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A deterministic model of the cell cycle.

J Grasman
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Abstract

The variability of the duration of the cell cycle is explained by the phenomenon of sensitive dependence upon initial conditions; as may occur in deterministic non-linear systems. Chaotic dynamics of a system is the result of this sensitive dependence. First a deterministic system is formulated that is equivalent to the Smith-Martin transition probability model of the cell cycle. Next the model is extended to a dynamic process that ranges over the cell generations. A deterministic non-linear relationship between the cycle time of the mother and daughter cell is established. It clarifies the variability of mother-daughter correlation for the different cell types. The model is fitted to two different cell cultures; it shows that the graph of the non-linear relation has the same shape for different cell types.

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AnimalsCell CycleCell DivisionMathematicsModels, BiologicalJournal Article

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J Grasman. 1990. A deterministic model of the cell cycle.. https://doi.org/10.1007/bf02462266

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