{"id":39,"date":"2016-07-06T14:23:08","date_gmt":"2016-07-06T12:23:08","guid":{"rendered":"http:\/\/localhost\/wordpress\/?page_id=39"},"modified":"2020-04-11T17:20:53","modified_gmt":"2020-04-11T15:20:53","slug":"pdes-and-igem","status":"publish","type":"post","link":"https:\/\/www.wolter.tech\/?p=39","title":{"rendered":"PDEs and iGem"},"content":{"rendered":"<p>One of the first equations I discretized and simulated was the wave equation using a finite difference scheme. I ended up with a simulation, which is quite pretty:<\/p>\n<p><center><div style=\"width: 320px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-39-1\" width=\"320\" height=\"240\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/www.wolter.tech\/wordpress\/wp-content\/uploads\/2016\/07\/pde1.mp4?_=1\" \/><a href=\"https:\/\/www.wolter.tech\/wordpress\/wp-content\/uploads\/2016\/07\/pde1.mp4\">https:\/\/www.wolter.tech\/wordpress\/wp-content\/uploads\/2016\/07\/pde1.mp4<\/a><\/video><\/div><\/center><\/p>\n<p>The biggest PDE project I have done so far was with the Leuven iGem-Team. We simulated the behavior of pattern forming bacteria using pure PDE and a PDE-Agent hybrid models. The pure PDE simulations have been generated by discretizing a modified Keller-Segel system of equations using a finite volume method in Matlab:<\/p>\n<p><center><div style=\"width: 320px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-39-2\" width=\"320\" height=\"240\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/www.wolter.tech\/wordpress\/wp-content\/uploads\/2016\/07\/pdeModKellerSegel.mp4?_=2\" \/><a href=\"https:\/\/www.wolter.tech\/wordpress\/wp-content\/uploads\/2016\/07\/pdeModKellerSegel.mp4\">https:\/\/www.wolter.tech\/wordpress\/wp-content\/uploads\/2016\/07\/pdeModKellerSegel.mp4<\/a><\/video><\/div><\/center><br \/>\nIn order to take cell adhesion into account we created this hybrid model:<\/p>\n<p><center><div style=\"width: 420px;\" class=\"wp-video\"><video class=\"wp-video-shortcode\" id=\"video-39-3\" width=\"420\" height=\"340\" preload=\"metadata\" controls=\"controls\"><source type=\"video\/mp4\" src=\"https:\/\/www.wolter.tech\/wordpress\/wp-content\/uploads\/2016\/07\/pdeAgentHybrid.mp4?_=3\" \/><a href=\"https:\/\/www.wolter.tech\/wordpress\/wp-content\/uploads\/2016\/07\/pdeAgentHybrid.mp4\">https:\/\/www.wolter.tech\/wordpress\/wp-content\/uploads\/2016\/07\/pdeAgentHybrid.mp4<\/a><\/video><\/div><\/center><\/p>\n<p>The international jury in Boston nominated us for the best model award, which means they saw us in the top 5 of overgrad teams in the modeling category.<br \/>\nInterested? Read more here:<br \/>\n<a href=\"https:\/\/2015.igem.org\/Team:KU_Leuven\/Modeling\" target=\"_blank\" rel=\"noopener noreferrer\">Leuven iGem 2015 wiki<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>One of the first equations I discretized and simulated was the wave equation using a finite difference scheme. I ended up with a simulation, which is quite pretty: The biggest PDE project I have done so far was with the Leuven iGem-Team. We simulated the behavior of pattern forming bacteria using pure PDE and a &hellip; <\/p>\n<p class=\"link-more\"><a href=\"https:\/\/www.wolter.tech\/?p=39\" class=\"more-link\">Continue reading<span class=\"screen-reader-text\"> &#8220;PDEs and iGem&#8221;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[24,6],"tags":[20],"class_list":["post-39","post","type-post","status-publish","format-standard","hentry","category-all","category-master-projects","tag-partial-differential-equations","entry"],"_links":{"self":[{"href":"https:\/\/www.wolter.tech\/index.php?rest_route=\/wp\/v2\/posts\/39","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.wolter.tech\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/www.wolter.tech\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/www.wolter.tech\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.wolter.tech\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=39"}],"version-history":[{"count":8,"href":"https:\/\/www.wolter.tech\/index.php?rest_route=\/wp\/v2\/posts\/39\/revisions"}],"predecessor-version":[{"id":372,"href":"https:\/\/www.wolter.tech\/index.php?rest_route=\/wp\/v2\/posts\/39\/revisions\/372"}],"wp:attachment":[{"href":"https:\/\/www.wolter.tech\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=39"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/www.wolter.tech\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=39"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/www.wolter.tech\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=39"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}