title: [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].
abstract: 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.
mesh_terms: D002455:Cell Division; D006801:Humans; D008433:Mathematics; D008938:Mitosis; D008954:Models, Biological; D011336:Probability; D013269:Stochastic Processes; D013997:Time Factors
vernacular_title: Dinamika sistem s indutsirovannoĭ kletochnoĭ proliferatsiei v ramkakh modeli vetviashchegosia sluchaĭnogo protsessa. I. Chislennost' pokoleniĭ kletok, indutsirovannykh k proliferatsii.