Incompressible limit of a continuum model of tissue growth with segregation for two cell populations [article]

Alina Chertock, Pierre Degond, Sophie Hecht, Jean-Paul Vincent
2018 arXiv   pre-print
This paper proposes a model for the growth two interacting populations of cells that do not mix. The dynamics is driven by pressure and cohesion forces on the one hand and proliferation on the other hand. Following earlier works on the single population case, we show that the model approximates a free boundary Hele Shaw type model that we characterise using both analytical and numerical arguments.
arXiv:1804.04090v1 fatcat:4zmk34ucjbgnznjm7y7cxl5yia