Bremer H
J Theor Biol. 1986 Feb 7;118(3):351-65. doi: 10.1016/s0022-5193(86)80066-2.
The theoretical distributions of cell masses in exponential cultures of bacteria were derived for both total cells and cells having formed a constriction in preparation for division. The parameters used for this derivation include the mass doubling time, tau, the T-period, and 3 statistical parameters (h, sigma 1, sigma 2) which describe the variability of the cell cycle. The theoretical distributions were compared with observed distributions from E. coli B/rA growing in glucose minimal medium (45 min doubling time) to determine whether a stochastic process in the division pathway affects the time of initiation of constriction or the duration of the constriction process. The results indicate that the stochastic process determines the onset rather than the completion of constriction and that the timing of this process is coupled (6% variability, = sigma 1) to a given cell mass. The values obtained for the duration of the T-period, T = 9.3 min, and for a half-life parameter associated with the stochastic process, h = 4.3 min, agree with previously reported data.
针对细菌指数培养中总细胞以及已形成缢缩准备进行分裂的细胞，推导了细胞质量的理论分布。用于此推导的参数包括质量倍增时间τ、T周期以及3个统计参数（h、σ1、σ2），这些参数描述了细胞周期的变异性。将理论分布与在葡萄糖基本培养基中生长的大肠杆菌B/rA（倍增时间为45分钟）的观察分布进行比较，以确定分裂途径中的随机过程是否会影响缢缩起始时间或缢缩过程的持续时间。结果表明，随机过程决定了缢缩的起始而非完成，并且该过程的时间安排与给定的细胞质量相关联（变异性为6%，=σ1）。获得的T周期持续时间值T = 9.3分钟，以及与随机过程相关的半衰期参数值h = 4.3分钟，与先前报道的数据一致。
