Local asymptotic stability conditions for the positive equilibrium of a system modeling cell dynamics in leukemia

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buir.contributor.authorÖzbay, Hitay
dc.citation.epage197en_US
dc.citation.spage187en_US
dc.citation.volumeNumber423en_US
dc.contributor.authorÖzbay, Hitayen_US
dc.contributor.authorBonnet, C.en_US
dc.contributor.authorBenjelloun H.en_US
dc.contributor.authorClairambault J.en_US
dc.date.accessioned2016-02-08T12:14:24Z
dc.date.available2016-02-08T12:14:24Z
dc.date.issued2012en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractA distributed delay system with static nonlinearity has been considered in the literature to study the cell dynamics in leukemia. In this chapter local asymptotic stability conditions are derived for the positive equilibrium point of this nonlinear system. The stability conditions are expressed in terms of inequalities involving parameters of the system. These inequality conditions give guidelines for development of therapeutic actions. © 2012 Springer-Verlag GmbH Berlin Heidelberg.en_US
dc.identifier.doi10.1007/978-3-642-25221-1_14en_US
dc.identifier.doi10.1007/978-3-642-25221-1en_US
dc.identifier.urihttp://hdl.handle.net/11693/28216
dc.language.isoEnglishen_US
dc.publisherSpringer, Berlin, Heidelbergen_US
dc.relation.ispartofTime Delay Systems: Methods, Applications and New Trendsen_US
dc.relation.ispartofseriesLecture Notes in Control and Information Sciences;423en_US
dc.relation.isversionofhttp://dx.doi.org/10.1007/978-3-642-25221-1_14en_US
dc.relation.isversionofhttps://doi.org/10.1007/978-3-642-25221-1en_US
dc.subjectCell dynamicsen_US
dc.subjectDistributed delaysen_US
dc.subjectInequality conditionsen_US
dc.subjectLocal asymptotic stabilityen_US
dc.subjectPositive equilibriumen_US
dc.subjectStability conditionen_US
dc.subjectStatic non-linearityen_US
dc.subjectSystem modelingen_US
dc.subjectAsymptotic stabilityen_US
dc.subjectDiseasesen_US
dc.subjectDynamicsen_US
dc.titleLocal asymptotic stability conditions for the positive equilibrium of a system modeling cell dynamics in leukemiaen_US
dc.typeBook Chapteren_US

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