Modelling pattern formation through differential repulsion
Analysis of PDEs
2019-06-04 v1 Numerical Analysis
Abstract
Motivated by experiments on cell segregation, we present a two-species model of interacting particles, aiming at a quantitative description of this phenomenon. Under precise scaling hypothesis, we derive from the microscopic model a macroscopic one and we analyze it. In particular, we determine the range of parameters for which segregation is expected. We compare our analytical results and numerical simulations of the macroscopic model to direct simulations of the particles, and comment on possible links with experiments.
Cite
@article{arxiv.1906.00704,
title = {Modelling pattern formation through differential repulsion},
author = {J. Barré and P. Degond and D. Peurichard and E. Zatorska},
journal= {arXiv preprint arXiv:1906.00704},
year = {2019}
}