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arXiv · 2404.11251

Travelling waves in a minimal go-or-grow model of cell invasion

Carles Falcó·Rebecca M. Crossley·Ruth E. Baker
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Abstract

We consider a minimal go-or-grow model of cell invasion, whereby cells can either proliferate, following logistic growth, or move, via linear diffusion, and phenotypic switching between these two states is density-dependent. Formal analysis in the fast switching regime shows that the total cell density in the two-population go-or-grow model can be described in terms of a single reaction-diffusion equation with density-dependent diffusion and proliferation. Using the connection to single-population models, we study travelling wave solutions, showing that the wave speed in the go-or-grow model is always bounded by the wave speed corresponding to the well-known Fisher-KPP equation.

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Carles Falcó, Rebecca M. Crossley, Ruth E. Baker. 2024-04-17. Travelling waves in a minimal go-or-grow model of cell invasion. https://arxiv.org/abs/2404.11251

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