Micro-Macro Derivation of Virus-Chemotaxis Models

TL;DR

This paper derives virus-chemotaxis models from microscopic to macroscopic scales using kinetic theory, providing a systematic framework and critical analysis of existing phenomenological models.

Contribution

It introduces a novel micro-macro derivation approach for virus-chemotaxis models based on kinetic theory, bridging microscopic dynamics and macroscopic descriptions.

Findings

Survey and critical analysis of existing phenomenological models

Application of kinetic theory to model virus dynamics

Derivation of macroscopic models from microscopic descriptions

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.