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dc.contributor.authorBoczko, E.
dc.contributor.authorGedeon, Tomáš
dc.contributor.authorStowers, C.
dc.date.accessioned2016-02-08T14:20:53Z
dc.date.available2016-02-08T14:20:53Z
dc.date.issued2010-07
dc.identifier.citationE. Boczko, T. Gedeon, C. Stowers and T. Young, “ODE, RDE and SDE models of cell cycle dynamics and clustering in yeast”, J. Biol. Dynamics, 4(4), pp. 328-345, (July 2010).en_US
dc.identifier.issn1751-3758
dc.identifier.urihttps://scholarworks.montana.edu/xmlui/handle/1/9537
dc.description.abstractBiologists have long observed periodic-like oxygen consumption oscillations in yeast populations under certain conditions, and several unsatisfactory explanations for this phenomenon have been proposed. These ‘autonomous oscillations’ have often appeared with periods that are nearly integer divisors of the calculated doubling time of the culture. We hypothesize that these oscillations could be caused by a form of cell cycle synchronization that we call clustering. We develop some novel ordinary differential equation models of the cell cycle. For these models, and for random and stochastic perturbations, we give both rigorous proofs and simulations showing that both positive and negative growth rate feedback within the cell cycle are possible agents that can cause clustering of populations within the cell cycle. It occurs for a variety of models and for a broad selection of parameter values. These results suggest that the clustering phenomenon is robust and is likely to be observed in nature. Since there are necessarily an integer number of clusters, clustering would lead to periodic-like behaviour with periods that are nearly integer divisors of the period of the cell cycle. Related experiments have shown conclusively that cell cycle clustering occurs in some oscillating yeast cultures.en_US
dc.description.sponsorshipE.M.B. and C.C.S. were partially supported through NSF-DMS 0443855, NSF-ECS 0601528 and the W.M. Keck Foundation Grant #062014. T.G. NSF-CRCNS grant 0515290.en_US
dc.titleODE, RDE and SDE models of cell cycle dynamics and clustering in yeasten_US
dc.typeArticleen_US
mus.citation.extentfirstpage328en_US
mus.citation.extentlastpage345en_US
mus.citation.issue4en_US
mus.citation.journaltitleJournal of Biological Dynamicsen_US
mus.citation.volume4en_US
mus.identifier.categoryLife Sciences & Earth Sciencesen_US
mus.identifier.categoryPhysics & Mathematicsen_US
mus.identifier.doi10.1080/17513750903288003en_US
mus.relation.collegeCollege of Letters & Scienceen_US
mus.relation.departmentMathematical Sciences.en_US
mus.relation.universityMontana State University - Bozemanen_US
mus.data.thumbpage4en_US


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