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

Ollivier Hyrien, Nikolay M Yanev
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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.

利用非均质泊松移民的分支过程建立细胞动力学模型
提出了具有非均质泊松移民的年龄依赖性分支过程作为细胞增殖动力学模型。研究了一阶和二阶矩的渐近行为,并利用所得结果进行了相关的统计推断。
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