期刊
NETWORKS AND HETEROGENEOUS MEDIA
卷 15, 期 3, 页码 307-352出版社
AMER INST MATHEMATICAL SCIENCES-AIMS
DOI: 10.3934/nhm.2020021
关键词
Dynamical networks; aggregation-diffusion equations; kinetic equations; modelling for cell segregation
资金
- Engineering and Physical Sciences Research Council (EPSRC) [EP/M006883/1, EP/N014529/1]
- Royal Society through a Royal Society Wolfson Research Merit Award [WM130048]
- Wolfson foundation through a Royal Society Wolfson Research Merit Award [WM130048]
- National Science Foundation (NSF) [RNMS11-07444]
- Polish Government MNiSW research grant 2016-2019 Iuventus Plus [0888/IP3/2016/74]
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.
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