{"id":271,"date":"2013-12-23T14:17:52","date_gmt":"2013-12-23T19:17:52","guid":{"rendered":"http:\/\/reu.ecology.uga.edu\/?p=271"},"modified":"2016-02-25T13:34:23","modified_gmt":"2016-02-25T18:34:23","slug":"how-does-vaccination-distribution-affect-the-ability-to-control-endemic-viral-diseases","status":"publish","type":"post","link":"https:\/\/reu.ecology.uga.edu\/?p=271","title":{"rendered":"Development of deterministic and stochastic models for a T7 phage-E. coli system with vaccination strategy implementation"},"content":{"rendered":"<p style=\"text-align: left;\" align=\"center\">Abigail Smith, from Carnegie Mellon University, worked with Reni Kaul in the lab of Dr. John Drake to develop models to study the effectiveness of vaccination strategies.<b><br \/>\n<\/b><\/p>\n<p align=\"center\">Abigail L. Smith<sup>1<\/sup>, RajReni B. Kaul<sup>2<\/sup> and John M. Drake<sup>2<\/sup><\/p>\n<p align=\"center\"><sup>1<\/sup>Carnegie Mellon University, <sup>2<\/sup>Odum School of Ecology, University of Georgia<\/p>\n<p>Vaccination is widely considered the most effective method of preventing the spread of infectious disease.\u00a0 Pulse vaccination strategy, the repeated application of a vaccine over a defined population at a set time interval is gaining prominence as a strategy for the elimination of diseases such as measles, hepatitis, and smallpox. In order to study the effectiveness of this strategy, a bench experiment will be designed using <i>E.coli <\/i>bacteria and T7 bacteriophage, and studying the interactions and mechanisms in a chemostat. Using this system allows us to study the spread of infectious disease in laboratory setting. To test vaccination in system, a concentration of IPTG will be used to induce expression of the rcsA gene (immunity) in <i>E. coli<\/i>. Results can be generalized from an experimental bench system (<i>E. coli <\/i>bacteria and T7 phage) by developing a deterministic compartmental model, and then factoring in noise to form a stochastic model. Additional classes were added to track phage populations and experiment with vaccination strategy.\u00a0 Preliminary studies were designed to study early warning signs for approaching a bifurcation point and critical slowing down, by examining the phage being driven to extinction.<\/p>\n<p>&nbsp;<\/p>\n<p><code><iframe src=\"\/\/docs.google.com\/viewer?url=http%3A%2F%2Freu.ecology.uga.edu%2Fwp-content%2Fuploads%2F2014%2F10%2Fposter_AbbySmithFINAL.pdf&hl=en_US&embedded=true\" class=\"gde-frame\" style=\"width:100%; height:500px; border: none;\" scrolling=\"no\"><\/iframe>\n<p class=\"gde-text\"><a href=\"http:\/\/reu.ecology.uga.edu\/wp-content\/uploads\/2014\/10\/poster_AbbySmithFINAL.pdf\" class=\"gde-link\">Download (PDF, 683KB)<\/a><\/p><\/code><\/p>\n<p>&nbsp;<\/p>\n<p><span style=\"font-size: medium;\">Photo credit: School of Life Sciences, Gibbet Hill Campus, The University of Warwick, Coventry, CV4 7AL<\/span><\/p>\n<p><a href=\"http:\/\/www2.warwick.ac.uk\/fac\/sci\/lifesci\/research\/facilities\/imaging\/imagegallery\" target=\"_blank\">http:\/\/www2.warwick.ac.uk\/fac\/<wbr \/>sci\/lifesci\/research\/<wbr \/>facilities\/imaging\/<wbr \/>imagegallery<\/a><\/p>\n","protected":false},"excerpt":{"rendered":"<p>Abigail Smith, from Carnegie Mellon University, worked with Reni Kaul in the lab of Dr. John Drake to develop models to study the effectiveness of vaccination strategies. Abigail L. Smith1, RajReni B. Kaul2 and John M. Drake2 1Carnegie Mellon University, 2Odum School of Ecology, University of Georgia Vaccination is widely considered the most effective method<\/p>\n<p class=\"more-link\"><a href=\"https:\/\/reu.ecology.uga.edu\/?p=271\" class=\"themebutton2\">READ MORE<\/a><\/p>\n","protected":false},"author":3,"featured_media":390,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[5],"tags":[14,6],"_links":{"self":[{"href":"https:\/\/reu.ecology.uga.edu\/index.php?rest_route=\/wp\/v2\/posts\/271"}],"collection":[{"href":"https:\/\/reu.ecology.uga.edu\/index.php?rest_route=\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/reu.ecology.uga.edu\/index.php?rest_route=\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/reu.ecology.uga.edu\/index.php?rest_route=\/wp\/v2\/users\/3"}],"replies":[{"embeddable":true,"href":"https:\/\/reu.ecology.uga.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=271"}],"version-history":[{"count":17,"href":"https:\/\/reu.ecology.uga.edu\/index.php?rest_route=\/wp\/v2\/posts\/271\/revisions"}],"predecessor-version":[{"id":853,"href":"https:\/\/reu.ecology.uga.edu\/index.php?rest_route=\/wp\/v2\/posts\/271\/revisions\/853"}],"wp:featuredmedia":[{"embeddable":true,"href":"https:\/\/reu.ecology.uga.edu\/index.php?rest_route=\/wp\/v2\/media\/390"}],"wp:attachment":[{"href":"https:\/\/reu.ecology.uga.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=271"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/reu.ecology.uga.edu\/index.php?rest_route=%2Fwp%2Fv2%2Fcategories&post=271"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/reu.ecology.uga.edu\/index.php?rest_route=%2Fwp%2Fv2%2Ftags&post=271"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}