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dc.contributor.authorNakata, Y.
dc.contributor.authorGetto, P.
dc.contributor.authorMarciniak-Czochra, A.
dc.contributor.authorAlarcon, T.
dc.date.accessioned2017-02-21T08:16:48Z
dc.date.available2017-02-21T08:16:48Z
dc.date.issued2012-12-31
dc.identifier.issn1751-3758
dc.identifier.urihttp://hdl.handle.net/20.500.11824/421
dc.description.abstractWe study two-and three-compartment models of a hierarchical cell production system with cell division regulated by the level of mature cells. We investigate the structure of equilibria with respect to parameters as well as local stability properties for the equilibria. To interpret the results we adapt the concept of reproduction numbers, which is well known in ecology, to stem cell population dynamics. In the two-compartment model, the positive equilibrium is stable wherever it exists. In the three-compartment model, we find that the intermediate stage of differentiation is responsible for the emergence of an instability region in the parameter plane. Moreover, we prove that this region shrinks as the mortality rate for mature cells increases and discuss this result.
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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.subjectcell production systems
dc.subjectreproduction number
dc.subjectstability analysis
dc.subjectstem cell population dynamics
dc.titleStability analysis of multi-compartment models for cell production systems
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1080/17513758.2011.558214
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84860827166&doi=10.1080%2f17513758.2011.558214&partnerID=40&md5=8db28266fb0e4f74b9a8bc6df779d6df
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleJournal of Biological Dynamicsen_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