Hirsch H R
J Theor Biol. 1983 Feb 7;100(3):399-410. doi: 10.1016/0022-5193(83)90437-x.
A cell cycle model developed by Smith and Martin is generalized to allow for the possibility that the duration of the B phase is not fixed. The B phase is the equivalent of the traditional S, G2, and M phases of the cell cycle. The duration of the B phase is represented by a Gaussian probability distribution; the duration of the resting or A state which replaces the traditional G1 phase is represented by a decaying exponential distribution. A doubling time distribution, termed the CEG distribution, is obtained by convolution of the A state and B phase distributions. Like the reciprocal normal, rate normal, and log normal distributions, it is a rounded unimodal peak that is skewed to the right. None of the three former distributions is associated with a cell cycle model that includes a resting state. However the CEG distribution, which is so associated, bears little resemblance to the delayed exponential distribution which results when the duration of the B phase is fixed and the duration of the A state is random. Consequently, it would be difficult to use the doubling time distribution to determine whether or not a resting state exists in a particular cell population.
史密斯和马丁开发的细胞周期模型得到了推广，以考虑B期持续时间不固定的可能性。B期相当于细胞周期中传统的S期、G2期和M期。B期的持续时间由高斯概率分布表示；取代传统G1期的静止或A状态的持续时间由衰减指数分布表示。通过A状态和B期分布的卷积获得了一种称为CEG分布的倍增时间分布。与倒数正态分布、速率正态分布和对数正态分布一样，它是一个向右偏斜的圆形单峰峰值。前三种分布均与包含静止状态的细胞周期模型无关。然而，与之相关的CEG分布与B期持续时间固定且A状态持续时间随机时产生的延迟指数分布几乎没有相似之处。因此，很难使用倍增时间分布来确定特定细胞群体中是否存在静止状态。
