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dc.contributor.authorArdaševa, Aleksandra
dc.contributor.authorGatenby, Robert A.
dc.contributor.authorAnderson, Alexander R. A.
dc.contributor.authorByrne, Helen M.
dc.contributor.authorMaini, Philip K.
dc.contributor.authorLorenzi, Tommaso
dc.identifier.citationArdaševa , A , Gatenby , R A , Anderson , A R A , Byrne , H M , Maini , P K & Lorenzi , T 2020 , ' Evolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environments ' , Journal of Mathematical Biology , vol. 80 , pp. 775–807 .
dc.identifier.otherPURE: 261900544
dc.identifier.otherPURE UUID: af75980c-e301-4503-9401-039c02d51fdc
dc.identifier.otherScopus: 85076527576
dc.identifier.otherWOS: 000494183100002
dc.descriptionFunding: UK Engineering and Physical Sciences Research Council (EPSRC) and the Medical Research Council (MRC) (grant no. EP/L016044/1) (AA).en
dc.description.abstractLiving species, ranging from bacteria to animals, exist in environmental conditions that exhibit spatial and temporal heterogeneity which requires them to adapt. Risk-spreading through spontaneous phenotypic variations is a known concept in ecology, which is used to explain how species may survive when faced with the evolutionary risks associated with temporally varying environments. In order to support a deeper understanding of the adaptive role of spontaneous phenotypic variations in fluctuating environments, we consider a system of non-local partial differential equations modelling the evolutionary dynamics of two competing phenotype-structured populations in the presence of periodically oscillating nutrient levels. The two populations undergo heritable, spontaneous phenotypic variations at different rates. The phenotypic state of each individual is represented by a continuous variable, and the phenotypic landscape of the populations evolves in time due to variations in the nutrient level. Exploiting the analytical tractability of our model, we study the long-time behaviour of the solutions to obtain a detailed mathematical depiction of the evolutionary dynamics. The results suggest that when nutrient levels undergo small and slow oscillations, it is evolutionarily more convenient to rarely undergo spontaneous phenotypic variations. Conversely, under relatively large and fast periodic oscillations in the nutrient levels, which bring about alternating cycles of starvation and nutrient abundance, higher rates of spontaneous phenotypic variations confer a competitive advantage. We discuss the implications of our results in the context of cancer metabolism.
dc.relation.ispartofJournal of Mathematical Biologyen
dc.rights© The Author(s) 2019. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License (, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.en
dc.subjectPeriodically fluctuating enviromentsen
dc.subjectEvolutionary dynamicsen
dc.subjectSpontaneous phenotypic variationen
dc.subjectNon-local partial differential equationsen
dc.subjectQA Mathematicsen
dc.subjectQH301 Biologyen
dc.subjectSDG 3 - Good Health and Well-beingen
dc.titleEvolutionary dynamics of competing phenotype-structured populations in periodically fluctuating environmentsen
dc.typeJournal articleen
dc.description.versionPublisher PDFen
dc.contributor.institutionUniversity of St Andrews. Applied Mathematicsen
dc.description.statusPeer revieweden

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