Stochastic Models of Cell Proliferation Kinetics Based on Branching Processes

Nikolay M. Yanev ()
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Nikolay M. Yanev: Bulgarian Academy of Sciences, Institute of Mathematics and Informatics

A chapter in Statistical Modeling for Biological Systems, 2020, pp 3-20 from Springer

Abstract: 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.

Keywords: Branching processes; Cell proliferation; Discrete and continuous labels; Label distributions; Immigration; Age and residual lifetime distributions; Age-dependent processes; Large number of ancestors; Multitype branching processes; Limiting distributions; Asymptotic normality; Statistical inference; Primary 60J80, 60J85; Secondary 62P10, 92D25 (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-3-030-34675-1_1

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DOI: 10.1007/978-3-030-34675-1_1

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