Mustafin A T, Volkov E I
Biol Cybern. 1984;49(3):149-54. doi: 10.1007/BF00334460.
Cell-cycle synchronization of two diffuse-coupled cells has been studied in the framework of the membrane model for the cell division cycle, proposed by Chernavskii et al. (1977). It has been shown semi-analytically (using the averaging principle) and by computer stimulation that a) if the duration of the G1-phase (TG1) for two identical cells is comparable with the duration of the remaining cycle (TS + G2 + M), the lipid (L)-exchange results in a synchronization with phase difference phi = 0. The antioxidant (A)-exchange leads to a phase-locking with phi = T0/2 (where T0 is the cell cycle period; b) if TG1 much greater than TS + G2 + M (or TG1 much less than TS + G2 + M) the L-exchange makes synchronization possible both with phi = 0 and phi = T0/2 while the A-exchange results in phase-locking with phi confined to the region 0 to T0/2; c) for non-identical cells differing in the values of kinetic parameters, the locking band narrows as the population density increases (when some model parameters are close to the bifurcation thresholds). We expect that the cells selected artificially at a definite phase of cycle might maintain the synchronous division for a long time if the lipid exchange between cells were stimulated.
在切尔纳夫斯基等人（1977年）提出的细胞分裂周期膜模型框架内，研究了两个扩散耦合细胞的细胞周期同步性。已通过半解析方法（使用平均原理）和计算机模拟表明：a）如果两个相同细胞的G1期持续时间（TG1）与其余周期（TS + G2 + M）的持续时间相当，脂质（L）交换会导致相位差phi = 0的同步。抗氧化剂（A）交换会导致相位锁定，phi = T0/2（其中T0是细胞周期时长）；b）如果TG1远大于TS + G2 + M（或TG1远小于TS + G2 + M），L交换使得phi = 0和phi = T0/2时的同步都有可能，而A交换会导致相位锁定，phi局限于0到T0/2的区域；c）对于动力学参数值不同的非相同细胞，随着种群密度增加（当某些模型参数接近分岔阈值时），锁定带变窄。我们预计，如果刺激细胞间的脂质交换，在周期特定阶段人工选择的细胞可能会长时间维持同步分裂。
