Modelling pattern formation through differential repulsion - Archive ouverte HAL Access content directly
Journal Articles Networks and Heterogeneous Media Year : 2020

Modelling pattern formation through differential repulsion


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.
Fichier principal
Vignette du fichier
1906.00704.pdf (8.24 Mo) Télécharger le fichier
Origin : Files produced by the author(s)

Dates and versions

hal-02499520 , version 1 (05-03-2020)



Julien Barre, Pierre Degond, Diane Peurichard, Ewelina Zatorska. Modelling pattern formation through differential repulsion. Networks and Heterogeneous Media, 2020, 15 (3), pp.307-352. ⟨10.3934/nhm.2020021⟩. ⟨hal-02499520⟩
71 View
24 Download



Gmail Facebook X LinkedIn More