Transport Models for Collective Dynamics in Biological Systems

Numerical simulation of collective dynamics in a complex geometry

Francis Filbet

Université Claude Bernard de Lyon


We present a new algorithm based on a Cartesian mesh for the numerical approximation of kinetic models for the collective dynamics of bacteria on complex geometry. Indeed, some recent experiments show the influence of the geometry in the transport of bacteria under the influence of a chemo-attractant. Here we propose to develop an inverse Lax-Wendroff procedure, which was recently introduced for kinetic equations. Applications in 2D of this algorithm for Boltzmann type operators (tumble models) are then presented and numerical results illustrate the accuracy properties of this algorithm.