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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。

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

作者信息

Hyrien Ollivier, Yanev Nikolay M

机构信息

Department of Biostatistics and Computational Biology, University of Rochester, NY,

出版信息

C R Acad Bulg Sci. 2010;63(10):1405-1414.

PMID:23729973
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC3666344/
Abstract

Age-dependent branching processes with non-homogeneous Poisson immigration are proposed as models of cell proliferation kinetics. The asymptotic behaviour of the first and second-order moments is investigated and the obtained results are use to develop a relevant statistical inference.

摘要

提出具有非齐次泊松迁入的年龄依赖分支过程作为细胞增殖动力学模型。研究了一阶矩和二阶矩的渐近行为,并利用所得结果进行相关的统计推断。

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本文引用的文献

1
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.
2
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.
3
Estimating the life-span of oligodendrocytes from clonal data on their development in cell culture.根据少突胶质细胞在细胞培养中的克隆发育数据估算其寿命。
Math Biosci. 2005 Feb;193(2):255-74. doi: 10.1016/j.mbs.2004.07.003. Epub 2005 Jan 22.
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A stochastic model to analyze clonal data on multi-type cell populations.一种用于分析多类型细胞群体克隆数据的随机模型。
Biometrics. 2005 Mar;61(1):199-207. doi: 10.1111/j.0006-341X.2005.031210.x.
5
Estimation problems associated with stochastic modeling of proliferation and differentiation of O-2A progenitor cells in vitro.体外少突胶质前体细胞增殖与分化随机建模相关的估计问题。
Math Biosci. 2000 Oct;167(2):109-21. doi: 10.1016/s0025-5564(00)00040-7.
6
Quantitative insight into proliferation and differentiation of oligodendrocyte type 2 astrocyte progenitor cells in vitro.体外少突胶质细胞2型星形胶质细胞祖细胞增殖与分化的定量研究
Proc Natl Acad Sci U S A. 1998 Nov 24;95(24):14164-7. doi: 10.1073/pnas.95.24.14164.
7
Inference for an age-dependent, multitype branching-process model of mast cells.关于肥大细胞年龄依赖性多类型分支过程模型的推断。
J Math Biol. 1987;25(2):203-26. doi: 10.1007/BF00276390.