具有非均匀迁移的两型年龄依赖分支过程作为细胞群体更新模型。

Pliska. Pliiska Pub Date : 2011-01-01

Ollivier Hyrien, Nikolay M Yanev

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摘要

两种类型的年龄依赖性分支过程与不均匀迁移被认为是描述更新细胞群的动力学。这类过程可用于模拟中枢神经系统体内少突胶质细胞的生成或白血病细胞的动力学。研究了该过程的一阶矩和二阶矩的渐近性质，包括相关性质。

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

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.

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Pliska. Pliiska

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