Accounting for dimensional differences in stochastic domain invasion with applications to precancerous cell removal

Woolley, Thomas ORCID: https://orcid.org/0000-0001-6225-5365, Hill, William and Hogan, Catherine ORCID: https://orcid.org/0000-0002-1012-0896 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
Date Type:	Publication
Status:	Published
Schools:	Schools > Biosciences Schools > Mathematics Research Institutes & Centres > European Cancer Stem Cell Research Institute (ECSCRI)
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:	02 Jul 2023 10:41
URI:	https://orca.cardiff.ac.uk/id/eprint/146035

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