{"id":32,"date":"2017-02-16T13:23:52","date_gmt":"2017-02-16T17:23:52","guid":{"rendered":"http:\/\/sites.nd.edu\/ajilkine\/?page_id=32"},"modified":"2022-12-12T16:15:57","modified_gmt":"2022-12-12T20:15:57","slug":"research","status":"publish","type":"page","link":"https:\/\/sites.nd.edu\/ajilkine\/research\/","title":{"rendered":"Research"},"content":{"rendered":"<p>The focus of my research is on the formulation, analysis, and numerical simulation of mathematical models of spatial and temporal phenomena in Mathematical Cell Biology.<\/p>\n<p>The mathematical tools I use \u00a0include partial differential equations (PDEs), ordinary differential equations (ODEs) and stochastic models to understand how biological systems organize to perform various functions. \u00a0If you are a graduate or undergraduate student interested in working on these problems, please contact me.<\/p>\n<p>My specific research interests include:<\/p>\n<ul>\n<li>Mathematical modelling of cell lineages and optimal division patterns for delaying cancer<\/li>\n<li>Modelling stem cell renewal and differentiation<\/li>\n<li>Cell fate determination<\/li>\n<li>Spatiotemporal behaviour of biochemical circuits<\/li>\n<li>Modelling of cell polarization<\/li>\n<\/ul>\n<h3>Funding<\/h3>\n<h4><strong>My research is supported by NSF DMS-2052687.<\/strong><\/h4>\n","protected":false},"excerpt":{"rendered":"<p>The focus of my research is on the formulation, analysis, and numerical simulation of mathematical models of spatial and temporal phenomena in Mathematical Cell Biology. The mathematical tools I use \u00a0include partial differential equations (PDEs), ordinary differential equations (ODEs) and stochastic models to understand how biological systems organize to perform various functions. \u00a0If you are [&hellip;]<\/p>\n","protected":false},"author":2327,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_monsterinsights_skip_tracking":false,"footnotes":""},"class_list":["post-32","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/sites.nd.edu\/ajilkine\/wp-json\/wp\/v2\/pages\/32","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/sites.nd.edu\/ajilkine\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/sites.nd.edu\/ajilkine\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/ajilkine\/wp-json\/wp\/v2\/users\/2327"}],"replies":[{"embeddable":true,"href":"https:\/\/sites.nd.edu\/ajilkine\/wp-json\/wp\/v2\/comments?post=32"}],"version-history":[{"count":5,"href":"https:\/\/sites.nd.edu\/ajilkine\/wp-json\/wp\/v2\/pages\/32\/revisions"}],"predecessor-version":[{"id":71,"href":"https:\/\/sites.nd.edu\/ajilkine\/wp-json\/wp\/v2\/pages\/32\/revisions\/71"}],"wp:attachment":[{"href":"https:\/\/sites.nd.edu\/ajilkine\/wp-json\/wp\/v2\/media?parent=32"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}