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The impact of phenotypic heterogeneity on chemotactic self-organisation
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dc.contributor.author | Macfarlane, Fiona R. | |
dc.contributor.author | Lorenzi, Tommaso | |
dc.contributor.author | Painter, Kevin J. | |
dc.date.accessioned | 2022-11-07T11:30:10Z | |
dc.date.available | 2022-11-07T11:30:10Z | |
dc.date.issued | 2022-12-01 | |
dc.identifier.citation | Macfarlane , F R , Lorenzi , T & Painter , K J 2022 , ' The impact of phenotypic heterogeneity on chemotactic self-organisation ' , Bulletin of Mathematical Biology , vol. 84 , no. 12 , 143 . https://doi.org/10.1007/s11538-022-01099-z | en |
dc.identifier.issn | 0092-8240 | |
dc.identifier.other | PURE: 281882226 | |
dc.identifier.other | PURE UUID: 1a87930a-48b5-4677-ae02-dfd8ee125ee9 | |
dc.identifier.other | ORCID: /0000-0003-2242-7745/work/122215753 | |
dc.identifier.other | Scopus: 85141187098 | |
dc.identifier.other | WOS: 000877721700002 | |
dc.identifier.uri | https://hdl.handle.net/10023/26308 | |
dc.description | Funding: F.R.M. gratefully acknowledges support from the RSE Saltire Early Career Fellowship ‘Multiscale mathematical modelling of spatial eco-evolutionary cancer dynamics’ (Fellowship No. 1879). T.L. gratefully acknowledges support from the Italian Ministry of University and Research (MUR) through the grant “Dipartimenti di Eccellenza 2018–2022” (Project no. E11G18000350001) and the PRIN 2020 project (No. 2020JLWP23) “Integrated Mathematical Approaches to Socio-Epidemiological Dynamics” (CUP: E15F21005420006). K.J.P. acknowledges “MIUR-Dipartimento di Eccellenza” funding to the Dipartimento Interateneo di Scienze, Progetto e Politiche del Territorio (DIST). | en |
dc.description.abstract | The capacity to aggregate through chemosensitive movement forms a paradigm of self-organisation, with examples spanning cellular and animal systems. A basic mechanism assumes a phenotypically homogeneous population that secretes its own attractant, with the well known system introduced more than five decades ago by Keller and Segel proving resolutely popular in modelling studies. The typical assumption of population phenotypic homogeneity, however, often lies at odds with the heterogeneity of natural systems, where populations may comprise distinct phenotypes that vary according to their chemotactic ability, attractant secretion, etc. To initiate an understanding into how this diversity can impact on autoaggregation, we propose a simple extension to the classical Keller and Segel model, in which the population is divided into two distinct phenotypes: those performing chemotaxis and those producing attractant. Using a combination of linear stability analysis and numerical simulations, we demonstrate that switching between these phenotypic states alters the capacity of a population to self-aggregate. Further, we show that switching based on the local environment (population density or chemoattractant level) leads to diverse patterning and provides a route through which a population can effectively curb the size and density of an aggregate. We discuss the results in the context of real world examples of chemotactic aggregation, as well as theoretical aspects of the model such as global existence and blow-up of solutions. | |
dc.format.extent | 35 | |
dc.language.iso | eng | |
dc.relation.ispartof | Bulletin of Mathematical Biology | en |
dc.rights | Copyright © Crown 2022. This article is licensed under a Creative Commons Attribution 4.0 International License, which permits use, sharing, adaptation, distribution and reproduction in any medium or format, as long as you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons licence, and indicate if changes were made. The images or other third party material in this article are included in the article’s Creative Commons licence, unless indicated otherwise in a credit line to the material. If material is not included in the article’s Creative Commons licence and your intended use is not permitted by statutory regulation or exceeds the permitted use, you will need to obtain permission directly from the copyright holder. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/. | en |
dc.subject | Chemotaxis | en |
dc.subject | Pattern formation | en |
dc.subject | Keller and Segel | en |
dc.subject | Phenotypic diversity | en |
dc.subject | Phenotypic switching | en |
dc.subject | QA Mathematics | en |
dc.subject | QH301 Biology | en |
dc.subject | T-DAS | en |
dc.subject | MCC | en |
dc.subject.lcc | QA | en |
dc.subject.lcc | QH301 | en |
dc.title | The impact of phenotypic heterogeneity on chemotactic self-organisation | en |
dc.type | Journal article | en |
dc.contributor.sponsor | The Royal Society of Edinburgh | en |
dc.description.version | Publisher PDF | en |
dc.contributor.institution | University of St Andrews. Applied Mathematics | en |
dc.identifier.doi | https://doi.org/10.1007/s11538-022-01099-z | |
dc.description.status | Peer reviewed | en |
dc.identifier.grantnumber | 1879 | en |
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