Skip to Main content Skip to Navigation
Journal articles

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.
Document type :
Journal articles
Complete list of metadata

Cited literature [26 references]  Display  Hide  Download
Contributor : Tommaso Lorenzi Connect in order to contact the contributor
Submitted on : Friday, January 6, 2017 - 7:03:48 PM
Last modification on : Wednesday, January 12, 2022 - 3:47:17 AM
Long-term archiving on: : Friday, April 7, 2017 - 5:30:22 PM


Two_cells_TW (1).pdf
Files produced by the author(s)


  • HAL Id : hal-01257180, version 2


Tommaso Lorenzi, Alexander Lorz, Benoît Perthame. On interfaces between cell populations with different mobilities. Kinetic and Related Models , AIMS, 2017, 10 (1), pp.299-311. ⟨hal-01257180v2⟩



Les métriques sont temporairement indisponibles