Modeling delayed processes in biological systems

dc.citation.articleNumber32408en_US
dc.citation.issueNumber3en_US
dc.citation.journalTitlePhysical Review Een_US
dc.citation.volumeNumber94en_US
dc.contributor.authorFeng, Jingchenen_US
dc.contributor.authorSevier, Stuart A.en_US
dc.contributor.authorHuang, Binen_US
dc.contributor.authorJia, Dongyaen_US
dc.contributor.authorLevine, Herberten_US
dc.contributor.orgCenter for Theoretical Biological Physicsen_US
dc.date.accessioned2017-05-19T19:09:39Zen_US
dc.date.available2017-05-19T19:09:39Zen_US
dc.date.issued2016en_US
dc.description.abstractDelayed processes are ubiquitous in biological systems and are often characterized by delay differential equations (DDEs) and their extension to include stochastic effects. DDEs do not explicitly incorporate intermediate states associated with a delayed process but instead use an estimated average delay time. In an effort to examine the validity of this approach, we study systems with significant delays by explicitly incorporating intermediate steps. We show that such explicit models often yield significantly different equilibrium distributions and transition times as compared to DDEs with deterministic delay values. Additionally, different explicit models with qualitatively different dynamics can give rise to the same DDEs revealing important ambiguities. We also show that DDE-based predictions of oscillatory behavior may fail for the corresponding explicit model.en_US
dc.identifier.citationFeng, Jingchen, Sevier, Stuart A., Huang, Bin, et al.. "Modeling delayed processes in biological systems." <i>Physical Review E,</i> 94, no. 3 (2016) American Physical Society: https://doi.org/10.1103/PhysRevE.94.032408.en_US
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.94.032408en_US
dc.identifier.urihttps://hdl.handle.net/1911/94293en_US
dc.language.isoengen_US
dc.publisherAmerican Physical Societyen_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.titleModeling delayed processes in biological systemsen_US
dc.typeJournal articleen_US
dc.type.dcmiTexten_US
dc.type.publicationpublisher versionen_US
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