-undo:url(data:image/svg+xml;base64,PHN2ZyB2aWV3Qm94PSIwIDAgMjQgMjQiIHdpZHRoPSIxNiIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTEyLjUgOGMtMi42NSAwLTUuMDUuOTktNi45IDIuNkwyIDd2OWg5bC0zLjYyLTMuNjJjMS4zOS0xLjE2IDMuMTYtMS44OCA1LjEyLTEuODggMy41NCAwIDYuNTUgMi4zMSA3LjYgNS41bDIuMzctLjc4QzIxLjA4IDExLjAzIDE3LjE1IDggMTIuNSA4eiIvPgogIDwvZz4KPC9zdmc+Cg==);--jp-icon-user:url(data:image/svg+xml;base64,PHN2ZyB3aWR0aD0iMTYiIHZpZXdCb3g9IjAgMCAyNCAyNCIgeG1sbnM9Imh0dHA6Ly93d3cudzMub3JnLzIwMDAvc3ZnIj4KICA8ZyBjbGFzcz0ianAtaWNvbjMiIGZpbGw9IiM2MTYxNjEiPgogICAgPHBhdGggZD0iTTE2IDdhNCA0IDAgMTEtOCAwIDQgNCAwIDAxOCAwek0xMiAxNGE3IDcgMCAwMC03IDdoMTRhNyA3IDAgMDAtNy03eiIvPgogIDwvZz4KPC9zdmc+Cg==);--jp-icon-users:url(data:image/svg+xml;base64,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);--jp-icon-vega:url(data:image/svg+xml;base64,PHN2ZyB4bWxucz0iaHR0cDovL3d3dy53My5vcmcvMjAwMC9zdmciIHdpZHRoPSIxNiIgdmlld0JveD0iMCAwIDIyIDIyIj4KICA8ZyBjbGFzcz0ianAtaWNvbjEganAtaWNvbi1zZWxlY3RhYmxlIiBmaWxsPSIjMjEyMTIxIj4KICAgIDxwYXRoIGQ9Ik0xMC42IDUuNGwyLjItMy4ySDIuMnY3LjNsNC02LjZ6Ii8+CiAgICA8cGF0aCBkPSJNMTUuOCAyLjJsLTQuNCA2LjZMNyA2LjNsLTQuOCA4djUuNWgxNy42VjIuMmgtNHptLTcgMTUuNEg1LjV2LTQuNGgzLjN2NC40em00LjQgMEg5LjhWOS44aDMuNHY3Ljh6bTQuNCAwaC0zLjRWNi41aDMuNHYxMS4xeiIvPgogIDwvZz4KPC9zdmc+Cg==);--jp-icon-word:url(data:image/svg+xml;base64,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);--jp-icon-yaml:url(data:image/svg+xml;base64,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)}
 .jp-AddAboveIcon{background-image:var(--jp-icon-add-above)}.jp-AddBelowIcon{background-image:var(--jp-icon-add-below)}.jp-AddIcon{background-image:var(--jp-icon-add)}.jp-BellIcon{background-image:var(--jp-icon-bell)}.jp-BugDotIcon{background-image:var(--jp-icon-bug-dot)}.jp-BugIcon{background-image:var(--jp-icon-bug)}.jp-BuildIcon{background-image:var(--jp-icon-build)}.jp-CaretDownEmptyIcon{background-image:var(--jp-icon-caret-down-empty)}.jp-CaretDownEmptyThinIcon{background-image:var(--jp-icon-caret-down-empty-thin)}.jp-CaretDownIcon{background-image:var(--jp-icon-caret-down)}.jp-CaretLeftIcon{background-image:var(--jp-icon-caret-left)}.jp-CaretRightIcon{background-image:var(--jp-icon-caret-right)}.jp-CaretUpEmptyThinIcon{background-image:var(--jp-icon-caret-up-empty-thin)}.jp-CaretUpIcon{background-image:var(--jp-icon-caret-up)}.jp-CaseSensitiveIcon{background-image:var(--jp-icon-case-sensitive)}.jp-CheckIcon{background-image:var(--jp-icon-check)}.jp-CircleEmptyIcon{background-image:var(--jp-icon-circle-empty)}.jp-CircleIcon{background-image:var(--jp-icon-circle)}.jp-ClearIcon{background-image:var(--jp-icon-clear)}.jp-CloseIcon{background-image:var(--jp-icon-close)}.jp-CodeCheckIcon{background-image:var(--jp-icon-code-check)}.jp-CodeIcon{background-image:var(--jp-icon-code)}.jp-CollapseAllIcon{background-image:var(--jp-icon-collapse-all)}.jp-ConsoleIcon{background-image:var(--jp-icon-console)}.jp-CopyIcon{background-image:var(--jp-icon-copy)}.jp-CopyrightIcon{background-image:var(--jp-icon-copyright)}.jp-CutIcon{background-image:var(--jp-icon-cut)}.jp-DeleteIcon{background-image:var(--jp-icon-delete)}.jp-DownloadIcon{background-image:var(--jp-icon-download)}.jp-DuplicateIcon{background-image:var(--jp-icon-duplicate)}.jp-EditIcon{background-image:var(--jp-icon-edit)}.jp-EllipsesIcon{background-image:var(--jp-icon-ellipses)}.jp-ErrorIcon{background-image:var(--jp-icon-error)}.jp-ExpandAllIcon{background-image:var(--jp-icon-expand-all)}.jp-ExtensionIcon{background-image:var(--jp-icon-extension)}.jp-FastForwardIcon{background-image:var(--jp-icon-fast-forward)}.jp-FileIcon{background-image:var(--jp-icon-file)}.jp-FileUploadIcon{background-image:var(--jp-icon-file-upload)}.jp-FilterDotIcon{background-image:var(--jp-icon-filter-dot)}.jp-FilterIcon{background-image:var(--jp-icon-filter)}.jp-FilterListIcon{background-image:var(--jp-icon-filter-list)}.jp-FolderFavoriteIcon{background-image:var(--jp-icon-folder-favorite)}.jp-FolderIcon{background-image:var(--jp-icon-folder)}.jp-HomeIcon{background-image:var(--jp-icon-home)}.jp-Html5Icon{background-image:var(--jp-icon-html5)}.jp-ImageIcon{background-image:var(--jp-icon-image)}.jp-InfoIcon{background-image:var(--jp-icon-info)}.jp-InspectorIcon{background-image:var(--jp-icon-inspector)}.jp-JsonIcon{background-image:var(--jp-icon-json)}.jp-JuliaIcon{background-image:var(--jp-icon-julia)}.jp-JupyterFaviconIcon{background-image:var(--jp-icon-jupyter-favicon)}.jp-JupyterIcon{background-image:var(--jp-icon-jupyter)}.jp-JupyterlabWordmarkIcon{background-image:var(--jp-icon-jupyterlab-wordmark)}.jp-KernelIcon{background-image:var(--jp-icon-kernel)}.jp-KeyboardIcon{background-image:var(--jp-icon-keyboard)}.jp-LaunchIcon{background-image:var(--jp-icon-launch)}.jp-LauncherIcon{background-image:var(--jp-icon-launcher)}.jp-LineFormIcon{background-image:var(--jp-icon-line-form)}.jp-LinkIcon{background-image:var(--jp-icon-link)}.jp-ListIcon{background-image:var(--jp-icon-list)}.jp-MarkdownIcon{background-image:var(--jp-icon-markdown)}.jp-MoveDownIcon{background-image:var(--jp-icon-move-down)}.jp-MoveUpIcon{background-image:var(--jp-icon-move-up)}.jp-NewFolderIcon{background-image:var(--jp-icon-new-folder)}.jp-NotTrustedIcon{background-image:var(--jp-icon-not-trusted)}.jp-NotebookIcon{background-image:var(--jp-icon-notebook)}.jp-NumberingIcon{background-image:var(--jp-icon-numbering)}.jp-OfflineBoltIcon{background-image:var(--jp-icon-offline-bolt)}.jp-PaletteIcon{background-image:var(--jp-icon-palette)}.jp-PasteIcon{background-image:var(--jp-icon-paste)}.jp-PdfIcon{background-image:var(--jp-icon-pdf)}.jp-PythonIcon{background-image:var(--jp-icon-python)}.jp-RKernelIcon{background-image:var(--jp-icon-r-kernel)}.jp-ReactIcon{background-image:var(--jp-icon-react)}.jp-RedoIcon{background-image:var(--jp-icon-redo)}.jp-RefreshIcon{background-image:var(--jp-icon-refresh)}.jp-RegexIcon{background-image:var(--jp-icon-regex)}.jp-RunIcon{background-image:var(--jp-icon-run)}.jp-RunningIcon{background-image:var(--jp-icon-running)}.jp-SaveIcon{background-image:var(--jp-icon-save)}.jp-SearchIcon{background-image:var(--jp-icon-search)}.jp-SettingsIcon{background-image:var(--jp-icon-settings)}.jp-ShareIcon{background-image:var(--jp-icon-share)}.jp-SpreadsheetIcon{background-image:var(--jp-icon-spreadsheet)}.jp-StopIcon{background-image:var(--jp-icon-stop)}.jp-TabIcon{background-image:var(--jp-icon-tab)}.jp-TableRowsIcon{background-image:var(--jp-icon-table-rows)}.jp-TagIcon{background-image:var(--jp-icon-tag)}
 .jp-TerminalIcon{background-image:var(--jp-icon-terminal)}.jp-TextEditorIcon{background-image:var(--jp-icon-text-editor)}.jp-TocIcon{background-image:var(--jp-icon-toc)}.jp-TreeViewIcon{background-image:var(--jp-icon-tree-view)}.jp-TrustedIcon{background-image:var(--jp-icon-trusted)}.jp-UndoIcon{background-image:var(--jp-icon-undo)}.jp-UserIcon{background-image:var(--jp-icon-user)}.jp-UsersIcon{background-image:var(--jp-icon-users)}.jp-VegaIcon{background-image:var(--jp-icon-vega)}.jp-WordIcon{background-image:var(--jp-icon-word)}.jp-YamlIcon{background-image:var(--jp-icon-yaml)}.jp-Icon,.jp-MaterialIcon{background-position:center;background-repeat:no-repeat;background-size:16px;min-width:16px;min-height:16px}.jp-Icon-cover{background-position:center;background-repeat:no-repeat;background-size:cover}.jp-Icon-16{background-size:16px;min-width:16px;min-height:16px}.jp-Icon-18{background-size:18px;min-width:18px;min-height:18px}.jp-Icon-20{background-size:20px;min-width:20px;min-height:20px}.lm-TabBar .lm-TabBar-addButton{align-items:center;display:flex;padding:4px;padding-bottom:5px;margin-right:1px;background-color:var(--jp-layout-color2)}.lm-TabBar .lm-TabBar-addButton:hover{background-color:var(--jp-layout-color1)}.lm-DockPanel-tabBar .lm-TabBar-tab{width:var(--jp-private-horizontal-tab-width)}.lm-DockPanel-tabBar .lm-TabBar-content{flex:unset}.lm-DockPanel-tabBar[data-orientation='horizontal']{flex:1 1 auto}.jp-icon0[fill]{fill:var(--jp-inverse-layout-color0)}.jp-icon1[fill]{fill:var(--jp-inverse-layout-color1)}.jp-icon2[fill]{fill:var(--jp-inverse-layout-color2)}.jp-icon3[fill]{fill:var(--jp-inverse-layout-color3)}.jp-icon4[fill]{fill:var(--jp-inverse-layout-color4)}.jp-icon0[stroke]{stroke:var(--jp-inverse-layout-color0)}.jp-icon1[stroke]{stroke:var(--jp-inverse-layout-color1)}.jp-icon2[stroke]{stroke:var(--jp-inverse-layout-color2)}.jp-icon3[stroke]{stroke:var(--jp-inverse-layout-color3)}.jp-icon4[stroke]{stroke:var(--jp-inverse-layout-color4)}.jp-icon-accent0[fill]{fill:var(--jp-layout-color0)}.jp-icon-accent1[fill]{fill:var(--jp-layout-color1)}.jp-icon-accent2[fill]{fill:var(--jp-layout-color2)}.jp-icon-accent3[fill]{fill:var(--jp-layout-color3)}.jp-icon-accent4[fill]{fill:var(--jp-layout-color4)}.jp-icon-accent0[stroke]{stroke:var(--jp-layout-color0)}.jp-icon-accent1[stroke]{stroke:var(--jp-layout-color1)}.jp-icon-accent2[stroke]{stroke:var(--jp-layout-color2)}.jp-icon-accent3[stroke]{stroke:var(--jp-layout-color3)}.jp-icon-accent4[stroke]{stroke:var(--jp-layout-color4)}.jp-icon-none[fill]{fill:none}.jp-icon-none[stroke]{stroke:none}.jp-icon-brand0[fill]{fill:var(--jp-brand-color0)}.jp-icon-brand1[fill]{fill:var(--jp-brand-color1)}.jp-icon-brand2[fill]{fill:var(--jp-brand-color2)}.jp-icon-brand3[fill]{fill:var(--jp-brand-color3)}.jp-icon-brand4[fill]{fill:var(--jp-brand-color4)}.jp-icon-brand0[stroke]{stroke:var(--jp-brand-color0)}.jp-icon-brand1[stroke]{stroke:var(--jp-brand-color1)}.jp-icon-brand2[stroke]{stroke:var(--jp-brand-color2)}.jp-icon-brand3[stroke]{stroke:var(--jp-brand-color3)}.jp-icon-brand4[stroke]{stroke:var(--jp-brand-color4)}.jp-icon-warn0[fill]{fill:var(--jp-warn-color0)}.jp-icon-warn1[fill]{fill:var(--jp-warn-color1)}.jp-icon-warn2[fill]{fill:var(--jp-warn-color2)}.jp-icon-warn3[fill]{fill:var(--jp-warn-color3)}.jp-icon-warn0[stroke]{stroke:var(--jp-warn-color0)}.jp-icon-warn1[stroke]{stroke:var(--jp-warn-color1)}.jp-icon-warn2[stroke]{stroke:var(--jp-warn-color2)}.jp-icon-warn3[stroke]{stroke:var(--jp-warn-color3)}.jp-icon-contrast0[fill]{fill:var(--jp-icon-contrast-color0)}.jp-icon-contrast1[fill]{fill:var(--jp-icon-contrast-color1)}.jp-icon-contrast2[fill]{fill:var(--jp-icon-contrast-color2)}.jp-icon-contrast3[fill]{fill:var(--jp-icon-contrast-color3)}.jp-icon-contrast0[stroke]{stroke:var(--jp-icon-contrast-color0)}.jp-icon-contrast1[stroke]{stroke:var(--jp-icon-contrast-color1)}.jp-icon-contrast2[stroke]{stroke:var(--jp-icon-contrast-color2)}.jp-icon-contrast3[stroke]{stroke:var(--jp-icon-contrast-color3)}.jp-icon-dot[fill]{fill:var(--jp-warn-color0)}.jp-jupyter-icon-color[fill]{fill:var(--jp-jupyter-icon-color,var(--jp-warn-color0))}.jp-notebook-icon-color[fill]{fill:var(--jp-notebook-icon-color,var(--jp-warn-color0))}.jp-json-icon-color[fill]{fill:var(--jp-json-icon-color,var(--jp-warn-color1))}.jp-console-icon-color[fill]{fill:var(--jp-console-icon-color,white)}.jp-console-icon-background-color[fill]{fill:var(--jp-console-icon-background-color,var(--jp-brand-color1))}.jp-terminal-icon-color[fill]{fill:var(--jp-terminal-icon-color,var(--jp-layout-color2))}.jp-terminal-icon-background-color[fill]{fill:var(--jp-terminal-icon-background-color,var(--jp-inverse-layout-color2))}.jp-text-editor-icon-color[fill]{fill:var(--jp-text-editor-icon-color,var(--jp-inverse-layout-color3))}.jp-inspector-icon-color[fill]{fill:var(--jp-inspector-icon-color,var(--jp-inverse-layout-color3))}.jp-DirListing-item.jp-mod-selected .jp-icon-selectable[fill]{fill:#fff}.jp-DirListing-item.jp-mod-selected .jp-icon-selectable-inverse[fill]{fill:var(--jp-brand-color1)}
diff --git a/blog/2024/CahnHilliard/index.html b/blog/2024/CahnHilliard/index.html
index d06c48a9..2cb26d98 100644
--- a/blog/2024/CahnHilliard/index.html
+++ b/blog/2024/CahnHilliard/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Solving the Cahn-Hilliard equation on complex geometries | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,"> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/2024/CahnHilliard/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Solving the Cahn-Hilliard equation on complex geometries</h1> <p class="post-meta"> Created in June 19, 2024 </p> <p class="post-tags"> <a href="/blog/2024"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </a>   ·   <a href="/blog/tag/cahn-hilliard"> <i class="fa-solid fa-hashtag fa-sm"></i> Cahn-Hilliard</a>   <a href="/blog/tag/pdes"> <i class="fa-solid fa-hashtag fa-sm"></i> PDEs</a>   <a href="/blog/tag/iga"> <i class="fa-solid fa-hashtag fa-sm"></i> IGA</a>   ·   <a href="/blog/category/projects"> <i class="fa-solid fa-tag fa-sm"></i> Projects</a> </p> </header> <article class="post-content"> <div id="markdown-content"> <h2 id="the-cahn-hilliard-equation">The Cahn-Hilliard equation</h2> <p>The Cahn–Hilliard equation describes the process of phase separation, by which the two components of a binary fluid spontaneously separate and form domains pure in each component. It was originally proposed in 1958 to model phase separation in binary alloys <a class="citation" href="#Cahn-Hilliard">(Cahn &amp; Hilliard, 1958; Cahn, 1959)</a>. Since then it has been used to describe various phenomena, such as spinodal decomposition <a class="citation" href="#MARALDI201231">(Maraldi et al., 2012)</a>, diblock copolymer <a class="citation" href="#Choksi">(Choksi et al., 2009)</a>, image inpainting, tumor growth simulation <a class="citation" href="#tumor">(Hilhorst et al., 2015)</a> or multiphase fluid flows <a class="citation" href="#BADALASSI2003371">(Badalassi et al., 2003)</a>.</p> <div class="container"> <div class="row justify-content-center mt-3"> <div class="col mt-3 mt-md-0 d-flex justify-content-center"> <div style="width: 90%;"> <figure> <video src="/assets/video/ch.mp4" class="img-fluid rounded z-depth-1" width="auto" height="auto" autoplay="" controls=""></video> </figure> </div> </div> </div> <div class="caption text-center"> Solution of the Cahn-Hilliard equation on a quarter of anulus from a randomly perturbed initial condition. </div> </div> <p>There are two main approaches to describing phase transition phenomena: sharp-interface models and phase-field models. Sharp-interface models involve the resolution of a moving boundary problem, meaning that partial differential equations have to be solved for each phase. This can lead to physical <a class="citation" href="#Anderson">(Anderson et al., 1998)</a> and computational complications (missing reference), such as jump discontinuities across the interface. Phase-field models replace sharp-interfaces by thin transitions regions where the interfacial forces are smoothly distributed (diffuse interfaces). For this reason, phase-field models are also referred to as \emph{diffuse interface} models, and they are emerging as a promising tool to treat problems with interfaces.</p> <p>From the mathematical point of view, the Cahn-Hilliard equation is a stiff, fourth-order, nonlinear parabolic partial differential equation. The elementary form of the Cahn-Hilliard equation is given by</p> <p>\begin{equation} \frac{\partial \phi}{\partial t}=\nabla \cdot \left(m\left(\phi\right) \nabla \left(W’\left(\phi\right) -\epsilon ^2 \Delta \phi \right) \right) \label{element} \end{equation}</p> <p>where \(\phi\left(\mathbf{x},t\right) \in [-1,1]\) represents the phase-field variable, which describes the location of different components (e.g., \(\phi=-1\) in oil and \(\phi=1\) in water), \(m\left(\phi\right)\) is the mobility, \(W\left(\phi\right)\) is the so-called double-well potential, and \(\epsilon\) is a length scale related to the thickness of the diffuse interface.</p> <p>Two different approaches have been used to solve the Cahn-Hilliard equation: solving the original form given by Eqn.\eqref{element}, which involves fourth-order operators, or by splitting it into two second order partial differential equations by introducing an auxiliary variable — the chemical potential \(\mu\). The split version of the equation is given by</p> <p>\begin{equation} \frac{\partial \phi}{\partial t}=\nabla \cdot \left(m\left(\phi\right) \nabla \mu \right) \label{split1} \end{equation} \begin{equation} \mu=W’\left(\phi \right) - \epsilon^2 \Delta \phi. \label{chempot} \end{equation}</p> <p>The splitting strategy was proposed by Elliot <a class="citation" href="#Elliott1989ASO">(Elliott et al., 1989)</a> to avoid constraints related to the continuity of the basis functions when using the finite element method with a primal formulation. It also facilitates the imposition of the boundary conditions on a circular geometry, which is the case we are interested in. Unfortunately, this comes at a price of an additional degree of freedom introduced into the solver. Nevertheless, this reformulation reduces the complexity of the problem from the numerical point of view (see <a class="citation" href="#Zee">(van der Zee et al., 2011)</a>).</p> <p>The spatial discretization of the governing equations is performed using isogeometric analysis (IGA). IGA is a generalization of the finite-element method that uses non-uniform rational B-splines (NURBS) to define the discrete spaces. A significant advantage of IGA with respect to finite element analysis is that the basis functions can be constructed with controllable continuity across the element boundaries, even on mapped geometries. The higher-order global continuity of the basis functions has been shown to produce higher accuracy than classical \(\mathcal{C}^0\)-continuous finite elements for the same number of degrees of freedom; and has been widely used to solve partial differential equations with high-order spatial derivatives <a class="citation" href="#GOMEZ20084333">(Gomez et al., 2008; Gomez et al., 2010; Gomez &amp; Nogueira, 2012)</a>. Here, we will use \(\mathcal{C}^1\)-continuous quadratic splines for \(\phi\) and \(\mu\).</p> <h2 id="strong-form">Strong form</h2> <p>The strong form of the problem is formulated as follows: find \(\phi:\Omega \times \left[0,T\right]\rightarrow \mathbb{R}\) and \(\mu:\Omega \times \left[0,T\right]\rightarrow \mathbb{R}\) (being \(\mu\) an auxiliary variable) such that:</p> <p>\begin{equation} \frac{\partial \phi}{\partial t}=\nabla \cdot \left(m\left(\phi\right) \nabla \mu\right) \quad \text{in} \ \Omega \times \left[0,T\right], \label{st1} \end{equation} <br> \begin{equation} \mu=W’\left(\phi\right)-\epsilon^2 \Delta \phi \quad \text{in} \ \Omega \times \left[0,T\right], \label{st2} \end{equation} \begin{equation} \phi=g \quad \text{on} \ \Gamma_g \times \left[0,T\right], \label{st3} \end{equation} \begin{equation} <br> m\left(\phi\right)\epsilon^2\Delta\phi=q \quad \text{on} \ \Gamma_q \times \left[0,T\right], \label{st4} \end{equation} \begin{equation} \nabla\left(m\left(\phi\right)\mu\right)\cdot \mathbf{n}=s \quad \text{on} \ \Gamma_s \times \left[0,T\right], \label{st5} \end{equation} \begin{equation} \nabla\left(m\left(\phi\right)\phi\right)\cdot \mathbf{n}=h \quad \text{on} \ \Gamma_h \times \left[0,T\right], \label{st6}<br> \end{equation} \begin{equation} \phi\left(\mathbf{x},0\right)=\phi_0\left(\mathbf{x}\right) \quad \text{in} \ \Omega. \label{st7}<br> \end{equation}</p> <p>The double well function \(W\left(\phi\right)\) is defined such that it has two local minima, which makes possible the coexistence of the different phases. Some important examples of double well functions can be found in <a class="citation" href="#Gomez2">(Gomez &amp; van der Zee, 2017)</a>. In this work we will take the classical quartic potential</p> <p>\begin{equation} W\left(\phi\right)=\frac{1}{4}\left(1-\phi^2\right)^2, \end{equation}</p> <p>which is a qualitative approximation of the logarithmic double well.</p> <p>The mobility \(m\left(\phi\right)\), which can be linked with the diffusivity, controls the time scale of the problem. The most common approach is to set it as a constant, \(m\left(\phi\right)=m\). Such an approach is extensively applied in both analytical and numerical studies. We will take \(m\) constant and equal to one as recommended in <a class="citation" href="#GOMEZ20084333">(Gomez et al., 2008)</a>.</p> <p>The parameter \(\epsilon\) is a positive constant that defines the length scale for the problem. According to <a class="citation" href="#GOMEZ20084333">(Gomez et al., 2008)</a>, the solution to the Cahn-Hilliard equations depends only on the dimensionless number</p> <p>\begin{equation} \alpha=\frac{L_0^2}{3\epsilon^2}, \end{equation}</p> <p>also referred to as sharpness parameter, where \(L_0\) is a length scale of the problem. Here, we will assume that \(L_0\) is a measure of the computational domain size. Without loss of generality, \(L_0=R_2=1.0\) will be the outer radius of the quarter of annulus. The sharpness parameter \(\alpha\) usually takes values in the range \(10^3-10^4\). We will study the evolution of the phase-field variable for different values of \(\alpha\).</p> <h2 id="weak-form">Weak form</h2> <p>The strong form of our model defined by Eqns. \eqref{st1}–\eqref{st7} is now cast in weak form and discretized using the Galerkin approach. We will only work with free-flux boundary conditions. Thus, all boundary integrals will vanish in the weak form. Let us define the functional space \(\mathcal{V} \subset \mathcal{H}^1\), where \(\mathcal{H}^1\) is the Sobolev space of square-integrable functions with square-integrable first derivative in the domain \(\Omega\). To perform space discretization we introduce the finite-dimensional space \(\mathcal{V}^h\subset \mathcal{V}\), where \(\mathcal{V}^h ={\rm span}\left \{ N_A \right \}_{A=1,\dots,n_f}\) and \(n_f\) is the number of functions on the basis. The space of weighting functions will also be \(\mathcal{V}^h\), giving rise to a Galerkin formulation. We define discrete approximations to the problem’s solution denoted by \(\phi^h\) and \(\mu^h\). Their corresponding weighting functions are \(w_{\phi}^h\) and \(w_{\mu}^h\). Then, the variational formulation of Eqns. \eqref{st1}–\eqref{st7} over the finite-dimensional space \(\mathcal{V}^h\) can be stated as follows: find \(\phi^h\), \(\mu^h\) \(\in \mathcal{V}^h\subset \mathcal{V}\) such that \(\forall\) \(w_{\phi}^h\), \(w_{\mu}^h\) \(\in \mathcal{V}^h \subset \mathcal{V}\)</p> <p>\begin{equation} \int_{\Omega}w_{\phi}^h\frac{\partial\phi}{\partial t}d\Omega +\int_{\Omega}m\nabla w_{\phi}^h \cdot \nabla \mu^h d\Omega =0, \label{wf1} \end{equation} \begin{equation} \int_{\Omega}w_{\mu}^h \mu^h d\Omega - \int_{\Omega}w_{\mu}^h \phi^h \left( \left(\phi^h \right)^2-1 \right)d\Omega- \int_{\Omega} \epsilon^2 \nabla \phi^h \cdot \nabla w_{\mu}^h d\Omega= 0. \end{equation}</p> <p>The solutions \(\phi^h\) and \(\mu^h\) are defined as \begin{equation} \phi^h(\mathbf{x},t)=\sum_{A=1}^{n_f}\phi_A\left ( t \right )N_A\left ( \mathbf{x} \right ), \end{equation} \begin{equation} \mu^h(\mathbf{x},t)=\sum_{A=1}^{n_f}\mu_A\left ( t \right )N_A\left ( \mathbf{x} \right ). \end{equation}</p> <h2 id="results">Results</h2> <p>We consider the split form of the Cahn-Hilliard equation on an open quarter-annulus domain \begin{equation} \Omega = { (x,y) \in \mathbb{R}^2 : x &gt; 0, y &gt; 0, R_1^2 &lt; x^2 + y^2 &lt; R_2^2 }, \end{equation} with inner radius \(R_1=0.5\) and outer radius \(R_2=1\). We employ a computational mesh comprised of \(128^2\) \(\mathcal{C}^1\)-quadratic elements; see the figure below.</p> <div class="container"> <div class="row justify-content-center mt-3"> <div class="col mt-3 mt-md-0 d-flex justify-content-center"> <div style="width: 50%;"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/mesh-480.webp 480w,/assets/img/mesh-800.webp 800w,/assets/img/mesh-1400.webp 1400w," sizes="95vw" type="image/webp"></source> <img src="/assets/img/mesh.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> </div> </div> </div> <div class="caption text-center"> Geometry definition and mesh used for the calculations. The circular inset shows a detail of the mesh. </div> </div> <p>The usual setup for numerical simulations of the Cahn-Hilliard equation is as follows: a randomly perturbed homogeneous solution is allowed to evolve in a sufficiently large computational domain with periodic boundary conditions. Periodic boundary conditions would make no sense in our case, since we are not considering a square domain. Instead, we prescribe free-flux boundary conditions on the entire domain for \(\phi\) and \(\mu\). The initial condition is given by \begin{equation} \phi_0\left(\mathbf{x}\right)=\bar{\phi}+r, \end{equation} where \(\bar{\phi}\) is a constant (referred to as the volume fraction) and \(r\) is a random variable with uniform distribution in \([-0.05,0.05]\).</p> <p>With this numerical setup we present two test cases which are defined by the sharpness parameter \(\alpha\) and the volume fraction \(\bar{\phi}\). We take \(\alpha=1500\), \(\bar{\phi}=0.3\) for the first case, and \(\alpha=3000\), \(\bar{\phi}=0.1\) for the second case.</p> <p>The left figure below shows snapshots of the solution at different times for \(\alpha=1500\) and \(\bar{\phi}=0.3\). We observe two main processes that take place at very different time scales: phase separation and coarsening. The Cahn-Hilliard equation is unstable under random perturbations within the spinodal region, and, thus, two phases will develop. Phase separation takes place at \(t\approx 0.01\) s. The concentration is driven to the binodal points in a very fast process. After the phase separation, the coarsening process starts. During the coarsening process, bubbles merge with each other to reduce the surface energy, acquiring a circular shape. This process finishes when there are only two regions occupied by the two components of the mixture and they achieve the equilibrium topology. This is occurs at the steady state (data not shown).</p> <blockquote> <p>Note: Spinodal decomposition occurs when one thermodynamic phase spontaneusly (i.e., without nucleation) separates into two phases. The spinodal region is the region of the phase diagram where this occurs.</p> </blockquote> <p>The right figure below shows snapshots of the solution at different times for \(\alpha=1500\) and \(\bar{\phi}=0.3\). This test case is more challenging than the previous one, since the parameter \(\alpha\) is larger, and, thus, the interfaces are thinner. The parameter \(\alpha\) not only affects the thickness of the interface but also modifies the time scale of the problem. The separation process is faster for \(\alpha=3000\) than for \(\alpha=1500\). Phase separation in this case takes place at the beginning of the simulation. On the other hand, the coarsening process is slower. The bubbles start acquiring the equilibrium topology, that is, a circular shape, later in time compared to the previous example. The initial volume fraction \(\bar{\phi}\) plays an important role in the topology of the solution. The topology of the solution for \(\bar{\phi}=0.1\) shows a more connected pattern than that of the solution for \(\bar{\phi}=0.3\). In contrast to the case defined by \(\bar{\phi}=0.3\), for \(\bar{\phi}=0.1\) there is no nucleation, and the coarsening process is more continuous over the simulation.</p> <div class="row mt-3"> <div class="col-sm mt-3 mt-md-0"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/fig2_ch-480.webp 480w,/assets/img/fig2_ch-800.webp 800w,/assets/img/fig2_ch-1400.webp 1400w," sizes="95vw" type="image/webp"></source> <img src="/assets/img/fig2_ch.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> </div> <div class="col-sm mt-3 mt-md-0"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/fig3_ch-480.webp 480w,/assets/img/fig3_ch-800.webp 800w,/assets/img/fig3_ch-1400.webp 1400w," sizes="95vw" type="image/webp"></source> <img src="/assets/img/fig3_ch.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> </div> </div> <div class="caption"> Evolution of the phase-field from a randomly perturbed initial condition. Left and right show the snapshots over time for different initial conditions. </div> <h2 id="conclusions">Conclusions</h2> <p>We presented a numerical methodology to solve the Cahn-Hilliard equation on a quarter-annulus domain. Our computational method is based on isogeometric analysis, which allows us to generate the \(\mathcal{C}^1\)-continuous functions required to solve this equation in a variational framework. We adopt the split form of the equation to reduce its order, and facilitate the imposition of the boundary conditions on the circular geometry. Time discretazion is performed using the generalized \(\alpha\)-methods, which provides second order accuracy and \(A\)-stability. We analyzed the solution over time for different values of \(\alpha\) and \(\bar{\phi}\). The parameter \(\alpha\) affects the thickness of the interface and the time scale of the problem. As we increased \(\alpha\), the separation process was faster, and the thickness of the interface became thinner. The initial volume fraction \(\bar{\phi}\) modifies the topology of the solution. Smaller values of \(\bar{\phi}\) produce more continuous patterns without nucleation.</p> <h2 id="references">References</h2> <ol class="bibliography"> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Cahn-Hilliard" class="col-sm-8"> <div class="title"><a href="">Free Energy of a Nonuniform System. I. Interfacial Free Energy</a></div> <div class="author"> John W. Cahn, and John E. Hilliard </div> <div class="periodical"> <em>The Journal of Chemical Physics</em>, 1958 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Cahn-Hilliard2" class="col-sm-8"> <div class="title"><a href="https://doi.org/10.1063/1.1730145%0A%20%20%20%20%0A" rel="external nofollow noopener" target="_blank">Free Energy of a Nonuniform System. II. Thermodynamic Basis</a></div> <div class="author"> John W. Cahn </div> <div class="periodical"> <em>The Journal of Chemical Physics</em>, 1959 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="MARALDI201231" class="col-sm-8"> <div class="title"><a href="http://www.sciencedirect.com/science/article/pii/S0020722511001832" rel="external nofollow noopener" target="_blank">A unified thermodynamic framework for the modelling of diffusive and displacive phase transitions</a></div> <div class="author"> M. Maraldi, L. Molari, and D. Grandi </div> <div class="periodical"> <em>International Journal of Engineering Science</em>, 2012 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Choksi" class="col-sm-8"> <div class="title"><a href="https://doi.org/10.1137/080728809%0A%20%20%20%20%0A" rel="external nofollow noopener" target="_blank">On the Phase Diagram for Microphase Separation of Diblock Copolymers: An Approach via a Nonlocal Cahn–Hilliard Functional</a></div> <div class="author"> Rustum Choksi, Mark A. Peletier, and J. F. Williams </div> <div class="periodical"> <em>SIAM Journal on Applied Mathematics</em>, 2009 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="tumor" class="col-sm-8"> <div class="title"><a href="https://doi.org/10.1142/S0218202515500268%0A%20%20%20%20%0A" rel="external nofollow noopener" target="_blank">Formal asymptotic limit of a diffuse-interface tumor-growth model</a></div> <div class="author"> Danielle Hilhorst, Johannes Kampmann, Thanh Nam Nguyen, and Kristoffer George Van Der Zee </div> <div class="periodical"> <em>Mathematical Models and Methods in Applied Sciences</em>, 2015 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="BADALASSI2003371" class="col-sm-8"> <div class="title"><a href="http://www.sciencedirect.com/science/article/pii/S0021999103002808" rel="external nofollow noopener" target="_blank">Computation of multiphase systems with phase field models</a></div> <div class="author"> V.E. Badalassi, H.D. Ceniceros, and S. Banerjee </div> <div class="periodical"> <em>Journal of Computational Physics</em>, 2003 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Anderson" class="col-sm-8"> <div class="title"><a href="https://doi.org/10.1146/annurev.fluid.30.1.139%0A%20%20%20%20%0A" rel="external nofollow noopener" target="_blank">DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS</a></div> <div class="author"> D. M. Anderson, G. B. McFadden, and A. A. Wheeler </div> <div class="periodical"> <em>Annual Review of Fluid Mechanics</em>, 1998 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Elliott1989ASO" class="col-sm-8"> <div class="title"><a href="">A second order splitting method for the Cahn-Hilliard equation</a></div> <div class="author"> C. M. Elliott, D. French, and F. Milner </div> <div class="periodical"> <em>Numerische Mathematik</em>, 1989 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Zee" class="col-sm-8"> <div class="title"><a href="https://onlinelibrary.wiley.com/doi/abs/10.1002/num.20638" rel="external nofollow noopener" target="_blank">Goal-oriented error estimation for Cahn–Hilliard models of binary phase transition</a></div> <div class="author"> Kristoffer G. Zee, J. Tinsley Oden, Serge Prudhomme, and Andrea Hawkins-Daarud </div> <div class="periodical"> <em>Numerical Methods for Partial Differential Equations</em>, 2011 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="GOMEZ20084333" class="col-sm-8"> <div class="title"><a href="">Isogeometric analysis of the Cahn–Hilliard phase-field model</a></div> <div class="author"> Hector Gomez, Victor M. Calo, Yuri Bazilevs, and Thomas J.R. Hughes </div> <div class="periodical"> <em>Computer Methods in Applied Mechanics and Engineering</em>, 2008 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="GOMEZ20101828" class="col-sm-8"> <div class="title"><a href="">Isogeometric analysis of the isothermal Navier–Stokes–Korteweg equations</a></div> <div class="author"> Hector Gomez, Thomas J.R. Hughes, Xesús Nogueira, and Victor M. Calo </div> <div class="periodical"> <em>Computer Methods in Applied Mechanics and Engineering</em>, 2010 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="GOMEZ201252" class="col-sm-8"> <div class="title"><a href="">An unconditionally energy-stable method for the phase field crystal equation</a></div> <div class="author"> Hector Gomez, and Xesús Nogueira </div> <div class="periodical"> <em>Computer Methods in Applied Mechanics and Engineering</em>, 2012 </div> <div class="periodical"> Higher Order Finite Element and Isogeometric Methods </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Gomez2" class="col-sm-8"> <div class="title"><a href="">Computational Phase-Field Modeling</a></div> <div class="author"> Hector Gomez, and Kristoffer G. Zee </div> <div class="periodical"> 2017 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> </ol> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Solving the Cahn-Hilliard equation on complex geometries | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,"> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/2024/CahnHilliard/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Solving the Cahn-Hilliard equation on complex geometries</h1> <p class="post-meta"> Created in June 19, 2024 </p> <p class="post-tags"> <a href="/blog/2024"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </a>   ·   <a href="/blog/tag/cahn-hilliard"> <i class="fa-solid fa-hashtag fa-sm"></i> Cahn-Hilliard</a>   <a href="/blog/tag/pdes"> <i class="fa-solid fa-hashtag fa-sm"></i> PDEs</a>   <a href="/blog/tag/iga"> <i class="fa-solid fa-hashtag fa-sm"></i> IGA</a>   ·   <a href="/blog/category/projects"> <i class="fa-solid fa-tag fa-sm"></i> Projects</a> </p> </header> <article class="post-content"> <div id="markdown-content"> <h2 id="the-cahn-hilliard-equation">The Cahn-Hilliard equation</h2> <p>The Cahn–Hilliard equation describes the process of phase separation, by which the two components of a binary fluid spontaneously separate and form domains pure in each component. It was originally proposed in 1958 to model phase separation in binary alloys <a class="citation" href="#Cahn-Hilliard">(Cahn &amp; Hilliard, 1958; Cahn, 1959)</a>. Since then it has been used to describe various phenomena, such as spinodal decomposition <a class="citation" href="#MARALDI201231">(Maraldi et al., 2012)</a>, diblock copolymer <a class="citation" href="#Choksi">(Choksi et al., 2009)</a>, image inpainting, tumor growth simulation <a class="citation" href="#tumor">(Hilhorst et al., 2015)</a> or multiphase fluid flows <a class="citation" href="#BADALASSI2003371">(Badalassi et al., 2003)</a>.</p> <div class="container"> <div class="row justify-content-center mt-3"> <div class="col mt-3 mt-md-0 d-flex justify-content-center"> <div style="width: 90%;"> <figure> <video src="/assets/video/ch.mp4" class="img-fluid rounded z-depth-1" width="auto" height="auto" autoplay="" controls=""></video> </figure> </div> </div> </div> <div class="caption text-center"> Solution of the Cahn-Hilliard equation on a quarter of anulus from a randomly perturbed initial condition. </div> </div> <p>There are two main approaches to describing phase transition phenomena: sharp-interface models and phase-field models. Sharp-interface models involve the resolution of a moving boundary problem, meaning that partial differential equations have to be solved for each phase. This can lead to physical <a class="citation" href="#Anderson">(Anderson et al., 1998)</a> and computational complications (missing reference), such as jump discontinuities across the interface. Phase-field models replace sharp-interfaces by thin transitions regions where the interfacial forces are smoothly distributed (diffuse interfaces). For this reason, phase-field models are also referred to as \emph{diffuse interface} models, and they are emerging as a promising tool to treat problems with interfaces.</p> <p>From the mathematical point of view, the Cahn-Hilliard equation is a stiff, fourth-order, nonlinear parabolic partial differential equation. The elementary form of the Cahn-Hilliard equation is given by</p> <p>\begin{equation} \frac{\partial \phi}{\partial t}=\nabla \cdot \left(m\left(\phi\right) \nabla \left(W’\left(\phi\right) -\epsilon ^2 \Delta \phi \right) \right) \label{element} \end{equation}</p> <p>where \(\phi\left(\mathbf{x},t\right) \in [-1,1]\) represents the phase-field variable, which describes the location of different components (e.g., \(\phi=-1\) in oil and \(\phi=1\) in water), \(m\left(\phi\right)\) is the mobility, \(W\left(\phi\right)\) is the so-called double-well potential, and \(\epsilon\) is a length scale related to the thickness of the diffuse interface.</p> <p>Two different approaches have been used to solve the Cahn-Hilliard equation: solving the original form given by Eqn.\eqref{element}, which involves fourth-order operators, or by splitting it into two second order partial differential equations by introducing an auxiliary variable — the chemical potential \(\mu\). The split version of the equation is given by</p> <p>\begin{equation} \frac{\partial \phi}{\partial t}=\nabla \cdot \left(m\left(\phi\right) \nabla \mu \right) \label{split1} \end{equation} \begin{equation} \mu=W’\left(\phi \right) - \epsilon^2 \Delta \phi. \label{chempot} \end{equation}</p> <p>The splitting strategy was proposed by Elliot <a class="citation" href="#Elliott1989ASO">(Elliott et al., 1989)</a> to avoid constraints related to the continuity of the basis functions when using the finite element method with a primal formulation. It also facilitates the imposition of the boundary conditions on a circular geometry, which is the case we are interested in. Unfortunately, this comes at a price of an additional degree of freedom introduced into the solver. Nevertheless, this reformulation reduces the complexity of the problem from the numerical point of view (see <a class="citation" href="#Zee">(van der Zee et al., 2011)</a>).</p> <p>The spatial discretization of the governing equations is performed using isogeometric analysis (IGA). IGA is a generalization of the finite-element method that uses non-uniform rational B-splines (NURBS) to define the discrete spaces. A significant advantage of IGA with respect to finite element analysis is that the basis functions can be constructed with controllable continuity across the element boundaries, even on mapped geometries. The higher-order global continuity of the basis functions has been shown to produce higher accuracy than classical \(\mathcal{C}^0\)-continuous finite elements for the same number of degrees of freedom; and has been widely used to solve partial differential equations with high-order spatial derivatives <a class="citation" href="#GOMEZ20084333">(Gomez et al., 2008; Gomez et al., 2010; Gomez &amp; Nogueira, 2012)</a>. Here, we will use \(\mathcal{C}^1\)-continuous quadratic splines for \(\phi\) and \(\mu\).</p> <h2 id="strong-form">Strong form</h2> <p>The strong form of the problem is formulated as follows: find \(\phi:\Omega \times \left[0,T\right]\rightarrow \mathbb{R}\) and \(\mu:\Omega \times \left[0,T\right]\rightarrow \mathbb{R}\) (being \(\mu\) an auxiliary variable) such that:</p> <p>\begin{equation} \frac{\partial \phi}{\partial t}=\nabla \cdot \left(m\left(\phi\right) \nabla \mu\right) \quad \text{in} \ \Omega \times \left[0,T\right], \label{st1} \end{equation} <br> \begin{equation} \mu=W’\left(\phi\right)-\epsilon^2 \Delta \phi \quad \text{in} \ \Omega \times \left[0,T\right], \label{st2} \end{equation} \begin{equation} \phi=g \quad \text{on} \ \Gamma_g \times \left[0,T\right], \label{st3} \end{equation} \begin{equation} <br> m\left(\phi\right)\epsilon^2\Delta\phi=q \quad \text{on} \ \Gamma_q \times \left[0,T\right], \label{st4} \end{equation} \begin{equation} \nabla\left(m\left(\phi\right)\mu\right)\cdot \mathbf{n}=s \quad \text{on} \ \Gamma_s \times \left[0,T\right], \label{st5} \end{equation} \begin{equation} \nabla\left(m\left(\phi\right)\phi\right)\cdot \mathbf{n}=h \quad \text{on} \ \Gamma_h \times \left[0,T\right], \label{st6}<br> \end{equation} \begin{equation} \phi\left(\mathbf{x},0\right)=\phi_0\left(\mathbf{x}\right) \quad \text{in} \ \Omega. \label{st7}<br> \end{equation}</p> <p>The double well function \(W\left(\phi\right)\) is defined such that it has two local minima, which makes possible the coexistence of the different phases. Some important examples of double well functions can be found in <a class="citation" href="#Gomez2">(Gomez &amp; van der Zee, 2017)</a>. In this work we will take the classical quartic potential</p> <p>\begin{equation} W\left(\phi\right)=\frac{1}{4}\left(1-\phi^2\right)^2, \end{equation}</p> <p>which is a qualitative approximation of the logarithmic double well.</p> <p>The mobility \(m\left(\phi\right)\), which can be linked with the diffusivity, controls the time scale of the problem. The most common approach is to set it as a constant, \(m\left(\phi\right)=m\). Such an approach is extensively applied in both analytical and numerical studies. We will take \(m\) constant and equal to one as recommended in <a class="citation" href="#GOMEZ20084333">(Gomez et al., 2008)</a>.