Title
Modelling pattern formation through differential repulsion.
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.
Year
DOI
Venue
2020
10.3934/nhm.2020021
NETWORKS AND HETEROGENEOUS MEDIA
Keywords
DocType
Volume
Dynamical networks,aggregation-diffusion equations,kinetic equations,modelling for cell segregation
Journal
15
Issue
ISSN
Citations 
SP3
1556-1801
0
PageRank 
References 
Authors
0.34
0
4
Name
Order
Citations
PageRank
Julien Barré141.23
Pierre Degond225143.75
D. Peurichard300.34
Ewelina Zatorska441.57