arXiv:1809.05442 Abstract | arXiv Analytics

arXiv:1809.05442 [math.AP]Abstract References Reviews Resources

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

Published 2018-09-14Version 1

This paper investigates the incompressible limit of a system modelling the growth of two cells population. The model describes the dynamics of cell densities, driven by pressure exclusion and cell proliferation. It has been shown that solutions to this system of partial differential equations have the segregation property, meaning that two population initially segregated remain segregated. This work is devoted to the incompressible limit of such system towards a free boundary Hele Shaw type model for two cell populations.

Comments: 26 pages, 3 figures

Categories: math.AP

Subjects: 35K55, 35R35, 65M08, 92C15, 92C10

Keywords: incompressible limit, cell populations, tissue growth, continuum model, boundary hele shaw type model

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