细胞周期广义概率/确定性模型中的渐近稳定性。

Asymptotic stability in a generalized probabilistic/deterministic model of the cell cycle.

作者信息

Tyrcha J

机构信息

Institute of Computer Science, Polish Academy of Sciences, Warsaw.

出版信息

J Math Biol. 1988;26(4):465-75. doi: 10.1007/BF00276374.

DOI:10.1007/BF00276374

PMID:3199044

Abstract

A new mathematical model of the cell cycle is presented which generalizes the probabilistic/deterministic model of Lasota-Mackey and the tandem model of Tyson and Hannsgen. By the use of a multiplicative (exponential) Lyapunov function a stability theorem is proved, parallel to the results of Lasota-Mackey. Some open problems related to the tandem model are also solved.

摘要

提出了一种新的细胞周期数学模型，该模型推广了拉索塔 - 麦基的概率/确定性模型以及泰森和汉斯根的串联模型。通过使用乘法（指数）李雅普诺夫函数，证明了一个稳定性定理，这与拉索塔 - 麦基的结果类似。还解决了一些与串联模型相关的开放性问题。