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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.
Cited literature [26 references]
https://hal.inria.fr/hal-01257180
Contributor : Tommaso Lorenzi <>
Submitted on : Friday, January 6, 2017 - 7:03:48 PM
Last modification on : Monday, December 14, 2020 - 3:40:48 PM
Long-term archiving on: : Friday, April 7, 2017 - 5:30:22 PM
Contributor : Tommaso Lorenzi <>
Submitted on : Friday, January 6, 2017 - 7:03:48 PM
Last modification on : Monday, December 14, 2020 - 3:40:48 PM
Long-term archiving on: : Friday, April 7, 2017 - 5:30:22 PM
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Two_cells_TW (1).pdf
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