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

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dc.citation.firstpage1844
dc.citation.issueNumber4
dc.citation.journalTitleSIAM Journal on Applied Dynamical Systems
dc.citation.lastpage1873
dc.citation.volumeNumber15
dc.contributor.authorGomez, Marcella M.
dc.contributor.authorSadeghpour, Mehdi
dc.contributor.authorBennett, Matthew R.
dc.contributor.authorOrosz, Gábor
dc.contributor.authorMurray, Richard M.
dc.date.accessioned2017-05-15T21:11:38Z
dc.date.available2017-05-15T21:11:38Z
dc.date.issued2016
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.
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.
dc.identifier.doihttp://dx.doi.org/10.1137/15M1031965
dc.identifier.urihttps://hdl.handle.net/1911/94278
dc.language.isoeng
dc.publisherSIAM
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.
dc.subject.keywordstability
dc.subject.keywordstochastic delay
dc.subject.keywordsystems biology
dc.subject.keywordgenetic networks
dc.titleStability of Systems with Stochastic Delays and Applications to Genetic Regulatory Networks
dc.typeJournal article
dc.type.dcmiText
dc.type.publicationpublisher version
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