</p> <p>The parameter \(\epsilon\) is a positive constant that defines the length scale for the problem. According to <a class="citation" href="#GOMEZ20084333">(Gomez et al., 2008)</a>, the solution to the Cahn-Hilliard equations depends only on the dimensionless number</p> <p>\begin{equation} \alpha=\frac{L_0^2}{3\epsilon^2}, \end{equation}</p> <p>also referred to as sharpness parameter, where \(L_0\) is a length scale of the problem. Here, we will assume that \(L_0\) is a measure of the computational domain size. Without loss of generality, \(L_0=R_2=1.0\) will be the outer radius of the quarter of annulus. The sharpness parameter \(\alpha\) usually takes values in the range \(10^3-10^4\). We will study the evolution of the phase-field variable for different values of \(\alpha\).</p> <h2 id="weak-form">Weak form</h2> <p>The strong form of our model defined by Eqns. \eqref{st1}–\eqref{st7} is now cast in weak form and discretized using the Galerkin approach. We will only work with free-flux boundary conditions. Thus, all boundary integrals will vanish in the weak form. Let us define the functional space \(\mathcal{V} \subset \mathcal{H}^1\), where \(\mathcal{H}^1\) is the Sobolev space of square-integrable functions with square-integrable first derivative in the domain \(\Omega\). To perform space discretization we introduce the finite-dimensional space \(\mathcal{V}^h\subset \mathcal{V}\), where \(\mathcal{V}^h ={\rm span}\left \{ N_A \right \}_{A=1,\dots,n_f}\) and \(n_f\) is the number of functions on the basis. The space of weighting functions will also be \(\mathcal{V}^h\), giving rise to a Galerkin formulation. We define discrete approximations to the problem’s solution denoted by \(\phi^h\) and \(\mu^h\). Their corresponding weighting functions are \(w_{\phi}^h\) and \(w_{\mu}^h\). Then, the variational formulation of Eqns. \eqref{st1}–\eqref{st7} over the finite-dimensional space \(\mathcal{V}^h\) can be stated as follows: find \(\phi^h\), \(\mu^h\) \(\in \mathcal{V}^h\subset \mathcal{V}\) such that \(\forall\) \(w_{\phi}^h\), \(w_{\mu}^h\) \(\in \mathcal{V}^h \subset \mathcal{V}\)</p> <p>\begin{equation} \int_{\Omega}w_{\phi}^h\frac{\partial\phi}{\partial t}d\Omega +\int_{\Omega}m\nabla w_{\phi}^h \cdot \nabla \mu^h d\Omega =0, \label{wf1} \end{equation} \begin{equation} \int_{\Omega}w_{\mu}^h \mu^h d\Omega - \int_{\Omega}w_{\mu}^h \phi^h \left( \left(\phi^h \right)^2-1 \right)d\Omega- \int_{\Omega} \epsilon^2 \nabla \phi^h \cdot \nabla w_{\mu}^h d\Omega= 0. \end{equation}</p> <p>The solutions \(\phi^h\) and \(\mu^h\) are defined as \begin{equation} \phi^h(\mathbf{x},t)=\sum_{A=1}^{n_f}\phi_A\left ( t \right )N_A\left ( \mathbf{x} \right ), \end{equation} \begin{equation} \mu^h(\mathbf{x},t)=\sum_{A=1}^{n_f}\mu_A\left ( t \right )N_A\left ( \mathbf{x} \right ). \end{equation}</p> <h2 id="results">Results</h2> <p>We consider the split form of the Cahn-Hilliard equation on an open quarter-annulus domain \begin{equation} \Omega = { (x,y) \in \mathbb{R}^2 : x &gt; 0, y &gt; 0, R_1^2 &lt; x^2 + y^2 &lt; R_2^2 }, \end{equation} with inner radius \(R_1=0.5\) and outer radius \(R_2=1\). We employ a computational mesh comprised of \(128^2\) \(\mathcal{C}^1\)-quadratic elements; see the figure below.</p> <div class="container"> <div class="row justify-content-center mt-3"> <div class="col mt-3 mt-md-0 d-flex justify-content-center"> <div style="width: 50%;"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/mesh-480.webp 480w,/assets/img/mesh-800.webp 800w,/assets/img/mesh-1400.webp 1400w," sizes="95vw" type="image/webp"></source> <img src="/assets/img/mesh.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> </div> </div> </div> <div class="caption text-center"> Geometry definition and mesh used for the calculations. The circular inset shows a detail of the mesh. </div> </div> <p>The usual setup for numerical simulations of the Cahn-Hilliard equation is as follows: a randomly perturbed homogeneous solution is allowed to evolve in a sufficiently large computational domain with periodic boundary conditions. Periodic boundary conditions would make no sense in our case, since we are not considering a square domain. Instead, we prescribe free-flux boundary conditions on the entire domain for \(\phi\) and \(\mu\). The initial condition is given by \begin{equation} \phi_0\left(\mathbf{x}\right)=\bar{\phi}+r, \end{equation} where \(\bar{\phi}\) is a constant (referred to as the volume fraction) and \(r\) is a random variable with uniform distribution in \([-0.05,0.05]\).</p> <p>With this numerical setup we present two test cases which are defined by the sharpness parameter \(\alpha\) and the volume fraction \(\bar{\phi}\). We take \(\alpha=1500\), \(\bar{\phi}=0.3\) for the first case, and \(\alpha=3000\), \(\bar{\phi}=0.1\) for the second case.</p> <p>The left figure below shows snapshots of the solution at different times for \(\alpha=1500\) and \(\bar{\phi}=0.3\). We observe two main processes that take place at very different time scales: phase separation and coarsening. The Cahn-Hilliard equation is unstable under random perturbations within the spinodal region, and, thus, two phases will develop. Phase separation takes place at \(t\approx 0.01\) s. The concentration is driven to the binodal points in a very fast process. After the phase separation, the coarsening process starts. During the coarsening process, bubbles merge with each other to reduce the surface energy, acquiring a circular shape. This process finishes when there are only two regions occupied by the two components of the mixture and they achieve the equilibrium topology. This is occurs at the steady state (data not shown).</p> <blockquote> <p>Note: Spinodal decomposition occurs when one thermodynamic phase spontaneusly (i.e., without nucleation) separates into two phases. The spinodal region is the region of the phase diagram where this occurs.</p> </blockquote> <p>The right figure below shows snapshots of the solution at different times for \(\alpha=1500\) and \(\bar{\phi}=0.3\). This test case is more challenging than the previous one, since the parameter \(\alpha\) is larger, and, thus, the interfaces are thinner. The parameter \(\alpha\) not only affects the thickness of the interface but also modifies the time scale of the problem. The separation process is faster for \(\alpha=3000\) than for \(\alpha=1500\). Phase separation in this case takes place at the beginning of the simulation. On the other hand, the coarsening process is slower. The bubbles start acquiring the equilibrium topology, that is, a circular shape, later in time compared to the previous example. The initial volume fraction \(\bar{\phi}\) plays an important role in the topology of the solution. The topology of the solution for \(\bar{\phi}=0.1\) shows a more connected pattern than that of the solution for \(\bar{\phi}=0.3\). In contrast to the case defined by \(\bar{\phi}=0.3\), for \(\bar{\phi}=0.1\) there is no nucleation, and the coarsening process is more continuous over the simulation.</p> <div class="row mt-3"> <div class="col-sm mt-3 mt-md-0"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/fig2_ch-480.webp 480w,/assets/img/fig2_ch-800.webp 800w,/assets/img/fig2_ch-1400.webp 1400w," sizes="95vw" type="image/webp"></source> <img src="/assets/img/fig2_ch.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> </div> <div class="col-sm mt-3 mt-md-0"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/fig3_ch-480.webp 480w,/assets/img/fig3_ch-800.webp 800w,/assets/img/fig3_ch-1400.webp 1400w," sizes="95vw" type="image/webp"></source> <img src="/assets/img/fig3_ch.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> </div> </div> <div class="caption"> Evolution of the phase-field from a randomly perturbed initial condition. Left and right show the snapshots over time for different initial conditions. </div> <h2 id="conclusions">Conclusions</h2> <p>We presented a numerical methodology to solve the Cahn-Hilliard equation on a quarter-annulus domain. Our computational method is based on isogeometric analysis, which allows us to generate the \(\mathcal{C}^1\)-continuous functions required to solve this equation in a variational framework. We adopt the split form of the equation to reduce its order, and facilitate the imposition of the boundary conditions on the circular geometry. Time discretazion is performed using the generalized \(\alpha\)-methods, which provides second order accuracy and \(A\)-stability. We analyzed the solution over time for different values of \(\alpha\) and \(\bar{\phi}\). The parameter \(\alpha\) affects the thickness of the interface and the time scale of the problem. As we increased \(\alpha\), the separation process was faster, and the thickness of the interface became thinner. The initial volume fraction \(\bar{\phi}\) modifies the topology of the solution. Smaller values of \(\bar{\phi}\) produce more continuous patterns without nucleation.</p> <h2 id="references">References</h2> <ol class="bibliography"> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Cahn-Hilliard" class="col-sm-8"> <div class="title"><a href="">Free Energy of a Nonuniform System. I. Interfacial Free Energy</a></div> <div class="author"> John W. Cahn, and John E. Hilliard </div> <div class="periodical"> <em>The Journal of Chemical Physics</em>, 1958 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Cahn-Hilliard2" class="col-sm-8"> <div class="title"><a href="https://doi.org/10.1063/1.1730145%0A%20%20%20%20%0A" rel="external nofollow noopener" target="_blank">Free Energy of a Nonuniform System. II. Thermodynamic Basis</a></div> <div class="author"> John W. Cahn </div> <div class="periodical"> <em>The Journal of Chemical Physics</em>, 1959 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="MARALDI201231" class="col-sm-8"> <div class="title"><a href="http://www.sciencedirect.com/science/article/pii/S0020722511001832" rel="external nofollow noopener" target="_blank">A unified thermodynamic framework for the modelling of diffusive and displacive phase transitions</a></div> <div class="author"> M. Maraldi, L. Molari, and D. Grandi </div> <div class="periodical"> <em>International Journal of Engineering Science</em>, 2012 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Choksi" class="col-sm-8"> <div class="title"><a href="https://doi.org/10.1137/080728809%0A%20%20%20%20%0A" rel="external nofollow noopener" target="_blank">On the Phase Diagram for Microphase Separation of Diblock Copolymers: An Approach via a Nonlocal Cahn–Hilliard Functional</a></div> <div class="author"> Rustum Choksi, Mark A. Peletier, and J. F. Williams </div> <div class="periodical"> <em>SIAM Journal on Applied Mathematics</em>, 2009 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="tumor" class="col-sm-8"> <div class="title"><a href="https://doi.org/10.1142/S0218202515500268%0A%20%20%20%20%0A" rel="external nofollow noopener" target="_blank">Formal asymptotic limit of a diffuse-interface tumor-growth model</a></div> <div class="author"> Danielle Hilhorst, Johannes Kampmann, Thanh Nam Nguyen, and Kristoffer George Van Der Zee </div> <div class="periodical"> <em>Mathematical Models and Methods in Applied Sciences</em>, 2015 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="BADALASSI2003371" class="col-sm-8"> <div class="title"><a href="http://www.sciencedirect.com/science/article/pii/S0021999103002808" rel="external nofollow noopener" target="_blank">Computation of multiphase systems with phase field models</a></div> <div class="author"> V.E. Badalassi, H.D. Ceniceros, and S. Banerjee </div> <div class="periodical"> <em>Journal of Computational Physics</em>, 2003 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Anderson" class="col-sm-8"> <div class="title"><a href="https://doi.org/10.1146/annurev.fluid.30.1.139%0A%20%20%20%20%0A" rel="external nofollow noopener" target="_blank">DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS</a></div> <div class="author"> D. M. Anderson, G. B. McFadden, and A. A. Wheeler </div> <div class="periodical"> <em>Annual Review of Fluid Mechanics</em>, 1998 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Elliott1989ASO" class="col-sm-8"> <div class="title"><a href="">A second order splitting method for the Cahn-Hilliard equation</a></div> <div class="author"> C. M. Elliott, D. French, and F. Milner </div> <div class="periodical"> <em>Numerische Mathematik</em>, 1989 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Zee" class="col-sm-8"> <div class="title"><a href="https://onlinelibrary.wiley.com/doi/abs/10.1002/num.20638" rel="external nofollow noopener" target="_blank">Goal-oriented error estimation for Cahn–Hilliard models of binary phase transition</a></div> <div class="author"> Kristoffer G. Zee, J. Tinsley Oden, Serge Prudhomme, and Andrea Hawkins-Daarud </div> <div class="periodical"> <em>Numerical Methods for Partial Differential Equations</em>, 2011 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="GOMEZ20084333" class="col-sm-8"> <div class="title"><a href="">Isogeometric analysis of the Cahn–Hilliard phase-field model</a></div> <div class="author"> Hector Gomez, Victor M. Calo, Yuri Bazilevs, and Thomas J.R. Hughes </div> <div class="periodical"> <em>Computer Methods in Applied Mechanics and Engineering</em>, 2008 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="GOMEZ20101828" class="col-sm-8"> <div class="title"><a href="">Isogeometric analysis of the isothermal Navier–Stokes–Korteweg equations</a></div> <div class="author"> Hector Gomez, Thomas J.R. Hughes, Xesús Nogueira, and Victor M. Calo </div> <div class="periodical"> <em>Computer Methods in Applied Mechanics and Engineering</em>, 2010 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="GOMEZ201252" class="col-sm-8"> <div class="title"><a href="">An unconditionally energy-stable method for the phase field crystal equation</a></div> <div class="author"> Hector Gomez, and Xesús Nogueira </div> <div class="periodical"> <em>Computer Methods in Applied Mechanics and Engineering</em>, 2012 </div> <div class="periodical"> Higher Order Finite Element and Isogeometric Methods </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Gomez2" class="col-sm-8"> <div class="title"><a href="">Computational Phase-Field Modeling</a></div> <div class="author"> Hector Gomez, and Kristoffer G. Zee </div> <div class="periodical"> 2017 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> </ol> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/blog/2024/Solidification/index.html b/blog/2024/Solidification/index.html
index 7680ee1c..56efd0b1 100644
--- a/blog/2024/Solidification/index.html
+++ b/blog/2024/Solidification/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Phase-field Modeling of Dendritic Solidification | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis."> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/2024/Solidification/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Phase-field Modeling of Dendritic Solidification</h1> <p class="post-meta"> Created in June 20, 2024 </p> <p class="post-tags"> <a href="/blog/2024"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </a>   ·   <a href="/blog/tag/phase-field"> <i class="fa-solid fa-hashtag fa-sm"></i> Phase-field</a>   <a href="/blog/tag/pdes"> <i class="fa-solid fa-hashtag fa-sm"></i> PDEs</a>   <a href="/blog/tag/iga"> <i class="fa-solid fa-hashtag fa-sm"></i> IGA</a>   ·   <a href="/blog/category/projects"> <i class="fa-solid fa-tag fa-sm"></i> Projects</a> </p> </header> <article class="post-content"> <div id="markdown-content"> <h2 id="phase-field-equation-for-solidification-processes">Phase-field equation for solidification processes</h2> <p>Liquid-solid phase transformations usually refer to solidification and melting. The formation of complex microstructures during the solidification from a liquid phase, such as formation of snow flakes or metallic alloys, and the accompanying diffusion and convection processes in the liquid and solid have been widely studied in the literature <a class="citation" href="#boettinger2002phase">(Boettinger et al., 2002; Flemings, 1974; Kühn et al., 1986)</a>. In particular, the evolution of microstructural scale of dendrites during the solidification process determines many physical and mechanical properties of metals, since almost every metallic system originates from the liquid state.</p> <div class="container"> <div class="row justify-content-center mt-3"> <div class="col mt-3 mt-md-0 d-flex justify-content-center"> <div style="width: 90%;"> <figure> <video src="/assets/video/solidification.mp4" class="img-fluid rounded z-depth-1" width="auto" height="auto" autoplay="" controls=""></video> </figure> </div> </div> </div> <div class="caption text-center"> Crystal growth from a square-shaped seed located in an undercooled region. Phase-field (top row). Temperature (bottom row) </div> </div> <p>A phase-field formulation that describes the solidification process is as follows: \begin{equation} \frac{\partial \phi}{\partial t} = \Delta \phi - \frac{W’(\phi)}{\epsilon^2} + \frac{\rho H}{\sqrt{2\sigma}} \frac{\theta - \theta_m}{\theta_m} G’(\phi) \label{1} \end{equation} \begin{equation} \rho C_v \frac{\partial \theta}{\partial t} + L \phi’ \frac{\partial \phi}{\partial t} = \nabla \cdot (k(\phi) \nabla \theta) \label{2} \end{equation}</p> <p>where \(\phi \in [-1,1]\) represents the phase-field variable, which describes the location of different components (e.g., \(\phi = -1\) in the solid and \(\phi = 1\) in the liquid), \(\theta\) is the temperature, \(\theta_m\) is the melting temperature, \(H\) represents the interfacial enthalpy per unit mass, \(\omega\) is the kinetic undercooling coefficient, \(C_v\) is the heat capacity per unit mass, \(\rho\) is the density, \(l\) is specific latent heat (energy per unit mass), \(k\) is the thermal conductivity, \(\sigma\) is the surface tension and \(h\) is an interpolatory function that verifies \(h(+1) = 1, h(-1) = 0\), e.g., \(h = \frac{1}{2} (1 + \phi)\). The thermal conductivity is considered to be a function of the phase-field to account for different conductivity in the solid and liquid phases. We take \(k(\phi) = (1 + \phi) k_s + (1 - \phi) k_l\), which satisfies that \(k(+1) = k_s\), \(k(-1) = k_l\). The function \(W(\phi)\), also referred to as the double-well potential, is defined such that it has two local minima, which makes possible the coexistence of the different phases. Some important examples of double well functions can be found in <a class="citation" href="#gomez2017computational">(Gomez &amp; van der Zee, 2017)</a>. In this work we will take the classical quartic potential \(W(\phi) = \frac{1}{4} (1 - \phi^2)^2\). The function \(G(\phi)\) vanishes in the pure phases. Depending on the form of the functional \(G(\phi)\), the phase-field will converge faster or slower to the generalized Stefan problem. Here we will use the expression \(G(\phi) = (1 - \phi^2)^2\). One key aspect to achieve good agreement with the reality of interest behind dendritic solidification is surface tension anisotropy. Herein, we introduce anisotropy by assuming that \(\sigma\) depends on the unit normal to the liquid-solid interface, this is,</p> <p>\begin{equation} \sigma = \sigma_0(1 + \delta \cos(\alpha - \alpha_0)), \end{equation}</p> <p>where \(\bar{\sigma}\) is the mean value of \(\sigma\), \(\delta\) is the strenght of the anisotropy, \(q\) is the mode number of anisotropy, and \(\alpha\) is the initial offset angle. The angle of the normal to the surface, \(\alpha\), is defined from the phase-field as</p> <p>\begin{equation} \alpha = \arctan\left(\frac{\partial \phi / \partial y}{\partial \phi/ \partial x}\right). \end{equation}</p> <h2 id="weak-form">Weak form</h2> <p>The strong form of our model defined by Eqs. \eqref{1} and Eqn.\eqref{2} is now cast in weak form and discretized using the Galerkin approach. Let us define the functional space \(V \subset H^1\), where \(H^1\) is the Sobolev space of square-integrable functions with square-integrable first derivative in the domain \(\Omega\). To perform space discretization we introduce the finite-dimensional space \(V_h \subset V\), where \(V_h = \text{span} \{ N_A \}_{A=1}^{n_f}\), and \(n_f\) is the number of functions on the basis. The space of weighting functions will also be \(V_h\), giving rise to a Galerkin formulation. We define discrete approximations to the problem’s solution denoted by \(\phi^h\) and \(\theta^h\). Their corresponding weighting functions are \(w_{\phi}^h\) and \(w_{\theta}^h\). Then, the variational formulation of Eqs. \eqref{1} and Eqn.\eqref{2} over the finite-dimensional space \(V_h\) can be stated as follows: find \(U_h = \{\phi^h, \theta^h\} \in V_h \subset V\)</p> <p>such that \(\forall W_h = \{w_{\phi}^h, w_{\theta}^h\} \in V_h \subset V\), \begin{equation} \int_{\Omega} w_{\phi}^h \frac{\partial \phi^h}{\partial t} \, d\Omega + \int_{\Omega} w_{\phi}^h \frac{W’(\phi^h)}{\epsilon^2} \, d\Omega + \int_{\Omega} \nabla w_{\phi}^h \cdot \nabla \phi^h \, d\Omega + \int_{\Omega} w_{\phi}^h \frac{\rho H}{\sqrt{2 \sigma}} \left( \frac{G’(\phi^h) (\theta^h - \theta_m)}{\theta_m} \right) \, d\Omega =0, \end{equation}</p> <p>\begin{equation} \int_{\Omega} w_{\theta}^h \rho C_v \frac{\partial \theta^h}{\partial t} \, d\Omega - \int_{\Omega} w_{\theta}^h L \phi’(\phi^h) \frac{\partial \phi^h}{\partial t} \, d\Omega + \int_{\Omega} \nabla w_{\theta}^h \cdot k(\phi^h) \nabla \theta^h \, d\Omega=0. \end{equation}</p> <p>The solutions \(\phi^h\) and \(\theta^h\) are defined as \begin{equation} \phi^h(x,t) = \sum_{A=1}^{n_f} \phi_A(t) N_A(x), \end{equation} \begin{equation} \theta^h(x,t) = \sum_{A=1}^{n_f} \theta_A(t) N_A(x). \end{equation}</p> <h2 id="results">Results</h2> <p>Our computational domain is the square \(\Omega= \left[0,0.1 \right] \times \left[0,0.1 \right]\), where the units are in cm. We employ a computational mesh comprised of $512^2$ \(\mathcal{C}^1\)-quadratic elements. We impose periodic boundary conditions for \(\phi\) and \(\theta\). We choose a suitable time step of \(\Delta t = 10e-6\) s to ensure good numerical stability, specially at the beginning of the simulation. As an initial condition, we set a square-shaped seed located at the center of the domain. The reason for using a square-shaped crystal, instead of one with a smoother shape like a circle, is because the corners of the square will accelerate the formation of dendritic structures. The temperatures inside and outside the seed are 1700 K and 1500 K, respectively. The parameters used in all the simulations are summarized in <a class="citation" href="#gomez2019review">(Gomez et al., 2019)</a>. These parameters correspond to an Nickel-Copper alloy. In the following simulations, we will show the relations between the anisotropy modes and the shapes of crystals.</p> <p>The Figures below show the evolution of the phase-field variable and the temperature field over time for different values of \(q\). For all simulations nucleation starts at the center of the domain, and it triggers the solidification process. The phase change is achieved by undercooling the liquid phase below its melting temperature.</p> <p>In the first computation, perfect isotropic growth is considered, i.e. \(\sigma=\bar{\sigma}\) throughout the entire simulation. For this case we obtain symmetric dendritic patterns similar to those formed during viscous fingering. Tip splitting is observed as the crystal grows, producing new branches with tips that mantain a circular shape. For the anisotropic case with \(q = 4\), we see features of both the isotropic case and the dendritic structure. The dendritic structure is present in the formation of the principal branches, which are four in this case due to the anisotropy mode chosen. The isotropic features are observed in the viscous finger-like structures that emanate from the principal branches. The overall look of the pattern is symmetric, even though we are considering surface tension anisotropy. When we increase the anisotropy mode number to \(q = 6\), we get a completely asymmetric pattern. We can observe six main branches and four secondary branches. For \(q = 8\) we get the typical snowflake-like pattern with a non-symmetric side branching. In general, dendrites whose preferred direction is inclined with respect to the thermal gradient grow faster in order to maintain their relative tip positions during the splitting. These tips of the inclined dendrites lie slightly behind those of well aligned dendrites. We can say that there is a growth competition among the different dendrites, which results in a natural selection of the grains that grow with a smaller angle with respect to the temperature</p> <div class="row mt-3"> <div class="col-sm mt-3 mt-md-0"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/sol_1-480.webp 480w,/assets/img/sol_1-800.webp 800w,/assets/img/sol_1-1400.webp 1400w," sizes="95vw" type="image/webp"></source> <img src="/assets/img/sol_1.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> </div> <div class="col-sm mt-3 mt-md-0"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/sol_2-480.webp 480w,/assets/img/sol_2-800.webp 800w,/assets/img/sol_2-1400.webp 1400w," sizes="95vw" type="image/webp"></source> <img src="/assets/img/sol_2.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> </div> </div> <div class="caption"> Crystal growth from a square-shaped seed located in an undercooled region. Here we show the time evolution of dendritic solidification for different mode numbers of anisotropy. Time evolution of the temperature field from the initial square-shaped seed for different mode numbers of anisotropy. </div> <h2 id="conclusions">Conclusions</h2> <p>We presented a numerical methodology to solve a phase-field model of dendritic solidification with surface tension anisotropy on a two-dimensional domain. Our computational method is based on isogeometric analysis, which allows us to generate the \(\mathcal{C}^1\)-continuous functions required to solve this equation in a variational framework. Time discretazion is performed using the generalized \(\alpha\)-method, which provides second order accuracy and \(A\)-stability. We analyzed the evolution of the phase-field variable and the temperature field over time for different anisotropy mode numbers. Our results show that symmetric dendritic finger patterns can form in the presence of anisotropy.</p> <h2 id="references">References</h2> <ol class="bibliography"> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="boettinger2002phase" class="col-sm-8"> <div class="title"><a href="https://doi.org/10.1146/annurev.matsci.32.101901.155803" rel="external nofollow noopener" target="_blank">Phase-field simulation of solidification</a></div> <div class="author"> W. J. Boettinger, J. A. Warren, C. Beckermann, and A. Karma </div> <div class="periodical"> <em>Annual Review of Materials Research</em>, 2002 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="flemings1974solidification" class="col-sm-8"> <div class="title"><a href="">Solidification processing</a></div> <div class="author"> M. C. Flemings </div> <div class="periodical"> <em>Metallurgical Transactions</em>, 1974 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="kuhn1986fundamentals" class="col-sm-8"> <div class="title"><a href="">Fundamentals of solidification</a></div> <div class="author"> G. Kühn, W. Kurz, and D. J. Fisher </div> <div class="periodical"> <em>Crystal Research and Technology</em>, 1986 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="gomez2017computational" class="col-sm-8"> <div class="title"><a href="">Computational Phase-Field Modeling</a></div> <div class="author"> H. Gomez, and K. G. Zee </div> <div class="periodical"> <em>In Encyclopedia of Computational Mechanics Second Edition</em> , 2017 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="gomez2019review" class="col-sm-8"> <div class="title"><a href="">A review on computational modelling of phase-transition problems</a></div> <div class="author"> H. Gomez, M. Bures, and A. Moure </div> <div class="periodical"> <em>Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences</em>, 2019 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> </ol> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Phase-field Modeling of Dendritic Solidification | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis."> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/2024/Solidification/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Phase-field Modeling of Dendritic Solidification</h1> <p class="post-meta"> Created in June 20, 2024 </p> <p class="post-tags"> <a href="/blog/2024"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </a>   ·   <a href="/blog/tag/phase-field"> <i class="fa-solid fa-hashtag fa-sm"></i> Phase-field</a>   <a href="/blog/tag/pdes"> <i class="fa-solid fa-hashtag fa-sm"></i> PDEs</a>   <a href="/blog/tag/iga"> <i class="fa-solid fa-hashtag fa-sm"></i> IGA</a>   ·   <a href="/blog/category/projects"> <i class="fa-solid fa-tag fa-sm"></i> Projects</a> </p> </header> <article class="post-content"> <div id="markdown-content"> <h2 id="phase-field-equation-for-solidification-processes">Phase-field equation for solidification processes</h2> <p>Liquid-solid phase transformations usually refer to solidification and melting. The formation of complex microstructures during the solidification from a liquid phase, such as formation of snow flakes or metallic alloys, and the accompanying diffusion and convection processes in the liquid and solid have been widely studied in the literature <a class="citation" href="#boettinger2002phase">(Boettinger et al., 2002; Flemings, 1974; Kühn et al., 1986)</a>. In particular, the evolution of microstructural scale of dendrites during the solidification process determines many physical and mechanical properties of metals, since almost every metallic system originates from the liquid state.</p> <div class="container"> <div class="row justify-content-center mt-3"> <div class="col mt-3 mt-md-0 d-flex justify-content-center"> <div style="width: 90%;"> <figure> <video src="/assets/video/solidification.mp4" class="img-fluid rounded z-depth-1" width="auto" height="auto" autoplay="" controls=""></video> </figure> </div> </div> </div> <div class="caption text-center"> Crystal growth from a square-shaped seed located in an undercooled region. Phase-field (top row). Temperature (bottom row) </div> </div> <p>A phase-field formulation that describes the solidification process is as follows: \begin{equation} \frac{\partial \phi}{\partial t} = \Delta \phi - \frac{W’(\phi)}{\epsilon^2} + \frac{\rho H}{\sqrt{2\sigma}} \frac{\theta - \theta_m}{\theta_m} G’(\phi) \label{1} \end{equation} \begin{equation} \rho C_v \frac{\partial \theta}{\partial t} + L \phi’ \frac{\partial \phi}{\partial t} = \nabla \cdot (k(\phi) \nabla \theta) \label{2} \end{equation}</p> <p>where \(\phi \in [-1,1]\) represents the phase-field variable, which describes the location of different components (e.g., \(\phi = -1\) in the solid and \(\phi = 1\) in the liquid), \(\theta\) is the temperature, \(\theta_m\) is the melting temperature, \(H\) represents the interfacial enthalpy per unit mass, \(\omega\) is the kinetic undercooling coefficient, \(C_v\) is the heat capacity per unit mass, \(\rho\) is the density, \(l\) is specific latent heat (energy per unit mass), \(k\) is the thermal conductivity, \(\sigma\) is the surface tension and \(h\) is an interpolatory function that verifies \(h(+1) = 1, h(-1) = 0\), e.g., \(h = \frac{1}{2} (1 + \phi)\). The thermal conductivity is considered to be a function of the phase-field to account for different conductivity in the solid and liquid phases. We take \(k(\phi) = (1 + \phi) k_s + (1 - \phi) k_l\), which satisfies that \(k(+1) = k_s\), \(k(-1) = k_l\). The function \(W(\phi)\), also referred to as the double-well potential, is defined such that it has two local minima, which makes possible the coexistence of the different phases. Some important examples of double well functions can be found in <a class="citation" href="#gomez2017computational">(Gomez &amp; van der Zee, 2017)</a>. In this work we will take the classical quartic potential \(W(\phi) = \frac{1}{4} (1 - \phi^2)^2\). The function \(G(\phi)\) vanishes in the pure phases. Depending on the form of the functional \(G(\phi)\), the phase-field will converge faster or slower to the generalized Stefan problem. Here we will use the expression \(G(\phi) = (1 - \phi^2)^2\). One key aspect to achieve good agreement with the reality of interest behind dendritic solidification is surface tension anisotropy. Herein, we introduce anisotropy by assuming that \(\sigma\) depends on the unit normal to the liquid-solid interface, this is,</p> <p>\begin{equation} \sigma = \sigma_0(1 + \delta \cos(\alpha - \alpha_0)), \end{equation}</p> <p>where \(\bar{\sigma}\) is the mean value of \(\sigma\), \(\delta\) is the strenght of the anisotropy, \(q\) is the mode number of anisotropy, and \(\alpha\) is the initial offset angle. The angle of the normal to the surface, \(\alpha\), is defined from the phase-field as</p> <p>\begin{equation} \alpha = \arctan\left(\frac{\partial \phi / \partial y}{\partial \phi/ \partial x}\right). \end{equation}</p> <h2 id="weak-form">Weak form</h2> <p>The strong form of our model defined by Eqs. \eqref{1} and Eqn.\eqref{2} is now cast in weak form and discretized using the Galerkin approach. Let us define the functional space \(V \subset H^1\), where \(H^1\) is the Sobolev space of square-integrable functions with square-integrable first derivative in the domain \(\Omega\). To perform space discretization we introduce the finite-dimensional space \(V_h \subset V\), where \(V_h = \text{span} \{ N_A \}_{A=1}^{n_f}\), and \(n_f\) is the number of functions on the basis. The space of weighting functions will also be \(V_h\), giving rise to a Galerkin formulation. We define discrete approximations to the problem’s solution denoted by \(\phi^h\) and \(\theta^h\). Their corresponding weighting functions are \(w_{\phi}^h\) and \(w_{\theta}^h\). Then, the variational formulation of Eqs. \eqref{1} and Eqn.\eqref{2} over the finite-dimensional space \(V_h\) can be stated as follows: find \(U_h = \{\phi^h, \theta^h\} \in V_h \subset V\)</p> <p>such that \(\forall W_h = \{w_{\phi}^h, w_{\theta}^h\} \in V_h \subset V\), \begin{equation} \int_{\Omega} w_{\phi}^h \frac{\partial \phi^h}{\partial t} \, d\Omega + \int_{\Omega} w_{\phi}^h \frac{W’(\phi^h)}{\epsilon^2} \, d\Omega + \int_{\Omega} \nabla w_{\phi}^h \cdot \nabla \phi^h \, d\Omega + \int_{\Omega} w_{\phi}^h \frac{\rho H}{\sqrt{2 \sigma}} \left( \frac{G’(\phi^h) (\theta^h - \theta_m)}{\theta_m} \right) \, d\Omega =0, \end{equation}</p> <p>\begin{equation} \int_{\Omega} w_{\theta}^h \rho C_v \frac{\partial \theta^h}{\partial t} \, d\Omega - \int_{\Omega} w_{\theta}^h L \phi’(\phi^h) \frac{\partial \phi^h}{\partial t} \, d\Omega + \int_{\Omega} \nabla w_{\theta}^h \cdot k(\phi^h) \nabla \theta^h \, d\Omega=0. \end{equation}</p> <p>The solutions \(\phi^h\) and \(\theta^h\) are defined as \begin{equation} \phi^h(x,t) = \sum_{A=1}^{n_f} \phi_A(t) N_A(x), \end{equation} \begin{equation} \theta^h(x,t) = \sum_{A=1}^{n_f} \theta_A(t) N_A(x). \end{equation}</p> <h2 id="results">Results</h2> <p>Our computational domain is the square \(\Omega= \left[0,0.1 \right] \times \left[0,0.1 \right]\), where the units are in cm. We employ a computational mesh comprised of $512^2$ \(\mathcal{C}^1\)-quadratic elements. We impose periodic boundary conditions for \(\phi\) and \(\theta\). We choose a suitable time step of \(\Delta t = 10e-6\) s to ensure good numerical stability, specially at the beginning of the simulation. As an initial condition, we set a square-shaped seed located at the center of the domain. The reason for using a square-shaped crystal, instead of one with a smoother shape like a circle, is because the corners of the square will accelerate the formation of dendritic structures. The temperatures inside and outside the seed are 1700 K and 1500 K, respectively. The parameters used in all the simulations are summarized in <a class="citation" href="#gomez2019review">(Gomez et al., 2019)</a>. These parameters correspond to an Nickel-Copper alloy. In the following simulations, we will show the relations between the anisotropy modes and the shapes of crystals.</p> <p>The Figures below show the evolution of the phase-field variable and the temperature field over time for different values of \(q\). For all simulations nucleation starts at the center of the domain, and it triggers the solidification process. The phase change is achieved by undercooling the liquid phase below its melting temperature.</p> <p>In the first computation, perfect isotropic growth is considered, i.e. \(\sigma=\bar{\sigma}\) throughout the entire simulation. For this case we obtain symmetric dendritic patterns similar to those formed during viscous fingering. Tip splitting is observed as the crystal grows, producing new branches with tips that mantain a circular shape. For the anisotropic case with \(q = 4\), we see features of both the isotropic case and the dendritic structure. The dendritic structure is present in the formation of the principal branches, which are four in this case due to the anisotropy mode chosen. The isotropic features are observed in the viscous finger-like structures that emanate from the principal branches. The overall look of the pattern is symmetric, even though we are considering surface tension anisotropy. When we increase the anisotropy mode number to \(q = 6\), we get a completely asymmetric pattern. We can observe six main branches and four secondary branches. For \(q = 8\) we get the typical snowflake-like pattern with a non-symmetric side branching. In general, dendrites whose preferred direction is inclined with respect to the thermal gradient grow faster in order to maintain their relative tip positions during the splitting. These tips of the inclined dendrites lie slightly behind those of well aligned dendrites. We can say that there is a growth competition among the different dendrites, which results in a natural selection of the grains that grow with a smaller angle with respect to the temperature</p> <div class="row mt-3"> <div class="col-sm mt-3 mt-md-0"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/sol_1-480.webp 480w,/assets/img/sol_1-800.webp 800w,/assets/img/sol_1-1400.webp 1400w," sizes="95vw" type="image/webp"></source> <img src="/assets/img/sol_1.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> </div> <div class="col-sm mt-3 mt-md-0"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/sol_2-480.webp 480w,/assets/img/sol_2-800.webp 800w,/assets/img/sol_2-1400.webp 1400w," sizes="95vw" type="image/webp"></source> <img src="/assets/img/sol_2.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> </div> </div> <div class="caption"> Crystal growth from a square-shaped seed located in an undercooled region. Here we show the time evolution of dendritic solidification for different mode numbers of anisotropy. Time evolution of the temperature field from the initial square-shaped seed for different mode numbers of anisotropy. </div> <h2 id="conclusions">Conclusions</h2> <p>We presented a numerical methodology to solve a phase-field model of dendritic solidification with surface tension anisotropy on a two-dimensional domain. Our computational method is based on isogeometric analysis, which allows us to generate the \(\mathcal{C}^1\)-continuous functions required to solve this equation in a variational framework. Time discretazion is performed using the generalized \(\alpha\)-method, which provides second order accuracy and \(A\)-stability. We analyzed the evolution of the phase-field variable and the temperature field over time for different anisotropy mode numbers. Our results show that symmetric dendritic finger patterns can form in the presence of anisotropy.</p> <h2 id="references">References</h2> <ol class="bibliography"> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="boettinger2002phase" class="col-sm-8"> <div class="title"><a href="https://doi.org/10.1146/annurev.matsci.32.101901.155803" rel="external nofollow noopener" target="_blank">Phase-field simulation of solidification</a></div> <div class="author"> W. J. Boettinger, J. A. Warren, C. Beckermann, and A. Karma </div> <div class="periodical"> <em>Annual Review of Materials Research</em>, 2002 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="flemings1974solidification" class="col-sm-8"> <div class="title"><a href="">Solidification processing</a></div> <div class="author"> M. C. Flemings </div> <div class="periodical"> <em>Metallurgical Transactions</em>, 1974 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="kuhn1986fundamentals" class="col-sm-8"> <div class="title"><a href="">Fundamentals of solidification</a></div> <div class="author"> G. Kühn, W. Kurz, and D. J. Fisher </div> <div class="periodical"> <em>Crystal Research and Technology</em>, 1986 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="gomez2017computational" class="col-sm-8"> <div class="title"><a href="">Computational Phase-Field Modeling</a></div> <div class="author"> H. Gomez, and K. G. Zee </div> <div class="periodical"> <em>In Encyclopedia of Computational Mechanics Second Edition</em> , 2017 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="gomez2019review" class="col-sm-8"> <div class="title"><a href="">A review on computational modelling of phase-transition problems</a></div> <div class="author"> H. Gomez, M. Bures, and A. Moure </div> <div class="periodical"> <em>Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences</em>, 2019 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> </ol> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/blog/2024/index.html b/blog/2024/index.html
index 8a527d89..d0358ccb 100644
--- a/blog/2024/index.html
+++ b/blog/2024/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> 2024 | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/2024/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title"> <i class="fa-solid fa-calendar fa-sm"></i> 2024</h1> <p class="post-description">an archive of posts from this year</p> </header> <article class="archive"> <div class="table-responsive"> <table class="table table-sm table-borderless"> <tr> <th scope="row">Jun 20, 2024</th> <td> <a class="post-link" href="/blog/2024/Solidification/">Phase-field Modeling of Dendritic Solidification</a> </td> </tr> <tr> <th scope="row">Jun 19, 2024</th> <td> <a class="post-link" href="/blog/2024/CahnHilliard/">Solving the Cahn-Hilliard equation on complex geometries</a> </td> </tr> </table> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> 2024 | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/2024/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title"> <i class="fa-solid fa-calendar fa-sm"></i> 2024</h1> <p class="post-description">an archive of posts from this year</p> </header> <article class="archive"> <div class="table-responsive"> <table class="table table-sm table-borderless"> <tr> <th scope="row">Jun 20, 2024</th> <td> <a class="post-link" href="/blog/2024/Solidification/">Phase-field Modeling of Dendritic Solidification</a> </td> </tr> <tr> <th scope="row">Jun 19, 2024</th> <td> <a class="post-link" href="/blog/2024/CahnHilliard/">Solving the Cahn-Hilliard equation on complex geometries</a> </td> </tr> </table> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/blog/category/projects/index.html b/blog/category/projects/index.html
