具有非齐次迁入的两类年龄依赖分支过程作为更新细胞群体的模型
Two-Type Age-Dependent Branching Processes with Inhomogeneous Immigration as Models of Renewing Cell Populations.
作者信息
Hyrien Ollivier, Yanev Nikolay M
机构信息
Department of Biostatistics and Computational Biology, University of Rochester, MC, 601 Elmwood Avenue, Box 630, Rochester, New York 14642, USA,
出版信息
Pliska. 2011;20:81-108.
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.
摘要
考虑具有非齐次迁入的两类可约年龄依赖分支过程来描述更新细胞群体的动力学。这类过程可用于模拟中枢神经系统中少突胶质细胞的生成或白血病细胞的动力学。研究了该过程一阶矩和二阶矩的渐近行为，包括相关性。
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本文引用的文献
1
Modeling Cell Kinetics using Branching Processes with Non-Homogeneous Poisson Immigration.使用具有非齐次泊松移民的分支过程对细胞动力学进行建模。
C R Acad Bulg Sci. 2010;63(10):1405-1414.
2
Quasi- and pseudo-maximum likelihood estimators for discretely observed continuous-time Markov branching processes.离散观测连续时间马尔可夫分支过程的拟极大似然估计和伪极大似然估计。
J Stat Plan Inference. 2011 Jul 1;141(7):2209-2227. doi: 10.1016/j.jspi.2011.01.016.
3
A composite likelihood approach to the analysis of longitudinal clonal data on multitype cellular systems under an age-dependent branching process.基于年龄相关分支过程的多类型细胞系统纵向克隆数据分析的复合似然方法。
Biostatistics. 2011 Jan;12(1):173-91. doi: 10.1093/biostatistics/kxq050. Epub 2010 Aug 23.
4
An age-dependent branching process model for the analysis of CFSE-labeling experiments.用于分析 CFSE 标记实验的与年龄相关的分支过程模型。
Biol Direct. 2010 Jun 22;5:41. doi: 10.1186/1745-6150-5-41.
5
Saddlepoint approximations to the moments of multitype age-dependent branching processes, with applications.多类型年龄依赖分支过程矩的鞍点近似及其应用
Biometrics. 2010 Jun;66(2):567-77. doi: 10.1111/j.1541-0420.2009.01281.x. Epub 2009 Jun 9.
6
Branching stochastic processes with immigration in analysis of renewing cell populations.带迁入的分支随机过程在更新细胞群体分析中的应用
Math Biosci. 2006 Sep;203(1):37-63. doi: 10.1016/j.mbs.2006.06.001. Epub 2006 Jun 14.
7
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Theor Biol Med Model. 2006 May 17;3:21. doi: 10.1186/1742-4682-3-21.
8
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10
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