Dynamics of systems with induced cell proliferation within the framework of a branching stochastic process model. I. The number of cell generations induced to proliferate

The probabilistic description of cell generation numbers in the populations induced to proliferate is considered on the basis of the model of branching age-dependent stochastic process. The recurrent formulas for generating functions (and moments) are derived for the following process which are of i...

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Bibliographic Details
Published inT͡S︡itologii͡a Vol. 22; no. 8; p. 945
Main Authors Iakovlev, A Iu, Ianev, N
Format Journal Article
LanguageRussian
Published Russia (Federation) 01.08.1980
Subjects
Cell Division
Humans
Mathematics
Mitosis
Models, Biological
Probability
Stochastic Processes
Time Factors
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Summary:The probabilistic description of cell generation numbers in the populations induced to proliferate is considered on the basis of the model of branching age-dependent stochastic process. The recurrent formulas for generating functions (and moments) are derived for the following process which are of interest for the analysis of induced proliferation in closed cell populations: the number of cells in n-th generation horn up to the moment of observation, and the number of cell in n-th generation existing at a given moment.
ISSN:0041-3771