Travelling waves in a minimal go-or-grow model of cell invasion
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arXiv
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| Autori principali: | , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866916210225971200 |
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| author | Falcó, Carles Crossley, Rebecca M. Baker, Ruth E. |
| author_facet | Falcó, Carles Crossley, Rebecca M. Baker, Ruth E. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2404_11251 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Travelling waves in a minimal go-or-grow model of cell invasion Falcó, Carles Crossley, Rebecca M. Baker, Ruth E. Analysis of PDEs Cell Behavior 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. |
| title | Travelling waves in a minimal go-or-grow model of cell invasion |
| topic | Analysis of PDEs Cell Behavior |
| url | https://arxiv.org/abs/2404.11251 |