title: Asymptotic stability in a generalized probabilistic/deterministic model of the cell cycle.
abstract: A new mathematical model of the cell cycle is presented which generalizes the probabilistic/deterministic model of Lasota-Mackey and the tandem model of Tyson and Hannsgen. By the use of a multiplicative (exponential) Lyapunov function a stability theorem is proved, parallel to the results of Lasota-Mackey. Some open problems related to the tandem model are also solved.
authors.affiliation: Institute of Computer Science, Polish Academy of Sciences, Warsaw.
authors.forename: J
authors.initials: J
authors.lastname: Tyrcha
mesh_terms: D002453:Cell Cycle; D008433:Mathematics; D008954:Models, Biological