 |
Free and accessible knowledge |
Journal articles
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.
Cited literature [57 references]
https://hal.archives-ouvertes.fr/hal-02499520
Contributor : Pierre Degond Connect in order to contact the contributor
Submitted on : Thursday, March 5, 2020 - 12:31:55 PM
Last modification on : Thursday, April 7, 2022 - 1:58:30 PM
Long-term archiving on: : Saturday, June 6, 2020 - 2:40:30 PM
Contributor : Pierre Degond Connect in order to contact the contributor
Submitted on : Thursday, March 5, 2020 - 12:31:55 PM
Last modification on : Thursday, April 7, 2022 - 1:58:30 PM
Long-term archiving on: : Saturday, June 6, 2020 - 2:40:30 PM
File
1906.00704.pdf
Files produced by the author(s)