title: Two-Type Age-Dependent Branching Processes with Inhomogeneous Immigration as Models of Renewing Cell Populations.
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 systemin vivoor the kinetics of leukemia cells. The asymptotic behavior of the first and second moments, including the correlation, of the process is investigated.
authors.affiliation: Department of Biostatistics and Computational Biology, University of Rochester, MC, 601 Elmwood Avenue, Box 630, Rochester, New York 14642, USA, Ollivier_Hyrien@urmc.rochester.edu.
authors.forename: Ollivier
authors.initials: O
authors.lastname: Hyrien
authors.forename: Nikolay M
authors.initials: NM
authors.lastname: Yanev
keywords: Age-dependent branching processes; Cell proliferation models; Immigration; Limiting moments and correlation