Year: 2019
Type: preprint
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.
Source: arXiv (Cornell University)
Authors: Barré, J., Degond, P., Peurichard, D., Zatorska, E.
Institutions: Université de Tours, Université d'Orléans, Centre National de la Recherche Scientifique, Institut Universitaire de France, Institut Denis Poisson, Imperial College London, Institut national de recherche en sciences et technologies du numérique, Laboratoire Jacques-Louis Lions, Université Pierre-et-Marie-Curie, University College London
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W2947947040