A multiscale model of cell mobility: From a kinetic to a hydrodynamic description

TL;DR

This paper develops a multiscale model for tumor cell migration, linking kinetic and hydrodynamic descriptions, and proves its well-posedness while analyzing its macroscopic behavior through asymptotic analysis.

Contribution

It introduces a novel multiscale model for cell mobility that connects kinetic and hydrodynamic frameworks, with rigorous mathematical validation.

Findings

Proves well-posedness of the proposed model

Derives macroscopic behavior via hydrodynamic limit

Provides insights into tumor cell migration dynamics

Abstract

This paper concerns a model for tumor cell migration through the surrounding extracellular matrix by considering mass balance phenomena involving the chemical interactions produced on the cell surface. The well-posedness of this model is proven. An asymptotic analysis via a suitable hydrodynamic limit completes the description of the macroscopic behaviour.