Bifurcation analysis of a model of the budding yeast cell cycle

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dc.contributor.authorBattogtokh, D.en
dc.contributor.authorTyson, John J.en
dc.contributor.departmentBiological Sciencesen
dc.date.accessioned2016-12-09T21:32:17Zen
dc.date.available2016-12-09T21:32:17Zen
dc.date.issued2004-09-01en
dc.description.abstractWe study the bifurcations of a set of nine nonlinear ordinary differential equations that describe regulation of the cyclin-dependent kinase that triggers DNA synthesis and mitosis in the budding yeast, Saccharomyces cerevisiae. We show that Clb2-dependent kinase exhibits bistability (stable steady states of high or low kinase activity). The transition from low to high Clb2-dependent kinase activity is driven by transient activation of Cln2-dependent kinase, and the reverse transition is driven by transient activation of the Clb2 degradation machinery. We show that a four-variable model retains the main features of the nine-variable model. In a three-variable model exhibiting birhythmicity (two stable oscillatory states), we explore possible effects of extrinsic fluctuations on cell cycle progression. (C) 2004 American Institute of Physics.en
dc.description.sponsorshipDARPA's Biocomputation Program (AFRL #F300602-02-0572)en
dc.description.versionPublished versionen
dc.format.extent653 - 661 (9) page(s)en
dc.identifier.citationBattogtokh, D.; Tyson, J. J., "bifurcation analysis of a model of the budding yeast cell cycle," Chaos 14, 653 (2004); http://dx.doi.org/10.1063/1.1780011en
dc.identifier.doihttps://doi.org/10.1063/1.1780011en
dc.identifier.issn1054-1500en
dc.identifier.issue3en
dc.identifier.urihttp://hdl.handle.net/10919/73626en
dc.identifier.volume14en
dc.languageEnglishen
dc.publisherAmerican Institute of Physicsen
dc.relation.urihttp://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=PARTNER_APP&SrcAuth=LinksAMR&KeyUT=WOS:000223904400015&DestLinkType=FullRecord&DestApp=ALL_WOS&UsrCustomerID=930d57c9ac61a043676db62af60056c1en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectMathematics, Applieden
dc.subjectPhysics, Mathematicalen
dc.subjectMathematicsen
dc.subjectPhysicsen
dc.subjectMATHEMATICS, APPLIEDen
dc.subjectPHYSICS, MATHEMATICALen
dc.subjectMATHEMATICAL-MODELen
dc.subjectMOLECULAR-MODELen
dc.subjectFISSION YEASTen
dc.subjectDYNAMICSen
dc.subjectNOISEen
dc.subjectBIRHYTHMICITYen
dc.subjectOSCILLATIONSen
dc.subjectTRANSITIONSen
dc.subjectHYSTERESISen
dc.subjectCIRCUITSen
dc.titleBifurcation analysis of a model of the budding yeast cell cycleen
dc.title.serialChaosen
dc.typeArticle - Refereeden
pubs.organisational-group/Virginia Techen
pubs.organisational-group/Virginia Tech/All T&R Facultyen
pubs.organisational-group/Virginia Tech/Faculty of Health Sciencesen
pubs.organisational-group/Virginia Tech/Scienceen
pubs.organisational-group/Virginia Tech/Science/Biological Sciencesen
pubs.organisational-group/Virginia Tech/Science/COS T&R Facultyen
pubs.organisational-group/Virginia Tech/University Distinguished Professorsen

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