Imperial College London

ProfessorPierreDegond

Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics
 
 
 
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Contact

 

+44 (0)20 7594 1474p.degond Website CV

 
 
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Location

 

6M38Huxley BuildingSouth Kensington Campus

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Summary

 

Publications

Citation

BibTex format

@article{Barré:2020:10.3934/nhm.2020021,
author = {Barré, J and Degond, P and Peurichard, D and Zatorska, E},
doi = {10.3934/nhm.2020021},
journal = {Networks and Heterogeneous Media},
pages = {307--352},
title = {Modelling pattern formation through dierential repulsion},
url = {http://dx.doi.org/10.3934/nhm.2020021},
volume = {15},
year = {2020}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - Motivated by experiments on cell segregation, we present a twospeciesmodel of interacting particles, aiming at a quantitative description ofthis phenomenon. Under precise scaling hypothesis, we derive from the microscopicmodel a macroscopic one and we analyze it. In particular, we determinethe range of parameters for which segregation is expected. We compare ouranalytical results and numerical simulations of the macroscopic model to directsimulations of the particles, and comment on possible links with experiments.
AU - Barré,J
AU - Degond,P
AU - Peurichard,D
AU - Zatorska,E
DO - 10.3934/nhm.2020021
EP - 352
PY - 2020///
SN - 1556-1801
SP - 307
TI - Modelling pattern formation through dierential repulsion
T2 - Networks and Heterogeneous Media
UR - http://dx.doi.org/10.3934/nhm.2020021
UR - http://hdl.handle.net/10044/1/75661
VL - 15
ER -