Micro-Macro Derivation of Virus-Chemotaxis Models

Abstract

This paper deals with the micro-macro derivation of virus models coupled with a reaction diffusion models that generates the dynamics in space of the virus particles. The first part of the presentation focuses, starting from [5, 6] on a survey and a critical analysis of some phenomenological models known in the literature. The second part shows how methods of the kinetic theory can be used to model the dynamics of the system treated in our paper. The third part deals with the derivation of macroscopic models from the underlying description, delivered within a general framework of the kinetic theory.