index 2b7f28d2..2f9658e2 100644
--- a/blog/category/projects/index.html
+++ b/blog/category/projects/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Projects | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/category/projects/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title"> <i class="fa-solid fa-tag fa-sm"></i> Projects</h1> <p class="post-description">an archive of posts in this category</p> </header> <article class="archive"> <div class="table-responsive"> <table class="table table-sm table-borderless"> <tr> <th scope="row">Jun 20, 2024</th> <td> <a class="post-link" href="/blog/2024/Solidification/">Phase-field Modeling of Dendritic Solidification</a> </td> </tr> <tr> <th scope="row">Jun 19, 2024</th> <td> <a class="post-link" href="/blog/2024/CahnHilliard/">Solving the Cahn-Hilliard equation on complex geometries</a> </td> </tr> </table> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Projects | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/category/projects/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title"> <i class="fa-solid fa-tag fa-sm"></i> Projects</h1> <p class="post-description">an archive of posts in this category</p> </header> <article class="archive"> <div class="table-responsive"> <table class="table table-sm table-borderless"> <tr> <th scope="row">Jun 20, 2024</th> <td> <a class="post-link" href="/blog/2024/Solidification/">Phase-field Modeling of Dendritic Solidification</a> </td> </tr> <tr> <th scope="row">Jun 19, 2024</th> <td> <a class="post-link" href="/blog/2024/CahnHilliard/">Solving the Cahn-Hilliard equation on complex geometries</a> </td> </tr> </table> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/blog/index.html b/blog/index.html
index 9a40c335..04b459d1 100644
--- a/blog/index.html
+++ b/blog/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Blog | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item active"> <a class="nav-link" href="/blog/">Blog <span class="sr-only">(current)</span> </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <div class="header-bar"> <h1></h1> <h2>Some writings on computational mechanics, PDEs, FEM/IGA, and parallel computing</h2> </div> <ul class="post-list"> <li> <div class="row"> <div class="col-sm-9"> <h3> <a class="post-title" href="/blog/2024/Solidification/">Phase-field Modeling of Dendritic Solidification</a> </h3> <p>we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.</p> <p class="post-meta"> 11 min read   ·   June 20, 2024 </p> <p class="post-tags"> <a href="/blog/2024"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </a>   ·   <a href="/blog/tag/phase-field"> <i class="fa-solid fa-hashtag fa-sm"></i> Phase-field</a>   <a href="/blog/tag/pdes"> <i class="fa-solid fa-hashtag fa-sm"></i> PDEs</a>   <a href="/blog/tag/iga"> <i class="fa-solid fa-hashtag fa-sm"></i> IGA</a>   ·   <a href="/blog/category/projects"> <i class="fa-solid fa-tag fa-sm"></i> Projects</a> </p> </div> <div class="col-sm-3"> <img class="card-img" src="/assets/img/sol_1.jpg" style="object-fit: cover; height: 90%" alt="image"> </div> </div> </li> <li> <div class="row"> <div class="col-sm-9"> <h3> <a class="post-title" href="/blog/2024/CahnHilliard/">Solving the Cahn-Hilliard equation on complex geometries</a> </h3> <p>We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,</p> <p class="post-meta"> 18 min read   ·   June 19, 2024 </p> <p class="post-tags"> <a href="/blog/2024"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </a>   ·   <a href="/blog/tag/cahn-hilliard"> <i class="fa-solid fa-hashtag fa-sm"></i> Cahn-Hilliard</a>   <a href="/blog/tag/pdes"> <i class="fa-solid fa-hashtag fa-sm"></i> PDEs</a>   <a href="/blog/tag/iga"> <i class="fa-solid fa-hashtag fa-sm"></i> IGA</a>   ·   <a href="/blog/category/projects"> <i class="fa-solid fa-tag fa-sm"></i> Projects</a> </p> </div> <div class="col-sm-3"> <img class="card-img" src="/assets/img/fig2_ch.jpg" style="object-fit: cover; height: 90%" alt="image"> </div> </div> </li> </ul> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Blog | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item active"> <a class="nav-link" href="/blog/">Blog <span class="sr-only">(current)</span> </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <div class="header-bar"> <h1></h1> <h2>Some writings on computational mechanics, PDEs, FEM/IGA, and parallel computing</h2> </div> <ul class="post-list"> <li> <div class="row"> <div class="col-sm-9"> <h3> <a class="post-title" href="/blog/2024/Solidification/">Phase-field Modeling of Dendritic Solidification</a> </h3> <p>we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.</p> <p class="post-meta"> 11 min read   ·   June 20, 2024 </p> <p class="post-tags"> <a href="/blog/2024"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </a>   ·   <a href="/blog/tag/phase-field"> <i class="fa-solid fa-hashtag fa-sm"></i> Phase-field</a>   <a href="/blog/tag/pdes"> <i class="fa-solid fa-hashtag fa-sm"></i> PDEs</a>   <a href="/blog/tag/iga"> <i class="fa-solid fa-hashtag fa-sm"></i> IGA</a>   ·   <a href="/blog/category/projects"> <i class="fa-solid fa-tag fa-sm"></i> Projects</a> </p> </div> <div class="col-sm-3"> <img class="card-img" src="/assets/img/sol_1.jpg" style="object-fit: cover; height: 90%" alt="image"> </div> </div> </li> <li> <div class="row"> <div class="col-sm-9"> <h3> <a class="post-title" href="/blog/2024/CahnHilliard/">Solving the Cahn-Hilliard equation on complex geometries</a> </h3> <p>We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,</p> <p class="post-meta"> 18 min read   ·   June 19, 2024 </p> <p class="post-tags"> <a href="/blog/2024"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </a>   ·   <a href="/blog/tag/cahn-hilliard"> <i class="fa-solid fa-hashtag fa-sm"></i> Cahn-Hilliard</a>   <a href="/blog/tag/pdes"> <i class="fa-solid fa-hashtag fa-sm"></i> PDEs</a>   <a href="/blog/tag/iga"> <i class="fa-solid fa-hashtag fa-sm"></i> IGA</a>   ·   <a href="/blog/category/projects"> <i class="fa-solid fa-tag fa-sm"></i> Projects</a> </p> </div> <div class="col-sm-3"> <img class="card-img" src="/assets/img/fig2_ch.jpg" style="object-fit: cover; height: 90%" alt="image"> </div> </div> </li> </ul> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/blog/tag/cahn-hilliard/index.html b/blog/tag/cahn-hilliard/index.html
index 06193a0a..c4f2c994 100644
--- a/blog/tag/cahn-hilliard/index.html
+++ b/blog/tag/cahn-hilliard/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Cahn-Hilliard | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/tag/cahn-hilliard/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title"> <i class="fa-solid fa-hashtag fa-sm"></i> Cahn-Hilliard</h1> <p class="post-description">an archive of posts with this tag</p> </header> <article class="archive"> <div class="table-responsive"> <table class="table table-sm table-borderless"> <tr> <th scope="row">Jun 19, 2024</th> <td> <a class="post-link" href="/blog/2024/CahnHilliard/">Solving the Cahn-Hilliard equation on complex geometries</a> </td> </tr> </table> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Cahn-Hilliard | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/tag/cahn-hilliard/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title"> <i class="fa-solid fa-hashtag fa-sm"></i> Cahn-Hilliard</h1> <p class="post-description">an archive of posts with this tag</p> </header> <article class="archive"> <div class="table-responsive"> <table class="table table-sm table-borderless"> <tr> <th scope="row">Jun 19, 2024</th> <td> <a class="post-link" href="/blog/2024/CahnHilliard/">Solving the Cahn-Hilliard equation on complex geometries</a> </td> </tr> </table> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/blog/tag/iga/index.html b/blog/tag/iga/index.html
index c2361263..fc1267c1 100644
--- a/blog/tag/iga/index.html
+++ b/blog/tag/iga/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> IGA | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/tag/iga/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title"> <i class="fa-solid fa-hashtag fa-sm"></i> IGA</h1> <p class="post-description">an archive of posts with this tag</p> </header> <article class="archive"> <div class="table-responsive"> <table class="table table-sm table-borderless"> <tr> <th scope="row">Jun 20, 2024</th> <td> <a class="post-link" href="/blog/2024/Solidification/">Phase-field Modeling of Dendritic Solidification</a> </td> </tr> <tr> <th scope="row">Jun 19, 2024</th> <td> <a class="post-link" href="/blog/2024/CahnHilliard/">Solving the Cahn-Hilliard equation on complex geometries</a> </td> </tr> </table> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> IGA | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/tag/iga/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title"> <i class="fa-solid fa-hashtag fa-sm"></i> IGA</h1> <p class="post-description">an archive of posts with this tag</p> </header> <article class="archive"> <div class="table-responsive"> <table class="table table-sm table-borderless"> <tr> <th scope="row">Jun 20, 2024</th> <td> <a class="post-link" href="/blog/2024/Solidification/">Phase-field Modeling of Dendritic Solidification</a> </td> </tr> <tr> <th scope="row">Jun 19, 2024</th> <td> <a class="post-link" href="/blog/2024/CahnHilliard/">Solving the Cahn-Hilliard equation on complex geometries</a> </td> </tr> </table> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/blog/tag/pdes/index.html b/blog/tag/pdes/index.html
index 044db4cb..b1783dd5 100644
--- a/blog/tag/pdes/index.html
+++ b/blog/tag/pdes/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> PDEs | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/tag/pdes/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title"> <i class="fa-solid fa-hashtag fa-sm"></i> PDEs</h1> <p class="post-description">an archive of posts with this tag</p> </header> <article class="archive"> <div class="table-responsive"> <table class="table table-sm table-borderless"> <tr> <th scope="row">Jun 20, 2024</th> <td> <a class="post-link" href="/blog/2024/Solidification/">Phase-field Modeling of Dendritic Solidification</a> </td> </tr> <tr> <th scope="row">Jun 19, 2024</th> <td> <a class="post-link" href="/blog/2024/CahnHilliard/">Solving the Cahn-Hilliard equation on complex geometries</a> </td> </tr> </table> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> PDEs | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/tag/pdes/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title"> <i class="fa-solid fa-hashtag fa-sm"></i> PDEs</h1> <p class="post-description">an archive of posts with this tag</p> </header> <article class="archive"> <div class="table-responsive"> <table class="table table-sm table-borderless"> <tr> <th scope="row">Jun 20, 2024</th> <td> <a class="post-link" href="/blog/2024/Solidification/">Phase-field Modeling of Dendritic Solidification</a> </td> </tr> <tr> <th scope="row">Jun 19, 2024</th> <td> <a class="post-link" href="/blog/2024/CahnHilliard/">Solving the Cahn-Hilliard equation on complex geometries</a> </td> </tr> </table> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/blog/tag/phase-field/index.html b/blog/tag/phase-field/index.html
index ba953d54..6ec2bd7b 100644
--- a/blog/tag/phase-field/index.html
+++ b/blog/tag/phase-field/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Phase-field | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/tag/phase-field/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title"> <i class="fa-solid fa-hashtag fa-sm"></i> Phase-field</h1> <p class="post-description">an archive of posts with this tag</p> </header> <article class="archive"> <div class="table-responsive"> <table class="table table-sm table-borderless"> <tr> <th scope="row">Jun 20, 2024</th> <td> <a class="post-link" href="/blog/2024/Solidification/">Phase-field Modeling of Dendritic Solidification</a> </td> </tr> </table> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Phase-field | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/blog/tag/phase-field/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title"> <i class="fa-solid fa-hashtag fa-sm"></i> Phase-field</h1> <p class="post-description">an archive of posts with this tag</p> </header> <article class="archive"> <div class="table-responsive"> <table class="table table-sm table-borderless"> <tr> <th scope="row">Jun 20, 2024</th> <td> <a class="post-link" href="/blog/2024/Solidification/">Phase-field Modeling of Dendritic Solidification</a> </td> </tr> </table> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/cv/index.html b/cv/index.html
index 7d5f2506..ca0ea52b 100644
--- a/cv/index.html
+++ b/cv/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> CV | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/cv/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item active"> <a class="nav-link" href="/cv/">CV <span class="sr-only">(current)</span> </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title"> CV <a href="/assets/pdf/Resume_deLucio.pdf" target="_blank" rel="noopener noreferrer" class="float-right"><i class="fa-solid fa-file-pdf"></i></a> </h1> </header> <article> <div class="cv"> <a class="anchor" id="General Information"></a> <div class="card mt-3 p-3"> <h3 class="card-title font-weight-medium">General Information</h3> <div> <table class="table table-cv table-sm table-borderless table-responsive"> <tr> <td class="p-1 pr-2 font-weight-bold"> <b>Full Name</b> </td> <td class="p-1 pl-2 font-weight-light text">Mario de Lucio</td> </tr> <tr> <td class="p-1 pr-2 font-weight-bold"> <b>Place of Birth</b> </td> <td class="p-1 pl-2 font-weight-light text">Laredo, Cantabria, Spain</td> </tr> <tr> <td class="p-1 pr-2 font-weight-bold"> <b>Date of Birth</b> </td> <td class="p-1 pl-2 font-weight-light text">22nd August 1994</td> </tr> <tr> <td class="p-1 pr-2 font-weight-bold"> <b>Languages</b> </td> <td class="p-1 pl-2 font-weight-light text">Spanish, English, Galician</td> </tr> </table> </div> </div> <a class="anchor" id="Education"></a> <div class="card mt-3 p-3"> <h3 class="card-title font-weight-medium">Education</h3> <div> <ul class="card-text font-weight-light list-group list-group-flush"> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2020-2024</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">PhD in Mechanical Engineering</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution">Purdue University, IN, USA</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Concentration in <a href="https://www.purdue.edu/gradschool/cigp/about/index.html" rel="external nofollow noopener" target="_blank">Computational Science and Engineering</a> and Solid Mechanics.</span> </li> <li> <span class="item">Ph.D. thesis <a href="https://hammer.purdue.edu/articles/thesis/Numerical_Simulation_and_Poromechanical_Modeling_of_Subcutaneous_Injection_of_Monoclonal_Antibodies/25674240" rel="external nofollow noopener" target="_blank">"Numerical simulation and poromechanical modeling of subcutaneous injection of monoclonal antibodies"</a></span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2017-2019</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">MSc in Civil Engineering (Graduated with Honors, ranked 1st)</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution">University of A Coruna, Spain</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Concentration in Structural and Construction Engineering</span> </li> <li> <span class="item">Master’s thesis <a href="https://www.researchgate.net/publication/329707429_A_multi-layered_in-silico_model_for_rupture_risk_assessment_of_abdominal_aortic_aneurysms_with_non-atherosclerotic_intimal_thickening" rel="external nofollow noopener" target="_blank">"A multi-layered in-silico model for rupture risk assessment of abdominal aortic aneurysms with non-atherosclerotic intimal thickening"</a></span> </li> <li> <span class="item">Professional master’s project <a href="https://dialnet.unirioja.es/servlet/articulo?codigo=7486537" rel="external nofollow noopener" target="_blank">"Cable-stayed bridge over the San Martin Strait to connect the towns of Laredo and Santoña, Cantabria, Northern Spain"</a></span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2013-2017</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">BSc in Civil Engineering (Graduated with Honors, ranked 1st)</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution">University of A Coruna, Spain</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Concentration in Structural and Geotechnical Engineering</span> </li> <li> <span class="item">Bachelor’s thesis <a href="https://ruc.udc.es/dspace/handle/2183/19429" rel="external nofollow noopener" target="_blank">"Environmental Restoration and Channeling of Juan Diaz River in Panama City"</a></span> </li> </ul> </div> </div> </li> </ul> </div> </div> <a class="anchor" id="Experience"></a> <div class="card mt-3 p-3"> <h3 class="card-title font-weight-medium">Experience</h3> <div> <ul class="card-text font-weight-light list-group list-group-flush"> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">Jul 2024 - Present</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">Research Scientist</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution"> <a href="https://www.purdue.edu/research/rche/" rel="external nofollow noopener" target="_blank">Regenstrief Center for Healthcare Engineering</a>, Purdue University, IN, USA</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Engaged in a strategic collaboration between Eli Lilly and Purdue University, concentrating on the analysis and optimization of injectable medicine delivery systems.</span> </li> <li> <span class="item">Conducted advanced numerical simulations to enhance understanding of the auto-injection process mechanics, aiming to improve drug bioavailability, minimize injection site pain, and boost patient compliance and overall health. - Developed high-fidelity computational models using the Finite Element Method and Isogeometric Analysis to understand and and predict tissue deformation and fluid pressure build-up as well as their impact on drug transport and absorption.</span> </li> <li> <span class="item">Explored innovative approaches and technologies for improving drug delivery systems, focusing on device design, injection parameters, and drug formulation</span> </li> <li> <span class="item">Supported and advanced the strategic collaboration between Eli Lilly and Purdue University, promoting the translation of research findings into practical applications within the pharmaceutical industry.</span> </li> <li> <span class="item">Demonstrated expertise in advanced computational methods, quantitative analysis, Bayesian and causal inference modeling, and AI methods in health and life sciences.</span> </li> <li> <span class="item">Contributed to research grant writing, project management, and publication in reputable healthcare, medical, and biomedical journals.</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">Jan 2020 - Jul 2024</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">Research Assistant</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution">Purdue University, IN, USA</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Involved in a project within a strategic collaboration between Eli Lilly and Purdue University, focusing on the analysis of the delivery of injectable medicines.</span> </li> <li> <span class="item">Performed numerical simulations to analyze the delivery of injectable medicines with the overall goals of better understanding the fundamental mechanics of the auto-injection process and its effect on skin, improved drug bioavailability, and reducing injection site pain in order to better patient compliance and enhance overall health.</span> </li> <li> <span class="item">Developed high-fidelity computational models using the Finite Element Method and Isogeometric Analysis to understand and and predict tissue deformation and fluid pressure build-up as well as their impact on drug transport and absorption.</span> </li> <li> <span class="item">Investigated innovative approaches and technologies to improve drug delivery systems, considering factors such as device design, injection parameters, and drug formulation.</span> </li> <li> <span class="item">Utilized data from computational models to drive informed decision-making in medical device development, enabling effective optimization and innovation in design and functionality.</span> </li> <li> <span class="item">Supported the strategic collaboration between Eli Lilly and Purdue University, fostering innovation and facilitating the translation of research findings into practical applications in the pharmaceutical industry.</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">Jul 2019 - Dec 2019</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">Visiting Researcher</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution">Purdue University, IN, USA</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Developed computational methods utilizing isogeometric analysis, poroelasticity, and data-driven tissue geometries to model the complex dynamics of high-volume, high-speed subcutaneous injection of monoclonal antibodies.</span> </li> <li> <span class="item">Developed highly sophisticated numerical algorithms capable of running in parallel, utilizing 200+ processors in Purdue’s Rosen Center for Advanced Computing.</span> </li> <li> <span class="item">Leveraged the computational power and parallel processing capabilities to efficiently simulate and analyze the complex fluid-structure interactions during the subcutaneous injection process.</span> </li> <li> <span class="item">Conducted extensive simulations using the developed computational methods to investigate the effects of injection parameters, tissue properties, and geometrical variations on the injection dynamics and the resulting distribution of monoclonal antibodies.</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">Jul 2018 - Sep 2018</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">Graduate Research Assistant</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution"> <a href="https://www.ntnu.edu/casa" rel="external nofollow noopener" target="_blank">Norwegian University of Science and Technology</a>, Trondheim, Norway</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Acted as a main collaborator in the project "Industrial Implementation of 3D printed AlSi10Mg components under quasi-static loading".</span> </li> <li> <span class="item">Conducted experimental tests on structures under both quasi-static and dynamic conditions, specifically focusing on extreme deformations and crushing.</span> </li> <li> <span class="item">Utilized Digital Image Correlation (DIC) tools to postprocess experimental results, enabling precise measurements and analysis of structural behavior.</span> </li> <li> <span class="item">Applied crashworthiness optimization techniques to enhance the performance and efficiency of the structures.</span> </li> <li> <span class="item">Developed finite element models to simulate the behavior of aluminum alloy thin-walled structures.</span> </li> <li> <span class="item">Developed comprehensive material card for AlSi10Mg 3D printed aluminum, encompassing mechanical, thermal, and viscoelastic properties for accurate simulation in engineering analyses.</span> </li> <li> <span class="item">Collaborated closely with industry partners to ensure the successful implementation of 3D printed components under quasi-static loading.</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">Oct 2017 - Jul 2018</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">Graduate Research Assistant</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution"> <a href="http://gme.udc.es/en" rel="external nofollow noopener" target="_blank">University of A Coruna</a>, A Coruna, Spain</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Awarded a prestigious fellowship by the Spanish Ministry of Education and Science to serve as a principal investigator, collaborating with the Department of Cardiovascular Surgery at the Complejo Universitario Hospitalario de A Coruna (CHUAC), to conduct research on the risk of rupture of abdominal aortic aneurysms (AAA) with atherosclerotic intimal thickening.</span> </li> <li> <span class="item">Developed an in-house code, called AneuPy, to generate idealized geometrical models of AAAs using clinical data. This code facilitated the creation of accurate and representative computational models for further analysis.</span> </li> <li> <span class="item">Performed cardiovascular fluid-structure interaction simulations of AAAs using different constitutive models for aortic tissue that allowed to better determine the risk of rupture.</span> </li> <li> <span class="item">Analyzed the stress distribution, deformation patterns, and hemodynamic factors within the AAA models to gain insights into the potential mechanisms of rupture.</span> </li> <li> <span class="item">Collaborated closely with the Department of Cardiovascular Surgery at CHUAC, exchanging knowledge and expertise to bridge the gap between research and clinical applications.</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">Sep 2016 - Jul 2017</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">Undergraduate Research Assistant</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution"> <a href="http://gme.udc.es/en" rel="external nofollow noopener" target="_blank">University of A Coruna</a>, A Coruna, Spain</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Granted with a research scholarship from the University of A Coruña to conduct research under the project "Mechanical Characterization of Structural Adhesives for Crashworthiness Applications".</span> </li> <li> <span class="item">Analyzed the mechanical behavior of various structural adhesives through rigorous experimental tests (single lap, double lap, thermal tests).</span> </li> <li> <span class="item">Developed computational models with cohesive elements and nonlinear contact mechanics to accurately reproduce the structural behavior of the adhesives.</span> </li> <li> <span class="item">Successfully replicated the adhesive’s structural behavior in the computational model, validating the quality of the mechanical characterization.</span> </li> <li> <span class="item">Provided engineers and researchers with a reliable tool for assessing adhesive performance and optimizing their, use in various industries.</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">Jun 2016 - Sep 2016</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">Project Manager Assistant</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution"> <a href="https://ihcantabria.com/en/" rel="external nofollow noopener" target="_blank">Environmental Hydraulics Institute of Cantabria</a>, Santander, Spain</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Worked as a hydraulic modeler on large-scale flood management projects in Panama and Venezuela in collaboration with the World Bank and the Inter-American Development Bank.</span> </li> <li> <span class="item">Conducted two and three-dimensional numerical simulations of free surface flow in rivers and estuaries to assess and quantify the level of flood hazard in densely populated urban areas.</span> </li> <li> <span class="item">Utilized advanced numerical models to assess the level of flood hazard and create accurate flood risk maps, providing valuable information for urban planning and disaster management strategies.</span> </li> <li> <span class="item">Generated accurate flood risk maps by analyzing the hydraulic behavior of water bodies, considering factors such as water flow, topography, and urban infrastructure.</span> </li> <li> <span class="item">Designed and proposed innovative solutions including flood barriers, coastal defenses, waterfront parks, floodresilient buildings and landscapes, reducing flood hazards by up to 60%.</span> </li> <li> <span class="item">Conducted feasibility studies and cost-benefit analyses to evaluate the economic and environmental implications of proposed flood mitigation solutions, assisting decision-makers in selecting the most suitable approaches.</span> </li> </ul> </div> </div> </li> </ul> </div> </div> <a class="anchor" id="Honors and Awards"></a> <div class="card mt-3 p-3"> <h3 class="card-title font-weight-medium">Honors and Awards</h3> <div> <ul class="card-text font-weight-light list-group list-group-flush"> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2024</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <ul class="items"> <li> <span class="item">Robert J. Melosh Medal Finalist for the Best Student Paper on Computational Mechanics and Finite Element Analysis.</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2023</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <ul class="items"> <li> <span class="item"><a href="https://engineering.purdue.edu/ME/News/2023/purdue-me-grad-students-receive-fellowships-and-scholarships" rel="external nofollow noopener" target="_blank">Ben M. Hillberry Graduate Scholarship</a>, for PhD students pursuing research in the areas of biomechanics and materials, School of Mechanical Engineering, Purdue University.</span> </li> <li> <span class="item"><a href="https://engineering.purdue.edu/Engr/Trailblazers/Fellows/2023/Lucio" rel="external nofollow noopener" target="_blank">2023 Trailblazers in Engineering Fellow</a>, Purdue University College of Engineering.</span> </li> <li> <span class="item">Winner of the <a href="https://www.asce.org/communities/institutes-and-technical-groups/engineering-mechanics-institute/news/emi-2023-student-winners" rel="external nofollow noopener" target="_blank">2023 Poromechanics Student Competition</a>, Engineering Mechanics Institute, American Society of Civil Engineers.</span> </li> <li> <span class="item">College of Engineering Conference Travel Grant, Purdue University.</span> </li> <li> <span class="item">Purdue Graduate Student Government Doctoral Travel Grant, Purdue University.</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2020</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <ul class="items"> <li> <span class="item"><a href="https://www.youtube.com/watch?v=hUmzbm_o9N0&amp;t=2047s" rel="external nofollow noopener" target="_blank">National Award to the best Master's Thesis in Civil Engineering by the Spanish Institution of Civil Engineers</a></span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2019</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <ul class="items"> <li> <span class="item">Award to the highest cumulative GPA of the School of Civil Engineering, University of A Coruna</span> </li> <li> <span class="item">Outstanding Civil Engineering Student Award, Galician Civil Engineering Foundation</span> </li> <li> <span class="item">Award to the best Master's Thesis in Structural Engineering by Grupo Puentes</span> </li> <li> <span class="item"><a href="https://www.copasagroup.com/es/premios-copasa-2019/" rel="external nofollow noopener" target="_blank">Award to the best Master's Thesis in Construction Engineering by COPASA</a></span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2017</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <ul class="items"> <li> <span class="item">Award to the highest cumulative GPA of the School of Civil Engineering, University of A Coruna</span> </li> <li> <span class="item">Outstanding Civil Engineering Student Award, Galician Civil Engineering Foundation</span> </li> <li> <span class="item">Award to the best Bachelor's Thesis in the field of Hydraulic Engineering by Gas Natural Fenosa</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2016</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <ul class="items"> <li> <span class="item">Best Undergraduate Poster Award at the 2016 Graduate &amp; Undergraduate Research Symposium, University of A Coruña</span> </li> </ul> </div> </div> </li> </ul> </div> </div> <a class="anchor" id="Skills"></a> <div class="card mt-3 p-3"> <h3 class="card-title font-weight-medium">Skills</h3> <div> <ul class="card-text font-weight-light list-group list-group-flush"> <li class="list-group-item">Research, FEM, Python, FORTRAN, MATLAB, FEnics, PetIGA, Abaqus</li> </ul> </div> </div> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> CV | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/cv/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item active"> <a class="nav-link" href="/cv/">CV <span class="sr-only">(current)</span> </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title"> CV <a href="/assets/pdf/Resume_deLucio.pdf" target="_blank" rel="noopener noreferrer" class="float-right"><i class="fa-solid fa-file-pdf"></i></a> </h1> </header> <article> <div class="cv"> <a class="anchor" id="General Information"></a> <div class="card mt-3 p-3"> <h3 class="card-title font-weight-medium">General Information</h3> <div> <table class="table table-cv table-sm table-borderless table-responsive"> <tr> <td class="p-1 pr-2 font-weight-bold"> <b>Full Name</b> </td> <td class="p-1 pl-2 font-weight-light text">Mario de Lucio</td> </tr> <tr> <td class="p-1 pr-2 font-weight-bold"> <b>Place of Birth</b> </td> <td class="p-1 pl-2 font-weight-light text">Laredo, Cantabria, Spain</td> </tr> <tr> <td class="p-1 pr-2 font-weight-bold"> <b>Date of Birth</b> </td> <td class="p-1 pl-2 font-weight-light text">22nd August 1994</td> </tr> <tr> <td class="p-1 pr-2 font-weight-bold"> <b>Languages</b> </td> <td class="p-1 pl-2 font-weight-light text">Spanish, English, Galician</td> </tr> </table> </div> </div> <a class="anchor" id="Education"></a> <div class="card mt-3 p-3"> <h3 class="card-title font-weight-medium">Education</h3> <div> <ul class="card-text font-weight-light list-group list-group-flush"> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2020-2024</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">PhD in Mechanical Engineering</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution">Purdue University, IN, USA</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Concentration in <a href="https://www.purdue.edu/gradschool/cigp/about/index.html" rel="external nofollow noopener" target="_blank">Computational Science and Engineering</a> and Solid Mechanics.</span> </li> <li> <span class="item">Ph.D. thesis <a href="https://hammer.purdue.edu/articles/thesis/Numerical_Simulation_and_Poromechanical_Modeling_of_Subcutaneous_Injection_of_Monoclonal_Antibodies/25674240" rel="external nofollow noopener" target="_blank">"Numerical simulation and poromechanical modeling of subcutaneous injection of monoclonal antibodies"</a></span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2017-2019</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">MSc in Civil Engineering (Graduated with Honors, ranked 1st)</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution">University of A Coruna, Spain</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Concentration in Structural and Construction Engineering</span> </li> <li> <span class="item">Master’s thesis <a href="https://www.researchgate.net/publication/329707429_A_multi-layered_in-silico_model_for_rupture_risk_assessment_of_abdominal_aortic_aneurysms_with_non-atherosclerotic_intimal_thickening" rel="external nofollow noopener" target="_blank">"A multi-layered in-silico model for rupture risk assessment of abdominal aortic aneurysms with non-atherosclerotic intimal thickening"</a></span> </li> <li> <span class="item">Professional master’s project <a href="https://dialnet.unirioja.es/servlet/articulo?codigo=7486537" rel="external nofollow noopener" target="_blank">"Cable-stayed bridge over the San Martin Strait to connect the towns of Laredo and Santoña, Cantabria, Northern Spain"</a></span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2013-2017</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">BSc in Civil Engineering (Graduated with Honors, ranked 1st)</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution">University of A Coruna, Spain</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Concentration in Structural and Geotechnical Engineering</span> </li> <li> <span class="item">Bachelor’s thesis <a href="https://ruc.udc.es/dspace/handle/2183/19429" rel="external nofollow noopener" target="_blank">"Environmental Restoration and Channeling of Juan Diaz River in Panama City"</a></span> </li> </ul> </div> </div> </li> </ul> </div> </div> <a class="anchor" id="Experience"></a> <div class="card mt-3 p-3"> <h3 class="card-title font-weight-medium">Experience</h3> <div> <ul class="card-text font-weight-light list-group list-group-flush"> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">Jul 2024 - Present</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">Research Scientist</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution"> <a href="https://www.purdue.edu/research/rche/" rel="external nofollow noopener" target="_blank">Regenstrief Center for Healthcare Engineering</a>, Purdue University, IN, USA</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Engaged in a strategic collaboration between Eli Lilly and Purdue University, concentrating on the analysis and optimization of injectable medicine delivery systems.</span> </li> <li> <span class="item">Conducted advanced numerical simulations to enhance understanding of the auto-injection process mechanics, aiming to improve drug bioavailability, minimize injection site pain, and boost patient compliance and overall health. - Developed high-fidelity computational models using the Finite Element Method and Isogeometric Analysis to understand and and predict tissue deformation and fluid pressure build-up as well as their impact on drug transport and absorption.</span> </li> <li> <span class="item">Explored innovative approaches and technologies for improving drug delivery systems, focusing on device design, injection parameters, and drug formulation</span> </li> <li> <span class="item">Supported and advanced the strategic collaboration between Eli Lilly and Purdue University, promoting the translation of research findings into practical applications within the pharmaceutical industry.</span> </li> <li> <span class="item">Demonstrated expertise in advanced computational methods, quantitative analysis, Bayesian and causal inference modeling, and AI methods in health and life sciences.</span> </li> <li> <span class="item">Contributed to research grant writing, project management, and publication in reputable healthcare, medical, and biomedical journals.</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">Jan 2020 - Jul 2024</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">Research Assistant</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution">Purdue University, IN, USA</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Involved in a project within a strategic collaboration between Eli Lilly and Purdue University, focusing on the analysis of the delivery of injectable medicines.</span> </li> <li> <span class="item">Performed numerical simulations to analyze the delivery of injectable medicines with the overall goals of better understanding the fundamental mechanics of the auto-injection process and its effect on skin, improved drug bioavailability, and reducing injection site pain in order to better patient compliance and enhance overall health.</span> </li> <li> <span class="item">Developed high-fidelity computational models using the Finite Element Method and Isogeometric Analysis to understand and and predict tissue deformation and fluid pressure build-up as well as their impact on drug transport and absorption.</span> </li> <li> <span class="item">Investigated innovative approaches and technologies to improve drug delivery systems, considering factors such as device design, injection parameters, and drug formulation.</span> </li> <li> <span class="item">Utilized data from computational models to drive informed decision-making in medical device development, enabling effective optimization and innovation in design and functionality.</span> </li> <li> <span class="item">Supported the strategic collaboration between Eli Lilly and Purdue University, fostering innovation and facilitating the translation of research findings into practical applications in the pharmaceutical industry.</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">Jul 2019 - Dec 2019</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">Visiting Researcher</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution">Purdue University, IN, USA</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Developed computational methods utilizing isogeometric analysis, poroelasticity, and data-driven tissue geometries to model the complex dynamics of high-volume, high-speed subcutaneous injection of monoclonal antibodies.</span> </li> <li> <span class="item">Developed highly sophisticated numerical algorithms capable of running in parallel, utilizing 200+ processors in Purdue’s Rosen Center for Advanced Computing.</span> </li> <li> <span class="item">Leveraged the computational power and parallel processing capabilities to efficiently simulate and analyze the complex fluid-structure interactions during the subcutaneous injection process.</span> </li> <li> <span class="item">Conducted extensive simulations using the developed computational methods to investigate the effects of injection parameters, tissue properties, and geometrical variations on the injection dynamics and the resulting distribution of monoclonal antibodies.</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">Jul 2018 - Sep 2018</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">Graduate Research Assistant</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution"> <a href="https://www.ntnu.edu/casa" rel="external nofollow noopener" target="_blank">Norwegian University of Science and Technology</a>, Trondheim, Norway</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Acted as a main collaborator in the project "Industrial Implementation of 3D printed AlSi10Mg components under quasi-static loading".</span> </li> <li> <span class="item">Conducted experimental tests on structures under both quasi-static and dynamic conditions, specifically focusing on extreme deformations and crushing.</span> </li> <li> <span class="item">Utilized Digital Image Correlation (DIC) tools to postprocess experimental results, enabling precise measurements and analysis of structural behavior.