Young Researchers Workshop: Kinetic theory with applications in physical sciences

A new asymptotic preserving scheme for kinetic chemotaxis models

Seyma Ozcan

North Carolina State University

The cell movements in response to the chemoattractant in a medium are described by the chemotaxis models. The most common models for this phenomenon are the Keller-Segel equations, which can also be derived as a drift-diffusion limit of kinetic equations. These diffusive limits are obtained from nondimensionalized form of kinetic equations by using a parabolic scaling. In this talk, I will present an asymptotic preserving scheme for the kinetic chemotaxis models, in which the numerical scheme that solves the kinetic equations leads to the scheme of the limiting equations.