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.