Journal article
Travelling waves in a minimal go-or-grow model of cell invasion
- 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.
- Publication status:
- Published
- Peer review status:
- Peer reviewed
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(Preview, Version of record, pdf, 488.1KB, Terms of use)
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- Publisher copy:
- 10.1016/j.aml.2024.109209
Authors
- Publisher:
- Elsevier
- Journal:
- Applied Mathematics Letters More from this journal
- Volume:
- 158
- Article number:
- 109209
- Publication date:
- 2024-07-04
- Acceptance date:
- 2024-07-01
- DOI:
- EISSN:
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1873-5452
- ISSN:
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0893-9659
- Language:
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English
- Keywords:
- Pubs id:
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2011393
- Local pid:
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pubs:2011393
- Deposit date:
-
2024-07-01
Terms of use
- Copyright holder:
- Falcó et al.
- Copyright date:
- 2024
- Rights statement:
- © 2024 The Authors. Published by Elsevier Ltd. This is an open access article under the CC BY license (http://creativecommons.org/licenses/by/4.0/).
- Licence:
- CC Attribution (CC BY)
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