A compartmental model for the study of diurnal rhythms in cell proliferation |
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| Authors: | B Klein A J Valleron |
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| Affiliation: | Institut de Cancérologie et d''Immunogénétique, Villejuif, France;Unité de Recherches Statistiques de l''Inserm U.21, Villejuif, France |
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| Abstract: | A mathematical model taking into account the observed diurnal variations in cell kinetics is presented. Its principle is to divide each phase of the cell cycle into a definite number of compartments and to assume time-dependent probabilities of transition from one compartment to the following; general properties of the model are derived.The particular case where the only time-dependent transition probabilities are those corresponding to the G1 phase is studied. A characterization of the joint percentages of S and M cells variations is given. The application of the model to interpretation of published experimental data obtained in hamster cheek pouch epithelium is given. |
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| Keywords: | To whom correspondence requests for reprints and requests for the computer programs developed in this paper should be addressed. |
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