Special Session 85: Transport processes in biology: Modelling and analysis
Contents
In this talk the one-dimensional Keller-Segel chemotaxis system in a random heterogeneous domain will be considered. It is assumed that the diffusion and chemotaxis coefficients are given by stationary ergodic processes. Methods pertaining to stochastic two-scale convergence are applied to derive the homogenized macroscopic equations. Special attention is paid to developing numerical algorithms for approximating the homogenized asymptotic coefficients.