Stability of Systems with Stochastic Delays and Applications to Genetic Regulatory Networks

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dc.citation.firstpage1844en_US
dc.citation.issueNumber4en_US
dc.citation.journalTitleSIAM Journal on Applied Dynamical Systemsen_US
dc.citation.lastpage1873en_US
dc.citation.volumeNumber15en_US
dc.contributor.authorGomez, Marcella M.en_US
dc.contributor.authorSadeghpour, Mehdien_US
dc.contributor.authorBennett, Matthew R.en_US
dc.contributor.authorOrosz, Gáboren_US
dc.contributor.authorMurray, Richard M.en_US
dc.date.accessioned2017-05-15T21:11:38Zen_US
dc.date.available2017-05-15T21:11:38Zen_US
dc.date.issued2016en_US
dc.description.abstractThe dynamics of systems with stochastically varying time delays are investigated in this paper. It is shown that the mean dynamics can be used to derive necessary conditions for the stability of equilibria of the stochastic system. Moreover, the second moment dynamics can be used to derive sufficient conditions for almost sure stability of equilibria. The results are summarized using stability charts that are obtained via semidiscretization. The theoretical methods are applied to simple gene regulatory networks where it is demonstrated that stochasticity in the delay can improve the stability of steady protein production.en_US
dc.identifier.citationGomez, Marcella M., Sadeghpour, Mehdi, Bennett, Matthew R., et al.. "Stability of Systems with Stochastic Delays and Applications to Genetic Regulatory Networks." <i>SIAM Journal on Applied Dynamical Systems,</i> 15, no. 4 (2016) SIAM: 1844-1873. http://dx.doi.org/10.1137/15M1031965.en_US
dc.identifier.doihttp://dx.doi.org/10.1137/15M1031965en_US
dc.identifier.urihttps://hdl.handle.net/1911/94278en_US
dc.language.isoengen_US
dc.publisherSIAMen_US
dc.rightsArticle is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use.en_US
dc.subject.keywordstabilityen_US
dc.subject.keywordstochastic delayen_US
dc.subject.keywordsystems biologyen_US
dc.subject.keywordgenetic networksen_US
dc.titleStability of Systems with Stochastic Delays and Applications to Genetic Regulatory Networksen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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