Woolley, Thomas, Hill, William and Hogan, Catherine
2022.
Accounting for dimensional differences in stochastic domain invasion with applications to precancerous cell removal.
Journal of Theoretical Biology
541
, 111024.
10.1016/j.jtbi.2022.111024
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Abstract
We consider a specific form of domain invasion that is an abstraction of pancreatic tissue eliminating precancerous mutant cells through juxtacrine signalling. The model is explored discretely, continuously, stochastically and deterministically, highlighting unforeseen nonlinear dependencies on the dimension of the solution domain. Specifically, stochastically simulated populations invade with a dimension dependent wave speed that can be over twice as fast as their deterministic analogues. Although the wave speed can be analytically derived in the cases of small domains, the probabilistic state space grows exponentially and, thus, we use numeric simulation and curve fitting to predict limiting dynamics.
Item Type: | Article |
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Date Type: | Publication |
Status: | Published |
Schools: | Biosciences Mathematics |
Subjects: | Q Science > Q Science (General) Q Science > QA Mathematics Q Science > QH Natural history > QH301 Biology Q Science > QR Microbiology |
Publisher: | Elsevier |
ISSN: | 0022-5193 |
Date of First Compliant Deposit: | 13 December 2021 |
Date of Acceptance: | 10 January 2022 |
Last Modified: | 18 May 2022 22:04 |
URI: | https://orca.cardiff.ac.uk/id/eprint/146035 |
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