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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Tyrcha, J. Asymptotic stability in a generalized probabilistic/deterministic model of the cell cycle. J. Math. Biology 26, 465–475 (1988). https://doi.org/10.1007/BF00276374
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DOI: https://doi.org/10.1007/BF00276374