Monday, November 9, 2015 (3:00 p.m. in Yost 306)

Title: Stochastic and deterministic models of biochemical reaction networks

Speaker: David F. Anderson (Assistant Professor, Department of Mathematics, University of Wisconsin-Madison)

Hosted by Peter Thomas

Abstract: If the abundances of the constituent molecules of a biochemical reaction system  are sufficiently high then their concentrations are typically modeled by a coupled set of ordinary differential equations (ODEs).  If, however, the abundances are low then the standard deterministic models do not provide a good representation of the behavior of the system and stochastic models are used.  In this talk, I will first introduce both the stochastic and deterministic models.  I will then provide results that allow us to determine the qualitative behavior of the underlying mathematical models from easily checked properties of the associated reaction network.