</span> </li> <li> <span class="item">Applied crashworthiness optimization techniques to enhance the performance and efficiency of the structures.</span> </li> <li> <span class="item">Developed finite element models to simulate the behavior of aluminum alloy thin-walled structures.</span> </li> <li> <span class="item">Developed comprehensive material card for AlSi10Mg 3D printed aluminum, encompassing mechanical, thermal, and viscoelastic properties for accurate simulation in engineering analyses.</span> </li> <li> <span class="item">Collaborated closely with industry partners to ensure the successful implementation of 3D printed components under quasi-static loading.</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">Oct 2017 - Jul 2018</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">Graduate Research Assistant</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution"> <a href="http://gme.udc.es/en" rel="external nofollow noopener" target="_blank">University of A Coruna</a>, A Coruna, Spain</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Awarded a prestigious fellowship by the Spanish Ministry of Education and Science to serve as a principal investigator, collaborating with the Department of Cardiovascular Surgery at the Complejo Universitario Hospitalario de A Coruna (CHUAC), to conduct research on the risk of rupture of abdominal aortic aneurysms (AAA) with atherosclerotic intimal thickening.</span> </li> <li> <span class="item">Developed an in-house code, called AneuPy, to generate idealized geometrical models of AAAs using clinical data. This code facilitated the creation of accurate and representative computational models for further analysis.</span> </li> <li> <span class="item">Performed cardiovascular fluid-structure interaction simulations of AAAs using different constitutive models for aortic tissue that allowed to better determine the risk of rupture.</span> </li> <li> <span class="item">Analyzed the stress distribution, deformation patterns, and hemodynamic factors within the AAA models to gain insights into the potential mechanisms of rupture.</span> </li> <li> <span class="item">Collaborated closely with the Department of Cardiovascular Surgery at CHUAC, exchanging knowledge and expertise to bridge the gap between research and clinical applications.</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">Sep 2016 - Jul 2017</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">Undergraduate Research Assistant</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution"> <a href="http://gme.udc.es/en" rel="external nofollow noopener" target="_blank">University of A Coruna</a>, A Coruna, Spain</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Granted with a research scholarship from the University of A Coruña to conduct research under the project "Mechanical Characterization of Structural Adhesives for Crashworthiness Applications".</span> </li> <li> <span class="item">Analyzed the mechanical behavior of various structural adhesives through rigorous experimental tests (single lap, double lap, thermal tests).</span> </li> <li> <span class="item">Developed computational models with cohesive elements and nonlinear contact mechanics to accurately reproduce the structural behavior of the adhesives.</span> </li> <li> <span class="item">Successfully replicated the adhesive’s structural behavior in the computational model, validating the quality of the mechanical characterization.</span> </li> <li> <span class="item">Provided engineers and researchers with a reliable tool for assessing adhesive performance and optimizing their, use in various industries.</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">Jun 2016 - Sep 2016</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <h6 class="title font-weight-bold ml-1 ml-md-4">Project Manager Assistant</h6> <table class="table-cv ml-1 ml-md-4 institution"> <tbody> <tr> <td style="vertical-align: top; text-align: center" class="institution"> <i class="fa-solid fa-building-columns iconinstitution"></i> </td> <td class="institution"> <a href="https://ihcantabria.com/en/" rel="external nofollow noopener" target="_blank">Environmental Hydraulics Institute of Cantabria</a>, Santander, Spain</td> </tr> </tbody> </table> <ul class="items"> <li> <span class="item">Worked as a hydraulic modeler on large-scale flood management projects in Panama and Venezuela in collaboration with the World Bank and the Inter-American Development Bank.</span> </li> <li> <span class="item">Conducted two and three-dimensional numerical simulations of free surface flow in rivers and estuaries to assess and quantify the level of flood hazard in densely populated urban areas.</span> </li> <li> <span class="item">Utilized advanced numerical models to assess the level of flood hazard and create accurate flood risk maps, providing valuable information for urban planning and disaster management strategies.</span> </li> <li> <span class="item">Generated accurate flood risk maps by analyzing the hydraulic behavior of water bodies, considering factors such as water flow, topography, and urban infrastructure.</span> </li> <li> <span class="item">Designed and proposed innovative solutions including flood barriers, coastal defenses, waterfront parks, floodresilient buildings and landscapes, reducing flood hazards by up to 60%.</span> </li> <li> <span class="item">Conducted feasibility studies and cost-benefit analyses to evaluate the economic and environmental implications of proposed flood mitigation solutions, assisting decision-makers in selecting the most suitable approaches.</span> </li> </ul> </div> </div> </li> </ul> </div> </div> <a class="anchor" id="Honors and Awards"></a> <div class="card mt-3 p-3"> <h3 class="card-title font-weight-medium">Honors and Awards</h3> <div> <ul class="card-text font-weight-light list-group list-group-flush"> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2024</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <ul class="items"> <li> <span class="item">Robert J. Melosh Medal Finalist for the Best Student Paper on Computational Mechanics and Finite Element Analysis.</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2023</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <ul class="items"> <li> <span class="item"><a href="https://engineering.purdue.edu/ME/News/2023/purdue-me-grad-students-receive-fellowships-and-scholarships" rel="external nofollow noopener" target="_blank">Ben M. Hillberry Graduate Scholarship</a>, for PhD students pursuing research in the areas of biomechanics and materials, School of Mechanical Engineering, Purdue University.</span> </li> <li> <span class="item"><a href="https://engineering.purdue.edu/Engr/Trailblazers/Fellows/2023/Lucio" rel="external nofollow noopener" target="_blank">2023 Trailblazers in Engineering Fellow</a>, Purdue University College of Engineering.</span> </li> <li> <span class="item">Winner of the <a href="https://www.asce.org/communities/institutes-and-technical-groups/engineering-mechanics-institute/news/emi-2023-student-winners" rel="external nofollow noopener" target="_blank">2023 Poromechanics Student Competition</a>, Engineering Mechanics Institute, American Society of Civil Engineers.</span> </li> <li> <span class="item">College of Engineering Conference Travel Grant, Purdue University.</span> </li> <li> <span class="item">Purdue Graduate Student Government Doctoral Travel Grant, Purdue University.</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2020</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <ul class="items"> <li> <span class="item"><a href="https://www.youtube.com/watch?v=hUmzbm_o9N0&amp;t=2047s" rel="external nofollow noopener" target="_blank">National Award to the best Master's Thesis in Civil Engineering by the Spanish Institution of Civil Engineers</a></span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2019</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <ul class="items"> <li> <span class="item">Award to the highest cumulative GPA of the School of Civil Engineering, University of A Coruna</span> </li> <li> <span class="item">Outstanding Civil Engineering Student Award, Galician Civil Engineering Foundation</span> </li> <li> <span class="item">Award to the best Master's Thesis in Structural Engineering by Grupo Puentes</span> </li> <li> <span class="item"><a href="https://www.copasagroup.com/es/premios-copasa-2019/" rel="external nofollow noopener" target="_blank">Award to the best Master's Thesis in Construction Engineering by COPASA</a></span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2017</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <ul class="items"> <li> <span class="item">Award to the highest cumulative GPA of the School of Civil Engineering, University of A Coruna</span> </li> <li> <span class="item">Outstanding Civil Engineering Student Award, Galician Civil Engineering Foundation</span> </li> <li> <span class="item">Award to the best Bachelor's Thesis in the field of Hydraulic Engineering by Gas Natural Fenosa</span> </li> </ul> </div> </div> </li> <li class="list-group-item"> <div class="row"> <div class="col-xs-2 cl-sm-2 col-md-2 text-center" style="width: 75px"> <table class="table-cv"> <tbody> <tr> <td> <span class="badge font-weight-bold danger-color-dark text-uppercase align-middle" style="min-width: 75px">2016</span> </td> </tr> </tbody> </table> </div> <div class="col-xs-10 cl-sm-10 col-md-10 mt-2 mt-md-0"> <ul class="items"> <li> <span class="item">Best Undergraduate Poster Award at the 2016 Graduate &amp; Undergraduate Research Symposium, University of A Coruña</span> </li> </ul> </div> </div> </li> </ul> </div> </div> <a class="anchor" id="Skills"></a> <div class="card mt-3 p-3"> <h3 class="card-title font-weight-medium">Skills</h3> <div> <ul class="card-text font-weight-light list-group list-group-flush"> <li class="list-group-item">Research, FEM, Python, FORTRAN, MATLAB, FEnics, PetIGA, Abaqus</li> </ul> </div> </div> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/feed.xml b/feed.xml
index d725a5af..10233aab 100644
--- a/feed.xml
+++ b/feed.xml
@@ -1 +1 @@
-<?xml version="1.0" encoding="utf-8"?><feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en"><generator uri="https://jekyllrb.com/" version="4.3.3">Jekyll</generator><link href="https://mdeluci.github.io/feed.xml" rel="self" type="application/atom+xml"/><link href="https://mdeluci.github.io/" rel="alternate" type="text/html" hreflang="en"/><updated>2024-12-11T19:24:55+00:00</updated><id>https://mdeluci.github.io/feed.xml</id><title type="html">Mario de Lucio’s website</title><subtitle>Mario de Lucio&apos;s website </subtitle><entry><title type="html">Phase-field Modeling of Dendritic Solidification</title><link href="https://mdeluci.github.io/blog/2024/Solidification/" rel="alternate" type="text/html" title="Phase-field Modeling of Dendritic Solidification"/><published>2024-06-20T06:52:00+00:00</published><updated>2024-06-20T06:52:00+00:00</updated><id>https://mdeluci.github.io/blog/2024/Solidification</id><content type="html" xml:base="https://mdeluci.github.io/blog/2024/Solidification/"><![CDATA[<h2 id="phase-field-equation-for-solidification-processes">Phase-field equation for solidification processes</h2> <p>Liquid-solid phase transformations usually refer to solidification and melting. The formation of complex microstructures during the solidification from a liquid phase, such as formation of snow flakes or metallic alloys, and the accompanying diffusion and convection processes in the liquid and solid have been widely studied in the literature <a class="citation" href="#boettinger2002phase">(Boettinger et al., 2002; Flemings, 1974; Kühn et al., 1986)</a>. In particular, the evolution of microstructural scale of dendrites during the solidification process determines many physical and mechanical properties of metals, since almost every metallic system originates from the liquid state.</p> <div class="container"> <div class="row justify-content-center mt-3"> <div class="col mt-3 mt-md-0 d-flex justify-content-center"> <div style="width: 90%;"> <figure> <video src="/assets/video/solidification.mp4" class="img-fluid rounded z-depth-1" width="auto" height="auto" autoplay="" controls=""/> </figure> </div> </div> </div> <div class="caption text-center"> Crystal growth from a square-shaped seed located in an undercooled region. Phase-field (top row). Temperature (bottom row) </div> </div> <p>A phase-field formulation that describes the solidification process is as follows: \begin{equation} \frac{\partial \phi}{\partial t} = \Delta \phi - \frac{W’(\phi)}{\epsilon^2} + \frac{\rho H}{\sqrt{2\sigma}} \frac{\theta - \theta_m}{\theta_m} G’(\phi) \label{1} \end{equation} \begin{equation} \rho C_v \frac{\partial \theta}{\partial t} + L \phi’ \frac{\partial \phi}{\partial t} = \nabla \cdot (k(\phi) \nabla \theta) \label{2} \end{equation}</p> <p>where \(\phi \in [-1,1]\) represents the phase-field variable, which describes the location of different components (e.g., \(\phi = -1\) in the solid and \(\phi = 1\) in the liquid), \(\theta\) is the temperature, \(\theta_m\) is the melting temperature, \(H\) represents the interfacial enthalpy per unit mass, \(\omega\) is the kinetic undercooling coefficient, \(C_v\) is the heat capacity per unit mass, \(\rho\) is the density, \(l\) is specific latent heat (energy per unit mass), \(k\) is the thermal conductivity, \(\sigma\) is the surface tension and \(h\) is an interpolatory function that verifies \(h(+1) = 1, h(-1) = 0\), e.g., \(h = \frac{1}{2} (1 + \phi)\). The thermal conductivity is considered to be a function of the phase-field to account for different conductivity in the solid and liquid phases. We take \(k(\phi) = (1 + \phi) k_s + (1 - \phi) k_l\), which satisfies that \(k(+1) = k_s\), \(k(-1) = k_l\). The function \(W(\phi)\), also referred to as the double-well potential, is defined such that it has two local minima, which makes possible the coexistence of the different phases. Some important examples of double well functions can be found in <a class="citation" href="#gomez2017computational">(Gomez &amp; van der Zee, 2017)</a>. In this work we will take the classical quartic potential \(W(\phi) = \frac{1}{4} (1 - \phi^2)^2\). The function \(G(\phi)\) vanishes in the pure phases. Depending on the form of the functional \(G(\phi)\), the phase-field will converge faster or slower to the generalized Stefan problem. Here we will use the expression \(G(\phi) = (1 - \phi^2)^2\). One key aspect to achieve good agreement with the reality of interest behind dendritic solidification is surface tension anisotropy. Herein, we introduce anisotropy by assuming that \(\sigma\) depends on the unit normal to the liquid-solid interface, this is,</p> <p>\begin{equation} \sigma = \sigma_0(1 + \delta \cos(\alpha - \alpha_0)), \end{equation}</p> <p>where \(\bar{\sigma}\) is the mean value of \(\sigma\), \(\delta\) is the strenght of the anisotropy, \(q\) is the mode number of anisotropy, and \(\alpha\) is the initial offset angle. The angle of the normal to the surface, \(\alpha\), is defined from the phase-field as</p> <p>\begin{equation} \alpha = \arctan\left(\frac{\partial \phi / \partial y}{\partial \phi/ \partial x}\right). \end{equation}</p> <h2 id="weak-form">Weak form</h2> <p>The strong form of our model defined by Eqs. \eqref{1} and Eqn.\eqref{2} is now cast in weak form and discretized using the Galerkin approach. Let us define the functional space \(V \subset H^1\), where \(H^1\) is the Sobolev space of square-integrable functions with square-integrable first derivative in the domain \(\Omega\). To perform space discretization we introduce the finite-dimensional space \(V_h \subset V\), where \(V_h = \text{span} \{ N_A \}_{A=1}^{n_f}\), and \(n_f\) is the number of functions on the basis. The space of weighting functions will also be \(V_h\), giving rise to a Galerkin formulation. We define discrete approximations to the problem’s solution denoted by \(\phi^h\) and \(\theta^h\). Their corresponding weighting functions are \(w_{\phi}^h\) and \(w_{\theta}^h\). Then, the variational formulation of Eqs. \eqref{1} and Eqn.\eqref{2} over the finite-dimensional space \(V_h\) can be stated as follows: find \(U_h = \{\phi^h, \theta^h\} \in V_h \subset V\)</p> <p>such that \(\forall W_h = \{w_{\phi}^h, w_{\theta}^h\} \in V_h \subset V\), \begin{equation} \int_{\Omega} w_{\phi}^h \frac{\partial \phi^h}{\partial t} \, d\Omega + \int_{\Omega} w_{\phi}^h \frac{W’(\phi^h)}{\epsilon^2} \, d\Omega + \int_{\Omega} \nabla w_{\phi}^h \cdot \nabla \phi^h \, d\Omega + \int_{\Omega} w_{\phi}^h \frac{\rho H}{\sqrt{2 \sigma}} \left( \frac{G’(\phi^h) (\theta^h - \theta_m)}{\theta_m} \right) \, d\Omega =0, \end{equation}</p> <p>\begin{equation} \int_{\Omega} w_{\theta}^h \rho C_v \frac{\partial \theta^h}{\partial t} \, d\Omega - \int_{\Omega} w_{\theta}^h L \phi’(\phi^h) \frac{\partial \phi^h}{\partial t} \, d\Omega + \int_{\Omega} \nabla w_{\theta}^h \cdot k(\phi^h) \nabla \theta^h \, d\Omega=0. \end{equation}</p> <p>The solutions \(\phi^h\) and \(\theta^h\) are defined as \begin{equation} \phi^h(x,t) = \sum_{A=1}^{n_f} \phi_A(t) N_A(x), \end{equation} \begin{equation} \theta^h(x,t) = \sum_{A=1}^{n_f} \theta_A(t) N_A(x). \end{equation}</p> <h2 id="results">Results</h2> <p>Our computational domain is the square \(\Omega= \left[0,0.1 \right] \times \left[0,0.1 \right]\), where the units are in cm. We employ a computational mesh comprised of $512^2$ \(\mathcal{C}^1\)-quadratic elements. We impose periodic boundary conditions for \(\phi\) and \(\theta\). We choose a suitable time step of \(\Delta t = 10e-6\) s to ensure good numerical stability, specially at the beginning of the simulation. As an initial condition, we set a square-shaped seed located at the center of the domain. The reason for using a square-shaped crystal, instead of one with a smoother shape like a circle, is because the corners of the square will accelerate the formation of dendritic structures. The temperatures inside and outside the seed are 1700 K and 1500 K, respectively. The parameters used in all the simulations are summarized in <a class="citation" href="#gomez2019review">(Gomez et al., 2019)</a>. These parameters correspond to an Nickel-Copper alloy. In the following simulations, we will show the relations between the anisotropy modes and the shapes of crystals.</p> <p>The Figures below show the evolution of the phase-field variable and the temperature field over time for different values of \(q\). For all simulations nucleation starts at the center of the domain, and it triggers the solidification process. The phase change is achieved by undercooling the liquid phase below its melting temperature.</p> <p>In the first computation, perfect isotropic growth is considered, i.e. \(\sigma=\bar{\sigma}\) throughout the entire simulation. For this case we obtain symmetric dendritic patterns similar to those formed during viscous fingering. Tip splitting is observed as the crystal grows, producing new branches with tips that mantain a circular shape. For the anisotropic case with \(q = 4\), we see features of both the isotropic case and the dendritic structure. The dendritic structure is present in the formation of the principal branches, which are four in this case due to the anisotropy mode chosen. The isotropic features are observed in the viscous finger-like structures that emanate from the principal branches. The overall look of the pattern is symmetric, even though we are considering surface tension anisotropy. When we increase the anisotropy mode number to \(q = 6\), we get a completely asymmetric pattern. We can observe six main branches and four secondary branches. For \(q = 8\) we get the typical snowflake-like pattern with a non-symmetric side branching. In general, dendrites whose preferred direction is inclined with respect to the thermal gradient grow faster in order to maintain their relative tip positions during the splitting. These tips of the inclined dendrites lie slightly behind those of well aligned dendrites. We can say that there is a growth competition among the different dendrites, which results in a natural selection of the grains that grow with a smaller angle with respect to the temperature</p> <div class="row mt-3"> <div class="col-sm mt-3 mt-md-0"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/sol_1-480.webp 480w,/assets/img/sol_1-800.webp 800w,/assets/img/sol_1-1400.webp 1400w," sizes="95vw" type="image/webp"/> <img src="/assets/img/sol_1.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"/> </picture> </figure> </div> <div class="col-sm mt-3 mt-md-0"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/sol_2-480.webp 480w,/assets/img/sol_2-800.webp 800w,/assets/img/sol_2-1400.webp 1400w," sizes="95vw" type="image/webp"/> <img src="/assets/img/sol_2.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"/> </picture> </figure> </div> </div> <div class="caption"> Crystal growth from a square-shaped seed located in an undercooled region. Here we show the time evolution of dendritic solidification for different mode numbers of anisotropy. Time evolution of the temperature field from the initial square-shaped seed for different mode numbers of anisotropy. </div> <h2 id="conclusions">Conclusions</h2> <p>We presented a numerical methodology to solve a phase-field model of dendritic solidification with surface tension anisotropy on a two-dimensional domain. Our computational method is based on isogeometric analysis, which allows us to generate the \(\mathcal{C}^1\)-continuous functions required to solve this equation in a variational framework. Time discretazion is performed using the generalized \(\alpha\)-method, which provides second order accuracy and \(A\)-stability. We analyzed the evolution of the phase-field variable and the temperature field over time for different anisotropy mode numbers. Our results show that symmetric dendritic finger patterns can form in the presence of anisotropy.</p> <h2 id="references">References</h2> <ol class="bibliography"><li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="boettinger2002phase" class="col-sm-8"> <div class="title"><a href="https://doi.org/10.1146/annurev.matsci.32.101901.155803">Phase-field simulation of solidification</a></div> <div class="author"> W. J. Boettinger,&nbsp;J. A. Warren,&nbsp;C. Beckermann,&nbsp;and&nbsp;A. Karma </div> <div class="periodical"> <em>Annual Review of Materials Research</em>, 2002 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="flemings1974solidification" class="col-sm-8"> <div class="title"><a href="">Solidification processing</a></div> <div class="author"> M. C. Flemings </div> <div class="periodical"> <em>Metallurgical Transactions</em>, 1974 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="kuhn1986fundamentals" class="col-sm-8"> <div class="title"><a href="">Fundamentals of solidification</a></div> <div class="author"> G. Kühn,&nbsp;W. Kurz,&nbsp;and&nbsp;D. J. Fisher </div> <div class="periodical"> <em>Crystal Research and Technology</em>, 1986 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="gomez2017computational" class="col-sm-8"> <div class="title"><a href="">Computational Phase-Field Modeling</a></div> <div class="author"> H. Gomez,&nbsp;and&nbsp;K. G. Zee </div> <div class="periodical"> <em>In Encyclopedia of Computational Mechanics Second Edition</em> , 2017 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="gomez2019review" class="col-sm-8"> <div class="title"><a href="">A review on computational modelling of phase-transition problems</a></div> <div class="author"> H. Gomez,&nbsp;M. Bures,&nbsp;and&nbsp;A. Moure </div> <div class="periodical"> <em>Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences</em>, 2019 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li></ol>]]></content><author><name></name></author><category term="Projects"/><category term="Phase-field"/><category term="PDEs"/><category term="IGA"/><summary type="html"><![CDATA[we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.]]></summary></entry><entry><title type="html">Solving the Cahn-Hilliard equation on complex geometries</title><link href="https://mdeluci.github.io/blog/2024/CahnHilliard/" rel="alternate" type="text/html" title="Solving the Cahn-Hilliard equation on complex geometries"/><published>2024-06-19T06:52:00+00:00</published><updated>2024-06-19T06:52:00+00:00</updated><id>https://mdeluci.github.io/blog/2024/CahnHilliard</id><content type="html" xml:base="https://mdeluci.github.io/blog/2024/CahnHilliard/"><![CDATA[<h2 id="the-cahn-hilliard-equation">The Cahn-Hilliard equation</h2> <p>The Cahn–Hilliard equation describes the process of phase separation, by which the two components of a binary fluid spontaneously separate and form domains pure in each component. It was originally proposed in 1958 to model phase separation in binary alloys <a class="citation" href="#Cahn-Hilliard">(Cahn &amp; Hilliard, 1958; Cahn, 1959)</a>. Since then it has been used to describe various phenomena, such as spinodal decomposition <a class="citation" href="#MARALDI201231">(Maraldi et al., 2012)</a>, diblock copolymer <a class="citation" href="#Choksi">(Choksi et al., 2009)</a>, image inpainting, tumor growth simulation <a class="citation" href="#tumor">(Hilhorst et al., 2015)</a> or multiphase fluid flows <a class="citation" href="#BADALASSI2003371">(Badalassi et al., 2003)</a>.</p> <div class="container"> <div class="row justify-content-center mt-3"> <div class="col mt-3 mt-md-0 d-flex justify-content-center"> <div style="width: 90%;"> <figure> <video src="/assets/video/ch.mp4" class="img-fluid rounded z-depth-1" width="auto" height="auto" autoplay="" controls=""/> </figure> </div> </div> </div> <div class="caption text-center"> Solution of the Cahn-Hilliard equation on a quarter of anulus from a randomly perturbed initial condition. </div> </div> <p>There are two main approaches to describing phase transition phenomena: sharp-interface models and phase-field models. Sharp-interface models involve the resolution of a moving boundary problem, meaning that partial differential equations have to be solved for each phase. This can lead to physical <a class="citation" href="#Anderson">(Anderson et al., 1998)</a> and computational complications (missing reference), such as jump discontinuities across the interface. Phase-field models replace sharp-interfaces by thin transitions regions where the interfacial forces are smoothly distributed (diffuse interfaces). For this reason, phase-field models are also referred to as \emph{diffuse interface} models, and they are emerging as a promising tool to treat problems with interfaces.</p> <p>From the mathematical point of view, the Cahn-Hilliard equation is a stiff, fourth-order, nonlinear parabolic partial differential equation. The elementary form of the Cahn-Hilliard equation is given by</p> <p>\begin{equation} \frac{\partial \phi}{\partial t}=\nabla \cdot \left(m\left(\phi\right) \nabla \left(W’\left(\phi\right) -\epsilon ^2 \Delta \phi \right) \right) \label{element} \end{equation}</p> <p>where \(\phi\left(\mathbf{x},t\right) \in [-1,1]\) represents the phase-field variable, which describes the location of different components (e.g., \(\phi=-1\) in oil and \(\phi=1\) in water), \(m\left(\phi\right)\) is the mobility, \(W\left(\phi\right)\) is the so-called double-well potential, and \(\epsilon\) is a length scale related to the thickness of the diffuse interface.</p> <p>Two different approaches have been used to solve the Cahn-Hilliard equation: solving the original form given by Eqn.\eqref{element}, which involves fourth-order operators, or by splitting it into two second order partial differential equations by introducing an auxiliary variable — the chemical potential \(\mu\). The split version of the equation is given by</p> <p>\begin{equation} \frac{\partial \phi}{\partial t}=\nabla \cdot \left(m\left(\phi\right) \nabla \mu \right) \label{split1} \end{equation} \begin{equation} \mu=W’\left(\phi \right) - \epsilon^2 \Delta \phi. \label{chempot} \end{equation}</p> <p>The splitting strategy was proposed by Elliot <a class="citation" href="#Elliott1989ASO">(Elliott et al., 1989)</a> to avoid constraints related to the continuity of the basis functions when using the finite element method with a primal formulation. It also facilitates the imposition of the boundary conditions on a circular geometry, which is the case we are interested in. Unfortunately, this comes at a price of an additional degree of freedom introduced into the solver. Nevertheless, this reformulation reduces the complexity of the problem from the numerical point of view (see <a class="citation" href="#Zee">(van der Zee et al., 2011)</a>).</p> <p>The spatial discretization of the governing equations is performed using isogeometric analysis (IGA). IGA is a generalization of the finite-element method that uses non-uniform rational B-splines (NURBS) to define the discrete spaces. A significant advantage of IGA with respect to finite element analysis is that the basis functions can be constructed with controllable continuity across the element boundaries, even on mapped geometries. The higher-order global continuity of the basis functions has been shown to produce higher accuracy than classical \(\mathcal{C}^0\)-continuous finite elements for the same number of degrees of freedom; and has been widely used to solve partial differential equations with high-order spatial derivatives <a class="citation" href="#GOMEZ20084333">(Gomez et al., 2008; Gomez et al., 2010; Gomez &amp; Nogueira, 2012)</a>. Here, we will use \(\mathcal{C}^1\)-continuous quadratic splines for \(\phi\) and \(\mu\).</p> <h2 id="strong-form">Strong form</h2> <p>The strong form of the problem is formulated as follows: find \(\phi:\Omega \times \left[0,T\right]\rightarrow \mathbb{R}\) and \(\mu:\Omega \times \left[0,T\right]\rightarrow \mathbb{R}\) (being \(\mu\) an auxiliary variable) such that:</p> <p>\begin{equation} \frac{\partial \phi}{\partial t}=\nabla \cdot \left(m\left(\phi\right) \nabla \mu\right) \quad \text{in} \ \Omega \times \left[0,T\right], \label{st1} \end{equation} <br/> \begin{equation} \mu=W’\left(\phi\right)-\epsilon^2 \Delta \phi \quad \text{in} \ \Omega \times \left[0,T\right], \label{st2} \end{equation} \begin{equation} \phi=g \quad \text{on} \ \Gamma_g \times \left[0,T\right], \label{st3} \end{equation} \begin{equation} <br/> m\left(\phi\right)\epsilon^2\Delta\phi=q \quad \text{on} \ \Gamma_q \times \left[0,T\right], \label{st4} \end{equation} \begin{equation} \nabla\left(m\left(\phi\right)\mu\right)\cdot \mathbf{n}=s \quad \text{on} \ \Gamma_s \times \left[0,T\right], \label{st5} \end{equation} \begin{equation} \nabla\left(m\left(\phi\right)\phi\right)\cdot \mathbf{n}=h \quad \text{on} \ \Gamma_h \times \left[0,T\right], \label{st6}<br/> \end{equation} \begin{equation} \phi\left(\mathbf{x},0\right)=\phi_0\left(\mathbf{x}\right) \quad \text{in} \ \Omega. \label{st7}<br/> \end{equation}</p> <p>The double well function \(W\left(\phi\right)\) is defined such that it has two local minima, which makes possible the coexistence of the different phases. Some important examples of double well functions can be found in <a class="citation" href="#Gomez2">(Gomez &amp; van der Zee, 2017)</a>. In this work we will take the classical quartic potential</p> <p>\begin{equation} W\left(\phi\right)=\frac{1}{4}\left(1-\phi^2\right)^2, \end{equation}</p> <p>which is a qualitative approximation of the logarithmic double well.</p> <p>The mobility \(m\left(\phi\right)\), which can be linked with the diffusivity, controls the time scale of the problem. The most common approach is to set it as a constant, \(m\left(\phi\right)=m\). Such an approach is extensively applied in both analytical and numerical studies. We will take \(m\) constant and equal to one as recommended in <a class="citation" href="#GOMEZ20084333">(Gomez et al., 2008)</a>.</p> <p>The parameter \(\epsilon\) is a positive constant that defines the length scale for the problem. According to <a class="citation" href="#GOMEZ20084333">(Gomez et al., 2008)</a>, the solution to the Cahn-Hilliard equations depends only on the dimensionless number</p> <p>\begin{equation} \alpha=\frac{L_0^2}{3\epsilon^2}, \end{equation}</p> <p>also referred to as sharpness parameter, where \(L_0\) is a length scale of the problem. Here, we will assume that \(L_0\) is a measure of the computational domain size. Without loss of generality, \(L_0=R_2=1.0\) will be the outer radius of the quarter of annulus. The sharpness parameter \(\alpha\) usually takes values in the range \(10^3-10^4\). We will study the evolution of the phase-field variable for different values of \(\alpha\).</p> <h2 id="weak-form">Weak form</h2> <p>The strong form of our model defined by Eqns. \eqref{st1}–\eqref{st7} is now cast in weak form and discretized using the Galerkin approach. We will only work with free-flux boundary conditions. Thus, all boundary integrals will vanish in the weak form. Let us define the functional space \(\mathcal{V} \subset \mathcal{H}^1\), where \(\mathcal{H}^1\) is the Sobolev space of square-integrable functions with square-integrable first derivative in the domain \(\Omega\). To perform space discretization we introduce the finite-dimensional space \(\mathcal{V}^h\subset \mathcal{V}\), where \(\mathcal{V}^h ={\rm span}\left \{ N_A \right \}_{A=1,\dots,n_f}\) and \(n_f\) is the number of functions on the basis. The space of weighting functions will also be \(\mathcal{V}^h\), giving rise to a Galerkin formulation. We define discrete approximations to the problem’s solution denoted by \(\phi^h\) and \(\mu^h\). Their corresponding weighting functions are \(w_{\phi}^h\) and \(w_{\mu}^h\). Then, the variational formulation of Eqns. \eqref{st1}–\eqref{st7} over the finite-dimensional space \(\mathcal{V}^h\) can be stated as follows: find \(\phi^h\), \(\mu^h\) \(\in \mathcal{V}^h\subset \mathcal{V}\) such that \(\forall\) \(w_{\phi}^h\), \(w_{\mu}^h\) \(\in \mathcal{V}^h \subset \mathcal{V}\)</p> <p>\begin{equation} \int_{\Omega}w_{\phi}^h\frac{\partial\phi}{\partial t}d\Omega +\int_{\Omega}m\nabla w_{\phi}^h \cdot \nabla \mu^h d\Omega =0, \label{wf1} \end{equation} \begin{equation} \int_{\Omega}w_{\mu}^h \mu^h d\Omega - \int_{\Omega}w_{\mu}^h \phi^h \left( \left(\phi^h \right)^2-1 \right)d\Omega- \int_{\Omega} \epsilon^2 \nabla \phi^h \cdot \nabla w_{\mu}^h d\Omega= 0. \end{equation}</p> <p>The solutions \(\phi^h\) and \(\mu^h\) are defined as \begin{equation} \phi^h(\mathbf{x},t)=\sum_{A=1}^{n_f}\phi_A\left ( t \right )N_A\left ( \mathbf{x} \right ), \end{equation} \begin{equation} \mu^h(\mathbf{x},t)=\sum_{A=1}^{n_f}\mu_A\left ( t \right )N_A\left ( \mathbf{x} \right ). \end{equation}</p> <h2 id="results">Results</h2> <p>We consider the split form of the Cahn-Hilliard equation on an open quarter-annulus domain \begin{equation} \Omega = { (x,y) \in \mathbb{R}^2 : x &gt; 0, y &gt; 0, R_1^2 &lt; x^2 + y^2 &lt; R_2^2 }, \end{equation} with inner radius \(R_1=0.5\) and outer radius \(R_2=1\). We employ a computational mesh comprised of \(128^2\) \(\mathcal{C}^1\)-quadratic elements; see the figure below.</p> <div class="container"> <div class="row justify-content-center mt-3"> <div class="col mt-3 mt-md-0 d-flex justify-content-center"> <div style="width: 50%;"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/mesh-480.webp 480w,/assets/img/mesh-800.webp 800w,/assets/img/mesh-1400.webp 1400w," sizes="95vw" type="image/webp"/> <img src="/assets/img/mesh.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"/> </picture> </figure> </div> </div> </div> <div class="caption text-center"> Geometry definition and mesh used for the calculations. The circular inset shows a detail of the mesh. </div> </div> <p>The usual setup for numerical simulations of the Cahn-Hilliard equation is as follows: a randomly perturbed homogeneous solution is allowed to evolve in a sufficiently large computational domain with periodic boundary conditions. Periodic boundary conditions would make no sense in our case, since we are not considering a square domain. Instead, we prescribe free-flux boundary conditions on the entire domain for \(\phi\) and \(\mu\). The initial condition is given by \begin{equation} \phi_0\left(\mathbf{x}\right)=\bar{\phi}+r, \end{equation} where \(\bar{\phi}\) is a constant (referred to as the volume fraction) and \(r\) is a random variable with uniform distribution in \([-0.05,0.05]\).</p> <p>With this numerical setup we present two test cases which are defined by the sharpness parameter \(\alpha\) and the volume fraction \(\bar{\phi}\). We take \(\alpha=1500\), \(\bar{\phi}=0.3\) for the first case, and \(\alpha=3000\), \(\bar{\phi}=0.1\) for the second case.</p> <p>The left figure below shows snapshots of the solution at different times for \(\alpha=1500\) and \(\bar{\phi}=0.3\). We observe two main processes that take place at very different time scales: phase separation and coarsening. The Cahn-Hilliard equation is unstable under random perturbations within the spinodal region, and, thus, two phases will develop. Phase separation takes place at \(t\approx 0.01\) s. The concentration is driven to the binodal points in a very fast process. After the phase separation, the coarsening process starts. During the coarsening process, bubbles merge with each other to reduce the surface energy, acquiring a circular shape. This process finishes when there are only two regions occupied by the two components of the mixture and they achieve the equilibrium topology. This is occurs at the steady state (data not shown).</p> <blockquote> <p>Note: Spinodal decomposition occurs when one thermodynamic phase spontaneusly (i.e., without nucleation) separates into two phases. The spinodal region is the region of the phase diagram where this occurs.</p> </blockquote> <p>The right figure below shows snapshots of the solution at different times for \(\alpha=1500\) and \(\bar{\phi}=0.3\). This test case is more challenging than the previous one, since the parameter \(\alpha\) is larger, and, thus, the interfaces are thinner. The parameter \(\alpha\) not only affects the thickness of the interface but also modifies the time scale of the problem. The separation process is faster for \(\alpha=3000\) than for \(\alpha=1500\). Phase separation in this case takes place at the beginning of the simulation. On the other hand, the coarsening process is slower. The bubbles start acquiring the equilibrium topology, that is, a circular shape, later in time compared to the previous example. The initial volume fraction \(\bar{\phi}\) plays an important role in the topology of the solution. The topology of the solution for \(\bar{\phi}=0.1\) shows a more connected pattern than that of the solution for \(\bar{\phi}=0.3\). In contrast to the case defined by \(\bar{\phi}=0.3\), for \(\bar{\phi}=0.1\) there is no nucleation, and the coarsening process is more continuous over the simulation.</p> <div class="row mt-3"> <div class="col-sm mt-3 mt-md-0"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/fig2_ch-480.webp 480w,/assets/img/fig2_ch-800.webp 800w,/assets/img/fig2_ch-1400.webp 1400w," sizes="95vw" type="image/webp"/> <img src="/assets/img/fig2_ch.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"/> </picture> </figure> </div> <div class="col-sm mt-3 mt-md-0"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/fig3_ch-480.webp 480w,/assets/img/fig3_ch-800.webp 800w,/assets/img/fig3_ch-1400.webp 1400w," sizes="95vw" type="image/webp"/> <img src="/assets/img/fig3_ch.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"/> </picture> </figure> </div> </div> <div class="caption"> Evolution of the phase-field from a randomly perturbed initial condition. Left and right show the snapshots over time for different initial conditions. </div> <h2 id="conclusions">Conclusions</h2> <p>We presented a numerical methodology to solve the Cahn-Hilliard equation on a quarter-annulus domain. Our computational method is based on isogeometric analysis, which allows us to generate the \(\mathcal{C}^1\)-continuous functions required to solve this equation in a variational framework. We adopt the split form of the equation to reduce its order, and facilitate the imposition of the boundary conditions on the circular geometry. Time discretazion is performed using the generalized \(\alpha\)-methods, which provides second order accuracy and \(A\)-stability. We analyzed the solution over time for different values of \(\alpha\) and \(\bar{\phi}\). The parameter \(\alpha\) affects the thickness of the interface and the time scale of the problem. As we increased \(\alpha\), the separation process was faster, and the thickness of the interface became thinner. The initial volume fraction \(\bar{\phi}\) modifies the topology of the solution. Smaller values of \(\bar{\phi}\) produce more continuous patterns without nucleation.</p> <h2 id="references">References</h2> <ol class="bibliography"><li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Cahn-Hilliard" class="col-sm-8"> <div class="title"><a href="">Free Energy of a Nonuniform System. I. Interfacial Free Energy</a></div> <div class="author"> John W. Cahn,&nbsp;and&nbsp;John E. Hilliard </div> <div class="periodical"> <em>The Journal of Chemical Physics</em>, 1958 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Cahn-Hilliard2" class="col-sm-8"> <div class="title"><a href=" https://doi.org/10.1063/1.1730145 ">Free Energy of a Nonuniform System. II. Thermodynamic Basis</a></div> <div class="author"> John W. Cahn </div> <div class="periodical"> <em>The Journal of Chemical Physics</em>, 1959 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="MARALDI201231" class="col-sm-8"> <div class="title"><a href="http://www.sciencedirect.com/science/article/pii/S0020722511001832">A unified thermodynamic framework for the modelling of diffusive and displacive phase transitions</a></div> <div class="author"> M. Maraldi,&nbsp;L. Molari,&nbsp;and&nbsp;D. Grandi </div> <div class="periodical"> <em>International Journal of Engineering Science</em>, 2012 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Choksi" class="col-sm-8"> <div class="title"><a href=" https://doi.org/10.1137/080728809 ">On the Phase Diagram for Microphase Separation of Diblock Copolymers: An Approach via a Nonlocal Cahn–Hilliard Functional</a></div> <div class="author"> Rustum Choksi,&nbsp;Mark A. Peletier,&nbsp;and&nbsp;J. F. Williams </div> <div class="periodical"> <em>SIAM Journal on Applied Mathematics</em>, 2009 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="tumor" class="col-sm-8"> <div class="title"><a href=" https://doi.org/10.1142/S0218202515500268 ">Formal asymptotic limit of a diffuse-interface tumor-growth model</a></div> <div class="author"> Danielle Hilhorst,&nbsp;Johannes Kampmann,&nbsp;Thanh Nam Nguyen,&nbsp;and&nbsp;Kristoffer George Van Der Zee </div> <div class="periodical"> <em>Mathematical Models and Methods in Applied Sciences</em>, 2015 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="BADALASSI2003371" class="col-sm-8"> <div class="title"><a href="http://www.sciencedirect.com/science/article/pii/S0021999103002808">Computation of multiphase systems with phase field models</a></div> <div class="author"> V.E. Badalassi,&nbsp;H.D. Ceniceros,&nbsp;and&nbsp;S. Banerjee </div> <div class="periodical"> <em>Journal of Computational Physics</em>, 2003 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Anderson" class="col-sm-8"> <div class="title"><a href=" https://doi.org/10.1146/annurev.fluid.30.1.139 ">DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS</a></div> <div class="author"> D. M. Anderson,&nbsp;G. B. McFadden,&nbsp;and&nbsp;A. A. Wheeler </div> <div class="periodical"> <em>Annual Review of Fluid Mechanics</em>, 1998 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Elliott1989ASO" class="col-sm-8"> <div class="title"><a href="">A second order splitting method for the Cahn-Hilliard equation</a></div> <div class="author"> C. M. Elliott,&nbsp;D. French,&nbsp;and&nbsp;F. Milner </div> <div class="periodical"> <em>Numerische Mathematik</em>, 1989 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Zee" class="col-sm-8"> <div class="title"><a href="https://onlinelibrary.wiley.com/doi/abs/10.1002/num.20638">Goal-oriented error estimation for Cahn–Hilliard models of binary phase transition</a></div> <div class="author"> Kristoffer G. Zee,&nbsp;J. Tinsley Oden,&nbsp;Serge Prudhomme,&nbsp;and&nbsp;Andrea Hawkins-Daarud </div> <div class="periodical"> <em>Numerical Methods for Partial Differential Equations</em>, 2011 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="GOMEZ20084333" class="col-sm-8"> <div class="title"><a href="">Isogeometric analysis of the Cahn–Hilliard phase-field model</a></div> <div class="author"> Hector Gomez,&nbsp;Victor M. Calo,&nbsp;Yuri Bazilevs,&nbsp;and&nbsp;Thomas J.R. Hughes </div> <div class="periodical"> <em>Computer Methods in Applied Mechanics and Engineering</em>, 2008 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="GOMEZ20101828" class="col-sm-8"> <div class="title"><a href="">Isogeometric analysis of the isothermal Navier–Stokes–Korteweg equations</a></div> <div class="author"> Hector Gomez,&nbsp;Thomas J.R. Hughes,&nbsp;Xesús Nogueira,&nbsp;and&nbsp;Victor M. Calo </div> <div class="periodical"> <em>Computer Methods in Applied Mechanics and Engineering</em>, 2010 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="GOMEZ201252" class="col-sm-8"> <div class="title"><a href="">An unconditionally energy-stable method for the phase field crystal equation</a></div> <div class="author"> Hector Gomez,&nbsp;and&nbsp;Xesús Nogueira </div> <div class="periodical"> <em>Computer Methods in Applied Mechanics and Engineering</em>, 2012 </div> <div class="periodical"> Higher Order Finite Element and Isogeometric Methods </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Gomez2" class="col-sm-8"> <div class="title"><a href="">Computational Phase-Field Modeling</a></div> <div class="author"> Hector Gomez,&nbsp;and&nbsp;Kristoffer G. Zee </div> <div class="periodical"> 2017 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li></ol>]]></content><author><name></name></author><category term="Projects"/><category term="Cahn-Hilliard"/><category term="PDEs"/><category term="IGA"/><summary type="html"><![CDATA[We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,]]></summary></entry></feed>
