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Steady-State Size Distributions in Probabilistic Models of the Cell Division Cycle

dc.contributor.authorHannsgen, Kenneth B.en
dc.contributor.authorTyson, John J.en
dc.contributor.authorWatson, Layne T.en
dc.contributor.departmentComputer Scienceen
dc.date.accessioned2013-06-19T14:37:09Zen
dc.date.available2013-06-19T14:37:09Zen
dc.date.issued1984en
dc.description.abstractA model for the steady-state size distribution in an exponentially growing population of single cells is derived and studied. The model incorporates a general growth law for individual cells and a probability density for interdivision times. A uniqueness theorem is proved. and it is shown that no solution exists when individual cells grow exponentially. For linear growth, infinite series solutions are found in two specific cases. Statistical data are obtained for these solutions, and comparisons are made with the results of some numerical simulations and with a known experimental result.en
dc.format.mimetypeapplication/pdfen
dc.identifierhttp://eprints.cs.vt.edu/archive/00000907/en
dc.identifier.sourceurlhttp://eprints.cs.vt.edu/archive/00000907/01/CS84012-R.pdfen
dc.identifier.trnumberCS84012-Ren
dc.identifier.urihttp://hdl.handle.net/10919/19456en
dc.language.isoenen
dc.publisherDepartment of Computer Science, Virginia Polytechnic Institute & State Universityen
dc.relation.ispartofHistorical Collection(Till Dec 2001)en
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.titleSteady-State Size Distributions in Probabilistic Models of the Cell Division Cycleen
dc.typeTechnical reporten
dc.type.dcmitypeTexten

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