title: Mathematical models for the cellular concentrations of cyclin and MPF.
abstract: Several mathematical models have been proposed for regulation of the cell cycle in early embryos by cyclin and maturation-promoting factor (MPF). In this paper the previously proposed models for cyclin and MPF activity are analyzed, and the validity of those models based on the mathematical behavior of their solutions and on physical considerations are discussed. In addition, three further models are proposed that exhibit the periodic behavior necessary for modeling the mitotic clock but that do not have certain of the limitations of the other models.
authors.affiliation: Department of Biomathematics, University of Texas M.D. Anderson Cancer Center, Houston 77030.
authors.forename: M N
authors.initials: MN
authors.lastname: Obeyesekere
authors.forename: S L
authors.initials: SL
authors.lastname: Tucker
authors.forename: S O
authors.initials: SO
authors.lastname: Zimmerman
mesh_terms: D000818:Animals; D002453:Cell Cycle / Q000502:physiology*; D016213:Cyclins / Q000378:metabolism*; D004622:Embryo, Mammalian / Q000502:physiology; D004625:Embryo, Nonmammalian; D007700:Kinetics; D008433:Mathematics; D016200:Maturation-Promoting Factor / Q000378:metabolism*; D008954:Models, Biological; D010766:Phosphorylation
chemical_list: D016213:Cyclins; D016200:Maturation-Promoting Factor