Two-Type Age-Dependent Branching Processes with Inhomogeneous Immigration As Models of Renewing Cell Populations

Overview

Journal Pliska

Date 2013 Jun 5

PMID 23729950

Authors

Ollivier Hyrien

Nikolay M Yanev

Affiliations

Soon will be listed here.

Abstract

Two-type reducible age-dependent branching processes with inhomogeneous immigration are considered to describe the kinetics of renewing cell populations. This class of processes can be used to model the generation of oligodendrocytes in the central nervous system or the kinetics of leukemia cells. The asymptotic behavior of the first and second moments, including the correlation, of the process is investigated.

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