IMA Postdoc Seminar (December 15, 2009)

Speaker: Kang, Hye-Won (Dept. Math., U of M)

Title: The optimal size for space discretization in spatially nonuniform reaction-diffusion systems.

Abstract: In this talk, I will discuss how to discretize space to model stochastic reaction-diffusion systems. A system with chemical reactions and diffusion is modeled using a continuous time Markov jump process. Diffusion is described as a jump to the neighboring compartments with proper spatial discretization. Considering stationary mean and variance of each species in each compartment, the optimal size for spatial discretization will be suggested. Then, I will show criteria to discretize the corresponding deterministic reaction-diffusion equation for concentration of species. The optimal size for spatial discretization obtained from the deterministic case coincides with the result of the stochastic case. This is a joint work with Hans Othmer and Likun Zheng.