Numerical study on a multi-dimensional pressureless Euler-type model with non-local interactions and chemotaxis for collective cell migration
Numerical Analysis
2025-08-06 v1 Numerical Analysis
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.
Cite
@article{arxiv.2508.03439,
title = {Numerical study on a multi-dimensional pressureless Euler-type model with non-local interactions and chemotaxis for collective cell migration},
author = {Marta Menci and Roberto Natalini and Tommaso Tenna},
journal= {arXiv preprint arXiv:2508.03439},
year = {2025}
}