Numerical study on a multi-dimensional pressureless Euler-type model with non-local interactions and chemotaxis for collective cell migration

TL;DR

This paper presents a numerical analysis of a multi-dimensional macroscopic model for collective cell migration, incorporating non-local interactions and chemotaxis, and compares it with microscopic dynamics to validate its accuracy.

Contribution

It introduces a novel multi-dimensional pressureless Euler-type model with non-local interactions and chemotaxis, including multiple cell populations, derived from microscopic dynamics.

Findings

Model accurately captures collective cell migration behaviors.

Good agreement between macroscopic and microscopic dynamics.

Parameter estimation validates model applicability.

Abstract

In this paper we propose a numerical study of macroscopic models for collective cell migration, focusing on a multi-dimensional pressureless Euler-type model with non-local interactions coupled with chemotaxis, rigorously derived from microscopic dynamics. Different mechanical interactions are investigated, including attraction-repulsion effects. Moreover, the model is extended to the case of different populations of interacting cells. The validity of such macroscopic model and its agreement with the microscopic dynamics is finally assessed through a parameter estimation analysis in a specific setting.