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{Degond:2020:10.3934/nhm.2020003,
author = {Degond, P and Hecht, S and Vauchelet, N},
doi = {10.3934/nhm.2020003},
journal = {Networks and Heterogeneous Media},
pages = {57--85},
title = {Incompressible limit of a continuum model of tissue growth for two cell populations},
url = {http://dx.doi.org/10.3934/nhm.2020003},
volume = {15},
year = {2020}
}

RIS format (EndNote, RefMan)

TY  - JOUR
AB - This paper investigates the incompressible limit of a system modelling the growth oftwo cells population. The model describes the dynamics of cell densities, driven by pressureexclusion and cell proliferation. It has been shown that solutions to this system of partialdifferential equations have the segregation property, meaning that two population initiallysegregated remain segregated. This work is devoted to the incompressible limit of suchsystem towards a free boundary Hele Shaw type model for two cell populations.
AU - Degond,P
AU - Hecht,S
AU - Vauchelet,N
DO - 10.3934/nhm.2020003
EP - 85
PY - 2020///
SN - 1556-1801
SP - 57
TI - Incompressible limit of a continuum model of tissue growth for two cell populations
T2 - Networks and Heterogeneous Media
UR - http://dx.doi.org/10.3934/nhm.2020003
UR - https://www.aimsciences.org/article/doi/10.3934/nhm.2020003
UR - http://hdl.handle.net/10044/1/73463
VL - 15
ER -