\ No newline at end of file
+<?xml version="1.0" encoding="utf-8"?><feed xmlns="http://www.w3.org/2005/Atom" xml:lang="en"><generator uri="https://jekyllrb.com/" version="4.3.3">Jekyll</generator><link href="https://mdeluci.github.io/feed.xml" rel="self" type="application/atom+xml"/><link href="https://mdeluci.github.io/" rel="alternate" type="text/html" hreflang="en"/><updated>2024-12-12T15:29:03+00:00</updated><id>https://mdeluci.github.io/feed.xml</id><title type="html">Mario de Lucio’s website</title><subtitle>Mario de Lucio&apos;s website </subtitle><entry><title type="html">Phase-field Modeling of Dendritic Solidification</title><link href="https://mdeluci.github.io/blog/2024/Solidification/" rel="alternate" type="text/html" title="Phase-field Modeling of Dendritic Solidification"/><published>2024-06-20T06:52:00+00:00</published><updated>2024-06-20T06:52:00+00:00</updated><id>https://mdeluci.github.io/blog/2024/Solidification</id><content type="html" xml:base="https://mdeluci.github.io/blog/2024/Solidification/"><![CDATA[<h2 id="phase-field-equation-for-solidification-processes">Phase-field equation for solidification processes</h2> <p>Liquid-solid phase transformations usually refer to solidification and melting. The formation of complex microstructures during the solidification from a liquid phase, such as formation of snow flakes or metallic alloys, and the accompanying diffusion and convection processes in the liquid and solid have been widely studied in the literature <a class="citation" href="#boettinger2002phase">(Boettinger et al., 2002; Flemings, 1974; Kühn et al., 1986)</a>. In particular, the evolution of microstructural scale of dendrites during the solidification process determines many physical and mechanical properties of metals, since almost every metallic system originates from the liquid state.</p> <div class="container"> <div class="row justify-content-center mt-3"> <div class="col mt-3 mt-md-0 d-flex justify-content-center"> <div style="width: 90%;"> <figure> <video src="/assets/video/solidification.mp4" class="img-fluid rounded z-depth-1" width="auto" height="auto" autoplay="" controls=""/> </figure> </div> </div> </div> <div class="caption text-center"> Crystal growth from a square-shaped seed located in an undercooled region. Phase-field (top row). Temperature (bottom row) </div> </div> <p>A phase-field formulation that describes the solidification process is as follows: \begin{equation} \frac{\partial \phi}{\partial t} = \Delta \phi - \frac{W’(\phi)}{\epsilon^2} + \frac{\rho H}{\sqrt{2\sigma}} \frac{\theta - \theta_m}{\theta_m} G’(\phi) \label{1} \end{equation} \begin{equation} \rho C_v \frac{\partial \theta}{\partial t} + L \phi’ \frac{\partial \phi}{\partial t} = \nabla \cdot (k(\phi) \nabla \theta) \label{2} \end{equation}</p> <p>where \(\phi \in [-1,1]\) represents the phase-field variable, which describes the location of different components (e.g., \(\phi = -1\) in the solid and \(\phi = 1\) in the liquid), \(\theta\) is the temperature, \(\theta_m\) is the melting temperature, \(H\) represents the interfacial enthalpy per unit mass, \(\omega\) is the kinetic undercooling coefficient, \(C_v\) is the heat capacity per unit mass, \(\rho\) is the density, \(l\) is specific latent heat (energy per unit mass), \(k\) is the thermal conductivity, \(\sigma\) is the surface tension and \(h\) is an interpolatory function that verifies \(h(+1) = 1, h(-1) = 0\), e.g., \(h = \frac{1}{2} (1 + \phi)\). The thermal conductivity is considered to be a function of the phase-field to account for different conductivity in the solid and liquid phases. We take \(k(\phi) = (1 + \phi) k_s + (1 - \phi) k_l\), which satisfies that \(k(+1) = k_s\), \(k(-1) = k_l\). The function \(W(\phi)\), also referred to as the double-well potential, is defined such that it has two local minima, which makes possible the coexistence of the different phases. Some important examples of double well functions can be found in <a class="citation" href="#gomez2017computational">(Gomez &amp; van der Zee, 2017)</a>. In this work we will take the classical quartic potential \(W(\phi) = \frac{1}{4} (1 - \phi^2)^2\). The function \(G(\phi)\) vanishes in the pure phases. Depending on the form of the functional \(G(\phi)\), the phase-field will converge faster or slower to the generalized Stefan problem. Here we will use the expression \(G(\phi) = (1 - \phi^2)^2\). One key aspect to achieve good agreement with the reality of interest behind dendritic solidification is surface tension anisotropy. Herein, we introduce anisotropy by assuming that \(\sigma\) depends on the unit normal to the liquid-solid interface, this is,</p> <p>\begin{equation} \sigma = \sigma_0(1 + \delta \cos(\alpha - \alpha_0)), \end{equation}</p> <p>where \(\bar{\sigma}\) is the mean value of \(\sigma\), \(\delta\) is the strenght of the anisotropy, \(q\) is the mode number of anisotropy, and \(\alpha\) is the initial offset angle. The angle of the normal to the surface, \(\alpha\), is defined from the phase-field as</p> <p>\begin{equation} \alpha = \arctan\left(\frac{\partial \phi / \partial y}{\partial \phi/ \partial x}\right). \end{equation}</p> <h2 id="weak-form">Weak form</h2> <p>The strong form of our model defined by Eqs. \eqref{1} and Eqn.\eqref{2} is now cast in weak form and discretized using the Galerkin approach. Let us define the functional space \(V \subset H^1\), where \(H^1\) is the Sobolev space of square-integrable functions with square-integrable first derivative in the domain \(\Omega\). To perform space discretization we introduce the finite-dimensional space \(V_h \subset V\), where \(V_h = \text{span} \{ N_A \}_{A=1}^{n_f}\), and \(n_f\) is the number of functions on the basis. The space of weighting functions will also be \(V_h\), giving rise to a Galerkin formulation. We define discrete approximations to the problem’s solution denoted by \(\phi^h\) and \(\theta^h\). Their corresponding weighting functions are \(w_{\phi}^h\) and \(w_{\theta}^h\). Then, the variational formulation of Eqs. \eqref{1} and Eqn.\eqref{2} over the finite-dimensional space \(V_h\) can be stated as follows: find \(U_h = \{\phi^h, \theta^h\} \in V_h \subset V\)</p> <p>such that \(\forall W_h = \{w_{\phi}^h, w_{\theta}^h\} \in V_h \subset V\), \begin{equation} \int_{\Omega} w_{\phi}^h \frac{\partial \phi^h}{\partial t} \, d\Omega + \int_{\Omega} w_{\phi}^h \frac{W’(\phi^h)}{\epsilon^2} \, d\Omega + \int_{\Omega} \nabla w_{\phi}^h \cdot \nabla \phi^h \, d\Omega + \int_{\Omega} w_{\phi}^h \frac{\rho H}{\sqrt{2 \sigma}} \left( \frac{G’(\phi^h) (\theta^h - \theta_m)}{\theta_m} \right) \, d\Omega =0, \end{equation}</p> <p>\begin{equation} \int_{\Omega} w_{\theta}^h \rho C_v \frac{\partial \theta^h}{\partial t} \, d\Omega - \int_{\Omega} w_{\theta}^h L \phi’(\phi^h) \frac{\partial \phi^h}{\partial t} \, d\Omega + \int_{\Omega} \nabla w_{\theta}^h \cdot k(\phi^h) \nabla \theta^h \, d\Omega=0. \end{equation}</p> <p>The solutions \(\phi^h\) and \(\theta^h\) are defined as \begin{equation} \phi^h(x,t) = \sum_{A=1}^{n_f} \phi_A(t) N_A(x), \end{equation} \begin{equation} \theta^h(x,t) = \sum_{A=1}^{n_f} \theta_A(t) N_A(x). \end{equation}</p> <h2 id="results">Results</h2> <p>Our computational domain is the square \(\Omega= \left[0,0.1 \right] \times \left[0,0.1 \right]\), where the units are in cm. We employ a computational mesh comprised of $512^2$ \(\mathcal{C}^1\)-quadratic elements. We impose periodic boundary conditions for \(\phi\) and \(\theta\). We choose a suitable time step of \(\Delta t = 10e-6\) s to ensure good numerical stability, specially at the beginning of the simulation. As an initial condition, we set a square-shaped seed located at the center of the domain. The reason for using a square-shaped crystal, instead of one with a smoother shape like a circle, is because the corners of the square will accelerate the formation of dendritic structures. The temperatures inside and outside the seed are 1700 K and 1500 K, respectively. The parameters used in all the simulations are summarized in <a class="citation" href="#gomez2019review">(Gomez et al., 2019)</a>. These parameters correspond to an Nickel-Copper alloy. In the following simulations, we will show the relations between the anisotropy modes and the shapes of crystals.</p> <p>The Figures below show the evolution of the phase-field variable and the temperature field over time for different values of \(q\). For all simulations nucleation starts at the center of the domain, and it triggers the solidification process. The phase change is achieved by undercooling the liquid phase below its melting temperature.</p> <p>In the first computation, perfect isotropic growth is considered, i.e. \(\sigma=\bar{\sigma}\) throughout the entire simulation. For this case we obtain symmetric dendritic patterns similar to those formed during viscous fingering. Tip splitting is observed as the crystal grows, producing new branches with tips that mantain a circular shape. For the anisotropic case with \(q = 4\), we see features of both the isotropic case and the dendritic structure. The dendritic structure is present in the formation of the principal branches, which are four in this case due to the anisotropy mode chosen. The isotropic features are observed in the viscous finger-like structures that emanate from the principal branches. The overall look of the pattern is symmetric, even though we are considering surface tension anisotropy. When we increase the anisotropy mode number to \(q = 6\), we get a completely asymmetric pattern. We can observe six main branches and four secondary branches. For \(q = 8\) we get the typical snowflake-like pattern with a non-symmetric side branching. In general, dendrites whose preferred direction is inclined with respect to the thermal gradient grow faster in order to maintain their relative tip positions during the splitting. These tips of the inclined dendrites lie slightly behind those of well aligned dendrites. We can say that there is a growth competition among the different dendrites, which results in a natural selection of the grains that grow with a smaller angle with respect to the temperature</p> <div class="row mt-3"> <div class="col-sm mt-3 mt-md-0"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/sol_1-480.webp 480w,/assets/img/sol_1-800.webp 800w,/assets/img/sol_1-1400.webp 1400w," sizes="95vw" type="image/webp"/> <img src="/assets/img/sol_1.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"/> </picture> </figure> </div> <div class="col-sm mt-3 mt-md-0"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/sol_2-480.webp 480w,/assets/img/sol_2-800.webp 800w,/assets/img/sol_2-1400.webp 1400w," sizes="95vw" type="image/webp"/> <img src="/assets/img/sol_2.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"/> </picture> </figure> </div> </div> <div class="caption"> Crystal growth from a square-shaped seed located in an undercooled region. Here we show the time evolution of dendritic solidification for different mode numbers of anisotropy. Time evolution of the temperature field from the initial square-shaped seed for different mode numbers of anisotropy. </div> <h2 id="conclusions">Conclusions</h2> <p>We presented a numerical methodology to solve a phase-field model of dendritic solidification with surface tension anisotropy on a two-dimensional domain. Our computational method is based on isogeometric analysis, which allows us to generate the \(\mathcal{C}^1\)-continuous functions required to solve this equation in a variational framework. Time discretazion is performed using the generalized \(\alpha\)-method, which provides second order accuracy and \(A\)-stability. We analyzed the evolution of the phase-field variable and the temperature field over time for different anisotropy mode numbers. Our results show that symmetric dendritic finger patterns can form in the presence of anisotropy.</p> <h2 id="references">References</h2> <ol class="bibliography"><li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="boettinger2002phase" class="col-sm-8"> <div class="title"><a href="https://doi.org/10.1146/annurev.matsci.32.101901.155803">Phase-field simulation of solidification</a></div> <div class="author"> W. J. Boettinger,&nbsp;J. A. Warren,&nbsp;C. Beckermann,&nbsp;and&nbsp;A. Karma </div> <div class="periodical"> <em>Annual Review of Materials Research</em>, 2002 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="flemings1974solidification" class="col-sm-8"> <div class="title"><a href="">Solidification processing</a></div> <div class="author"> M. C. Flemings </div> <div class="periodical"> <em>Metallurgical Transactions</em>, 1974 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="kuhn1986fundamentals" class="col-sm-8"> <div class="title"><a href="">Fundamentals of solidification</a></div> <div class="author"> G. Kühn,&nbsp;W. Kurz,&nbsp;and&nbsp;D. J. Fisher </div> <div class="periodical"> <em>Crystal Research and Technology</em>, 1986 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="gomez2017computational" class="col-sm-8"> <div class="title"><a href="">Computational Phase-Field Modeling</a></div> <div class="author"> H. Gomez,&nbsp;and&nbsp;K. G. Zee </div> <div class="periodical"> <em>In Encyclopedia of Computational Mechanics Second Edition</em> , 2017 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="gomez2019review" class="col-sm-8"> <div class="title"><a href="">A review on computational modelling of phase-transition problems</a></div> <div class="author"> H. Gomez,&nbsp;M. Bures,&nbsp;and&nbsp;A. Moure </div> <div class="periodical"> <em>Philosophical Transactions of the Royal Society A: Mathematical, Physical and Engineering Sciences</em>, 2019 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li></ol>]]></content><author><name></name></author><category term="Projects"/><category term="Phase-field"/><category term="PDEs"/><category term="IGA"/><summary type="html"><![CDATA[we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.]]></summary></entry><entry><title type="html">Solving the Cahn-Hilliard equation on complex geometries</title><link href="https://mdeluci.github.io/blog/2024/CahnHilliard/" rel="alternate" type="text/html" title="Solving the Cahn-Hilliard equation on complex geometries"/><published>2024-06-19T06:52:00+00:00</published><updated>2024-06-19T06:52:00+00:00</updated><id>https://mdeluci.github.io/blog/2024/CahnHilliard</id><content type="html" xml:base="https://mdeluci.github.io/blog/2024/CahnHilliard/"><![CDATA[<h2 id="the-cahn-hilliard-equation">The Cahn-Hilliard equation</h2> <p>The Cahn–Hilliard equation describes the process of phase separation, by which the two components of a binary fluid spontaneously separate and form domains pure in each component. It was originally proposed in 1958 to model phase separation in binary alloys <a class="citation" href="#Cahn-Hilliard">(Cahn &amp; Hilliard, 1958; Cahn, 1959)</a>. Since then it has been used to describe various phenomena, such as spinodal decomposition <a class="citation" href="#MARALDI201231">(Maraldi et al., 2012)</a>, diblock copolymer <a class="citation" href="#Choksi">(Choksi et al., 2009)</a>, image inpainting, tumor growth simulation <a class="citation" href="#tumor">(Hilhorst et al., 2015)</a> or multiphase fluid flows <a class="citation" href="#BADALASSI2003371">(Badalassi et al., 2003)</a>.</p> <div class="container"> <div class="row justify-content-center mt-3"> <div class="col mt-3 mt-md-0 d-flex justify-content-center"> <div style="width: 90%;"> <figure> <video src="/assets/video/ch.mp4" class="img-fluid rounded z-depth-1" width="auto" height="auto" autoplay="" controls=""/> </figure> </div> </div> </div> <div class="caption text-center"> Solution of the Cahn-Hilliard equation on a quarter of anulus from a randomly perturbed initial condition. </div> </div> <p>There are two main approaches to describing phase transition phenomena: sharp-interface models and phase-field models. Sharp-interface models involve the resolution of a moving boundary problem, meaning that partial differential equations have to be solved for each phase. This can lead to physical <a class="citation" href="#Anderson">(Anderson et al., 1998)</a> and computational complications (missing reference), such as jump discontinuities across the interface. Phase-field models replace sharp-interfaces by thin transitions regions where the interfacial forces are smoothly distributed (diffuse interfaces). For this reason, phase-field models are also referred to as \emph{diffuse interface} models, and they are emerging as a promising tool to treat problems with interfaces.</p> <p>From the mathematical point of view, the Cahn-Hilliard equation is a stiff, fourth-order, nonlinear parabolic partial differential equation. The elementary form of the Cahn-Hilliard equation is given by</p> <p>\begin{equation} \frac{\partial \phi}{\partial t}=\nabla \cdot \left(m\left(\phi\right) \nabla \left(W’\left(\phi\right) -\epsilon ^2 \Delta \phi \right) \right) \label{element} \end{equation}</p> <p>where \(\phi\left(\mathbf{x},t\right) \in [-1,1]\) represents the phase-field variable, which describes the location of different components (e.g., \(\phi=-1\) in oil and \(\phi=1\) in water), \(m\left(\phi\right)\) is the mobility, \(W\left(\phi\right)\) is the so-called double-well potential, and \(\epsilon\) is a length scale related to the thickness of the diffuse interface.</p> <p>Two different approaches have been used to solve the Cahn-Hilliard equation: solving the original form given by Eqn.\eqref{element}, which involves fourth-order operators, or by splitting it into two second order partial differential equations by introducing an auxiliary variable — the chemical potential \(\mu\). The split version of the equation is given by</p> <p>\begin{equation} \frac{\partial \phi}{\partial t}=\nabla \cdot \left(m\left(\phi\right) \nabla \mu \right) \label{split1} \end{equation} \begin{equation} \mu=W’\left(\phi \right) - \epsilon^2 \Delta \phi. \label{chempot} \end{equation}</p> <p>The splitting strategy was proposed by Elliot <a class="citation" href="#Elliott1989ASO">(Elliott et al., 1989)</a> to avoid constraints related to the continuity of the basis functions when using the finite element method with a primal formulation. It also facilitates the imposition of the boundary conditions on a circular geometry, which is the case we are interested in. Unfortunately, this comes at a price of an additional degree of freedom introduced into the solver. Nevertheless, this reformulation reduces the complexity of the problem from the numerical point of view (see <a class="citation" href="#Zee">(van der Zee et al., 2011)</a>).</p> <p>The spatial discretization of the governing equations is performed using isogeometric analysis (IGA). IGA is a generalization of the finite-element method that uses non-uniform rational B-splines (NURBS) to define the discrete spaces. A significant advantage of IGA with respect to finite element analysis is that the basis functions can be constructed with controllable continuity across the element boundaries, even on mapped geometries. The higher-order global continuity of the basis functions has been shown to produce higher accuracy than classical \(\mathcal{C}^0\)-continuous finite elements for the same number of degrees of freedom; and has been widely used to solve partial differential equations with high-order spatial derivatives <a class="citation" href="#GOMEZ20084333">(Gomez et al., 2008; Gomez et al., 2010; Gomez &amp; Nogueira, 2012)</a>. Here, we will use \(\mathcal{C}^1\)-continuous quadratic splines for \(\phi\) and \(\mu\).</p> <h2 id="strong-form">Strong form</h2> <p>The strong form of the problem is formulated as follows: find \(\phi:\Omega \times \left[0,T\right]\rightarrow \mathbb{R}\) and \(\mu:\Omega \times \left[0,T\right]\rightarrow \mathbb{R}\) (being \(\mu\) an auxiliary variable) such that:</p> <p>\begin{equation} \frac{\partial \phi}{\partial t}=\nabla \cdot \left(m\left(\phi\right) \nabla \mu\right) \quad \text{in} \ \Omega \times \left[0,T\right], \label{st1} \end{equation} <br/> \begin{equation} \mu=W’\left(\phi\right)-\epsilon^2 \Delta \phi \quad \text{in} \ \Omega \times \left[0,T\right], \label{st2} \end{equation} \begin{equation} \phi=g \quad \text{on} \ \Gamma_g \times \left[0,T\right], \label{st3} \end{equation} \begin{equation} <br/> m\left(\phi\right)\epsilon^2\Delta\phi=q \quad \text{on} \ \Gamma_q \times \left[0,T\right], \label{st4} \end{equation} \begin{equation} \nabla\left(m\left(\phi\right)\mu\right)\cdot \mathbf{n}=s \quad \text{on} \ \Gamma_s \times \left[0,T\right], \label{st5} \end{equation} \begin{equation} \nabla\left(m\left(\phi\right)\phi\right)\cdot \mathbf{n}=h \quad \text{on} \ \Gamma_h \times \left[0,T\right], \label{st6}<br/> \end{equation} \begin{equation} \phi\left(\mathbf{x},0\right)=\phi_0\left(\mathbf{x}\right) \quad \text{in} \ \Omega. \label{st7}<br/> \end{equation}</p> <p>The double well function \(W\left(\phi\right)\) is defined such that it has two local minima, which makes possible the coexistence of the different phases. Some important examples of double well functions can be found in <a class="citation" href="#Gomez2">(Gomez &amp; van der Zee, 2017)</a>. In this work we will take the classical quartic potential</p> <p>\begin{equation} W\left(\phi\right)=\frac{1}{4}\left(1-\phi^2\right)^2, \end{equation}</p> <p>which is a qualitative approximation of the logarithmic double well.</p> <p>The mobility \(m\left(\phi\right)\), which can be linked with the diffusivity, controls the time scale of the problem. The most common approach is to set it as a constant, \(m\left(\phi\right)=m\). Such an approach is extensively applied in both analytical and numerical studies. We will take \(m\) constant and equal to one as recommended in <a class="citation" href="#GOMEZ20084333">(Gomez et al., 2008)</a>.</p> <p>The parameter \(\epsilon\) is a positive constant that defines the length scale for the problem. According to <a class="citation" href="#GOMEZ20084333">(Gomez et al., 2008)</a>, the solution to the Cahn-Hilliard equations depends only on the dimensionless number</p> <p>\begin{equation} \alpha=\frac{L_0^2}{3\epsilon^2}, \end{equation}</p> <p>also referred to as sharpness parameter, where \(L_0\) is a length scale of the problem. Here, we will assume that \(L_0\) is a measure of the computational domain size. Without loss of generality, \(L_0=R_2=1.0\) will be the outer radius of the quarter of annulus. The sharpness parameter \(\alpha\) usually takes values in the range \(10^3-10^4\). We will study the evolution of the phase-field variable for different values of \(\alpha\).</p> <h2 id="weak-form">Weak form</h2> <p>The strong form of our model defined by Eqns. \eqref{st1}–\eqref{st7} is now cast in weak form and discretized using the Galerkin approach. We will only work with free-flux boundary conditions. Thus, all boundary integrals will vanish in the weak form. Let us define the functional space \(\mathcal{V} \subset \mathcal{H}^1\), where \(\mathcal{H}^1\) is the Sobolev space of square-integrable functions with square-integrable first derivative in the domain \(\Omega\). To perform space discretization we introduce the finite-dimensional space \(\mathcal{V}^h\subset \mathcal{V}\), where \(\mathcal{V}^h ={\rm span}\left \{ N_A \right \}_{A=1,\dots,n_f}\) and \(n_f\) is the number of functions on the basis. The space of weighting functions will also be \(\mathcal{V}^h\), giving rise to a Galerkin formulation. We define discrete approximations to the problem’s solution denoted by \(\phi^h\) and \(\mu^h\). Their corresponding weighting functions are \(w_{\phi}^h\) and \(w_{\mu}^h\). Then, the variational formulation of Eqns. \eqref{st1}–\eqref{st7} over the finite-dimensional space \(\mathcal{V}^h\) can be stated as follows: find \(\phi^h\), \(\mu^h\) \(\in \mathcal{V}^h\subset \mathcal{V}\) such that \(\forall\) \(w_{\phi}^h\), \(w_{\mu}^h\) \(\in \mathcal{V}^h \subset \mathcal{V}\)</p> <p>\begin{equation} \int_{\Omega}w_{\phi}^h\frac{\partial\phi}{\partial t}d\Omega +\int_{\Omega}m\nabla w_{\phi}^h \cdot \nabla \mu^h d\Omega =0, \label{wf1} \end{equation} \begin{equation} \int_{\Omega}w_{\mu}^h \mu^h d\Omega - \int_{\Omega}w_{\mu}^h \phi^h \left( \left(\phi^h \right)^2-1 \right)d\Omega- \int_{\Omega} \epsilon^2 \nabla \phi^h \cdot \nabla w_{\mu}^h d\Omega= 0. \end{equation}</p> <p>The solutions \(\phi^h\) and \(\mu^h\) are defined as \begin{equation} \phi^h(\mathbf{x},t)=\sum_{A=1}^{n_f}\phi_A\left ( t \right )N_A\left ( \mathbf{x} \right ), \end{equation} \begin{equation} \mu^h(\mathbf{x},t)=\sum_{A=1}^{n_f}\mu_A\left ( t \right )N_A\left ( \mathbf{x} \right ). \end{equation}</p> <h2 id="results">Results</h2> <p>We consider the split form of the Cahn-Hilliard equation on an open quarter-annulus domain \begin{equation} \Omega = { (x,y) \in \mathbb{R}^2 : x &gt; 0, y &gt; 0, R_1^2 &lt; x^2 + y^2 &lt; R_2^2 }, \end{equation} with inner radius \(R_1=0.5\) and outer radius \(R_2=1\). We employ a computational mesh comprised of \(128^2\) \(\mathcal{C}^1\)-quadratic elements; see the figure below.</p> <div class="container"> <div class="row justify-content-center mt-3"> <div class="col mt-3 mt-md-0 d-flex justify-content-center"> <div style="width: 50%;"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/mesh-480.webp 480w,/assets/img/mesh-800.webp 800w,/assets/img/mesh-1400.webp 1400w," sizes="95vw" type="image/webp"/> <img src="/assets/img/mesh.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"/> </picture> </figure> </div> </div> </div> <div class="caption text-center"> Geometry definition and mesh used for the calculations. The circular inset shows a detail of the mesh. </div> </div> <p>The usual setup for numerical simulations of the Cahn-Hilliard equation is as follows: a randomly perturbed homogeneous solution is allowed to evolve in a sufficiently large computational domain with periodic boundary conditions. Periodic boundary conditions would make no sense in our case, since we are not considering a square domain. Instead, we prescribe free-flux boundary conditions on the entire domain for \(\phi\) and \(\mu\). The initial condition is given by \begin{equation} \phi_0\left(\mathbf{x}\right)=\bar{\phi}+r, \end{equation} where \(\bar{\phi}\) is a constant (referred to as the volume fraction) and \(r\) is a random variable with uniform distribution in \([-0.05,0.05]\).</p> <p>With this numerical setup we present two test cases which are defined by the sharpness parameter \(\alpha\) and the volume fraction \(\bar{\phi}\). We take \(\alpha=1500\), \(\bar{\phi}=0.3\) for the first case, and \(\alpha=3000\), \(\bar{\phi}=0.1\) for the second case.</p> <p>The left figure below shows snapshots of the solution at different times for \(\alpha=1500\) and \(\bar{\phi}=0.3\). We observe two main processes that take place at very different time scales: phase separation and coarsening. The Cahn-Hilliard equation is unstable under random perturbations within the spinodal region, and, thus, two phases will develop. Phase separation takes place at \(t\approx 0.01\) s. The concentration is driven to the binodal points in a very fast process. After the phase separation, the coarsening process starts. During the coarsening process, bubbles merge with each other to reduce the surface energy, acquiring a circular shape. This process finishes when there are only two regions occupied by the two components of the mixture and they achieve the equilibrium topology. This is occurs at the steady state (data not shown).</p> <blockquote> <p>Note: Spinodal decomposition occurs when one thermodynamic phase spontaneusly (i.e., without nucleation) separates into two phases. The spinodal region is the region of the phase diagram where this occurs.</p> </blockquote> <p>The right figure below shows snapshots of the solution at different times for \(\alpha=1500\) and \(\bar{\phi}=0.3\). This test case is more challenging than the previous one, since the parameter \(\alpha\) is larger, and, thus, the interfaces are thinner. The parameter \(\alpha\) not only affects the thickness of the interface but also modifies the time scale of the problem. The separation process is faster for \(\alpha=3000\) than for \(\alpha=1500\). Phase separation in this case takes place at the beginning of the simulation. On the other hand, the coarsening process is slower. The bubbles start acquiring the equilibrium topology, that is, a circular shape, later in time compared to the previous example. The initial volume fraction \(\bar{\phi}\) plays an important role in the topology of the solution. The topology of the solution for \(\bar{\phi}=0.1\) shows a more connected pattern than that of the solution for \(\bar{\phi}=0.3\). In contrast to the case defined by \(\bar{\phi}=0.3\), for \(\bar{\phi}=0.1\) there is no nucleation, and the coarsening process is more continuous over the simulation.</p> <div class="row mt-3"> <div class="col-sm mt-3 mt-md-0"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/fig2_ch-480.webp 480w,/assets/img/fig2_ch-800.webp 800w,/assets/img/fig2_ch-1400.webp 1400w," sizes="95vw" type="image/webp"/> <img src="/assets/img/fig2_ch.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"/> </picture> </figure> </div> <div class="col-sm mt-3 mt-md-0"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/fig3_ch-480.webp 480w,/assets/img/fig3_ch-800.webp 800w,/assets/img/fig3_ch-1400.webp 1400w," sizes="95vw" type="image/webp"/> <img src="/assets/img/fig3_ch.jpg" class="img-fluid rounded z-depth-1" width="100%" height="auto" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"/> </picture> </figure> </div> </div> <div class="caption"> Evolution of the phase-field from a randomly perturbed initial condition. Left and right show the snapshots over time for different initial conditions. </div> <h2 id="conclusions">Conclusions</h2> <p>We presented a numerical methodology to solve the Cahn-Hilliard equation on a quarter-annulus domain. Our computational method is based on isogeometric analysis, which allows us to generate the \(\mathcal{C}^1\)-continuous functions required to solve this equation in a variational framework. We adopt the split form of the equation to reduce its order, and facilitate the imposition of the boundary conditions on the circular geometry. Time discretazion is performed using the generalized \(\alpha\)-methods, which provides second order accuracy and \(A\)-stability. We analyzed the solution over time for different values of \(\alpha\) and \(\bar{\phi}\). The parameter \(\alpha\) affects the thickness of the interface and the time scale of the problem. As we increased \(\alpha\), the separation process was faster, and the thickness of the interface became thinner. The initial volume fraction \(\bar{\phi}\) modifies the topology of the solution. Smaller values of \(\bar{\phi}\) produce more continuous patterns without nucleation.</p> <h2 id="references">References</h2> <ol class="bibliography"><li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Cahn-Hilliard" class="col-sm-8"> <div class="title"><a href="">Free Energy of a Nonuniform System. I. Interfacial Free Energy</a></div> <div class="author"> John W. Cahn,&nbsp;and&nbsp;John E. Hilliard </div> <div class="periodical"> <em>The Journal of Chemical Physics</em>, 1958 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Cahn-Hilliard2" class="col-sm-8"> <div class="title"><a href=" https://doi.org/10.1063/1.1730145 ">Free Energy of a Nonuniform System. II. Thermodynamic Basis</a></div> <div class="author"> John W. Cahn </div> <div class="periodical"> <em>The Journal of Chemical Physics</em>, 1959 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="MARALDI201231" class="col-sm-8"> <div class="title"><a href="http://www.sciencedirect.com/science/article/pii/S0020722511001832">A unified thermodynamic framework for the modelling of diffusive and displacive phase transitions</a></div> <div class="author"> M. Maraldi,&nbsp;L. Molari,&nbsp;and&nbsp;D. Grandi </div> <div class="periodical"> <em>International Journal of Engineering Science</em>, 2012 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Choksi" class="col-sm-8"> <div class="title"><a href=" https://doi.org/10.1137/080728809 ">On the Phase Diagram for Microphase Separation of Diblock Copolymers: An Approach via a Nonlocal Cahn–Hilliard Functional</a></div> <div class="author"> Rustum Choksi,&nbsp;Mark A. Peletier,&nbsp;and&nbsp;J. F. Williams </div> <div class="periodical"> <em>SIAM Journal on Applied Mathematics</em>, 2009 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="tumor" class="col-sm-8"> <div class="title"><a href=" https://doi.org/10.1142/S0218202515500268 ">Formal asymptotic limit of a diffuse-interface tumor-growth model</a></div> <div class="author"> Danielle Hilhorst,&nbsp;Johannes Kampmann,&nbsp;Thanh Nam Nguyen,&nbsp;and&nbsp;Kristoffer George Van Der Zee </div> <div class="periodical"> <em>Mathematical Models and Methods in Applied Sciences</em>, 2015 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="BADALASSI2003371" class="col-sm-8"> <div class="title"><a href="http://www.sciencedirect.com/science/article/pii/S0021999103002808">Computation of multiphase systems with phase field models</a></div> <div class="author"> V.E. Badalassi,&nbsp;H.D. Ceniceros,&nbsp;and&nbsp;S. Banerjee </div> <div class="periodical"> <em>Journal of Computational Physics</em>, 2003 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Anderson" class="col-sm-8"> <div class="title"><a href=" https://doi.org/10.1146/annurev.fluid.30.1.139 ">DIFFUSE-INTERFACE METHODS IN FLUID MECHANICS</a></div> <div class="author"> D. M. Anderson,&nbsp;G. B. McFadden,&nbsp;and&nbsp;A. A. Wheeler </div> <div class="periodical"> <em>Annual Review of Fluid Mechanics</em>, 1998 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Elliott1989ASO" class="col-sm-8"> <div class="title"><a href="">A second order splitting method for the Cahn-Hilliard equation</a></div> <div class="author"> C. M. Elliott,&nbsp;D. French,&nbsp;and&nbsp;F. Milner </div> <div class="periodical"> <em>Numerische Mathematik</em>, 1989 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Zee" class="col-sm-8"> <div class="title"><a href="https://onlinelibrary.wiley.com/doi/abs/10.1002/num.20638">Goal-oriented error estimation for Cahn–Hilliard models of binary phase transition</a></div> <div class="author"> Kristoffer G. Zee,&nbsp;J. Tinsley Oden,&nbsp;Serge Prudhomme,&nbsp;and&nbsp;Andrea Hawkins-Daarud </div> <div class="periodical"> <em>Numerical Methods for Partial Differential Equations</em>, 2011 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="GOMEZ20084333" class="col-sm-8"> <div class="title"><a href="">Isogeometric analysis of the Cahn–Hilliard phase-field model</a></div> <div class="author"> Hector Gomez,&nbsp;Victor M. Calo,&nbsp;Yuri Bazilevs,&nbsp;and&nbsp;Thomas J.R. Hughes </div> <div class="periodical"> <em>Computer Methods in Applied Mechanics and Engineering</em>, 2008 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="GOMEZ20101828" class="col-sm-8"> <div class="title"><a href="">Isogeometric analysis of the isothermal Navier–Stokes–Korteweg equations</a></div> <div class="author"> Hector Gomez,&nbsp;Thomas J.R. Hughes,&nbsp;Xesús Nogueira,&nbsp;and&nbsp;Victor M. Calo </div> <div class="periodical"> <em>Computer Methods in Applied Mechanics and Engineering</em>, 2010 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="GOMEZ201252" class="col-sm-8"> <div class="title"><a href="">An unconditionally energy-stable method for the phase field crystal equation</a></div> <div class="author"> Hector Gomez,&nbsp;and&nbsp;Xesús Nogueira </div> <div class="periodical"> <em>Computer Methods in Applied Mechanics and Engineering</em>, 2012 </div> <div class="periodical"> Higher Order Finite Element and Isogeometric Methods </div> <div class="links"> </div> </div> </div> </li> <li><div class="row"> <div class="col col-sm-2 abbr"> </div> <div id="Gomez2" class="col-sm-8"> <div class="title"><a href="">Computational Phase-Field Modeling</a></div> <div class="author"> Hector Gomez,&nbsp;and&nbsp;Kristoffer G. Zee </div> <div class="periodical"> 2017 </div> <div class="periodical"> </div> <div class="links"> </div> </div> </div> </li></ol>]]></content><author><name></name></author><category term="Projects"/><category term="Cahn-Hilliard"/><category term="PDEs"/><category term="IGA"/><summary type="html"><![CDATA[We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,]]></summary></entry></feed>
\ No newline at end of file
diff --git a/index.html b/index.html
index b9addb74..01153e37 100644
--- a/index.html
+++ b/index.html
