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dc.contributor.authorGetto, P.
dc.contributor.authorMarciniak-Czochra, A.
dc.contributor.authorNakata, Y.
dc.contributor.authorVivanco, M.D.
dc.date.accessioned2017-02-21T08:16:50Z
dc.date.available2017-02-21T08:16:50Z
dc.date.issued2013-12-31
dc.identifier.issn0025-5564
dc.identifier.urihttp://hdl.handle.net/20.500.11824/464
dc.description.abstractWe present a global stability analysis of two-compartment models of a hierarchical cell production system with a nonlinear regulatory feedback loop. The models describe cell differentiation processes with the stem cell division rate or the self-renewal fraction regulated by the number of mature cells. The two-compartment systems constitute a basic version of the multicompartment models proposed recently by Marciniak-Czochra and collaborators [25] to investigate the dynamics of the hematopoietic system. Using global stability analysis, we compare different regulatory mechanisms. For both models, we show that there exists a unique positive equilibrium that is globally asymptotically stable if and only if the respective reproduction numbers exceed one. The proof is based on constructing Lyapunov functions, which are appropriate to handle the specific nonlinearities of the model. Additionally, we propose a new model to test biological hypothesis on the regulation of the fraction of differentiating cells. We show that such regulatory mechanism is incapable of maintaining homeostasis and leads to unbounded cell growth. Potential biological implications are discussed.
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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 system
dc.subjectGlobal stability
dc.subjectLyapunov function
dc.subjectRegulatory mechanism
dc.titleGlobal dynamics of two-compartment models for cell production systems with regulatory mechanisms
dc.typeinfo:eu-repo/semantics/articleen_US
dc.identifier.doi10.1016/j.mbs.2013.07.006
dc.relation.publisherversionhttps://www.scopus.com/inward/record.uri?eid=2-s2.0-84884155218&doi=10.1016%2fj.mbs.2013.07.006&partnerID=40&md5=a18dc3ea0a16fe5aeac9703275658193
dc.rights.accessRightsinfo:eu-repo/semantics/openAccessen_US
dc.type.hasVersioninfo:eu-repo/semantics/publishedVersionen_US
dc.journal.titleMathematical Biosciencesen_US


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