Asymptotic stability in a generalized probabilistic/deterministic model of the cell cycle |
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| Authors: | Joanna Tyrcha |
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| Affiliation: | (1) Institute of Computer Science of the Polish Academy of Sciences, PKiN, P.O. Box 22, PL-00-901 Warsaw, Poland |
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| Abstract: | A new mathematical model of the cell cycle is presented which generalizes the probabilistic/deterministic model of Lasota-Mackey [1] and the tandem model of Tyson and Hannsgen [7]. 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. |
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| Keywords: | Markov operator Asymptotic stability Cell cycle Tandem model |
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