@@ -1,11 +1,12 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item active"> <a class="nav-link" href="/">About <span class="sr-only">(current)</span> </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title"> Mario de Lucio's website </h1> <p class="desc"></p> </header> <article> <div class="profile float-right"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/prof_pic_Mario-480.webp 480w,/assets/img/prof_pic_Mario-800.webp 800w,/assets/img/prof_pic_Mario-1400.webp 1400w," sizes="(min-width: 930px) 270.0px, (min-width: 576px) 30vw, 95vw" type="image/webp"> <img src="/assets/img/prof_pic_Mario.jpg?74227586374c723e38b6c32a19e21904" class="img-fluid z-depth-1 rounded" width="100%" height="auto" alt="prof_pic_Mario.jpg" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </source></picture> </figure> </div> <div class="clearfix"> <p>I am a Research Scientist in the <a href="https://www.purdue.edu/research/rche/" rel="external nofollow noopener" target="_blank">Regenstrief Center for Healthcare Engineering</a> at Purdue University working with <a href="https://vlachosresearch.org/pub-author/pavlos-p-vlachos/" rel="external nofollow noopener" target="_blank">Prof. Pavlos Vlachos</a> and <a href="https://engineering.purdue.edu/gomez/hectorgomez" rel="external nofollow noopener" target="_blank">Prof. Hector Gomez</a>.</p> <p>I consider myself a computational mechanician, I develop new modeling and computer-based simulation techniques to address real-world problems in mechanical and biomedical engineering. The core of my research philosophy lies in bridging the gap between computational theory and practical application. I am interested in tailoring computational models to capture the complex dynamics occurring at the intersection between biology and mechanics, providing insights that are not easily attainable through experimental methods alone.</p> <p>In my <a href="https://hammer.purdue.edu/articles/thesis/Numerical_Simulation_and_Poromechanical_Modeling_of_Subcutaneous_Injection_of_Monoclonal_Antibodies/25674240" rel="external nofollow noopener" target="_blank">PhD thesis</a>, I focused on the transport and mechanical processes behind subcutaneous injection for self-administration of biotherapeutics, particularly monoclonal antibodies (mAbs). My research developed a high-fidelity computational framework to study large-volume subcutaneous injection of mAbs, combining <code class="language-plaintext highlighter-rouge">large-deformation mechanics</code> with <code class="language-plaintext highlighter-rouge">drug transport and absorption</code>. My simulations provided essential insights into improving subcutaneous drug administration and developing patient-centered injection devices and techniques.</p> </div> <h2> <a href="/news/" style="color: inherit">news</a> </h2> <div class="news"> <div class="table-responsive" style="max-height: 60vw"> <table class="table table-sm table-borderless"> <tr> <th scope="row" style="width: 20%">Dec 11, 2024</th> <td> <a class="news-title" href="/news/MPET2_PK/">Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Oct 21, 2024</th> <td> <a class="news-title" href="/news/Melosh/">Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Oct 07, 2024</th> <td> <a class="news-title" href="/news/PSC/">Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Jul 10, 2024</th> <td> <a class="news-title" href="/news/NewPaperIJF/">Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Apr 03, 2024</th> <td> <a class="news-title" href="/news/Thesis_defense/">Mario succesfully defended his PhD thesis</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Nov 10, 2023</th> <td> <a class="news-title" href="/news/Hillberry/">Mario is awarded the Ben M. Hillberry Graduate Scholarship</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Jul 22, 2023</th> <td> <a class="news-title" href="/news/TBE/">Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Jul 03, 2023</th> <td> <a class="news-title" href="/news/EMI/">Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.</a> </td> </tr> </table> </div> </div> <h2> <a href="/publications/" style="color: inherit">Selected publications</a> </h2> <div class="publications"> <ol class="bibliography"><li> <div class="row"> <div class="col col-sm-2 abbr"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/publication_preview/deLucio5-480.webp 480w,/assets/img/publication_preview/deLucio5-800.webp 800w,/assets/img/publication_preview/deLucio5-1400.webp 1400w," sizes="200px" type="image/webp"> <img src="/assets/img/publication_preview/deLucio5.jpg" class="preview z-depth-1 rounded" width="100%" height="auto" alt="deLucio5.jpg" data-zoomable loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </source></picture> </figure> </div> <div id="deLucio5" class="col-sm-8"> <div class="title"><a href="https://www.sciencedirect.com/science/article/pii/S037851732400680X" rel="external nofollow noopener" target="_blank">Modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies: Impact of tissue deformation, devices, and physiology</a></div> <div class="author"> <em>Mario de Lucio</em>, Yu Leng, Hao Wang, Pavlos P. Vlachos, and <span class="more-authors" title="click to view 1 more author" onclick=" var element=$(this); element.attr('title', ''); var more_authors_text=element.text() == '1 more author' ? 'Hector Gomez' : '1 more author'; var cursorPosition=0; var textAdder=setInterval(function(){ element.text(more_authors_text.substring(0, cursorPosition + 1)); if (++cursorPosition == more_authors_text.length){ clearInterval(textAdder); } }, '10'); ">1 more author</span> </div> <div class="periodical"> <em>International Journal of Pharmaceutics</em>, 2024 </div> <div class="periodical"> </div> <div class="links"> <a class="abstract btn btn-sm z-depth-0" role="button">Abs</a> <a class="bibtex btn btn-sm z-depth-0" role="button">Bib</a> </div> <div class="abstract hidden"> <p>The pharmaceutical industry has experienced a remarkable increase in the use of subcutaneous injection of monoclonal antibodies (mAbs), attributed mainly to its advantages in reducing healthcare-related costs and enhancing patient compliance. Despite this growth, there is a limited understanding of how tissue mechanics, physiological parameters, and different injection devices and techniques influence the transport and absorption of the drug. In this work, we propose a high-fidelity computational model to study drug transport and absorption during and after subcutaneous injection of mAbs. Our numerical model includes large-deformation mechanics, fluid flow, drug transport, and blood and lymphatic uptake. Through this computational framework, we analyze the tissue material responses, plume dynamics, and drug absorption. We analyze different devices, injection techniques, and physiological parameters such as BMI, flow rate, and injection depth. Finally, we compare our numerical results against the experimental data from the literature.</p> </div> <div class="bibtex hidden"> <figure class="highlight"><pre><code class="language-bibtex" data-lang="bibtex"><span class="nc">@article</span><span class="p">{</span><span class="nl">deLucio5</span><span class="p">,</span>
-  <span class="na">title</span> <span class="p">=</span> <span class="s">{Modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies: Impact of tissue deformation, devices, and physiology}</span><span class="p">,</span>
-  <span class="na">journal</span> <span class="p">=</span> <span class="s">{International Journal of Pharmaceutics}</span><span class="p">,</span>
-  <span class="na">pages</span> <span class="p">=</span> <span class="s">{124446}</span><span class="p">,</span>
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item active"> <a class="nav-link" href="/">About <span class="sr-only">(current)</span> </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title"> Mario de Lucio's website </h1> <p class="desc"></p> </header> <article> <div class="profile float-right"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/prof_pic_Mario-480.webp 480w,/assets/img/prof_pic_Mario-800.webp 800w,/assets/img/prof_pic_Mario-1400.webp 1400w," sizes="(min-width: 930px) 270.0px, (min-width: 576px) 30vw, 95vw" type="image/webp"> <img src="/assets/img/prof_pic_Mario.jpg?74227586374c723e38b6c32a19e21904" class="img-fluid z-depth-1 rounded" width="100%" height="auto" alt="prof_pic_Mario.jpg" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </source></picture> </figure> </div> <div class="clearfix"> <p>I am a Research Scientist in the <a href="https://www.purdue.edu/research/rche/" rel="external nofollow noopener" target="_blank">Regenstrief Center for Healthcare Engineering</a> at Purdue University working with <a href="https://vlachosresearch.org/pub-author/pavlos-p-vlachos/" rel="external nofollow noopener" target="_blank">Prof. Pavlos Vlachos</a> and <a href="https://engineering.purdue.edu/gomez/hectorgomez" rel="external nofollow noopener" target="_blank">Prof. Hector Gomez</a>.</p> <p>I consider myself a computational mechanician, I develop new modeling and computer-based simulation techniques to address real-world problems in mechanical and biomedical engineering. The core of my research philosophy lies in bridging the gap between computational theory and practical application. I am interested in tailoring computational models to capture the complex dynamics occurring at the intersection between biology and mechanics, providing insights that are not easily attainable through experimental methods alone.</p> <p>In my <a href="https://hammer.purdue.edu/articles/thesis/Numerical_Simulation_and_Poromechanical_Modeling_of_Subcutaneous_Injection_of_Monoclonal_Antibodies/25674240" rel="external nofollow noopener" target="_blank">PhD thesis</a>, I focused on the transport and mechanical processes behind subcutaneous injection for self-administration of biotherapeutics, particularly monoclonal antibodies (mAbs). My research developed a high-fidelity computational framework to study large-volume subcutaneous injection of mAbs, combining <code class="language-plaintext highlighter-rouge">large-deformation mechanics</code> with <code class="language-plaintext highlighter-rouge">drug transport and absorption</code>. My simulations provided essential insights into improving subcutaneous drug administration and developing patient-centered injection devices and techniques.</p> </div> <h2> <a href="/news/" style="color: inherit">news</a> </h2> <div class="news"> <div class="table-responsive" style="max-height: 60vw"> <table class="table table-sm table-borderless"> <tr> <th scope="row" style="width: 20%">Oct 21, 2024</th> <td> <a class="news-title" href="/news/Melosh/">Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Oct 07, 2024</th> <td> <a class="news-title" href="/news/PSC/">Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Oct 07, 2024</th> <td> <a class="news-title" href="/news/MPET2_PK/">Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Jul 10, 2024</th> <td> <a class="news-title" href="/news/NewPaperIJF/">Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Apr 03, 2024</th> <td> <a class="news-title" href="/news/Thesis_defense/">Mario succesfully defended his PhD thesis</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Nov 10, 2023</th> <td> <a class="news-title" href="/news/Hillberry/">Mario is awarded the Ben M. Hillberry Graduate Scholarship</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Jul 22, 2023</th> <td> <a class="news-title" href="/news/TBE/">Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Jul 03, 2023</th> <td> <a class="news-title" href="/news/EMI/">Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.</a> </td> </tr> </table> </div> </div> <h2> <a href="/publications/" style="color: inherit">Selected publications</a> </h2> <div class="publications"> <ol class="bibliography"><li> <div class="row"> <div class="col col-sm-2 abbr"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/publication_preview/MPET2_PK.JPG-480.webp 480w,/assets/img/publication_preview/MPET2_PK.JPG-800.webp 800w,/assets/img/publication_preview/MPET2_PK.JPG-1400.webp 1400w," sizes="200px" type="image/webp"> <img src="/assets/img/publication_preview/MPET2_PK.JPG" class="preview z-depth-1 rounded" width="100%" height="auto" alt="MPET2_PK.JPG" data-zoomable loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </source></picture> </figure> </div> <div id="WANG2024108543" class="col-sm-8"> <div class="title"><a href="https://www.sciencedirect.com/science/article/pii/S0169260724005364" rel="external nofollow noopener" target="_blank">A MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights: From local scale to whole-body scale</a></div> <div class="author"> Hao Wang, <em>Mario de Lucio</em>, Tianyi Hu, Yu Leng, and <span class="more-authors" title="click to view 1 more author" onclick=" var element=$(this); element.attr('title', ''); var more_authors_text=element.text() == '1 more author' ? 'Hector Gomez' : '1 more author'; var cursorPosition=0; var textAdder=setInterval(function(){ element.text(more_authors_text.substring(0, cursorPosition + 1)); if (++cursorPosition == more_authors_text.length){ clearInterval(textAdder); } }, '10'); ">1 more author</span> </div> <div class="periodical"> <em>Computer Methods and Programs in Biomedicine</em>, 2024 </div> <div class="periodical"> </div> <div class="links"> <a class="abstract btn btn-sm z-depth-0" role="button">Abs</a> <a class="bibtex btn btn-sm z-depth-0" role="button">Bib</a> </div> <div class="abstract hidden"> <p>Background and Objective: Subcutaneous injection of biotherapeutics has attracted considerable attention in the pharmaceutical industry. However, there is limited understanding of the mechanisms underlying the absorption of drugs with different molecular weights and the delivery of drugs from the injection site to the targeted tissue. Methods: We propose the MPET2-mPBPK model to address this issue. This multiscale model couples the MPET2 model, which describes subcutaneous injection at the local tissue scale from a biomechanical view, with a post-injection absorption model at the injection site and a minimal physiologically-based pharmacokinetic (mPBPK) model at the whole-body scale. Utilizing the principles of tissue biomechanics and fluid dynamics, the local MPET2 model provides solutions that account for tissue deformation and drug absorption in local blood vessels and initial lymphatic vessels during injection. Additionally, we introduce a model accounting for the molecular weight effect on the absorption by blood vessels and a nonlinear model accounting for the absorption in lymphatic vessels. The post-injection model predicts drug absorption in local blood vessels and initial lymphatic vessels, which are integrated into the whole-body mPBPK model to describe the pharmacokinetic behaviors of the absorbed drug in the circulatory and lymphatic system. Results: We establish a numerical model that links the biomechanical process of subcutaneous injection at the local tissue scale and the pharmacokinetic behaviors of injected biotherapeutics at the whole-body scale. With the help of the model, we propose an explicit relationship between the reflection coefficient and molecular weight and predict the bioavailability of biotherapeutics with varying molecular weights via subcutaneous injection. Conclusion: The considered drug absorption mechanisms enable us to study the differences in local drug absorption and whole-body drug distribution with varying molecular weights. This model enhances the understanding of drug absorption mechanisms and transport routes in the circulatory system for drugs of different molecular weights and holds the potential to facilitate the application of computational modeling to drug formulation.</p> </div> <div class="bibtex hidden"> <figure class="highlight"><pre><code class="language-bibtex" data-lang="bibtex"><span class="nc">@article</span><span class="p">{</span><span class="nl">WANG2024108543</span><span class="p">,</span>
+  <span class="na">title</span> <span class="p">=</span> <span class="s">{A MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights: From local scale to whole-body scale}</span><span class="p">,</span>
+  <span class="na">journal</span> <span class="p">=</span> <span class="s">{Computer Methods and Programs in Biomedicine}</span><span class="p">,</span>
+  <span class="na">volume</span> <span class="p">=</span> <span class="s">{233}</span><span class="p">,</span>
+  <span class="na">pages</span> <span class="p">=</span> <span class="s">{108543}</span><span class="p">,</span>
   <span class="na">year</span> <span class="p">=</span> <span class="s">{2024}</span><span class="p">,</span>
-  <span class="na">issn</span> <span class="p">=</span> <span class="s">{0378-5173}</span><span class="p">,</span>
-  <span class="na">doi</span> <span class="p">=</span> <span class="s">{https://doi.org/10.1016/j.ijpharm.2024.124446}</span><span class="p">,</span>
-  <span class="na">url</span> <span class="p">=</span> <span class="s">{https://www.sciencedirect.com/science/article/pii/S037851732400680X}</span><span class="p">,</span>
-  <span class="na">author</span> <span class="p">=</span> <span class="s">{{de Lucio}, Mario and Leng, Yu and Wang, Hao and Vlachos, Pavlos P. and Gomez, Hector}</span><span class="p">,</span>
-  <span class="na">keywords</span> <span class="p">=</span> <span class="s">{Subcutaneous injection, Poroelasticity, Auto-injector, Drug transport, Lymphatic uptake}</span>
-<span class="p">}</span></code></pre></figure> </div> </div> </div> </li></ol> </div> <div class="social"> <div class="contact-icons"> <a href="mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75" title="email"><i class="fa-solid fa-envelope"></i></a> <a href="https://orcid.org/0000-0003-1168-2249" title="ORCID" rel="external nofollow noopener" target="_blank"><i class="ai ai-orcid"></i></a> <a href="https://scholar.google.com/citations?user=ykpA5ZsAAAAJ" title="Google Scholar" rel="external nofollow noopener" target="_blank"><i class="ai ai-google-scholar"></i></a> <a href="https://www.researchgate.net/profile/Mario-De-Lucio/" title="ResearchGate" rel="external nofollow noopener" target="_blank"><i class="ai ai-researchgate"></i></a> <a href="https://github.com/mdeluci" title="GitHub" rel="external nofollow noopener" target="_blank"><i class="fa-brands fa-github"></i></a> <a href="https://www.linkedin.com/in/mario-de-lucio" title="LinkedIn" rel="external nofollow noopener" target="_blank"><i class="fa-brands fa-linkedin"></i></a> </div> <div class="contact-note">For inquiries reach me at mdeluci@purdue.edu </div> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+  <span class="na">issn</span> <span class="p">=</span> <span class="s">{0169-2607}</span><span class="p">,</span>
+  <span class="na">doi</span> <span class="p">=</span> <span class="s">{10.1016/j.cmpb.2024.108543}</span><span class="p">,</span>
+  <span class="na">url</span> <span class="p">=</span> <span class="s">{https://www.sciencedirect.com/science/article/pii/S0169260724005364}</span><span class="p">,</span>
+  <span class="na">author</span> <span class="p">=</span> <span class="s">{Wang, Hao and {de Lucio}, Mario and Hu, Tianyi and Leng, Yu and Gomez, Hector}</span><span class="p">,</span>
+  <span class="na">keywords</span> <span class="p">=</span> <span class="s">{Multi-network poroelastic and transport model (MPET), Physiologically-based pharmacokinetics, Subcutaneous injection, Drug absorption, Molecular weight effect}</span>
+<span class="p">}</span></code></pre></figure> </div> </div> </div> </li></ol> </div> <div class="social"> <div class="contact-icons"> <a href="mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75" title="email"><i class="fa-solid fa-envelope"></i></a> <a href="https://orcid.org/0000-0003-1168-2249" title="ORCID" rel="external nofollow noopener" target="_blank"><i class="ai ai-orcid"></i></a> <a href="https://scholar.google.com/citations?user=ykpA5ZsAAAAJ" title="Google Scholar" rel="external nofollow noopener" target="_blank"><i class="ai ai-google-scholar"></i></a> <a href="https://www.researchgate.net/profile/Mario-De-Lucio/" title="ResearchGate" rel="external nofollow noopener" target="_blank"><i class="ai ai-researchgate"></i></a> <a href="https://github.com/mdeluci" title="GitHub" rel="external nofollow noopener" target="_blank"><i class="fa-brands fa-github"></i></a> <a href="https://www.linkedin.com/in/mario-de-lucio" title="LinkedIn" rel="external nofollow noopener" target="_blank"><i class="fa-brands fa-linkedin"></i></a> </div> <div class="contact-note">For inquiries reach me at mdeluci@purdue.edu </div> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/news/EMI/index.html b/news/EMI/index.html
index f2470655..8e4308dc 100644
--- a/news/EMI/index.html
+++ b/news/EMI/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA. | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/EMI/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.</h1> <p class="post-meta"> Created in July 03, 2023 </p> <p class="post-tags"> <i class="fa-solid fa-calendar fa-sm"></i> 2023 </p> </header> <article class="post-content"> <div id="markdown-content"> <p style="text-align: justify;"> Purdue ME PhD student Mario de Lucio received the Runner-up award in the Poromechanics student competition at the EMI 2023 in Atlanta for the paper titled: "Porohyperelastic modeling of high-dose subcutaneous injection of monoclonal antibodies using data-driven tissue geometries". </p> <p><img src="/assets/img/EMI.JPG" alt="EMI" width="750"></p> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA. | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/EMI/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.</h1> <p class="post-meta"> Created in July 03, 2023 </p> <p class="post-tags"> <i class="fa-solid fa-calendar fa-sm"></i> 2023 </p> </header> <article class="post-content"> <div id="markdown-content"> <p style="text-align: justify;"> Purdue ME PhD student Mario de Lucio received the Runner-up award in the Poromechanics student competition at the EMI 2023 in Atlanta for the paper titled: "Porohyperelastic modeling of high-dose subcutaneous injection of monoclonal antibodies using data-driven tissue geometries". </p> <p><img src="/assets/img/EMI.JPG" alt="EMI" width="750"></p> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/news/Hillberry/index.html b/news/Hillberry/index.html
index d8654e75..ca23eedf 100644
--- a/news/Hillberry/index.html
+++ b/news/Hillberry/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Mario is awarded the Ben M. Hillberry Graduate Scholarship | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/Hillberry/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Mario is awarded the Ben M. Hillberry Graduate Scholarship</h1> <p class="post-meta"> Created in November 10, 2023 </p> <p class="post-tags"> <i class="fa-solid fa-calendar fa-sm"></i> 2023 </p> </header> <article class="post-content"> <div id="markdown-content"> <p>Mario has been awarded the 2023 <a href="https://engineering.purdue.edu/ME/News/2023/purdue-me-grad-students-receive-fellowships-and-scholarships" rel="external nofollow noopener" target="_blank">Ben M. Hillberry</a> departmental scholarship for his PhD work in computational biomechanics. The Ben M. Hillberry Graduate Scholarship is sponsored by the students and friends of Professor Ben M. Hillberry in honor of his years of dedication to the School of Mechanical Engineering. The scholarship is for ME graduate students with a preference for students studying in biomechanics or materials. Selection of the recipients will be based on academic merit. Each recipient will receive a scholarship of $4,000. One recipient will be selected for each year.</p> <p><img src="/assets/img/hillberry.JPG" alt="Hillberry" width="750"></p> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Mario is awarded the Ben M. Hillberry Graduate Scholarship | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/Hillberry/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Mario is awarded the Ben M. Hillberry Graduate Scholarship</h1> <p class="post-meta"> Created in November 10, 2023 </p> <p class="post-tags"> <i class="fa-solid fa-calendar fa-sm"></i> 2023 </p> </header> <article class="post-content"> <div id="markdown-content"> <p>Mario has been awarded the 2023 <a href="https://engineering.purdue.edu/ME/News/2023/purdue-me-grad-students-receive-fellowships-and-scholarships" rel="external nofollow noopener" target="_blank">Ben M. Hillberry</a> departmental scholarship for his PhD work in computational biomechanics. The Ben M. Hillberry Graduate Scholarship is sponsored by the students and friends of Professor Ben M. Hillberry in honor of his years of dedication to the School of Mechanical Engineering. The scholarship is for ME graduate students with a preference for students studying in biomechanics or materials. Selection of the recipients will be based on academic merit. Each recipient will receive a scholarship of $4,000. One recipient will be selected for each year.</p> <p><img src="/assets/img/hillberry.JPG" alt="Hillberry" width="750"></p> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/news/MPET2_PK/index.html b/news/MPET2_PK/index.html
index 45c71a96..01a850bb 100644
--- a/news/MPET2_PK/index.html
+++ b/news/MPET2_PK/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine. | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/MPET2_PK/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.</h1> <p class="post-meta"> Created in December 11, 2024 </p> <p class="post-tags"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </p> </header> <article class="post-content"> <div id="markdown-content"> Check out our latest publication: ["A MPET2-mPBPK Model for Subcutaneous Injection of Biotherapeutics with Different Molecular Weights: From Local Scale to Whole-Body Scale"](https://www.sciencedirect.com/science/article/abs/pii/S0169260724005364?via%3Dihub). In this work, led by Hao Wang, we established a multiscale computational model that bridges the gap between the local biomechanics of subcutaneous injection and the pharmacokinetic behaviors of biotherapeutics with varying molecular weights. ![MPET2_PK](/assets/img/MPET2_PK.JPG){: width="750" } </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine. | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/MPET2_PK/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.</h1> <p class="post-meta"> Created in October 07, 2024 </p> <p class="post-tags"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </p> </header> <article class="post-content"> <div id="markdown-content"> <p>Check out our latest publication: <a href="https://www.sciencedirect.com/science/article/abs/pii/S0169260724005364?via%3Dihub" rel="external nofollow noopener" target="_blank">A MPET2-mPBPK Model for Subcutaneous Injection of Biotherapeutics with Different Molecular Weights: From Local Scale to Whole-Body Scale</a>.</p> <p>In this work, led by Hao Wang, we established a multiscale computational model that bridges the gap between the local biomechanics of subcutaneous injection and the pharmacokinetic behaviors of biotherapeutics with varying molecular weights.</p> <p><img src="/assets/img/MPET2_PK.JPG" alt="MPET2_PK" width="750"></p> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/news/Melosh/index.html b/news/Melosh/index.html
index d5b874dc..025d63bb 100644
--- a/news/Melosh/index.html
+++ b/news/Melosh/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/Melosh/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist</h1> <p class="post-meta"> Created in October 21, 2024 </p> <p class="post-tags"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </p> </header> <article class="post-content"> <div id="markdown-content"> <p>I’m honored to share that I’ve been selected as a finalist for the Robert J. Melosh Medal for the Best Student Paper on Computational Mechanics.</p> <p>We had a fantastic time at Duke University, and I’d like to thank the organizers, (Amir)Hossein Salahshoor John Dolbow, for creating this platform to showcase cutting-edge research in computational mechanics. A special thank you to José Andrade and Sanjay Govindjee for their insightful talks that added immense value to the event.</p> <p>This achievement wouldn’t have been possible without the invaluable support of my mentors Hector Gomez and Pavlos Vlachos.</p> <p>I would also like to dedicate my participation to the late Professor Manuel Casteleiro, for everything he did for the field of computational mechanics in Spain.</p> <p><img src="/assets/img/Melosh1.jpg" alt="Melosh1" width="750"></p> <p><img src="/assets/img/Melosh2.jpg" alt="Melosh2" width="750"></p> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/Melosh/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist</h1> <p class="post-meta"> Created in October 21, 2024 </p> <p class="post-tags"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </p> </header> <article class="post-content"> <div id="markdown-content"> <p>I’m honored to share that I’ve been selected as a finalist for the Robert J. Melosh Medal for the Best Student Paper on Computational Mechanics.</p> <p>We had a fantastic time at Duke University, and I’d like to thank the organizers, (Amir)Hossein Salahshoor John Dolbow, for creating this platform to showcase cutting-edge research in computational mechanics. A special thank you to José Andrade and Sanjay Govindjee for their insightful talks that added immense value to the event.</p> <p>This achievement wouldn’t have been possible without the invaluable support of my mentors Hector Gomez and Pavlos Vlachos.</p> <p>I would also like to dedicate my participation to the late Professor Manuel Casteleiro, for everything he did for the field of computational mechanics in Spain.</p> <p><img src="/assets/img/Melosh1.jpg" alt="Melosh1" width="750"></p> <p><img src="/assets/img/Melosh2.jpg" alt="Melosh2" width="750"></p> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/news/NewPaperIJF/index.html b/news/NewPaperIJF/index.html
index 64fde382..c110e3d1 100644
--- a/news/NewPaperIJF/index.html
+++ b/news/NewPaperIJF/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/NewPaperIJF/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics</h1> <p class="post-meta"> Created in July 10, 2024 </p> <p class="post-tags"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </p> </header> <article class="post-content"> <div id="markdown-content"> <p>Check our newest paper <a href="https://www.sciencedirect.com/science/article/pii/S037851732400680X?via%3Dihub" rel="external nofollow noopener" target="_blank">Modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies: Impact of tissue deformation, devices, and physiology</a> in the International Journal of Pharmaceutics, where we propose a high-fidelity computational model to study drug transport and absorption during and after subcutaneous injection of mAbs. Our numerical model includes large-deformation mechanics, fluid flow, drug transport, and blood and lymphatic uptake. Through this computational framework, we analyze the tissue material responses, plume dynamics, and drug absorption. We analyze different devices, injection techniques, and physiological parameters such as BMI, flow rate, and injection depth. Finally, we compare our numerical results against the experimental data from the literature.</p> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/NewPaperIJF/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics</h1> <p class="post-meta"> Created in July 10, 2024 </p> <p class="post-tags"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </p> </header> <article class="post-content"> <div id="markdown-content"> <p>Check our newest paper <a href="https://www.sciencedirect.com/science/article/pii/S037851732400680X?via%3Dihub" rel="external nofollow noopener" target="_blank">Modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies: Impact of tissue deformation, devices, and physiology</a> in the International Journal of Pharmaceutics, where we propose a high-fidelity computational model to study drug transport and absorption during and after subcutaneous injection of mAbs. Our numerical model includes large-deformation mechanics, fluid flow, drug transport, and blood and lymphatic uptake. Through this computational framework, we analyze the tissue material responses, plume dynamics, and drug absorption. We analyze different devices, injection techniques, and physiological parameters such as BMI, flow rate, and injection depth. Finally, we compare our numerical results against the experimental data from the literature.</p> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/news/PSC/index.html b/news/PSC/index.html
index 9374c815..8fe2fef7 100644
--- a/news/PSC/index.html
+++ b/news/PSC/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/PSC/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center</h1> <p class="post-meta"> Created in October 07, 2024 </p> <p class="post-tags"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </p> </header> <article class="post-content"> <div id="markdown-content"> <p>I recently had the opportunity to be interviewed by the Pittsburgh Supercomputing Center, where I shared insights into our work on studying monoclonal antibody (mAb) transport and absorption using their supercomputer, Bridges-2.</p> <p>The article, “Bridges-2 Simulations Uncover Better Ways to Inject Monoclonal Antibody Drugs”, explains how we use high-fidelity simulations to gain deeper understanding of mAb transport and absorption during subcutaneous injection. This work highlights how high-performance computing is pushing the boundaries of healthcare innovation.</p> <p>A huge thanks to the PSC team for their support and for the opportunity to share our work! You can read the article <a href="https://www.psc.edu/mabs/" rel="external nofollow noopener" target="_blank">here</a>.</p> <p><img src="/assets/img/PSC.JPG" alt="PSC" width="750"></p> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/PSC/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center</h1> <p class="post-meta"> Created in October 07, 2024 </p> <p class="post-tags"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </p> </header> <article class="post-content"> <div id="markdown-content"> <p>I recently had the opportunity to be interviewed by the Pittsburgh Supercomputing Center, where I shared insights into our work on studying monoclonal antibody (mAb) transport and absorption using their supercomputer, Bridges-2.</p> <p>The article, “Bridges-2 Simulations Uncover Better Ways to Inject Monoclonal Antibody Drugs”, explains how we use high-fidelity simulations to gain deeper understanding of mAb transport and absorption during subcutaneous injection. This work highlights how high-performance computing is pushing the boundaries of healthcare innovation.</p> <p>A huge thanks to the PSC team for their support and for the opportunity to share our work! You can read the article <a href="https://www.psc.edu/mabs/" rel="external nofollow noopener" target="_blank">here</a>.</p> <p><img src="/assets/img/PSC.JPG" alt="PSC" width="750"></p> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/news/TBE/index.html b/news/TBE/index.html
index ee92d1a6..f48000a7 100644
--- a/news/TBE/index.html
+++ b/news/TBE/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering. | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/TBE/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.</h1> <p class="post-meta"> Created in July 22, 2023 </p> <p class="post-tags"> <i class="fa-solid fa-calendar fa-sm"></i> 2023 </p> </header> <article class="post-content"> <div id="markdown-content"> <p style="text-align: justify;"> Trailblazers in Engineering (TBE) is a multi-day workshop focused on preparing future outstanding engineering scholars for future engineering faculty careers who are also committed to increasing the success of underrepresented communities of engineers. Trailblazers in Engineering Fellows are selected not only for their outstanding scholarly achievements but also for their potential impact in expanding representation and diversity in engineering. Mario was one of the 38 students selected out of a pool of +100 candidates. </p> <p>Photos:</p> <ul> <li>Mario discussing his poster with Mark J. McCready, Professor and Senior Associate Dean for Research and Faculty Affairs at Notre Dame University.</li> <li>Mario receving his diploma alongside Prof. Arvind Raman, Dean of the College of Engineering, and Prof. Luna Lu, Associate Dean of Faculty of the College of Engineering.</li> </ul> <p><img src="/assets/img/TBE1.jpg" alt="TBE1" width="750"></p> <p><img src="/assets/img/TBE2.jpg" alt="TBE2" width="750"></p> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering. | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/TBE/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.</h1> <p class="post-meta"> Created in July 22, 2023 </p> <p class="post-tags"> <i class="fa-solid fa-calendar fa-sm"></i> 2023 </p> </header> <article class="post-content"> <div id="markdown-content"> <p style="text-align: justify;"> Trailblazers in Engineering (TBE) is a multi-day workshop focused on preparing future outstanding engineering scholars for future engineering faculty careers who are also committed to increasing the success of underrepresented communities of engineers. Trailblazers in Engineering Fellows are selected not only for their outstanding scholarly achievements but also for their potential impact in expanding representation and diversity in engineering. Mario was one of the 38 students selected out of a pool of +100 candidates. </p> <p>Photos:</p> <ul> <li>Mario discussing his poster with Mark J. McCready, Professor and Senior Associate Dean for Research and Faculty Affairs at Notre Dame University.</li> <li>Mario receving his diploma alongside Prof. Arvind Raman, Dean of the College of Engineering, and Prof. Luna Lu, Associate Dean of Faculty of the College of Engineering.</li> </ul> <p><img src="/assets/img/TBE1.jpg" alt="TBE1" width="750"></p> <p><img src="/assets/img/TBE2.jpg" alt="TBE2" width="750"></p> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/news/Thesis_defense/index.html b/news/Thesis_defense/index.html
index 275ad77b..bfccd344 100644
--- a/news/Thesis_defense/index.html
+++ b/news/Thesis_defense/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Mario succesfully defended his PhD thesis | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/Thesis_defense/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Mario succesfully defended his PhD thesis</h1> <p class="post-meta"> Created in April 03, 2024 </p> <p class="post-tags"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </p> </header> <article class="post-content"> <div id="markdown-content"> <p style="text-align: justify;"> Mario has successfully defended his PhD Dissertation titled "Numerical Simulation and Poromechanical Modeling of Subcutaneous Injection of Monoclonal Antibodies". The PhD thesis committee was composed by Prof. Hector Gomez (Chair), Prof. Adrian Buganza Tepole, Prof. Arezoo M. Ardekani and Prof. Luis Solorio. </p> <p><img src="/assets/img/phd_defense.jpg" alt="PhD Defense" width="750"></p> <blockquote> <p>To my parents, Ana and Rafael, whose teachings I can encapsulate in the following words by the most important writer of all time: “Since you are not experienced in things of the world, all things that are a bit difficult seem impossible to you. Trust time; it usually provides a sweet way out of many bitter challenges.” —Miguel de Cervantes Saavedra, Don Quixote</p> </blockquote> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Mario succesfully defended his PhD thesis | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/Thesis_defense/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Mario succesfully defended his PhD thesis</h1> <p class="post-meta"> Created in April 03, 2024 </p> <p class="post-tags"> <i class="fa-solid fa-calendar fa-sm"></i> 2024 </p> </header> <article class="post-content"> <div id="markdown-content"> <p style="text-align: justify;"> Mario has successfully defended his PhD Dissertation titled "Numerical Simulation and Poromechanical Modeling of Subcutaneous Injection of Monoclonal Antibodies". The PhD thesis committee was composed by Prof. Hector Gomez (Chair), Prof. Adrian Buganza Tepole, Prof. Arezoo M. Ardekani and Prof. Luis Solorio. </p> <p><img src="/assets/img/phd_defense.jpg" alt="PhD Defense" width="750"></p> <blockquote> <p>To my parents, Ana and Rafael, whose teachings I can encapsulate in the following words by the most important writer of all time: “Since you are not experienced in things of the world, all things that are a bit difficult seem impossible to you. Trust time; it usually provides a sweet way out of many bitter challenges.” —Miguel de Cervantes Saavedra, Don Quixote</p> </blockquote> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/news/index.html b/news/index.html
index 6e2a18f4..74149626 100644
--- a/news/index.html
+++ b/news/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> news | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">news</h1> <p class="post-description"></p> </header> <article> <div class="news"> <div class="table-responsive"> <table class="table table-sm table-borderless"> <tr> <th scope="row" style="width: 20%">Dec 11, 2024</th> <td> <a class="news-title" href="/news/MPET2_PK/">Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Oct 21, 2024</th> <td> <a class="news-title" href="/news/Melosh/">Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Oct 07, 2024</th> <td> <a class="news-title" href="/news/PSC/">Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Jul 10, 2024</th> <td> <a class="news-title" href="/news/NewPaperIJF/">Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Apr 03, 2024</th> <td> <a class="news-title" href="/news/Thesis_defense/">Mario succesfully defended his PhD thesis</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Nov 10, 2023</th> <td> <a class="news-title" href="/news/Hillberry/">Mario is awarded the Ben M. Hillberry Graduate Scholarship</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Jul 22, 2023</th> <td> <a class="news-title" href="/news/TBE/">Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Jul 03, 2023</th> <td> <a class="news-title" href="/news/EMI/">Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.</a> </td> </tr> </table> </div> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> news | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/news/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">news</h1> <p class="post-description"></p> </header> <article> <div class="news"> <div class="table-responsive"> <table class="table table-sm table-borderless"> <tr> <th scope="row" style="width: 20%">Oct 21, 2024</th> <td> <a class="news-title" href="/news/Melosh/">Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Oct 07, 2024</th> <td> <a class="news-title" href="/news/PSC/">Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Oct 07, 2024</th> <td> <a class="news-title" href="/news/MPET2_PK/">Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Jul 10, 2024</th> <td> <a class="news-title" href="/news/NewPaperIJF/">Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Apr 03, 2024</th> <td> <a class="news-title" href="/news/Thesis_defense/">Mario succesfully defended his PhD thesis</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Nov 10, 2023</th> <td> <a class="news-title" href="/news/Hillberry/">Mario is awarded the Ben M. Hillberry Graduate Scholarship</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Jul 22, 2023</th> <td> <a class="news-title" href="/news/TBE/">Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.</a> </td> </tr> <tr> <th scope="row" style="width: 20%">Jul 03, 2023</th> <td> <a class="news-title" href="/news/EMI/">Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.</a> </td> </tr> </table> </div> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/people/index.html b/people/index.html
index de57f88e..e0e81c00 100644
--- a/people/index.html
