Volkov E I, Mustafin A T
Biofizika. 1982 Mar-Apr;27(2):304-8.
The problems whether the cell cycle is a deterministic or probabilistic process is widely discussed in current literature [1, 3, 7]. Present work deals with fluctuations of the cell cycle in terms of the mathematical model of membrane regulation of cell division. The presence of white noise in the parameters describing the influxes of lipids and antioxidants into the membrane is studied by the methods of Markovian processes, as well as by direct computer simulation. The equation for the distribution function of cell generation times is obtained and the increase of dispersion and the mean cell cycle time during the change of the system parameters which can be related to the density of cell culture is calculated. The theoretical distributions qualitatively agree with experimental data.
细胞周期是确定性过程还是概率性过程这一问题在当前文献[1, 3, 7]中被广泛讨论。目前的工作从细胞分裂的膜调节数学模型的角度来研究细胞周期的波动。通过马尔可夫过程方法以及直接的计算机模拟，研究了描述脂质和抗氧化剂流入膜的参数中白噪声的存在情况。得到了细胞生成时间分布函数的方程，并计算了与细胞培养密度相关的系统参数变化期间离散度和平均细胞周期时间的增加情况。理论分布与实验数据在定性上相符。
