Abstract
We assume the existence of a specific G1 protein which is an initiator of DNA replication. This initiator is supposed to be synthesized according to Michaelis-Menten kinetics. In order to start DNA replication, it is assumed that this G1 specific protein must be produced in a required amount. Intra-cellular growth inhibitors and extra-cellular growth factors control the production of the initiator. This model allows to calculate the average G1 phase time as a function of the various chemical concentrations of nutrients, enzymes, growth inhibitors and growth factors. This model is compared to cell kinetics experiments on a leukemic cell line responding to Interleukin 3 deprivation. The curves giving the experimental average G1 phase times with respect to Interleukin-3 concentrations are fitted by the mathematical model with a quite good agreement.
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Auger, P., Dörmer, P. & Ellwart, J.W. Growth factors and cell kinetics: A mathematical model applied to Il-3 deprivation on leukemic cell lines. Acta Biotheor 40, 147–159 (1992). https://doi.org/10.1007/BF00168144
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DOI: https://doi.org/10.1007/BF00168144