+++ b/people/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> people | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="members of the lab or group"> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/people/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">people</h1> <p class="post-description">members of the lab or group</p> </header> <article> <div class="post"> <article> <hr> <div class="profile float-right"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/prof_pic-480.webp 480w,/assets/img/prof_pic-800.webp 800w,/assets/img/prof_pic-1400.webp 1400w," sizes="(min-width: 930px) 270.0px, (min-width: 576px) 30vw, 95vw" type="image/webp"> <img src="/assets/img/prof_pic.jpg" class="img-fluid z-depth-1 rounded" width="100%" height="auto" alt="prof_pic.jpg" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </source></picture> </figure> <div class="more-info"> <p>555 your office number</p> <p>123 your address street</p> <p>Your City, State 12345</p> </div> </div> <div class="clearfix"> <p>Write your biography here. Tell the world about yourself. Link to your favorite <a href="http://reddit.com" rel="external nofollow noopener" target="_blank">subreddit</a>. You can put a picture in, too. The code is already in, just name your picture <code class="language-plaintext highlighter-rouge">prof_pic.jpg</code> and put it in the <code class="language-plaintext highlighter-rouge">img/</code> folder.</p> <p>Put your address / P.O. box / other info right below your picture. You can also disable any these elements by editing <code class="language-plaintext highlighter-rouge">profile</code> property of the YAML header of your <code class="language-plaintext highlighter-rouge">_pages/about.md</code>. Edit <code class="language-plaintext highlighter-rouge">_bibliography/papers.bib</code> and Jekyll will render your <a href="/al-folio/publications/">publications page</a> automatically.</p> <p>Link to your social media connections, too. This theme is set up to use <a href="https://fontawesome.com/" rel="external nofollow noopener" target="_blank">Font Awesome icons</a> and <a href="https://jpswalsh.github.io/academicons/" rel="external nofollow noopener" target="_blank">Academicons</a>, like the ones below. Add your Facebook, Twitter, LinkedIn, Google Scholar, or just disable all of them.</p> </div> <hr> <div class="profile float-left"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/prof_pic-480.webp 480w,/assets/img/prof_pic-800.webp 800w,/assets/img/prof_pic-1400.webp 1400w," sizes="(min-width: 930px) 270.0px, (min-width: 576px) 30vw, 95vw" type="image/webp"> <img src="/assets/img/prof_pic.jpg" class="img-fluid z-depth-1 rounded" width="100%" height="auto" alt="prof_pic.jpg" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </source></picture> </figure> <div class="more-info"> <p>555 your office number</p> <p>123 your address street</p> <p>Your City, State 12345</p> </div> </div> <div class="clearfix"> </div> </article> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> people | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="members of the lab or group"> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/people/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">people</h1> <p class="post-description">members of the lab or group</p> </header> <article> <div class="post"> <article> <hr> <div class="profile float-right"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/prof_pic-480.webp 480w,/assets/img/prof_pic-800.webp 800w,/assets/img/prof_pic-1400.webp 1400w," sizes="(min-width: 930px) 270.0px, (min-width: 576px) 30vw, 95vw" type="image/webp"> <img src="/assets/img/prof_pic.jpg" class="img-fluid z-depth-1 rounded" width="100%" height="auto" alt="prof_pic.jpg" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </source></picture> </figure> <div class="more-info"> <p>555 your office number</p> <p>123 your address street</p> <p>Your City, State 12345</p> </div> </div> <div class="clearfix"> <p>Write your biography here. Tell the world about yourself. Link to your favorite <a href="http://reddit.com" rel="external nofollow noopener" target="_blank">subreddit</a>. You can put a picture in, too. The code is already in, just name your picture <code class="language-plaintext highlighter-rouge">prof_pic.jpg</code> and put it in the <code class="language-plaintext highlighter-rouge">img/</code> folder.</p> <p>Put your address / P.O. box / other info right below your picture. You can also disable any these elements by editing <code class="language-plaintext highlighter-rouge">profile</code> property of the YAML header of your <code class="language-plaintext highlighter-rouge">_pages/about.md</code>. Edit <code class="language-plaintext highlighter-rouge">_bibliography/papers.bib</code> and Jekyll will render your <a href="/al-folio/publications/">publications page</a> automatically.</p> <p>Link to your social media connections, too. This theme is set up to use <a href="https://fontawesome.com/" rel="external nofollow noopener" target="_blank">Font Awesome icons</a> and <a href="https://jpswalsh.github.io/academicons/" rel="external nofollow noopener" target="_blank">Academicons</a>, like the ones below. Add your Facebook, Twitter, LinkedIn, Google Scholar, or just disable all of them.</p> </div> <hr> <div class="profile float-left"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/prof_pic-480.webp 480w,/assets/img/prof_pic-800.webp 800w,/assets/img/prof_pic-1400.webp 1400w," sizes="(min-width: 930px) 270.0px, (min-width: 576px) 30vw, 95vw" type="image/webp"> <img src="/assets/img/prof_pic.jpg" class="img-fluid z-depth-1 rounded" width="100%" height="auto" alt="prof_pic.jpg" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </source></picture> </figure> <div class="more-info"> <p>555 your office number</p> <p>123 your address street</p> <p>Your City, State 12345</p> </div> </div> <div class="clearfix"> </div> </article> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/projects/1_project/index.html b/projects/1_project/index.html
index 31ba7bec..13632293 100644
--- a/projects/1_project/index.html
+++ b/projects/1_project/index.html
@@ -12,4 +12,4 @@
     {% include figure.liquid path="assets/img/11.jpg" title="example image" class="img-fluid rounded z-depth-1" %}
   <span class="nt">&lt;/div&gt;</span>
 <span class="nt">&lt;/div&gt;</span>
-</code></pre></div></div> </article> <h2>References</h2> <div class="publications"> <ol class="bibliography"></ol> </div> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+</code></pre></div></div> </article> <h2>References</h2> <div class="publications"> <ol class="bibliography"></ol> </div> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/projects/2_project/index.html b/projects/2_project/index.html
index 87b8f500..bac6bd0d 100644
--- a/projects/2_project/index.html
+++ b/projects/2_project/index.html
@@ -12,4 +12,4 @@
     {% include figure.liquid path="assets/img/11.jpg" title="example image" class="img-fluid rounded z-depth-1" %}
   <span class="nt">&lt;/div&gt;</span>
 <span class="nt">&lt;/div&gt;</span>
-</code></pre></div></div> </article> <div id="giscus_thread" style="max-width: 930px; margin: 0 auto;"> <script>let giscusTheme=determineComputedTheme(),giscusAttributes={src:"https://giscus.app/client.js","data-repo":"mdeluci/mdeluci.github.io","data-repo-id":"","data-category":"Comments","data-category-id":"","data-mapping":"title","data-strict":"1","data-reactions-enabled":"1","data-emit-metadata":"0","data-input-position":"bottom","data-theme":giscusTheme,"data-lang":"en",crossorigin:"anonymous",async:""},giscusScript=document.createElement("script");Object.entries(giscusAttributes).forEach(([t,e])=>giscusScript.setAttribute(t,e)),document.getElementById("giscus_thread").appendChild(giscusScript);</script> <noscript>Please enable JavaScript to view the <a href="http://giscus.app/?ref_noscript" rel="external nofollow noopener" target="_blank">comments powered by giscus.</a> </noscript> </div> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+</code></pre></div></div> </article> <div id="giscus_thread" style="max-width: 930px; margin: 0 auto;"> <script>let giscusTheme=determineComputedTheme(),giscusAttributes={src:"https://giscus.app/client.js","data-repo":"mdeluci/mdeluci.github.io","data-repo-id":"","data-category":"Comments","data-category-id":"","data-mapping":"title","data-strict":"1","data-reactions-enabled":"1","data-emit-metadata":"0","data-input-position":"bottom","data-theme":giscusTheme,"data-lang":"en",crossorigin:"anonymous",async:""},giscusScript=document.createElement("script");Object.entries(giscusAttributes).forEach(([t,e])=>giscusScript.setAttribute(t,e)),document.getElementById("giscus_thread").appendChild(giscusScript);</script> <noscript>Please enable JavaScript to view the <a href="http://giscus.app/?ref_noscript" rel="external nofollow noopener" target="_blank">comments powered by giscus.</a> </noscript> </div> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/projects/3_project/index.html b/projects/3_project/index.html
index 01def85b..513900f1 100644
--- a/projects/3_project/index.html
+++ b/projects/3_project/index.html
@@ -12,4 +12,4 @@
     {% include figure.liquid path="assets/img/11.jpg" title="example image" class="img-fluid rounded z-depth-1" %}
   <span class="nt">&lt;/div&gt;</span>
 <span class="nt">&lt;/div&gt;</span>
-</code></pre></div></div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+</code></pre></div></div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/projects/4_project/index.html b/projects/4_project/index.html
index a1d872e9..f73113b0 100644
--- a/projects/4_project/index.html
+++ b/projects/4_project/index.html
@@ -12,4 +12,4 @@
     {% include figure.liquid path="assets/img/11.jpg" title="example image" class="img-fluid rounded z-depth-1" %}
   <span class="nt">&lt;/div&gt;</span>
 <span class="nt">&lt;/div&gt;</span>
-</code></pre></div></div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+</code></pre></div></div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/projects/5_project/index.html b/projects/5_project/index.html
index a1d89056..b752512c 100644
--- a/projects/5_project/index.html
+++ b/projects/5_project/index.html
@@ -12,4 +12,4 @@
     {% include figure.liquid path="assets/img/11.jpg" title="example image" class="img-fluid rounded z-depth-1" %}
   <span class="nt">&lt;/div&gt;</span>
 <span class="nt">&lt;/div&gt;</span>
-</code></pre></div></div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+</code></pre></div></div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/projects/6_project/index.html b/projects/6_project/index.html
index 926ac3ea..271d79b8 100644
--- a/projects/6_project/index.html
+++ b/projects/6_project/index.html
@@ -12,4 +12,4 @@
     {% include figure.liquid path="assets/img/11.jpg" title="example image" class="img-fluid rounded z-depth-1" %}
   <span class="nt">&lt;/div&gt;</span>
 <span class="nt">&lt;/div&gt;</span>
-</code></pre></div></div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+</code></pre></div></div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/projects/7_project/index.html b/projects/7_project/index.html
index 902578e2..366d449b 100644
--- a/projects/7_project/index.html
+++ b/projects/7_project/index.html
@@ -12,4 +12,4 @@
     {% include figure.liquid path="assets/img/11.jpg" title="example image" class="img-fluid rounded z-depth-1" %}
   <span class="nt">&lt;/div&gt;</span>
 <span class="nt">&lt;/div&gt;</span>
-</code></pre></div></div> </article> <h2>References</h2> <div class="publications"> <ol class="bibliography"></ol> </div> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+</code></pre></div></div> </article> <h2>References</h2> <div class="publications"> <ol class="bibliography"></ol> </div> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/projects/8_project/index.html b/projects/8_project/index.html
index e602927a..7275a7b2 100644
--- a/projects/8_project/index.html
+++ b/projects/8_project/index.html
@@ -12,4 +12,4 @@
     {% include figure.liquid path="assets/img/11.jpg" title="example image" class="img-fluid rounded z-depth-1" %}
   <span class="nt">&lt;/div&gt;</span>
 <span class="nt">&lt;/div&gt;</span>
-</code></pre></div></div> </article> <div id="giscus_thread" style="max-width: 930px; margin: 0 auto;"> <script>let giscusTheme=determineComputedTheme(),giscusAttributes={src:"https://giscus.app/client.js","data-repo":"mdeluci/mdeluci.github.io","data-repo-id":"","data-category":"Comments","data-category-id":"","data-mapping":"title","data-strict":"1","data-reactions-enabled":"1","data-emit-metadata":"0","data-input-position":"bottom","data-theme":giscusTheme,"data-lang":"en",crossorigin:"anonymous",async:""},giscusScript=document.createElement("script");Object.entries(giscusAttributes).forEach(([t,e])=>giscusScript.setAttribute(t,e)),document.getElementById("giscus_thread").appendChild(giscusScript);</script> <noscript>Please enable JavaScript to view the <a href="http://giscus.app/?ref_noscript" rel="external nofollow noopener" target="_blank">comments powered by giscus.</a> </noscript> </div> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+</code></pre></div></div> </article> <div id="giscus_thread" style="max-width: 930px; margin: 0 auto;"> <script>let giscusTheme=determineComputedTheme(),giscusAttributes={src:"https://giscus.app/client.js","data-repo":"mdeluci/mdeluci.github.io","data-repo-id":"","data-category":"Comments","data-category-id":"","data-mapping":"title","data-strict":"1","data-reactions-enabled":"1","data-emit-metadata":"0","data-input-position":"bottom","data-theme":giscusTheme,"data-lang":"en",crossorigin:"anonymous",async:""},giscusScript=document.createElement("script");Object.entries(giscusAttributes).forEach(([t,e])=>giscusScript.setAttribute(t,e)),document.getElementById("giscus_thread").appendChild(giscusScript);</script> <noscript>Please enable JavaScript to view the <a href="http://giscus.app/?ref_noscript" rel="external nofollow noopener" target="_blank">comments powered by giscus.</a> </noscript> </div> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/projects/9_project/index.html b/projects/9_project/index.html
index cced441b..cc76ad61 100644
--- a/projects/9_project/index.html
+++ b/projects/9_project/index.html
@@ -12,4 +12,4 @@
     {% include figure.liquid path="assets/img/11.jpg" title="example image" class="img-fluid rounded z-depth-1" %}
   <span class="nt">&lt;/div&gt;</span>
 <span class="nt">&lt;/div&gt;</span>
-</code></pre></div></div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+</code></pre></div></div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/projects/index.html b/projects/index.html
index 3b8484f6..6b02bc41 100644
--- a/projects/index.html
+++ b/projects/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> projects | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="A growing collection of your cool projects."> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/projects/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">projects</h1> <p class="post-description">A growing collection of your cool projects.</p> </header> <article> <div class="projects"> <a id="work" href=".#work"> <h2 class="category">work</h2> </a> <div class="row row-cols-1 row-cols-md-3"> <div class="col"> <a href="/projects/1_project/"> <div class="card h-100 hoverable"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/12-480.webp 480w,/assets/img/12-800.webp 800w,/assets/img/12-1400.webp 1400w," sizes="250px" type="image/webp"></source> <img src="/assets/img/12.jpg" class="card-img-top" width="100%" height="auto" alt="project thumbnail" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> <div class="card-body"> <h2 class="card-title">project 1</h2> <p class="card-text">with background image</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> <div class="col"> <a href="/projects/7_project/"> <div class="card h-100 hoverable"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/4-480.webp 480w,/assets/img/4-800.webp 800w,/assets/img/4-1400.webp 1400w," sizes="250px" type="image/webp"></source> <img src="/assets/img/4.jpg" class="card-img-top" width="100%" height="auto" alt="project thumbnail" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> <div class="card-body"> <h2 class="card-title">project 7</h2> <p class="card-text">with background image</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> <div class="col"> <a href="/projects/2_project/"> <div class="card h-100 hoverable"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/3-480.webp 480w,/assets/img/3-800.webp 800w,/assets/img/3-1400.webp 1400w," sizes="250px" type="image/webp"></source> <img src="/assets/img/3.jpg" class="card-img-top" width="100%" height="auto" alt="project thumbnail" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> <div class="card-body"> <h2 class="card-title">project 2</h2> <p class="card-text">a project with a background image and giscus comments</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> <div class="col"> <a href="/projects/8_project/"> <div class="card h-100 hoverable"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/9-480.webp 480w,/assets/img/9-800.webp 800w,/assets/img/9-1400.webp 1400w," sizes="250px" type="image/webp"></source> <img src="/assets/img/9.jpg" class="card-img-top" width="100%" height="auto" alt="project thumbnail" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> <div class="card-body"> <h2 class="card-title">project 8</h2> <p class="card-text">an other project with a background image and giscus comments</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> <div class="col"> <a href="https://unsplash.com" rel="external nofollow noopener" target="_blank"> <div class="card h-100 hoverable"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/7-480.webp 480w,/assets/img/7-800.webp 800w,/assets/img/7-1400.webp 1400w," sizes="250px" type="image/webp"></source> <img src="/assets/img/7.jpg" class="card-img-top" width="100%" height="auto" alt="project thumbnail" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> <div class="card-body"> <h2 class="card-title">project 3 with very long name</h2> <p class="card-text">a project that redirects to another website</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> </div> <a id="fun" href=".#fun"> <h2 class="category">fun</h2> </a> <div class="row row-cols-1 row-cols-md-3"> <div class="col"> <a href="/projects/4_project/"> <div class="card h-100 hoverable"> <div class="card-body"> <h2 class="card-title">project 4</h2> <p class="card-text">another without an image</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> <div class="col"> <a href="/projects/5_project/"> <div class="card h-100 hoverable"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/1-480.webp 480w,/assets/img/1-800.webp 800w,/assets/img/1-1400.webp 1400w," sizes="250px" type="image/webp"></source> <img src="/assets/img/1.jpg" class="card-img-top" width="100%" height="auto" alt="project thumbnail" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> <div class="card-body"> <h2 class="card-title">project 5</h2> <p class="card-text">a project with a background image</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> <div class="col"> <a href="/projects/6_project/"> <div class="card h-100 hoverable"> <div class="card-body"> <h2 class="card-title">project 6</h2> <p class="card-text">a project with no image</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> <div class="col"> <a href="/projects/9_project/"> <div class="card h-100 hoverable"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/6-480.webp 480w,/assets/img/6-800.webp 800w,/assets/img/6-1400.webp 1400w," sizes="250px" type="image/webp"></source> <img src="/assets/img/6.jpg" class="card-img-top" width="100%" height="auto" alt="project thumbnail" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> <div class="card-body"> <h2 class="card-title">project 9</h2> <p class="card-text">another project with an image 🎉</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> </div> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> projects | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="A growing collection of your cool projects."> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/projects/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">projects</h1> <p class="post-description">A growing collection of your cool projects.</p> </header> <article> <div class="projects"> <a id="work" href=".#work"> <h2 class="category">work</h2> </a> <div class="row row-cols-1 row-cols-md-3"> <div class="col"> <a href="/projects/1_project/"> <div class="card h-100 hoverable"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/12-480.webp 480w,/assets/img/12-800.webp 800w,/assets/img/12-1400.webp 1400w," sizes="250px" type="image/webp"></source> <img src="/assets/img/12.jpg" class="card-img-top" width="100%" height="auto" alt="project thumbnail" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> <div class="card-body"> <h2 class="card-title">project 1</h2> <p class="card-text">with background image</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> <div class="col"> <a href="/projects/7_project/"> <div class="card h-100 hoverable"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/4-480.webp 480w,/assets/img/4-800.webp 800w,/assets/img/4-1400.webp 1400w," sizes="250px" type="image/webp"></source> <img src="/assets/img/4.jpg" class="card-img-top" width="100%" height="auto" alt="project thumbnail" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> <div class="card-body"> <h2 class="card-title">project 7</h2> <p class="card-text">with background image</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> <div class="col"> <a href="/projects/2_project/"> <div class="card h-100 hoverable"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/3-480.webp 480w,/assets/img/3-800.webp 800w,/assets/img/3-1400.webp 1400w," sizes="250px" type="image/webp"></source> <img src="/assets/img/3.jpg" class="card-img-top" width="100%" height="auto" alt="project thumbnail" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> <div class="card-body"> <h2 class="card-title">project 2</h2> <p class="card-text">a project with a background image and giscus comments</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> <div class="col"> <a href="/projects/8_project/"> <div class="card h-100 hoverable"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/9-480.webp 480w,/assets/img/9-800.webp 800w,/assets/img/9-1400.webp 1400w," sizes="250px" type="image/webp"></source> <img src="/assets/img/9.jpg" class="card-img-top" width="100%" height="auto" alt="project thumbnail" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> <div class="card-body"> <h2 class="card-title">project 8</h2> <p class="card-text">an other project with a background image and giscus comments</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> <div class="col"> <a href="https://unsplash.com" rel="external nofollow noopener" target="_blank"> <div class="card h-100 hoverable"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/7-480.webp 480w,/assets/img/7-800.webp 800w,/assets/img/7-1400.webp 1400w," sizes="250px" type="image/webp"></source> <img src="/assets/img/7.jpg" class="card-img-top" width="100%" height="auto" alt="project thumbnail" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> <div class="card-body"> <h2 class="card-title">project 3 with very long name</h2> <p class="card-text">a project that redirects to another website</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> </div> <a id="fun" href=".#fun"> <h2 class="category">fun</h2> </a> <div class="row row-cols-1 row-cols-md-3"> <div class="col"> <a href="/projects/4_project/"> <div class="card h-100 hoverable"> <div class="card-body"> <h2 class="card-title">project 4</h2> <p class="card-text">another without an image</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> <div class="col"> <a href="/projects/5_project/"> <div class="card h-100 hoverable"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/1-480.webp 480w,/assets/img/1-800.webp 800w,/assets/img/1-1400.webp 1400w," sizes="250px" type="image/webp"></source> <img src="/assets/img/1.jpg" class="card-img-top" width="100%" height="auto" alt="project thumbnail" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> <div class="card-body"> <h2 class="card-title">project 5</h2> <p class="card-text">a project with a background image</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> <div class="col"> <a href="/projects/6_project/"> <div class="card h-100 hoverable"> <div class="card-body"> <h2 class="card-title">project 6</h2> <p class="card-text">a project with no image</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> <div class="col"> <a href="/projects/9_project/"> <div class="card h-100 hoverable"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/6-480.webp 480w,/assets/img/6-800.webp 800w,/assets/img/6-1400.webp 1400w," sizes="250px" type="image/webp"></source> <img src="/assets/img/6.jpg" class="card-img-top" width="100%" height="auto" alt="project thumbnail" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> <div class="card-body"> <h2 class="card-title">project 9</h2> <p class="card-text">another project with an image 🎉</p> <div class="row ml-1 mr-1 p-0"> </div> </div> </div> </a> </div> </div> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/publications/index.html b/publications/index.html
index 12ad5f99..d30139ae 100644
--- a/publications/index.html
+++ b/publications/index.html
@@ -1,4 +1,15 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Publications | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Ordered by most recent."> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/publications/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item active"> <a class="nav-link" href="/publications/">Publications <span class="sr-only">(current)</span> </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Publications</h1> <p class="post-description">Ordered by most recent.</p> </header> <article> <div class="publications"> <h2 class="year">2024</h2> <ol class="bibliography"> <li> <div class="row"> <div class="col col-sm-2 abbr"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/publication_preview/deLucio5-480.webp 480w,/assets/img/publication_preview/deLucio5-800.webp 800w,/assets/img/publication_preview/deLucio5-1400.webp 1400w," sizes="200px" type="image/webp"></source> <img src="/assets/img/publication_preview/deLucio5.jpg" class="preview z-depth-1 rounded" width="100%" height="auto" alt="deLucio5.jpg" data-zoomable="" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> </div> <div id="deLucio5" class="col-sm-8"> <div class="title"><a href="https://www.sciencedirect.com/science/article/pii/S037851732400680X" rel="external nofollow noopener" target="_blank">Modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies: Impact of tissue deformation, devices, and physiology</a></div> <div class="author"> <em>Mario de Lucio</em>, Yu Leng, Hao Wang, Pavlos P. Vlachos, and <span class="more-authors" title="click to view 1 more author" onclick=" var element=$(this); element.attr('title', ''); var more_authors_text=element.text() == '1 more author' ? 'Hector Gomez' : '1 more author'; var cursorPosition=0; var textAdder=setInterval(function(){ element.text(more_authors_text.substring(0, cursorPosition + 1)); if (++cursorPosition == more_authors_text.length){ clearInterval(textAdder); } }, '10'); ">1 more author</span> </div> <div class="periodical"> <em>International Journal of Pharmaceutics</em>, 2024 </div> <div class="periodical"> </div> <div class="links"> <a class="abstract btn btn-sm z-depth-0" role="button">Abs</a> <a class="bibtex btn btn-sm z-depth-0" role="button">Bib</a> </div> <div class="abstract hidden"> <p>The pharmaceutical industry has experienced a remarkable increase in the use of subcutaneous injection of monoclonal antibodies (mAbs), attributed mainly to its advantages in reducing healthcare-related costs and enhancing patient compliance. Despite this growth, there is a limited understanding of how tissue mechanics, physiological parameters, and different injection devices and techniques influence the transport and absorption of the drug. In this work, we propose a high-fidelity computational model to study drug transport and absorption during and after subcutaneous injection of mAbs. Our numerical model includes large-deformation mechanics, fluid flow, drug transport, and blood and lymphatic uptake. Through this computational framework, we analyze the tissue material responses, plume dynamics, and drug absorption. We analyze different devices, injection techniques, and physiological parameters such as BMI, flow rate, and injection depth. Finally, we compare our numerical results against the experimental data from the literature.</p> </div> <div class="bibtex hidden"> <figure class="highlight"><pre><code class="language-bibtex" data-lang="bibtex"><span class="nc">@article</span><span class="p">{</span><span class="nl">deLucio5</span><span class="p">,</span>
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Publications | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Ordered by most recent."> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/publications/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item active"> <a class="nav-link" href="/publications/">Publications <span class="sr-only">(current)</span> </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Publications</h1> <p class="post-description">Ordered by most recent.</p> </header> <article> <div class="publications"> <h2 class="year">2024</h2> <ol class="bibliography"> <li> <div class="row"> <div class="col col-sm-2 abbr"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/publication_preview/MPET2_PK.JPG-480.webp 480w,/assets/img/publication_preview/MPET2_PK.JPG-800.webp 800w,/assets/img/publication_preview/MPET2_PK.JPG-1400.webp 1400w," sizes="200px" type="image/webp"></source> <img src="/assets/img/publication_preview/MPET2_PK.JPG" class="preview z-depth-1 rounded" width="100%" height="auto" alt="MPET2_PK.JPG" data-zoomable="" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> </div> <div id="WANG2024108543" class="col-sm-8"> <div class="title"><a href="https://www.sciencedirect.com/science/article/pii/S0169260724005364" rel="external nofollow noopener" target="_blank">A MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights: From local scale to whole-body scale</a></div> <div class="author"> Hao Wang, <em>Mario de Lucio</em>, Tianyi Hu, Yu Leng, and <span class="more-authors" title="click to view 1 more author" onclick=" var element=$(this); element.attr('title', ''); var more_authors_text=element.text() == '1 more author' ? 'Hector Gomez' : '1 more author'; var cursorPosition=0; var textAdder=setInterval(function(){ element.text(more_authors_text.substring(0, cursorPosition + 1)); if (++cursorPosition == more_authors_text.length){ clearInterval(textAdder); } }, '10'); ">1 more author</span> </div> <div class="periodical"> <em>Computer Methods and Programs in Biomedicine</em>, 2024 </div> <div class="periodical"> </div> <div class="links"> <a class="abstract btn btn-sm z-depth-0" role="button">Abs</a> <a class="bibtex btn btn-sm z-depth-0" role="button">Bib</a> </div> <div class="abstract hidden"> <p>Background and Objective: Subcutaneous injection of biotherapeutics has attracted considerable attention in the pharmaceutical industry. However, there is limited understanding of the mechanisms underlying the absorption of drugs with different molecular weights and the delivery of drugs from the injection site to the targeted tissue. Methods: We propose the MPET2-mPBPK model to address this issue. This multiscale model couples the MPET2 model, which describes subcutaneous injection at the local tissue scale from a biomechanical view, with a post-injection absorption model at the injection site and a minimal physiologically-based pharmacokinetic (mPBPK) model at the whole-body scale. Utilizing the principles of tissue biomechanics and fluid dynamics, the local MPET2 model provides solutions that account for tissue deformation and drug absorption in local blood vessels and initial lymphatic vessels during injection. Additionally, we introduce a model accounting for the molecular weight effect on the absorption by blood vessels and a nonlinear model accounting for the absorption in lymphatic vessels. The post-injection model predicts drug absorption in local blood vessels and initial lymphatic vessels, which are integrated into the whole-body mPBPK model to describe the pharmacokinetic behaviors of the absorbed drug in the circulatory and lymphatic system. Results: We establish a numerical model that links the biomechanical process of subcutaneous injection at the local tissue scale and the pharmacokinetic behaviors of injected biotherapeutics at the whole-body scale. With the help of the model, we propose an explicit relationship between the reflection coefficient and molecular weight and predict the bioavailability of biotherapeutics with varying molecular weights via subcutaneous injection. Conclusion: The considered drug absorption mechanisms enable us to study the differences in local drug absorption and whole-body drug distribution with varying molecular weights. This model enhances the understanding of drug absorption mechanisms and transport routes in the circulatory system for drugs of different molecular weights and holds the potential to facilitate the application of computational modeling to drug formulation.</p> </div> <div class="bibtex hidden"> <figure class="highlight"><pre><code class="language-bibtex" data-lang="bibtex"><span class="nc">@article</span><span class="p">{</span><span class="nl">WANG2024108543</span><span class="p">,</span>
+  <span class="na">title</span> <span class="p">=</span> <span class="s">{A MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights: From local scale to whole-body scale}</span><span class="p">,</span>
+  <span class="na">journal</span> <span class="p">=</span> <span class="s">{Computer Methods and Programs in Biomedicine}</span><span class="p">,</span>
+  <span class="na">volume</span> <span class="p">=</span> <span class="s">{233}</span><span class="p">,</span>
+  <span class="na">pages</span> <span class="p">=</span> <span class="s">{108543}</span><span class="p">,</span>
+  <span class="na">year</span> <span class="p">=</span> <span class="s">{2024}</span><span class="p">,</span>
+  <span class="na">issn</span> <span class="p">=</span> <span class="s">{0169-2607}</span><span class="p">,</span>
+  <span class="na">doi</span> <span class="p">=</span> <span class="s">{10.1016/j.cmpb.2024.108543}</span><span class="p">,</span>
+  <span class="na">url</span> <span class="p">=</span> <span class="s">{https://www.sciencedirect.com/science/article/pii/S0169260724005364}</span><span class="p">,</span>
+  <span class="na">author</span> <span class="p">=</span> <span class="s">{Wang, Hao and {de Lucio}, Mario and Hu, Tianyi and Leng, Yu and Gomez, Hector}</span><span class="p">,</span>
+  <span class="na">keywords</span> <span class="p">=</span> <span class="s">{Multi-network poroelastic and transport model (MPET), Physiologically-based pharmacokinetics, Subcutaneous injection, Drug absorption, Molecular weight effect}</span>
+<span class="p">}</span></code></pre></figure> </div> </div> </div> </li> <li> <div class="row"> <div class="col col-sm-2 abbr"> <figure> <picture> <source class="responsive-img-srcset" srcset="/assets/img/publication_preview/deLucio5-480.webp 480w,/assets/img/publication_preview/deLucio5-800.webp 800w,/assets/img/publication_preview/deLucio5-1400.webp 1400w," sizes="200px" type="image/webp"></source> <img src="/assets/img/publication_preview/deLucio5.jpg" class="preview z-depth-1 rounded" width="100%" height="auto" alt="deLucio5.jpg" data-zoomable="" loading="eager" onerror="this.onerror=null; $('.responsive-img-srcset').remove();"> </picture> </figure> </div> <div id="deLucio5" class="col-sm-8"> <div class="title"><a href="https://www.sciencedirect.com/science/article/pii/S037851732400680X" rel="external nofollow noopener" target="_blank">Modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies: Impact of tissue deformation, devices, and physiology</a></div> <div class="author"> <em>Mario de Lucio</em>, Yu Leng, Hao Wang, Pavlos P. Vlachos, and <span class="more-authors" title="click to view 1 more author" onclick=" var element=$(this); element.attr('title', ''); var more_authors_text=element.text() == '1 more author' ? 'Hector Gomez' : '1 more author'; var cursorPosition=0; var textAdder=setInterval(function(){ element.text(more_authors_text.substring(0, cursorPosition + 1)); if (++cursorPosition == more_authors_text.length){ clearInterval(textAdder); } }, '10'); ">1 more author</span> </div> <div class="periodical"> <em>International Journal of Pharmaceutics</em>, 2024 </div> <div class="periodical"> </div> <div class="links"> <a class="abstract btn btn-sm z-depth-0" role="button">Abs</a> <a class="bibtex btn btn-sm z-depth-0" role="button">Bib</a> </div> <div class="abstract hidden"> <p>The pharmaceutical industry has experienced a remarkable increase in the use of subcutaneous injection of monoclonal antibodies (mAbs), attributed mainly to its advantages in reducing healthcare-related costs and enhancing patient compliance. Despite this growth, there is a limited understanding of how tissue mechanics, physiological parameters, and different injection devices and techniques influence the transport and absorption of the drug. In this work, we propose a high-fidelity computational model to study drug transport and absorption during and after subcutaneous injection of mAbs. Our numerical model includes large-deformation mechanics, fluid flow, drug transport, and blood and lymphatic uptake. Through this computational framework, we analyze the tissue material responses, plume dynamics, and drug absorption. We analyze different devices, injection techniques, and physiological parameters such as BMI, flow rate, and injection depth. Finally, we compare our numerical results against the experimental data from the literature.</p> </div> <div class="bibtex hidden"> <figure class="highlight"><pre><code class="language-bibtex" data-lang="bibtex"><span class="nc">@article</span><span class="p">{</span><span class="nl">deLucio5</span><span class="p">,</span>
   <span class="na">title</span> <span class="p">=</span> <span class="s">{Modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies: Impact of tissue deformation, devices, and physiology}</span><span class="p">,</span>
   <span class="na">journal</span> <span class="p">=</span> <span class="s">{International Journal of Pharmaceutics}</span><span class="p">,</span>
   <span class="na">pages</span> <span class="p">=</span> <span class="s">{124446}</span><span class="p">,</span>
@@ -134,4 +145,4 @@
   <span class="na">year</span> <span class="p">=</span> <span class="s">{2018}</span><span class="p">,</span>
   <span class="na">school</span> <span class="p">=</span> <span class="s">{Universidade da Coruna}</span><span class="p">,</span>
   <span class="na">url</span> <span class="p">=</span> <span class="s">{https://www.researchgate.net/publication/329707429_A_multi-layered_in-silico_model_for_rupture_risk_assessment_of_abdominal_aortic_aneurysms_with_non-atherosclerotic_intimal_thickening}</span>
-<span class="p">}</span></code></pre></figure> </div> </div> </div> </li></ol> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<span class="p">}</span></code></pre></figure> </div> </div> </div> </li></ol> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/repositories/index.html b/repositories/index.html
index cc06ea10..3b592a7f 100644
--- a/repositories/index.html
