Volkov E I, Stolyarov M N
Department of Theoretical Biophysics, P.N. Lebedev Physical Institute, RAS, Moscow, Russia.
Biol Cybern. 1994;71(5):451-9. doi: 10.1007/BF00198921.
Cell proliferation is considered a periodic process governed by a relaxation timer. The collective behavior of a system composed of three identical relaxation oscillators in numerically studied under the condition that diffusion of the slow mode dominates. We demonstrate: (1) the existence of three periodic regimes with different periods and phase relations and an unsymmetrical, stable steady-state (USSS); (2) the coexistence of in-phase oscillations and USSS; (3) the coexistence of periodic attractors; and (4) the emergence of a two-loop limit cycle coexisting with both in-phase oscillations and a stable steady-state. The qualitative reasons for such a diversity and its possible role in the generation of cell cycle variability are discussed.
细胞增殖被认为是一个由弛豫定时器控制的周期性过程。在慢模式扩散占主导的条件下，对由三个相同弛豫振荡器组成的系统的集体行为进行了数值研究。我们证明：（1）存在具有不同周期和相位关系的三种周期性状态以及一个不对称的稳定稳态（USSS）；（2）同相振荡与USSS共存；（3）周期性吸引子共存；（4）出现与同相振荡和稳定稳态都共存的双环极限环。讨论了这种多样性的定性原因及其在细胞周期变异性产生中的可能作用。
