Age-Dependent Branching Processes with Non-homogeneous Poisson Immigration as Models of Cell Kinetics

Ollivier Hyrien () and Nikolay M. Yanev ()
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Ollivier Hyrien: Fred Hutchinson Cancer Research Center, Vaccine and Infectious Disease and Public Health Science Divisions
Nikolay M. Yanev: Bulgarian Academy of Sciences, Department of Probability and Statistics, Institute of Mathematics and Informatics

A chapter in Statistical Modeling for Biological Systems, 2020, pp 21-46 from Springer

Abstract: Abstract This article considers age-dependent branching processes with non-homogeneous Poisson immigration as models of cell proliferation kinetics. Asymptotic approximations for the expectation and variance–covariance functions of the process are developed. Estimators relying on the proposed asymptotic approximations are constructed, and their performance investigated using simulations.

Keywords: Bellman–Harris branching process; Renewal equation; Quasi-likelihood; Pseudo-likelihood; Flow cytometry; Leukemia; Stem cells; Oligodendrocytes (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_2

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DOI: 10.1007/978-3-030-34675-1_2

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