Modelling biological invasions: Individual to population scales at interfaces

Handle URI:
http://hdl.handle.net/10754/598867
Title:
Modelling biological invasions: Individual to population scales at interfaces
Authors:
Belmonte-Beitia, J.; Woolley, T.E.; Scott, J.G.; Maini, P.K.; Gaffney, E.A.
Abstract:
Extracting the population level behaviour of biological systems from that of the individual is critical in understanding dynamics across multiple scales and thus has been the subject of numerous investigations. Here, the influence of spatial heterogeneity in such contexts is explored for interfaces with a separation of the length scales characterising the individual and the interface, a situation that can arise in applications involving cellular modelling. As an illustrative example, we consider cell movement between white and grey matter in the brain which may be relevant in considering the invasive dynamics of glioma. We show that while one can safely neglect intrinsic noise, at least when considering glioma cell invasion, profound differences in population behaviours emerge in the presence of interfaces with only subtle alterations in the dynamics at the individual level. Transport driven by local cell sensing generates predictions of cell accumulations along interfaces where cell motility changes. This behaviour is not predicted with the commonly used Fickian diffusion transport model, but can be extracted from preliminary observations of specific cell lines in recent, novel, cryo-imaging. Consequently, these findings suggest a need to consider the impact of individual behaviour, spatial heterogeneity and especially interfaces in experimental and modelling frameworks of cellular dynamics, for instance in the characterisation of glioma cell motility. © 2013 Elsevier Ltd.
Citation:
Belmonte-Beitia J, Woolley TE, Scott JG, Maini PK, Gaffney EA (2013) Modelling biological invasions: Individual to population scales at interfaces. Journal of Theoretical Biology 334: 1–12. Available: http://dx.doi.org/10.1016/j.jtbi.2013.05.033.
Publisher:
Elsevier BV
Journal:
Journal of Theoretical Biology
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Oct-2013
DOI:
10.1016/j.jtbi.2013.05.033
PubMed ID:
23770401
Type:
Article
ISSN:
0022-5193
Sponsors:
J.B.-B. would like to thank the Centre for Mathematical Biology, Mathematical Institute, Oxford for hospitality during his visit. J.B.-B. is partially supported by grants JC2010-0256BELMONTE (Ministerio de Educación, Spain) MTM2009-13832 (Ministerio de Educación y Ciencia, Spain), MTM2012-31073 (Ministerio de Economía y Competitividad, Spain) and 0118011801 (Universidad de Castilla-La Mancha). This publication was based on work supported in part by Award No KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). We are grateful to an anonymous referee whose remarks were integrated into the final version of the discussion.
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Full metadata record

DC FieldValue Language
dc.contributor.authorBelmonte-Beitia, J.en
dc.contributor.authorWoolley, T.E.en
dc.contributor.authorScott, J.G.en
dc.contributor.authorMaini, P.K.en
dc.contributor.authorGaffney, E.A.en
dc.date.accessioned2016-02-25T13:42:44Zen
dc.date.available2016-02-25T13:42:44Zen
dc.date.issued2013-10en
dc.identifier.citationBelmonte-Beitia J, Woolley TE, Scott JG, Maini PK, Gaffney EA (2013) Modelling biological invasions: Individual to population scales at interfaces. Journal of Theoretical Biology 334: 1–12. Available: http://dx.doi.org/10.1016/j.jtbi.2013.05.033.en
dc.identifier.issn0022-5193en
dc.identifier.pmid23770401en
dc.identifier.doi10.1016/j.jtbi.2013.05.033en
dc.identifier.urihttp://hdl.handle.net/10754/598867en
dc.description.abstractExtracting the population level behaviour of biological systems from that of the individual is critical in understanding dynamics across multiple scales and thus has been the subject of numerous investigations. Here, the influence of spatial heterogeneity in such contexts is explored for interfaces with a separation of the length scales characterising the individual and the interface, a situation that can arise in applications involving cellular modelling. As an illustrative example, we consider cell movement between white and grey matter in the brain which may be relevant in considering the invasive dynamics of glioma. We show that while one can safely neglect intrinsic noise, at least when considering glioma cell invasion, profound differences in population behaviours emerge in the presence of interfaces with only subtle alterations in the dynamics at the individual level. Transport driven by local cell sensing generates predictions of cell accumulations along interfaces where cell motility changes. This behaviour is not predicted with the commonly used Fickian diffusion transport model, but can be extracted from preliminary observations of specific cell lines in recent, novel, cryo-imaging. Consequently, these findings suggest a need to consider the impact of individual behaviour, spatial heterogeneity and especially interfaces in experimental and modelling frameworks of cellular dynamics, for instance in the characterisation of glioma cell motility. © 2013 Elsevier Ltd.en
dc.description.sponsorshipJ.B.-B. would like to thank the Centre for Mathematical Biology, Mathematical Institute, Oxford for hospitality during his visit. J.B.-B. is partially supported by grants JC2010-0256BELMONTE (Ministerio de Educación, Spain) MTM2009-13832 (Ministerio de Educación y Ciencia, Spain), MTM2012-31073 (Ministerio de Economía y Competitividad, Spain) and 0118011801 (Universidad de Castilla-La Mancha). This publication was based on work supported in part by Award No KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST). We are grateful to an anonymous referee whose remarks were integrated into the final version of the discussion.en
dc.publisherElsevier BVen
dc.subjectFisher equationen
dc.subjectGliomaen
dc.subjectHeterogeneous diffusionen
dc.subjectStochastic processen
dc.subjectTumor invasionen
dc.titleModelling biological invasions: Individual to population scales at interfacesen
dc.typeArticleen
dc.identifier.journalJournal of Theoretical Biologyen
dc.contributor.institutionUniversidad de Castilla-La Mancha, Ciudad Real, Spainen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
dc.contributor.institutionH. Lee Moffitt Cancer Center and Research Institute, Tampa, United Statesen
kaust.grant.numberKUK-C1-013-04en

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