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dc.contributor.authorPham, Kara
dc.contributor.authorChauviere, Arnaud
dc.contributor.authorHatzikirou, Haralambos
dc.contributor.authorLi, Xiangrong
dc.contributor.authorByrne, Helen M.
dc.contributor.authorCristini, Vittorio
dc.contributor.authorLowengrub, John
dc.date.accessioned2016-02-25T12:59:02Z
dc.date.available2016-02-25T12:59:02Z
dc.date.issued2012-01
dc.identifier.citationPham K, Chauviere A, Hatzikirou H, Li X, Byrne HM, et al. (2012) Density-dependent quiescence in glioma invasion: instability in a simple reaction–diffusion model for the migration/proliferation dichotomy. Journal of Biological Dynamics 6: 54–71. Available: http://dx.doi.org/10.1080/17513758.2011.590610.
dc.identifier.issn1751-3758
dc.identifier.issn1751-3766
dc.identifier.pmid22873675
dc.identifier.doi10.1080/17513758.2011.590610
dc.identifier.urihttp://hdl.handle.net/10754/597928
dc.description.abstractGliomas are very aggressive brain tumours, in which tumour cells gain the ability to penetrate the surrounding normal tissue. The invasion mechanisms of this type of tumour remain to be elucidated. Our work is motivated by the migration/proliferation dichotomy (go-or-grow) hypothesis, i.e. the antagonistic migratory and proliferating cellular behaviours in a cell population, which may play a central role in these tumours. In this paper, we formulate a simple go-or-grow model to investigate the dynamics of a population of glioma cells for which the switch from a migratory to a proliferating phenotype (and vice versa) depends on the local cell density. The model consists of two reaction-diffusion equations describing cell migration, proliferation and a phenotypic switch. We use a combination of numerical and analytical techniques to characterize the development of spatio-temporal instabilities and travelling wave solutions generated by our model. We demonstrate that the density-dependent go-or-grow mechanism can produce complex dynamics similar to those associated with tumour heterogeneity and invasion.
dc.description.sponsorshipJ.L., K.P. and X.L. acknowledge support from the National Science Foundation Division of Mathematical Sciences (DMS) and from the National Institutes of Health through grant P50GM76516 for a Centre of Excellence in Systems Biology at the University of California, Irvine. A. C., H. H. and V. C. acknowledge support from The Cullen Trust for Health Care and the National Institute for Health, Integrative Cancer Biology Program: 1U54CA149196, for the Center for Systematic Modeling of Cancer Development. V. C. also acknowledges the National Science Foundation, Division of Mathematical Sciences for grant DMS-0818104. H. B. acknowledges partial support by Award No. KUK-C1-013-04, made by King Abdullah University of Science and Technology (KAUST).
dc.publisherInforma UK Limited
dc.subjectcell migration/proliferation
dc.subjectdiffusion-driven instability
dc.subjectgo-or-grow
dc.subjectspatio-temporal heterogeneity
dc.subjecttravelling wave solutions
dc.subjecttumour invasion
dc.subject.meshCell Cycle
dc.subject.meshCell Movement
dc.subject.meshModels, Biological
dc.titleDensity-dependent quiescence in glioma invasion: instability in a simple reaction–diffusion model for the migration/proliferation dichotomy
dc.typeArticle
dc.identifier.journalJournal of Biological Dynamics
dc.identifier.pmcidPMC3623708
dc.contributor.institutionUC Irvine, Irvine, United States
dc.contributor.institutionUniversity of New Mexico Health Sciences Center, Albuquerque, United States
dc.contributor.institutionUniversity of Nottingham, Nottingham, United Kingdom
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdom
kaust.grant.numberKUK-C1-013-04


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