Show simple item record

dc.contributor.authorFeng, Jingchen
Sevier, Stuart A.
Huang, Bin
Jia, Dongya
Levine, Herbert
dc.date.accessioned 2017-05-19T19:09:39Z
dc.date.available 2017-05-19T19:09:39Z
dc.date.issued 2016
dc.identifier.citation Feng, Jingchen, Sevier, Stuart A., Huang, Bin, et al.. "Modeling delayed processes in biological systems." Physical Review E, 94, no. 3 (2016) https://doi.org/10.1103/PhysRevE.94.032408.
dc.identifier.urihttp://hdl.handle.net/1911/94293
dc.description.abstract Delayed 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.
dc.language.iso eng
dc.rights Article 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.title Modeling delayed processes in biological systems
dc.type Journal article
dc.citation.journalTitle Physical Review E
dc.contributor.org Center for Theoretical Biological Physics
dc.citation.volumeNumber 94
dc.citation.issueNumber 3
dc.contributor.publisher American Physical Society
dc.type.dcmi Text
dc.identifier.doihttps://doi.org/10.1103/PhysRevE.94.032408
dc.identifier.pmid 27739721
dc.type.publication publisher version
dc.citation.articleNumber 032408


Files in this item

Thumbnail

This item appears in the following Collection(s)

Show simple item record