{"id":593,"date":"2018-05-08T09:57:41","date_gmt":"2018-05-08T08:57:41","guid":{"rendered":"http:\/\/blogs.kent.ac.uk\/seak\/?p=593"},"modified":"2018-05-08T09:57:41","modified_gmt":"2018-05-08T08:57:41","slug":"diana-gave-talk-at-the-university-of-nottingham","status":"publish","type":"post","link":"https:\/\/blogs.kent.ac.uk\/seak\/2018\/05\/08\/diana-gave-talk-at-the-university-of-nottingham\/","title":{"rendered":"Diana gave talk at the University of Nottingham"},"content":{"rendered":"<p>On 25th April Diana gave a talk on <span style=\"color: black;font-family: 'Calibri',sans-serif\">Parameter Redundancy and Identifiability\u00a0at the\u00a0University of Nottingham\u00a0as a joint seminar of the \u00a0Algebra\u00a0and Analysis group and the Statistics\u00a0and Probability group.<\/span><\/p>\n<p>The abstract for the talk was:<\/p>\n<p><span style=\"color: black;font-family: 'Calibri',sans-serif\">Mathematical and statistical models can be used to describe different systems or provide a representation of a process, which are defined by parameters that describe different characteristics that underlie the model. For example, a dynamic system could be used to describe a pharmacokinetic system with a parameter representing the infusion rate of a drug or a statistical model could be used to describe an ecological population, with a parameter describing the survival probability of an animal.\u00a0 Determining or estimating these parameters will provide key information about the underlying process, though it is not always possible to estimate every parameter.\u00a0 Such a problem stems from the inherent structure of a model; for example two parameters could be confounded and only ever appear as a product. This is known as parameter redundancy or the parameters are termed unidentifiable. <\/span><\/p>\n<p><span style=\"color: black;font-family: 'Calibri',sans-serif\">It may not be obvious whether parameters in a model are identifiable. A general method for checking identifiability involves forming a matrix of derivatives and calculating its rank, which can be executed in symbolic algebra packages such as Maple. However for more structurally complex models Maple can run out of memory trying to calculate the rank. This talk discusses two methods to solve this problem. The first uses reparameterisation to simplify the derivative matrix and allow the calculation of the rank, and the second involves calculating the rank numerically.<\/span><\/p>\n<p>&nbsp;<\/p>\n","protected":false},"excerpt":{"rendered":"<p>On 25th April Diana gave a talk on Parameter Redundancy and Identifiability\u00a0at the\u00a0University of Nottingham\u00a0as a joint seminar of the \u00a0Algebra\u00a0and Analysis group and the Statistics\u00a0and Probability group. The abstract for the talk was: Mathematical and statistical models can be used to describe different systems or provide a representation of a process, which are defined [&hellip;]<\/p>\n","protected":false},"author":40695,"featured_media":0,"comment_status":"closed","ping_status":"closed","sticky":false,"template":"","format":"standard","meta":[],"categories":[1],"tags":[],"_links":{"self":[{"href":"https:\/\/blogs.kent.ac.uk\/seak\/wp-json\/wp\/v2\/posts\/593"}],"collection":[{"href":"https:\/\/blogs.kent.ac.uk\/seak\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/blogs.kent.ac.uk\/seak\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/seak\/wp-json\/wp\/v2\/users\/40695"}],"replies":[{"embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/seak\/wp-json\/wp\/v2\/comments?post=593"}],"version-history":[{"count":1,"href":"https:\/\/blogs.kent.ac.uk\/seak\/wp-json\/wp\/v2\/posts\/593\/revisions"}],"predecessor-version":[{"id":594,"href":"https:\/\/blogs.kent.ac.uk\/seak\/wp-json\/wp\/v2\/posts\/593\/revisions\/594"}],"wp:attachment":[{"href":"https:\/\/blogs.kent.ac.uk\/seak\/wp-json\/wp\/v2\/media?parent=593"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/seak\/wp-json\/wp\/v2\/categories?post=593"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/blogs.kent.ac.uk\/seak\/wp-json\/wp\/v2\/tags?post=593"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}