Mathematical Biology: from population to molecules

Roger Lui
Department of Mathematics, Worcester Polytechnic Institute

(May 21, 2009 2:30 PM - 3:30 PM)

Mathematical Biology: from population to molecules

Abstract

In this talk, I shall discuss two topics in mathematical biology. The first has to do with stacked fronts (see Roquejoffre, Terman, and Vitaly, SIMA 1996) I will show that for a simple monotone reaction-diffusion system with boundary equilibria, stacked fronts may occur and there is an explicit formula for the spreading speeds. This is joint work with Masato Iida and Hirokazu Ninomiya from Japan. The second topic has to do with reduction method for multiple time scale stochastic reaction network. This is joint work with Chang H. Lee from WPI. (see J. Math. Chem.) The paper assumes that the fast subsystem has unique equilibrium probability and the issue here is what to do when this assumption is not satisfied.