Density-dependent quiescence in glioma invasion: instability in a simple reaction–diffusion model for the migration/proliferation dichotomy

Handle URI:
http://hdl.handle.net/10754/597928
Title:
Density-dependent quiescence in glioma invasion: instability in a simple reaction–diffusion model for the migration/proliferation dichotomy
Authors:
Pham, Kara; Chauviere, Arnaud; Hatzikirou, Haralambos; Li, Xiangrong; Byrne, Helen M.; Cristini, Vittorio; Lowengrub, John
Abstract:
Gliomas 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.
Citation:
Pham 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.
Publisher:
Informa UK Limited
Journal:
Journal of Biological Dynamics
KAUST Grant Number:
KUK-C1-013-04
Issue Date:
Jan-2012
DOI:
10.1080/17513758.2011.590610
PubMed ID:
22873675
PubMed Central ID:
PMC3623708
Type:
Article
ISSN:
1751-3758; 1751-3766
Sponsors:
J.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).
Appears in Collections:
Publications Acknowledging KAUST Support

Full metadata record

DC FieldValue Language
dc.contributor.authorPham, Karaen
dc.contributor.authorChauviere, Arnauden
dc.contributor.authorHatzikirou, Haralambosen
dc.contributor.authorLi, Xiangrongen
dc.contributor.authorByrne, Helen M.en
dc.contributor.authorCristini, Vittorioen
dc.contributor.authorLowengrub, Johnen
dc.date.accessioned2016-02-25T12:59:02Zen
dc.date.available2016-02-25T12:59:02Zen
dc.date.issued2012-01en
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.en
dc.identifier.issn1751-3758en
dc.identifier.issn1751-3766en
dc.identifier.pmid22873675en
dc.identifier.doi10.1080/17513758.2011.590610en
dc.identifier.urihttp://hdl.handle.net/10754/597928en
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.en
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).en
dc.publisherInforma UK Limiteden
dc.subjectcell migration/proliferationen
dc.subjectdiffusion-driven instabilityen
dc.subjectgo-or-growen
dc.subjectspatio-temporal heterogeneityen
dc.subjecttravelling wave solutionsen
dc.subjecttumour invasionen
dc.subject.meshCell Cycleen
dc.subject.meshCell Movementen
dc.subject.meshModels, Biologicalen
dc.titleDensity-dependent quiescence in glioma invasion: instability in a simple reaction–diffusion model for the migration/proliferation dichotomyen
dc.typeArticleen
dc.identifier.journalJournal of Biological Dynamicsen
dc.identifier.pmcidPMC3623708en
dc.contributor.institutionUC Irvine, Irvine, United Statesen
dc.contributor.institutionUniversity of New Mexico Health Sciences Center, Albuquerque, United Statesen
dc.contributor.institutionUniversity of Nottingham, Nottingham, United Kingdomen
dc.contributor.institutionUniversity of Oxford, Oxford, United Kingdomen
kaust.grant.numberKUK-C1-013-04en

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