On interfaces between cell populations with different mobilities
Abstract
Partial differential equations describing the dynamics of cell population densities from a fluid mechanical perspective can model the growth of avascular tumours. In this framework, we consider a system of equations that describes the interaction between a population of dividing cells and a population of non-dividing cells. The two cell populations are characterised by different mobilities. We present the results of numerical simulations displaying two-dimensional spherical waves with sharp interfaces between dividing and non-dividing cells. Furthermore, we numerically observe how different ratios between the mobilities change the morphology of the interfaces, and lead to the emergence of finger-like patterns of invasion above a threshold. Motivated by these simulations, we study the existence of one-dimensional travelling wave solutions.
Citation
Lorenzi , T , Lorz , A & Perthame , B 2017 , ' On interfaces between cell populations with different mobilities ' , Kinetic and Related Models , vol. 10 , no. 1 , pp. 299-311 . https://doi.org/10.3934/krm.2017012
Publication
Kinetic and Related Models
Status
Peer reviewed
ISSN
1937-5093Type
Journal article
Collections
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