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dc.contributor.authorAlarcon, T.
dc.contributor.authorGetto, P.
dc.contributor.authorNakata, Y.
dc.date.accessioned2016-06-13T13:32:22Z
dc.date.available2016-06-13T13:32:22Z
dc.date.issued2014-12-31
dc.identifier.issn0036-1399
dc.identifier.urihttp://hdl.handle.net/20.500.11824/168
dc.description.abstractWe propose a model to analyze the dynamics of interacting proliferating and quiescent cell populations. The model includes age dependence of cell division, transitions between the two subpopulations, and regulation of the recruitment of quiescent cells. We formulate the model as a pair of renewal equations and apply a rather recent general result to prove that (in)stability of equilibria can be analyzed by locating roots of characteristic equations. We are led to a parameter plane analysis of a characteristic equation, which has not been analyzed in this way so far. We conclude with how quiescence of cells as well as two submodels for cell division may influence the possibility of destabilization via oscillations.
dc.formatapplication/pdf
dc.language.isoengen_US
dc.rightsReconocimiento-NoComercial-CompartirIgual 3.0 Españaen_US
dc.rights.urihttp://creativecommons.org/licenses/by-nc-sa/3.0/es/en_US
dc.subjectAge structures
dc.subjectCell populations
dc.subjectCharacteristic equation
dc.subjectQuiescence
dc.subjectRenewal equation
dc.subjectHopf bifurcation
dc.titleStability analysis of a renewal equation for cell population dynamics with quiescence
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1137/130940438
dc.relation.publisherversionhttp://epubs.siam.org/doi/abs/10.1137/130940438
dc.relation.projectIDES/6PN/MTM2010-18318en_US
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/acceptedVersionen_US
dc.journal.titleSIAM Journal on Applied Mathematicsen_US


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Reconocimiento-NoComercial-CompartirIgual 3.0 España
Except where otherwise noted, this item's license is described as Reconocimiento-NoComercial-CompartirIgual 3.0 España