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Stochastic Models of Cell Proliferation Kinetics Based on Branching Processes

In: Statistical Modeling for Biological Systems

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  • Nikolay M. Yanev

    (Bulgarian Academy of Sciences, Institute of Mathematics and Informatics)

Abstract

The aim of this memorial survey paper is to present some joint work with Andrei Yu. Yakovlev ( http://www.biology-direct.com/content/3/1/10 ) focused on new ideas for the theory of branching processes arising in cell proliferation modeling. The following topics are considered: some basic characteristics of cell cycle temporal organization, distributions of pulse-labeled discrete markers in branching cell populations, distributions of a continuous label in proliferating cell populations, limiting age and residual lifetime distributions for continuous-time branching processes, limit theorems and estimation theory for multitype branching populations and relative frequencies with a large number of ancestor, age-dependent branching populations with randomly chosen paths of evolution. Some of the presented results have not been published yet.

Suggested Citation

  • Nikolay M. Yanev, 2020. "Stochastic Models of Cell Proliferation Kinetics Based on Branching Processes," Springer Books, in: Anthony Almudevar & David Oakes & Jack Hall (ed.), Statistical Modeling for Biological Systems, pages 3-20, Springer.
    • Handle: RePEc:spr:sprchp:978-3-030-34675-1_1
    DOI: 10.1007/978-3-030-34675-1_1
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