Free and Interfacial Boundaries in Individual-Based Models of Multicellular Biological systems.

Cell boundaries Individual-based models Tissue growth Wound healing

Journal

Bulletin of mathematical biology
ISSN: 1522-9602
Titre abrégé: Bull Math Biol
Pays: United States
ID NLM: 0401404

Informations de publication

Date de publication:
08 10 2023
Historique:
received: 05 06 2023
accepted: 11 09 2023
medline: 26 10 2023
pubmed: 8 10 2023
entrez: 8 10 2023
Statut: epublish

Résumé

Coordination of cell behaviour is key to a myriad of biological processes including tissue morphogenesis, wound healing, and tumour growth. As such, individual-based computational models, which explicitly describe inter-cellular interactions, are commonly used to model collective cell dynamics. However, when using individual-based models, it is unclear how descriptions of cell boundaries affect overall population dynamics. In order to investigate this we define three cell boundary descriptions of varying complexities for each of three widely used off-lattice individual-based models: overlapping spheres, Voronoi tessellation, and vertex models. We apply our models to multiple biological scenarios to investigate how cell boundary description can influence tissue-scale behaviour. We find that the Voronoi tessellation model is most sensitive to changes in the cell boundary description with basic models being inappropriate in many cases. The timescale of tissue evolution when using an overlapping spheres model is coupled to the boundary description. The vertex model is demonstrated to be the most stable to changes in boundary description, though still exhibits timescale sensitivity. When using individual-based computational models one should carefully consider how cell boundaries are defined. To inform future work, we provide an exploration of common individual-based models and cell boundary descriptions in frequently studied biological scenarios and discuss their benefits and disadvantages.

Identifiants

pubmed: 37805982
doi: 10.1007/s11538-023-01214-8
pii: 10.1007/s11538-023-01214-8
pmc: PMC10560655
doi:

Types de publication

Journal Article Research Support, Non-U.S. Gov't

Langues

eng

Sous-ensembles de citation

IM

Pagination

111

Informations de copyright

© 2023. The Author(s).

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Auteurs

Domenic P J Germano (DPJ)

School of Mathematics and Statistics, The University of Melbourne, Parkville, Victoria, 3010, Australia.

Adriana Zanca (A)

School of Mathematics and Statistics, The University of Melbourne, Parkville, Victoria, 3010, Australia.

Stuart T Johnston (ST)

School of Mathematics and Statistics, The University of Melbourne, Parkville, Victoria, 3010, Australia.

Jennifer A Flegg (JA)

School of Mathematics and Statistics, The University of Melbourne, Parkville, Victoria, 3010, Australia.

James M Osborne (JM)

School of Mathematics and Statistics, The University of Melbourne, Parkville, Victoria, 3010, Australia. jmosborne@unimelb.edu.au.

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