+++ b/repositories/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> repositories | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Edit the `_data/repositories.yml` and change the `github_users` and `github_repos` lists to include your own GitHub profile and repositories."> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/repositories/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">repositories</h1> <p class="post-description">Edit the `_data/repositories.yml` and change the `github_users` and `github_repos` lists to include your own GitHub profile and repositories.</p> </header> <article> <h2 id="github-users">GitHub users</h2> <div class="repositories d-flex flex-wrap flex-md-row flex-column justify-content-between align-items-center"> <div class="repo p-2 text-center"> <a href="https://github.com/torvalds" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="torvalds" src="https://github-readme-stats.vercel.app/api/?username=torvalds&amp;theme=default&amp;show_icons=true"> <img class="repo-img-dark w-100" alt="torvalds" src="https://github-readme-stats.vercel.app/api/?username=torvalds&amp;theme=dark&amp;show_icons=true"> </a> </div> <div class="repo p-2 text-center"> <a href="https://github.com/alshedivat" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="alshedivat" src="https://github-readme-stats.vercel.app/api/?username=alshedivat&amp;theme=default&amp;show_icons=true"> <img class="repo-img-dark w-100" alt="alshedivat" src="https://github-readme-stats.vercel.app/api/?username=alshedivat&amp;theme=dark&amp;show_icons=true"> </a> </div> </div> <hr> <h2 id="github-repositories">GitHub Repositories</h2> <div class="repositories d-flex flex-wrap flex-md-row flex-column justify-content-between align-items-center"> <div class="repo p-2 text-center"> <a href="https://github.com/alshedivat/al-folio" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="alshedivat/al-folio" src="https://github-readme-stats.vercel.app/api/pin/?username=alshedivat&amp;repo=al-folio&amp;theme=default&amp;show_owner=false"> <img class="repo-img-dark w-100" alt="alshedivat/al-folio" src="https://github-readme-stats.vercel.app/api/pin/?username=alshedivat&amp;repo=al-folio&amp;theme=dark&amp;show_owner=false"> </a> </div> <div class="repo p-2 text-center"> <a href="https://github.com/twbs/bootstrap" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="twbs/bootstrap" src="https://github-readme-stats.vercel.app/api/pin/?username=twbs&amp;repo=bootstrap&amp;theme=default&amp;show_owner=true"> <img class="repo-img-dark w-100" alt="twbs/bootstrap" src="https://github-readme-stats.vercel.app/api/pin/?username=twbs&amp;repo=bootstrap&amp;theme=dark&amp;show_owner=true"> </a> </div> <div class="repo p-2 text-center"> <a href="https://github.com/jekyll/jekyll" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="jekyll/jekyll" src="https://github-readme-stats.vercel.app/api/pin/?username=jekyll&amp;repo=jekyll&amp;theme=default&amp;show_owner=true"> <img class="repo-img-dark w-100" alt="jekyll/jekyll" src="https://github-readme-stats.vercel.app/api/pin/?username=jekyll&amp;repo=jekyll&amp;theme=dark&amp;show_owner=true"> </a> </div> <div class="repo p-2 text-center"> <a href="https://github.com/jquery/jquery" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="jquery/jquery" src="https://github-readme-stats.vercel.app/api/pin/?username=jquery&amp;repo=jquery&amp;theme=default&amp;show_owner=true"> <img class="repo-img-dark w-100" alt="jquery/jquery" src="https://github-readme-stats.vercel.app/api/pin/?username=jquery&amp;repo=jquery&amp;theme=dark&amp;show_owner=true"> </a> </div> <div class="repo p-2 text-center"> <a href="https://github.com/FortAwesome/Font-Awesome" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="FortAwesome/Font-Awesome" src="https://github-readme-stats.vercel.app/api/pin/?username=FortAwesome&amp;repo=Font-Awesome&amp;theme=default&amp;show_owner=true"> <img class="repo-img-dark w-100" alt="FortAwesome/Font-Awesome" src="https://github-readme-stats.vercel.app/api/pin/?username=FortAwesome&amp;repo=Font-Awesome&amp;theme=dark&amp;show_owner=true"> </a> </div> <div class="repo p-2 text-center"> <a href="https://github.com/jpswalsh/academicons" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="jpswalsh/academicons" src="https://github-readme-stats.vercel.app/api/pin/?username=jpswalsh&amp;repo=academicons&amp;theme=default&amp;show_owner=true"> <img class="repo-img-dark w-100" alt="jpswalsh/academicons" src="https://github-readme-stats.vercel.app/api/pin/?username=jpswalsh&amp;repo=academicons&amp;theme=dark&amp;show_owner=true"> </a> </div> <div class="repo p-2 text-center"> <a href="https://github.com/mathjax/MathJax" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="mathjax/MathJax" src="https://github-readme-stats.vercel.app/api/pin/?username=mathjax&amp;repo=MathJax&amp;theme=default&amp;show_owner=true"> <img class="repo-img-dark w-100" alt="mathjax/MathJax" src="https://github-readme-stats.vercel.app/api/pin/?username=mathjax&amp;repo=MathJax&amp;theme=dark&amp;show_owner=true"> </a> </div> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> repositories | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Edit the `_data/repositories.yml` and change the `github_users` and `github_repos` lists to include your own GitHub profile and repositories."> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/repositories/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">repositories</h1> <p class="post-description">Edit the `_data/repositories.yml` and change the `github_users` and `github_repos` lists to include your own GitHub profile and repositories.</p> </header> <article> <h2 id="github-users">GitHub users</h2> <div class="repositories d-flex flex-wrap flex-md-row flex-column justify-content-between align-items-center"> <div class="repo p-2 text-center"> <a href="https://github.com/torvalds" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="torvalds" src="https://github-readme-stats.vercel.app/api/?username=torvalds&amp;theme=default&amp;show_icons=true"> <img class="repo-img-dark w-100" alt="torvalds" src="https://github-readme-stats.vercel.app/api/?username=torvalds&amp;theme=dark&amp;show_icons=true"> </a> </div> <div class="repo p-2 text-center"> <a href="https://github.com/alshedivat" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="alshedivat" src="https://github-readme-stats.vercel.app/api/?username=alshedivat&amp;theme=default&amp;show_icons=true"> <img class="repo-img-dark w-100" alt="alshedivat" src="https://github-readme-stats.vercel.app/api/?username=alshedivat&amp;theme=dark&amp;show_icons=true"> </a> </div> </div> <hr> <h2 id="github-repositories">GitHub Repositories</h2> <div class="repositories d-flex flex-wrap flex-md-row flex-column justify-content-between align-items-center"> <div class="repo p-2 text-center"> <a href="https://github.com/alshedivat/al-folio" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="alshedivat/al-folio" src="https://github-readme-stats.vercel.app/api/pin/?username=alshedivat&amp;repo=al-folio&amp;theme=default&amp;show_owner=false"> <img class="repo-img-dark w-100" alt="alshedivat/al-folio" src="https://github-readme-stats.vercel.app/api/pin/?username=alshedivat&amp;repo=al-folio&amp;theme=dark&amp;show_owner=false"> </a> </div> <div class="repo p-2 text-center"> <a href="https://github.com/twbs/bootstrap" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="twbs/bootstrap" src="https://github-readme-stats.vercel.app/api/pin/?username=twbs&amp;repo=bootstrap&amp;theme=default&amp;show_owner=true"> <img class="repo-img-dark w-100" alt="twbs/bootstrap" src="https://github-readme-stats.vercel.app/api/pin/?username=twbs&amp;repo=bootstrap&amp;theme=dark&amp;show_owner=true"> </a> </div> <div class="repo p-2 text-center"> <a href="https://github.com/jekyll/jekyll" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="jekyll/jekyll" src="https://github-readme-stats.vercel.app/api/pin/?username=jekyll&amp;repo=jekyll&amp;theme=default&amp;show_owner=true"> <img class="repo-img-dark w-100" alt="jekyll/jekyll" src="https://github-readme-stats.vercel.app/api/pin/?username=jekyll&amp;repo=jekyll&amp;theme=dark&amp;show_owner=true"> </a> </div> <div class="repo p-2 text-center"> <a href="https://github.com/jquery/jquery" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="jquery/jquery" src="https://github-readme-stats.vercel.app/api/pin/?username=jquery&amp;repo=jquery&amp;theme=default&amp;show_owner=true"> <img class="repo-img-dark w-100" alt="jquery/jquery" src="https://github-readme-stats.vercel.app/api/pin/?username=jquery&amp;repo=jquery&amp;theme=dark&amp;show_owner=true"> </a> </div> <div class="repo p-2 text-center"> <a href="https://github.com/FortAwesome/Font-Awesome" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="FortAwesome/Font-Awesome" src="https://github-readme-stats.vercel.app/api/pin/?username=FortAwesome&amp;repo=Font-Awesome&amp;theme=default&amp;show_owner=true"> <img class="repo-img-dark w-100" alt="FortAwesome/Font-Awesome" src="https://github-readme-stats.vercel.app/api/pin/?username=FortAwesome&amp;repo=Font-Awesome&amp;theme=dark&amp;show_owner=true"> </a> </div> <div class="repo p-2 text-center"> <a href="https://github.com/jpswalsh/academicons" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="jpswalsh/academicons" src="https://github-readme-stats.vercel.app/api/pin/?username=jpswalsh&amp;repo=academicons&amp;theme=default&amp;show_owner=true"> <img class="repo-img-dark w-100" alt="jpswalsh/academicons" src="https://github-readme-stats.vercel.app/api/pin/?username=jpswalsh&amp;repo=academicons&amp;theme=dark&amp;show_owner=true"> </a> </div> <div class="repo p-2 text-center"> <a href="https://github.com/mathjax/MathJax" rel="external nofollow noopener" target="_blank"> <img class="repo-img-light w-100" alt="mathjax/MathJax" src="https://github-readme-stats.vercel.app/api/pin/?username=mathjax&amp;repo=MathJax&amp;theme=default&amp;show_owner=true"> <img class="repo-img-dark w-100" alt="mathjax/MathJax" src="https://github-readme-stats.vercel.app/api/pin/?username=mathjax&amp;repo=MathJax&amp;theme=dark&amp;show_owner=true"> </a> </div> </div> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/research/index.html b/research/index.html
index cd042fce..97932458 100644
--- a/research/index.html
+++ b/research/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Research | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/research/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Research</h1> <p class="post-description"></p> </header> <article> <h4 id="civil-and-structural-engineering-applications">CIVIL AND STRUCTURAL ENGINEERING APPLICATIONS</h4> <p style="text-align: justify;"> Our research adopts a holistic approach to simulate all phases involved in the construction of complex infrastructures. We meticulously explore every step, from the initial constructive processes to the final design, integrating cutting-edge simulation technologies and analytical methods. This comprehensive methodology allows us to address and optimize the multifaceted aspects of building resilient and innovative structures that meet modern demands and stand the test of time. Through our work, we aim to enhance construction efficiency and safety, ensuring that each project not only meets but exceeds industry standards. </p> <p><img src="/assets/img/CIVIL.jpg" alt="CIVIL" width="100%"></p> <p>Related publications: <a href="https://dialnet.unirioja.es/servlet/articulo?codigo=7486537" rel="external nofollow noopener" target="_blank">Proyecto constructivo del nuevo puente de carretera para la unión de las villas de Laredo y Santoña (Cantabria)</a>, Mario de Lucio, Arturo Antón, Revista de Obras Públicas: Organo profesional de los Ingenieros de Caminos, Canales y Puertos, 2020</p> <h4 id="industrial-engineering-and-additive-manufacturing-applications">INDUSTRIAL ENGINEERING AND ADDITIVE MANUFACTURING APPLICATIONS</h4> <p style="text-align: justify;"> Our research embodies a comprehensive approach to enhancing production systems and pioneering advancements in 3D printing technologies. We focus on optimizing manufacturing processes through the integration of innovative techniques and rigorous analysis, ensuring efficiency, sustainability, and high-quality output. Our work spans from the development of new additive manufacturing methods to the strategic improvement of supply chain operations, aiming to revolutionize how products are designed, produced, and delivered. By leveraging cutting-edge technology and detailed simulations, we strive to push the boundaries of industrial engineering to meet the evolving needs of industries worldwide. </p> <p><img src="/assets/img/INDUSTRIAL.jpg" alt="INDUSTRIAL" width="100%"></p> <p>Related publications: <a href="https://www.sciencedirect.com/science/article/pii/S0997753819306758" rel="external nofollow noopener" target="_blank">Testing and simulation of additively manufactured AlSi10Mg components under quasi-static loading</a>, Miguel Costas, David Morin, Mario de Lucio and Magnus Langseth, European Journal of Mechanics - A/Solids, 2020.</p> <h4 id="hydraulic-and-environmental-engineering-applications">HYDRAULIC AND ENVIRONMENTAL ENGINEERING APPLICATIONS</h4> <p style="text-align: justify;"> Our research is dedicated to advancing the understanding and management of water resources through sophisticated flood analysis and free flow simulations. We employ state-of-the-art computational models to predict and mitigate the impacts of flooding, enhancing the resilience of communities against water-related disasters. Our work also focuses on the dynamics of free surface flows, exploring how water interacts with its surroundings, from riverbeds to urban waterways. This dual approach allows us to develop more effective water management strategies, ensuring sustainable and safe environments. Through our comprehensive studies, we aim to provide actionable insights that lead to improved infrastructure and environmental stewardship. </p> <p><img src="/assets/img/HYDRAULIC.jpg" alt="HYDRAULIC" width="100%"></p> <p>Related publications: <a href="https://ruc.udc.es/dspace/handle/2183/19429" rel="external nofollow noopener" target="_blank">Environmental rehabilitation and channeling of the Juan Díaz River in Panama City</a>, Mario de Lucio, Bachelor’s thesis. University of A Coruna, 2017.</p> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Research | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Mario de Lucio's website "> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/research/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item "> <a class="nav-link" href="/videos/">Videos </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Research</h1> <p class="post-description"></p> </header> <article> <h4 id="civil-and-structural-engineering-applications">CIVIL AND STRUCTURAL ENGINEERING APPLICATIONS</h4> <p style="text-align: justify;"> Our research adopts a holistic approach to simulate all phases involved in the construction of complex infrastructures. We meticulously explore every step, from the initial constructive processes to the final design, integrating cutting-edge simulation technologies and analytical methods. This comprehensive methodology allows us to address and optimize the multifaceted aspects of building resilient and innovative structures that meet modern demands and stand the test of time. Through our work, we aim to enhance construction efficiency and safety, ensuring that each project not only meets but exceeds industry standards. </p> <p><img src="/assets/img/CIVIL.jpg" alt="CIVIL" width="100%"></p> <p>Related publications: <a href="https://dialnet.unirioja.es/servlet/articulo?codigo=7486537" rel="external nofollow noopener" target="_blank">Proyecto constructivo del nuevo puente de carretera para la unión de las villas de Laredo y Santoña (Cantabria)</a>, Mario de Lucio, Arturo Antón, Revista de Obras Públicas: Organo profesional de los Ingenieros de Caminos, Canales y Puertos, 2020</p> <h4 id="industrial-engineering-and-additive-manufacturing-applications">INDUSTRIAL ENGINEERING AND ADDITIVE MANUFACTURING APPLICATIONS</h4> <p style="text-align: justify;"> Our research embodies a comprehensive approach to enhancing production systems and pioneering advancements in 3D printing technologies. We focus on optimizing manufacturing processes through the integration of innovative techniques and rigorous analysis, ensuring efficiency, sustainability, and high-quality output. Our work spans from the development of new additive manufacturing methods to the strategic improvement of supply chain operations, aiming to revolutionize how products are designed, produced, and delivered. By leveraging cutting-edge technology and detailed simulations, we strive to push the boundaries of industrial engineering to meet the evolving needs of industries worldwide. </p> <p><img src="/assets/img/INDUSTRIAL.jpg" alt="INDUSTRIAL" width="100%"></p> <p>Related publications: <a href="https://www.sciencedirect.com/science/article/pii/S0997753819306758" rel="external nofollow noopener" target="_blank">Testing and simulation of additively manufactured AlSi10Mg components under quasi-static loading</a>, Miguel Costas, David Morin, Mario de Lucio and Magnus Langseth, European Journal of Mechanics - A/Solids, 2020.</p> <h4 id="hydraulic-and-environmental-engineering-applications">HYDRAULIC AND ENVIRONMENTAL ENGINEERING APPLICATIONS</h4> <p style="text-align: justify;"> Our research is dedicated to advancing the understanding and management of water resources through sophisticated flood analysis and free flow simulations. We employ state-of-the-art computational models to predict and mitigate the impacts of flooding, enhancing the resilience of communities against water-related disasters. Our work also focuses on the dynamics of free surface flows, exploring how water interacts with its surroundings, from riverbeds to urban waterways. This dual approach allows us to develop more effective water management strategies, ensuring sustainable and safe environments. Through our comprehensive studies, we aim to provide actionable insights that lead to improved infrastructure and environmental stewardship. </p> <p><img src="/assets/img/HYDRAULIC.jpg" alt="HYDRAULIC" width="100%"></p> <p>Related publications: <a href="https://ruc.udc.es/dspace/handle/2183/19429" rel="external nofollow noopener" target="_blank">Environmental rehabilitation and channeling of the Juan Díaz River in Panama City</a>, Mario de Lucio, Bachelor’s thesis. University of A Coruna, 2017.</p> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/sitemap.xml b/sitemap.xml
index 81cbdd64..46517c51 100644
--- a/sitemap.xml
+++ b/sitemap.xml
@@ -1 +1 @@
-<?xml version="1.0" encoding="UTF-8"?> <urlset xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.sitemaps.org/schemas/sitemap/0.9 http://www.sitemaps.org/schemas/sitemap/0.9/sitemap.xsd" xmlns="http://www.sitemaps.org/schemas/sitemap/0.9"> <url> <loc>https://mdeluci.github.io/news/EMI/</loc> <lastmod>2023-07-03T07:00:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/news/TBE/</loc> <lastmod>2023-07-22T07:00:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/news/Hillberry/</loc> <lastmod>2023-11-10T07:00:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/news/Thesis_defense/</loc> <lastmod>2024-04-03T07:00:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/news/NewPaperIJF/</loc> <lastmod>2024-07-10T07:00:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/news/PSC/</loc> <lastmod>2024-10-07T07:00:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/news/Melosh/</loc> <lastmod>2024-10-21T07:00:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/news/MPET2_PK/</loc> <lastmod>2024-12-11T07:00:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/blog/2024/CahnHilliard/</loc> <lastmod>2024-06-19T06:52:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/blog/2024/Solidification/</loc> <lastmod>2024-06-20T06:52:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/1_project/</loc> <lastmod>2024-12-11T19:24:55+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/2_project/</loc> <lastmod>2024-12-11T19:24:55+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/3_project/</loc> <lastmod>2024-12-11T19:24:55+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/4_project/</loc> <lastmod>2024-12-11T19:24:55+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/5_project/</loc> <lastmod>2024-12-11T19:24:55+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/6_project/</loc> <lastmod>2024-12-11T19:24:55+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/7_project/</loc> <lastmod>2024-12-11T19:24:55+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/8_project/</loc> <lastmod>2024-12-11T19:24:55+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/9_project/</loc> <lastmod>2024-12-11T19:24:55+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/research/</loc> </url> <url> <loc>https://mdeluci.github.io/</loc> </url> <url> <loc>https://mdeluci.github.io/cv/</loc> </url> <url> <loc>https://mdeluci.github.io/_pages/dropdown/</loc> </url> <url> <loc>https://mdeluci.github.io/news/</loc> </url> <url> <loc>https://mdeluci.github.io/people/</loc> </url> <url> <loc>https://mdeluci.github.io/projects/</loc> </url> <url> <loc>https://mdeluci.github.io/publications/</loc> </url> <url> <loc>https://mdeluci.github.io/repositories/</loc> </url> <url> <loc>https://mdeluci.github.io/teaching/</loc> </url> <url> <loc>https://mdeluci.github.io/videos/</loc> </url> <url> <loc>https://mdeluci.github.io/blog/tag/cahn-hilliard/</loc> </url> <url> <loc>https://mdeluci.github.io/blog/tag/pdes/</loc> </url> <url> <loc>https://mdeluci.github.io/blog/tag/iga/</loc> </url> <url> <loc>https://mdeluci.github.io/blog/tag/phase-field/</loc> </url> <url> <loc>https://mdeluci.github.io/blog/category/projects/</loc> </url> <url> <loc>https://mdeluci.github.io/blog/2024/</loc> </url> <url> <loc>https://mdeluci.github.io/blog/</loc> </url> <url> <loc>https://mdeluci.github.io/Melosh/</loc> <lastmod>2024-12-11T19:24:08+00:00</lastmod> </url> </urlset>
\ No newline at end of file
+<?xml version="1.0" encoding="UTF-8"?> <urlset xmlns:xsi="http://www.w3.org/2001/XMLSchema-instance" xsi:schemaLocation="http://www.sitemaps.org/schemas/sitemap/0.9 http://www.sitemaps.org/schemas/sitemap/0.9/sitemap.xsd" xmlns="http://www.sitemaps.org/schemas/sitemap/0.9"> <url> <loc>https://mdeluci.github.io/news/EMI/</loc> <lastmod>2023-07-03T07:00:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/news/TBE/</loc> <lastmod>2023-07-22T07:00:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/news/Hillberry/</loc> <lastmod>2023-11-10T07:00:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/news/Thesis_defense/</loc> <lastmod>2024-04-03T07:00:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/news/NewPaperIJF/</loc> <lastmod>2024-07-10T07:00:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/news/MPET2_PK/</loc> <lastmod>2024-10-07T07:00:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/news/PSC/</loc> <lastmod>2024-10-07T07:00:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/news/Melosh/</loc> <lastmod>2024-10-21T07:00:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/blog/2024/CahnHilliard/</loc> <lastmod>2024-06-19T06:52:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/blog/2024/Solidification/</loc> <lastmod>2024-06-20T06:52:00+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/1_project/</loc> <lastmod>2024-12-12T15:29:03+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/2_project/</loc> <lastmod>2024-12-12T15:29:03+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/3_project/</loc> <lastmod>2024-12-12T15:29:03+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/4_project/</loc> <lastmod>2024-12-12T15:29:03+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/5_project/</loc> <lastmod>2024-12-12T15:29:03+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/6_project/</loc> <lastmod>2024-12-12T15:29:03+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/7_project/</loc> <lastmod>2024-12-12T15:29:03+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/8_project/</loc> <lastmod>2024-12-12T15:29:03+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/projects/9_project/</loc> <lastmod>2024-12-12T15:29:03+00:00</lastmod> </url> <url> <loc>https://mdeluci.github.io/research/</loc> </url> <url> <loc>https://mdeluci.github.io/</loc> </url> <url> <loc>https://mdeluci.github.io/cv/</loc> </url> <url> <loc>https://mdeluci.github.io/_pages/dropdown/</loc> </url> <url> <loc>https://mdeluci.github.io/news/</loc> </url> <url> <loc>https://mdeluci.github.io/people/</loc> </url> <url> <loc>https://mdeluci.github.io/projects/</loc> </url> <url> <loc>https://mdeluci.github.io/publications/</loc> </url> <url> <loc>https://mdeluci.github.io/repositories/</loc> </url> <url> <loc>https://mdeluci.github.io/teaching/</loc> </url> <url> <loc>https://mdeluci.github.io/videos/</loc> </url> <url> <loc>https://mdeluci.github.io/blog/tag/cahn-hilliard/</loc> </url> <url> <loc>https://mdeluci.github.io/blog/tag/pdes/</loc> </url> <url> <loc>https://mdeluci.github.io/blog/tag/iga/</loc> </url> <url> <loc>https://mdeluci.github.io/blog/tag/phase-field/</loc> </url> <url> <loc>https://mdeluci.github.io/blog/category/projects/</loc> </url> <url> <loc>https://mdeluci.github.io/blog/2024/</loc> </url> <url> <loc>https://mdeluci.github.io/blog/</loc> </url> <url> <loc>https://mdeluci.github.io/Melosh/</loc> <lastmod>2024-12-12T15:28:42+00:00</lastmod> </url> </urlset>
\ No newline at end of file
diff --git a/teaching/index.html b/teaching/index.html
index c9776eda..5d2a92c5 100644
--- a/teaching/index.html
+++ b/teaching/index.html
@@ -97,4 +97,4 @@
 \draw[connect] (courses) -- (newcourses);
 
 \end{tikzpicture}
-</script> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://tikzjax.com/v1/tikzjax.js" integrity="sha256-+1qyucCXRZJrCg3lm3KxRt/7WXaYhBid4/1XJRHGB1E=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+</script> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://tikzjax.com/v1/tikzjax.js" integrity="sha256-+1qyucCXRZJrCg3lm3KxRt/7WXaYhBid4/1XJRHGB1E=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
diff --git a/videos/index.html b/videos/index.html
index a4c1d9f7..6d21148a 100644
--- a/videos/index.html
+++ b/videos/index.html
@@ -1 +1 @@
-<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Videos | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Animations and videos"> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/videos/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item active"> <a class="nav-link" href="/videos/">Videos <span class="sr-only">(current)</span> </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Videos</h1> <p class="post-description">Animations and videos</p> </header> <article> <h4 id="2024-robert-j-melosh-medal-competition--mario-de-lucio">2024 Robert J. Melosh Medal Competition || Mario de Lucio</h4> <p style="text-align: justify;"> Talk by Dr. de Lucio at the 2024 Annual Robert J. Melosh Medal Competition for the Best Student Paper on Finite Element Analysis held at Duke University on October 14th. </p> <div class="video-container"> <iframe width="560" height="315" src="https://www.youtube.com/embed/WyP79u2AvNo" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" allowfullscreen=""></iframe> </div> <p><br><br></p> <h4 id="poromechanical-modeling-and-numerical-simulation-of-subcutaneous-injection-of-monoclonal-antibodies">Poromechanical modeling and numerical simulation of subcutaneous injection of monoclonal antibodies</h4> <p style="text-align: justify;"> Talk by Mario de Lucio at the Computational Interdisciplinary Graduate Programs (CIGP) Fall 2023 Symposium Seminar. </p> <div class="video-container"> <iframe width="560" height="315" src="https://www.youtube.com/embed/6yFBMedcIT8" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" allowfullscreen=""></iframe> </div> <p><br><br></p> <h4 id="fluid-structure-interaction-simulation-of-an-abdominal-aortic-aneurysm">Fluid-structure interaction simulation of an abdominal aortic aneurysm</h4> <p style="text-align: justify;"> Coupled fluid-solid approach to modeling pulsatile blood flow in aneurysmal arteries using the Arbitrarian Lagrangian Eulerian (ALE) strategy. The solid part is considered as hyperelastic anisotropic by means of the HGO model with two families of collagen fibers helically arranged. Simulations performed during my master's studies at Universidade da Coruna </p> <div class="video-container"> <iframe width="560" height="315" src="https://www.youtube.com/embed/Q7G-yB3iWwQ" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" allowfullscreen=""></iframe> </div> <p><br><br></p> <h4 id="a-pejino-engineer-in-the-global-pharmaceutical-elite-mario-de-lucio">A ‘pejino’ engineer in the global pharmaceutical elite: Mario de Lucio.</h4> <p>Interview by a local TV from Laredo, Cantabria, Spain, where I talk about my carreer and future endeavors as an engineer in the US. <i>“About to culminate his Ph.D. at Purdue University in the state of Indiana, USA, the young “pejino” Mario de Lucio returns home for a brief parenthesis before adding another milestone to an astonishing trajectory for his age. In this meeting, he reviews projects as emblematic as the bridge that connects Laredo with Santoña in the Puntal area. From there, he shares his progress in a delightful interview. Don’t miss it.”<i> (English captions available)</i></i></p> <div class="video-container"> <iframe width="560" height="315" src="https://www.youtube.com/embed/aiDH-qQnBqs" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" allowfullscreen=""></iframe> </div> <p><br><br></p> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
+<!DOCTYPE html> <html lang="en"> <head> <meta http-equiv="Content-Type" content="text/html; charset=UTF-8"> <meta charset="utf-8"> <meta name="viewport" content="width=device-width, initial-scale=1, shrink-to-fit=no"> <meta http-equiv="X-UA-Compatible" content="IE=edge"> <title> Videos | Mario de Lucio's website </title> <meta name="author" content="Mario de Lucio"> <meta name="description" content="Animations and videos"> <meta name="keywords" content="Computational Mechanics, Multiphysics Simulation, Biomechanics, Transport phenomena"> <link rel="stylesheet" href="/assets/css/bootstrap.min.css?a4b3f509e79c54a512b890d73235ef04"> <link rel="stylesheet" href="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/css/mdb.min.css" integrity="sha256-jpjYvU3G3N6nrrBwXJoVEYI/0zw8htfFnhT9ljN3JJw=" crossorigin="anonymous"> <link defer rel="stylesheet" href="/assets/css/academicons.min.css?f0b7046b84e425c55f3463ac249818f5"> <link defer rel="stylesheet" type="text/css" href="https://fonts.googleapis.com/css?family=Roboto:300,400,500,700|Roboto+Slab:100,300,400,500,700|Material+Icons&amp;display=swap"> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-github.css?591dab5a4e56573bf4ef7fd332894c99" media="" id="highlight_theme_light"> <link rel="shortcut icon" href="/assets/img/webicon.png?b6c2349ccb452e30289be5faff27b580"> <link rel="stylesheet" href="/assets/css/main.css?d41d8cd98f00b204e9800998ecf8427e"> <link rel="canonical" href="https://mdeluci.github.io/videos/"> <script src="/assets/js/theme.js?9a0c749ec5240d9cda97bc72359a72c0"></script> <link defer rel="stylesheet" href="/assets/css/jekyll-pygments-themes-native.css?5847e5ed4a4568527aa6cfab446049ca" media="none" id="highlight_theme_dark"> <script>initTheme();</script> </head> <body class="fixed-top-nav "> <header> <nav id="navbar" class="navbar navbar-light navbar-expand-sm fixed-top" role="navigation"> <div class="container"> <a class="navbar-brand title font-weight-lighter" href="/"> Mario de Lucio's website </a> <button class="navbar-toggler collapsed ml-auto" type="button" data-toggle="collapse" data-target="#navbarNav" aria-controls="navbarNav" aria-expanded="false" aria-label="Toggle navigation"> <span class="sr-only">Toggle navigation</span> <span class="icon-bar top-bar"></span> <span class="icon-bar middle-bar"></span> <span class="icon-bar bottom-bar"></span> </button> <div class="collapse navbar-collapse text-right" id="navbarNav"> <ul class="navbar-nav ml-auto flex-nowrap"> <li class="nav-item "> <a class="nav-link" href="/">About </a> </li> <li class="nav-item "> <a class="nav-link" href="/publications/">Publications </a> </li> <li class="nav-item "> <a class="nav-link" href="/blog/">Blog </a> </li> <li class="nav-item "> <a class="nav-link" href="/cv/">CV </a> </li> <li class="nav-item "> <a class="nav-link" href="/teaching/">Teaching </a> </li> <li class="nav-item active"> <a class="nav-link" href="/videos/">Videos <span class="sr-only">(current)</span> </a> </li> <li class="nav-item"> <button id="search-toggle" title="Search" onclick="openSearchModal()"> <span class="nav-link">ctrl k <i class="ti ti-search"></i></span> </button> </li> <li class="toggle-container"> <button id="light-toggle" title="Change theme"> <i class="ti ti-sun-moon" id="light-toggle-system"></i> <i class="ti ti-moon-filled" id="light-toggle-dark"></i> <i class="ti ti-sun-filled" id="light-toggle-light"></i> </button> </li> </ul> </div> </div> </nav> <progress id="progress" value="0"> <div class="progress-container"> <span class="progress-bar"></span> </div> </progress> </header> <div class="container mt-5" role="main"> <div class="post"> <header class="post-header"> <h1 class="post-title">Videos</h1> <p class="post-description">Animations and videos</p> </header> <article> <h4 id="2024-robert-j-melosh-medal-competition--mario-de-lucio">2024 Robert J. Melosh Medal Competition || Mario de Lucio</h4> <p style="text-align: justify;"> Talk by Dr. de Lucio at the 2024 Annual Robert J. Melosh Medal Competition for the Best Student Paper on Finite Element Analysis held at Duke University on October 14th. </p> <div class="video-container"> <iframe width="560" height="315" src="https://www.youtube.com/embed/WyP79u2AvNo" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" allowfullscreen=""></iframe> </div> <p><br><br></p> <h4 id="poromechanical-modeling-and-numerical-simulation-of-subcutaneous-injection-of-monoclonal-antibodies">Poromechanical modeling and numerical simulation of subcutaneous injection of monoclonal antibodies</h4> <p style="text-align: justify;"> Talk by Mario de Lucio at the Computational Interdisciplinary Graduate Programs (CIGP) Fall 2023 Symposium Seminar. </p> <div class="video-container"> <iframe width="560" height="315" src="https://www.youtube.com/embed/6yFBMedcIT8" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" allowfullscreen=""></iframe> </div> <p><br><br></p> <h4 id="fluid-structure-interaction-simulation-of-an-abdominal-aortic-aneurysm">Fluid-structure interaction simulation of an abdominal aortic aneurysm</h4> <p style="text-align: justify;"> Coupled fluid-solid approach to modeling pulsatile blood flow in aneurysmal arteries using the Arbitrarian Lagrangian Eulerian (ALE) strategy. The solid part is considered as hyperelastic anisotropic by means of the HGO model with two families of collagen fibers helically arranged. Simulations performed during my master's studies at Universidade da Coruna </p> <div class="video-container"> <iframe width="560" height="315" src="https://www.youtube.com/embed/Q7G-yB3iWwQ" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" allowfullscreen=""></iframe> </div> <p><br><br></p> <h4 id="a-pejino-engineer-in-the-global-pharmaceutical-elite-mario-de-lucio">A ‘pejino’ engineer in the global pharmaceutical elite: Mario de Lucio.</h4> <p>Interview by a local TV from Laredo, Cantabria, Spain, where I talk about my carreer and future endeavors as an engineer in the US. <i>“About to culminate his Ph.D. at Purdue University in the state of Indiana, USA, the young “pejino” Mario de Lucio returns home for a brief parenthesis before adding another milestone to an astonishing trajectory for his age. In this meeting, he reviews projects as emblematic as the bridge that connects Laredo with Santoña in the Puntal area. From there, he shares his progress in a delightful interview. Don’t miss it.”<i> (English captions available)</i></i></p> <div class="video-container"> <iframe width="560" height="315" src="https://www.youtube.com/embed/aiDH-qQnBqs" title="YouTube video player" frameborder="0" allow="accelerometer; autoplay; clipboard-write; encrypted-media; gyroscope; picture-in-picture; web-share" allowfullscreen=""></iframe> </div> <p><br><br></p> </article> </div> </div> <footer class="fixed-bottom" role="contentinfo"> <div class="container mt-0"> © Copyright 2024 Mario de Lucio. </div> </footer> <script src="https://cdn.jsdelivr.net/npm/jquery@3.6.0/dist/jquery.min.js" integrity="sha256-/xUj+3OJU5yExlq6GSYGSHk7tPXikynS7ogEvDej/m4=" crossorigin="anonymous"></script> <script src="/assets/js/bootstrap.bundle.min.js"></script> <script src="https://cdn.jsdelivr.net/npm/mdbootstrap@4.20.0/js/mdb.min.js" integrity="sha256-NdbiivsvWt7VYCt6hYNT3h/th9vSTL4EDWeGs5SN3DA=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/masonry-layout@4.2.2/dist/masonry.pkgd.min.js" integrity="sha256-Nn1q/fx0H7SNLZMQ5Hw5JLaTRZp0yILA/FRexe19VdI=" crossorigin="anonymous"></script> <script defer src="https://cdn.jsdelivr.net/npm/imagesloaded@5.0.0/imagesloaded.pkgd.min.js" integrity="sha256-htrLFfZJ6v5udOG+3kNLINIKh2gvoKqwEhHYfTTMICc=" crossorigin="anonymous"></script> <script defer src="/assets/js/masonry.js" type="text/javascript"></script> <script defer src="https://cdn.jsdelivr.net/npm/medium-zoom@1.1.0/dist/medium-zoom.min.js" integrity="sha256-ZgMyDAIYDYGxbcpJcfUnYwNevG/xi9OHKaR/8GK+jWc=" crossorigin="anonymous"></script> <script defer src="/assets/js/zoom.js?85ddb88934d28b74e78031fd54cf8308"></script> <script src="/assets/js/no_defer.js?2781658a0a2b13ed609542042a859126"></script> <script defer src="/assets/js/common.js?06cae41083477f121be8cd9797ad8e2f"></script> <script defer src="/assets/js/copy_code.js?12775fdf7f95e901d7119054556e495f" type="text/javascript"></script> <script defer src="/assets/js/jupyter_new_tab.js?d9f17b6adc2311cbabd747f4538bb15f"></script> <script async src="https://d1bxh8uas1mnw7.cloudfront.net/assets/embed.js"></script> <script async src="https://badge.dimensions.ai/badge.js"></script> <script type="text/javascript">window.MathJax={tex:{tags:"ams"}};</script> <script defer type="text/javascript" id="MathJax-script" src="https://cdn.jsdelivr.net/npm/mathjax@3.2.0/es5/tex-mml-chtml.min.js" integrity="sha256-rjmgmaB99riUNcdlrDtcAiwtLIojSxNyUFdl+Qh+rB4=" crossorigin="anonymous"></script> <script defer src="https://cdnjs.cloudflare.com/polyfill/v3/polyfill.min.js?features=es6" crossorigin="anonymous"></script> <script type="text/javascript">function progressBarSetup(){"max"in document.createElement("progress")?(initializeProgressElement(),$(document).on("scroll",function(){progressBar.attr({value:getCurrentScrollPosition()})}),$(window).on("resize",initializeProgressElement)):(resizeProgressBar(),$(document).on("scroll",resizeProgressBar),$(window).on("resize",resizeProgressBar))}function getCurrentScrollPosition(){return $(window).scrollTop()}function initializeProgressElement(){let e=$("#navbar").outerHeight(!0);$("body").css({"padding-top":e}),$("progress-container").css({"padding-top":e}),progressBar.css({top:e}),progressBar.attr({max:getDistanceToScroll(),value:getCurrentScrollPosition()})}function getDistanceToScroll(){return $(document).height()-$(window).height()}function resizeProgressBar(){progressBar.css({width:getWidthPercentage()+"%"})}function getWidthPercentage(){return getCurrentScrollPosition()/getDistanceToScroll()*100}const progressBar=$("#progress");window.onload=function(){setTimeout(progressBarSetup,50)};</script> <script src="/assets/js/vanilla-back-to-top.min.js?f40d453793ff4f64e238e420181a1d17"></script> <script>addBackToTop();</script> <script type="module" src="/assets/js/search/ninja-keys.min.js?601a2d3465e2a52bec38b600518d5f70"></script> <ninja-keys hidebreadcrumbs noautoloadmdicons placeholder="Type to start searching"></ninja-keys> <script>let searchTheme=determineComputedTheme();const ninjaKeys=document.querySelector("ninja-keys");"dark"===searchTheme?ninjaKeys.classList.add("dark"):ninjaKeys.classList.remove("dark");const openSearchModal=()=>{const e=$("#navbarNav");e.hasClass("show")&&e.collapse("hide"),ninjaKeys.open()};</script> <script>const ninja=document.querySelector("ninja-keys");ninja.data=[{id:"nav-about",title:"About",section:"Navigation",handler:()=>{window.location.href="/"}},{id:"nav-publications",title:"Publications",description:"Ordered by most recent.",section:"Navigation",handler:()=>{window.location.href="/publications/"}},{id:"nav-blog",title:"Blog",description:"",section:"Navigation",handler:()=>{window.location.href="/blog/"}},{id:"nav-cv",title:"CV",description:"",section:"Navigation",handler:()=>{window.location.href="/cv/"}},{id:"nav-teaching",title:"Teaching",description:"",section:"Navigation",handler:()=>{window.location.href="/teaching/"}},{id:"nav-videos",title:"Videos",description:"Animations and videos",section:"Navigation",handler:()=>{window.location.href="/videos/"}},{id:"post-phase-field-modeling-of-dendritic-solidification",title:"Phase-field Modeling of Dendritic Solidification",description:"we solve a phase-field model of dendritic soldification with surface tension anisotropy by means of isogeometric analysis.",section:"Posts",handler:()=>{window.location.href="/blog/2024/Solidification/"}},{id:"post-solving-the-cahn-hilliard-equation-on-complex-geometries",title:"Solving the Cahn-Hilliard equation on complex geometries",description:"We solve the Cahn-Hilliard equation on a quarter of annulus by means of isogeometric analysis. We adopt the split form of the equation to avoid introducing fourth-order operators and facilitate the imposition of the boundary conditions on the circular geometry,",section:"Posts",handler:()=>{window.location.href="/blog/2024/CahnHilliard/"}},{id:"news-mario-de-lucio-is-selected-as-a-2024-robert-j-melosh-medal-finalist",title:"Mario de Lucio is selected as a 2024 Robert J. Melosh Medal Finalist",description:"",section:"News",handler:()=>{window.location.href="/news/Melosh/"}},{id:"news-our-research-on-mab-transport-featured-by-the-pittsburgh-supercomputing-center",title:"Our Research on mAb Transport Featured by the Pittsburgh Supercomputing Center",description:"",section:"News",handler:()=>{window.location.href="/news/PSC/"}},{id:"news-our-paper-on-a-mpet2-mpbpk-model-for-subcutaneous-injection-of-biotherapeutics-with-different-molecular-weights-has-been-published-in-computer-methods-and-programs-in-biomedicine",title:"Our paper on a MPET2-mPBPK model for subcutaneous injection of biotherapeutics with different molecular weights has been published in Computer Methods and Programs in Biomedicine.",description:"",section:"News",handler:()=>{window.location.href="/news/MPET2_PK/"}},{id:"news-our-paper-on-modeling-drug-transport-and-absorption-in-subcutaneous-injection-of-monoclonal-antibodies-just-got-published-in-the-international-journal-of-pharmaceutics",title:"Our paper on modeling drug transport and absorption in subcutaneous injection of monoclonal antibodies just got published in the International Journal of Pharmaceutics",description:"",section:"News",handler:()=>{window.location.href="/news/NewPaperIJF/"}},{id:"news-mario-succesfully-defended-his-phd-thesis",title:"Mario succesfully defended his PhD thesis",description:"",section:"News",handler:()=>{window.location.href="/news/Thesis_defense/"}},{id:"news-mario-is-awarded-the-ben-m-hillberry-graduate-scholarship",title:"Mario is awarded the Ben M. Hillberry Graduate Scholarship",description:"",section:"News",handler:()=>{window.location.href="/news/Hillberry/"}},{id:"news-mario-de-lucio-is-selected-as-a-2023-trailblazers-in-engineering-fellow-by-purdue-college-of-engineering",title:"Mario de Lucio is selected as a 2023 Trailblazers in Engineering Fellow by Purdue College of Engineering.",description:"",section:"News",handler:()=>{window.location.href="/news/TBE/"}},{id:"news-mario-de-lucio-wins-the-runner-up-award-in-the-poromechanics-student-competition-at-the-engineering-mechanics-institute-conference-in-atlanta-ga",title:"Mario de Lucio wins the Runner-up award in the Poromechanics student competition at the Engineering Mechanics Institute Conference in Atlanta, GA.",description:"",section:"News",handler:()=>{window.location.href="/news/EMI/"}},{id:"projects-project-1",title:"project 1",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/1_project/"}},{id:"projects-project-2",title:"project 2",description:"a project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/2_project/"}},{id:"projects-project-3-with-very-long-name",title:"project 3 with very long name",description:"a project that redirects to another website",section:"Projects",handler:()=>{window.location.href="/projects/3_project/"}},{id:"projects-project-4",title:"project 4",description:"another without an image",section:"Projects",handler:()=>{window.location.href="/projects/4_project/"}},{id:"projects-project-5",title:"project 5",description:"a project with a background image",section:"Projects",handler:()=>{window.location.href="/projects/5_project/"}},{id:"projects-project-6",title:"project 6",description:"a project with no image",section:"Projects",handler:()=>{window.location.href="/projects/6_project/"}},{id:"projects-project-7",title:"project 7",description:"with background image",section:"Projects",handler:()=>{window.location.href="/projects/7_project/"}},{id:"projects-project-8",title:"project 8",description:"an other project with a background image and giscus comments",section:"Projects",handler:()=>{window.location.href="/projects/8_project/"}},{id:"projects-project-9",title:"project 9",description:"another project with an image \ud83c\udf89",section:"Projects",handler:()=>{window.location.href="/projects/9_project/"}},{id:"socials-email",title:"Send email",section:"Socials",handler:()=>{window.open("mailto:%6D%64%65%6C%75%63%69@%70%75%72%64%75%65.%65%64%75","_blank")}},{id:"socials-orcid",title:"ORCID",section:"Socials",handler:()=>{window.open("https://orcid.org/0000-0003-1168-2249","_blank")}},{id:"socials-google-scholar",title:"Google Scholar",section:"Socials",handler:()=>{window.open("https://scholar.google.com/citations?user=ykpA5ZsAAAAJ","_blank")}},{id:"socials-researchgate",title:"ResearchGate",section:"Socials",handler:()=>{window.open("https://www.researchgate.net/profile/Mario-De-Lucio/","_blank")}},{id:"socials-github",title:"GitHub",section:"Socials",handler:()=>{window.open("https://github.com/mdeluci","_blank")}},{id:"socials-linkedin",title:"LinkedIn",section:"Socials",handler:()=>{window.open("https://www.linkedin.com/in/mario-de-lucio","_blank")}},{id:"light-theme",title:"Change theme to light",description:"Change the theme of the site to Light",section:"Theme",handler:()=>{setThemeSetting("light")}},{id:"dark-theme",title:"Change theme to dark",description:"Change the theme of the site to Dark",section:"Theme",handler:()=>{setThemeSetting("dark")}},{id:"system-theme",title:"Use system default theme",description:"Change the theme of the site to System Default",section:"Theme",handler:()=>{setThemeSetting("system")}}];</script> <script src="/assets/js/shortcut-key.js"></script> </body> </html>
\ No newline at end of file
