Incompressible limit of a continuum model of tissue growth for two cell populations

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Title: Incompressible limit of a continuum model of tissue growth for two cell populations
Authors: Degond, P
Hecht, S
Vauchelet, N
Item Type: Journal Article
Abstract: 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.
Date of Acceptance: 16-Sep-2019
URI: http://hdl.handle.net/10044/1/73463
ISSN: 1556-1801
Publisher: American Institute of Mathematical Sciences
Journal / Book Title: Networks and Heterogeneous Media
Sponsor/Funder: The Royal Society
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Engineering & Physical Science Research Council (EPSRC)
Funder's Grant Number: WM130048
EP/M006883/1
EP/N014529/1
EP/P013651/1
Keywords: Applied Mathematics
Publication Status: Accepted
Embargo Date: Embargoed for 12 months after publication date
Appears in Collections:Mathematics
Applied Mathematics and Mathematical Physics



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