{"id":22,"date":"2012-09-05T11:22:33","date_gmt":"2012-09-05T15:22:33","guid":{"rendered":"https:\/\/people.clas.ufl.edu\/template\/?page_id=22"},"modified":"2026-03-19T08:16:38","modified_gmt":"2026-03-19T12:16:38","slug":"research","status":"publish","type":"page","link":"https:\/\/people.clas.ufl.edu\/pilyugin\/research\/","title":{"rendered":"Research"},"content":{"rendered":"\r\n<section class=\"fullwidth-text-block\">\r\n\t<div class=\"container px-0 pt-5\">\r\n\t\t<div class=\"row align-items-start\">\r\n\t\t\t<div class=\"col-12\">\r\n\t\t\t\t\n<h1 class=\"wp-block-heading\">Research<\/h1>\n\n\n\n<p>My research spans several areas between mathematics and biology. Trained in differential equations and functional analysis, I gradually acquired a taste for biological applications. My relationship with the biological sciences can be roughly classified as symbiotic (peaceful coexistence). I like to play with other peoples&#8217; data and make excuses for studying some far-fetched theoretical abstractions called &#8220;mathematical models&#8221;. In recent years, I partly succumbed to the popular\u00a0<i>in silico<\/i>\u00a0modeling trend and started playing with computer simulations.<\/p>\n\n\n\n\n\n<p>There is a number of ongoing projects that I am working\/collaborating\/having fun with<\/p>\n\n\n\n<ol class=\"wp-block-list\"><li>Adaptive dynamics of microbial metabolism<\/li>\n<li>Dynamics of controlled bioreactors<img loading=\"lazy\" decoding=\"async\" class=\"size-full wp-image-220 alignright\" alt=\"mice\" src=\"https:\/\/people.clas.ufl.edu\/pilyugin\/files\/mice.jpg\" width=\"145\" height=\"68\"><\/li>\n<li>Evolution of drug resistance in bacteria<\/li>\n<li>Generation and maintenance of immunological memory<\/li>\n<li>Within and between host parasite dynamics with mutations<\/li>\n<li>Theoretical ecology of microbes and parasites<\/li>\n<li>Dynamics of neural networks<\/li><\/ol>\n\n\n\n<p>Biomathematics Group at UF:\u00a0<a title=\"Biomathematics Seminar at UF\" href=\"https:\/\/biomath.math.ufl.edu\/\">https:\/\/biomath.math.ufl.edu\/<\/a><\/p>\n\n\n\r\n\t\t\t<\/div>\r\n\t\t<\/div>\r\n\t<\/div>\r\n<\/section>\r\n","protected":false},"excerpt":{"rendered":"","protected":false},"author":11,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"_acf_changed":false,"featured_post":"","footnotes":"","_links_to":"","_links_to_target":""},"class_list":["post-22","page","type-page","status-publish","hentry"],"acf":[],"_links":{"self":[{"href":"https:\/\/people.clas.ufl.edu\/pilyugin\/wp-json\/wp\/v2\/pages\/22","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/people.clas.ufl.edu\/pilyugin\/wp-json\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/people.clas.ufl.edu\/pilyugin\/wp-json\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/pilyugin\/wp-json\/wp\/v2\/users\/11"}],"replies":[{"embeddable":true,"href":"https:\/\/people.clas.ufl.edu\/pilyugin\/wp-json\/wp\/v2\/comments?post=22"}],"version-history":[{"count":6,"href":"https:\/\/people.clas.ufl.edu\/pilyugin\/wp-json\/wp\/v2\/pages\/22\/revisions"}],"predecessor-version":[{"id":1575,"href":"https:\/\/people.clas.ufl.edu\/pilyugin\/wp-json\/wp\/v2\/pages\/22\/revisions\/1575"}],"wp:attachment":[{"href":"https:\/\/people.clas.ufl.edu\/pilyugin\/wp-json\/wp\/v2\/media?parent=22"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}