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Literature DB >> 23729950

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 system in vivo or the kinetics of leukemia cells. The asymptotic behavior of the first and second moments, including the correlation, of the process is investigated.

Entities: CellLine Chemical Disease Species

Keywords: Age-dependent branching processes; Cell proliferation models; Immigration; Limiting moments and correlation

Year: 2011 PMID： 23729950 PMCID： PMC3666601

Source DB: PubMed Journal: Pliska ISSN： 0204-9805

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References

15 in total

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Authors: K Boucher; A Y Yakovlev; M Mayer-Proschel; M Noble
Journal: Math Biosci Date: 1999-06 Impact factor: 2.144

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Authors: K Boucher; A Zorin; A Y Yakovlev; M Mayer-Proschel; M Noble
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Authors: Andrei Yakovlev; Nikolai Yanev
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Authors: A Y Yakovlev; K Boucher; M Mayer-Proschel; M Noble
Journal: Proc Natl Acad Sci U S A Date: 1998-11-24 Impact factor: 11.205

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

1. A stochastic model of temporally regulated generation of oligodendrocytes in cell culture.

2. Estimation problems associated with stochastic modeling of proliferation and differentiation of O-2A progenitor cells in vitro.

3. An alternative stochastic model of generation of oligodendrocytes in cell culture.

4. Branching stochastic processes with immigration in analysis of renewing cell populations.

5. Modeling Cell Kinetics using Branching Processes with Non-Homogeneous Poisson Immigration.

6. Quantitative insight into proliferation and differentiation of oligodendrocyte type 2 astrocyte progenitor cells in vitro.

7. Quasi- and pseudo-maximum likelihood estimators for discretely observed continuous-time Markov branching processes.

8. An age-dependent branching process model for the analysis of CFSE-labeling experiments.

9. Saddlepoint approximations to the moments of multitype age-dependent branching processes, with applications.

10. Stochastic modeling of oligodendrocyte generation in cell culture: model validation with time-lapse data.