细胞历经周期的随机模型

本文提出了一类细胞历经周期的随机模型。在证明此模型下细胞出生大小渐近稳定分布的存在唯一性的同时证明了Tyson(1986)的一个猜测。此外,本文还考察了稳定分布的求解问题以及细胞历经周期的特征性质,并与基于实验数据的估计进行比较,结果表明,本模型与实际情形吻合较好。

A STOCHASTIC MODEL FOR CELL CYCLE

In this article, a stochastic model for cell cycle is proposed and the existance and uniqueness of globally asyptotical stability of birth size distribution is concentrated on. During the proof of our medel, a conjecture arised from Tyson model has been proved as well. In addition, the problem of finding solution for the stable distribution and the characteristics of cell population at steady state are discussed, Finally, the comparison between the theoretical prediction and the estimation based on the experimental data shows that the model fits well. In appendix, under a natural condition that the minimum average cell cycle length is less than the double time of cell size, the nonexistance of stable birth size distribution is proved.