On the analysis of a dynamical model representing gene regulatory networks under negative feedback

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buir.contributor.authorÖzbay, Hitay
dc.citation.epage1627en_US
dc.citation.issueNumber11en_US
dc.citation.spage1609en_US
dc.citation.volumeNumber24en_US
dc.contributor.authorAhsen, M. E.en_US
dc.contributor.authorÖzbay, Hitayen_US
dc.contributor.authorNiculescu, S. I.en_US
dc.date.accessioned2015-07-28T12:03:50Z
dc.date.available2015-07-28T12:03:50Z
dc.date.issued2014-07-25en_US
dc.departmentDepartment of Electrical and Electronics Engineeringen_US
dc.description.abstractIn this work, stability analysis is performed for a cyclic dynamical model of gene regulatory networks involving time delays, under negative feedback. The model considered has nonlinearities with negative Schwarzian derivatives. Sufficient conditions implying global stability of these types of GRNs are obtained. The special case of homogenous gene regulatory networks is also studied; in this case, the proposed stability conditions depend only on the parameters of the nonlinearity function. Illustrative numerical examples complete the presentation.en_US
dc.description.provenanceMade available in DSpace on 2015-07-28T12:03:50Z (GMT). No. of bitstreams: 1 10.1002-rnc.2947.pdf: 691527 bytes, checksum: 4dfc9d911b8d531123ae021d7fb4b823 (MD5)en
dc.identifier.doi10.1002/rnc.2947en_US
dc.identifier.issn1049-8923
dc.identifier.urihttp://hdl.handle.net/11693/12908
dc.language.isoEnglishen_US
dc.publisherWileyen_US
dc.relation.isversionofhttp://dx.doi.org/10.1002/rnc.2947en_US
dc.source.titleInternational Journal Of Robust And Nonlinear Controlen_US
dc.subjectGene Regulatory Networksen_US
dc.subjectSchwarzian Derivativesen_US
dc.subjectAsymptotic Stabilityen_US
dc.subjectHill Functionsen_US
dc.subjectTime Delayen_US
dc.titleOn the analysis of a dynamical model representing gene regulatory networks under negative feedbacken_US
dc.typeArticleen_US

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