Asymptotic stability in a generalized probabilistic/deterministic model of the cell cycle
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1Institute of Computer Science, Polish Academy of Sciences, Warsaw.
Journal of Mathematical Biology
|January 1, 1988
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.