In conjunction with the interdisciplinary activities of the National Institute for Mathematical and Biological Synthesis (NIMBioS), a seminar series on topics in mathematical biology will be hosted at NIMBioS every other Tuesday at 3:30 p.m. (unless otherwise noted) in the Hallam Auditorium, Room 206, Claxton Building, 1122 Volunteer Blvd. Seminar speakers will focus on their research initiatives at the interface of mathematics and many areas of the life sciences. Light refreshments will be served in the 1st floor visitor breakroom beginning 30 minutes before each talk. Faculty and students from across the UT community are welcome to join us.
Time/Date: Tuesday, Janaury 15, 2013, 3:30 p.m.*
Location: Room 206, Claxton Building, 1122 Volunteer Blvd.
Speaker: Dr. Odo Diekmann, Mathematical Institute, Utrecht University; NIMBioS Postdoctoral Fellows Invited Distinguished Visitor
Topic: How to compute R_0? (The general idea and a complicated example)
Abstract: After introducing some general concepts underlying structured population models, in particular the notions of i-state (i for individual) and i-state-at-birth, I shall focus on the way to deduce generation dynamics from real time dynamics and show how to construct a next-generation matrix from a decomposition of the relevant Jacobi matrix into a transition part and a transmission part. Next I will consider a model for infectious disease transmission on a dynamic sexual network. The population model incorporates demographic turnover as well as, for each individual, a variable number of simultaneous partnerships. The resulting network serves as a template for the transmission of an infectious disease. The first aim is to characterize R_0. The ultimate aim is to shed some light on the impact of concurrency on the spread of HIV. This part of the talk is based on ongoing joint work with KaYin Leung and Mirjam Kretzschmar.
*Join us for refreshments at 3 p.m. in the 1st floor visitor breakroom.
Seminar Flyer (pdf)
For more information about this and other NIMBioS Seminars, visit http://www.nimbios.org/seminars.