Arino O, Bertuzzi A, Gandolfi A, Sánchez E, Sinisgalli C
Istituto di Analisi dei Sistemi ed Informatica A Ruberti CNR, Viale Manzoni 30, Roma, Italy.
Math Biosci. 2007 Apr;206(2):185-99. doi: 10.1016/j.mbs.2005.04.008. Epub 2005 Oct 7.
In the present paper we propose a continuous cell population model based on Shackney's idea of growth retardation. Cells are characterized by two state variables: the cell maturity x, 0 < or = x < or = 1, and a state variable T that identifies the rate of maturation along cell cycle. During their life span, cells can change T at random by jump transitions to T values corresponding to slower maturation rates, while at each jump the maturity x is conserved. Both the time evolution of the population and the exponential stationary solution are numerically computed. The distribution of the cell cycle transit time in asynchronous exponential growth is investigated by Monte Carlo simulation. An approximated formula for the distribution of cell cycle time is also provided.
在本文中，我们基于沙克尼的生长迟缓理念提出了一个连续细胞群体模型。细胞由两个状态变量表征：细胞成熟度x，0≤x≤1，以及一个识别沿细胞周期成熟速率的状态变量T。在其寿命期间，细胞可通过跳跃转变随机将T改变为对应较慢成熟速率的T值，而在每次跳跃时成熟度x保持不变。对群体的时间演化和指数稳态解均进行了数值计算。通过蒙特卡罗模拟研究了异步指数生长中细胞周期转运时间的分布。还提供了细胞周期时间分布的一个近似公式。
