Imperial College London


Faculty of Natural SciencesDepartment of Mathematics

Chair in Applied Mathematics



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BibTex format

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 = {},
volume = {15},
year = {2020}

RIS format (EndNote, RefMan)

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 -
UR -
UR -
VL - 15
ER -