受控生化系统中的振荡
Oscillations in controlled biochemical systems.
作者信息
Walter C
出版信息
Biophys J. 1969 Jul;9(7):863-72. doi: 10.1016/S0006-3495(69)86423-4.
Abstract
Stability analysis of equations describing certain biochemical control mechanisms involving negative feedback suggests that limit cycle behavior might be possible if the control system involves a sufficient number of intermediate chemical steps. For the example considered in this paper, digital simulation of the non-linear control system illustrates that limit cycle behavior actually arises for a sixth-order system. On the other hand, the corresponding fourth- and fifth-order systems are asymptotically stable.
摘要
对描述涉及负反馈的某些生化控制机制的方程进行稳定性分析表明，如果控制系统涉及足够数量的中间化学步骤，那么极限环行为可能是可能的。对于本文所考虑的示例，非线性控制系统的数字模拟表明，六阶系统实际上会出现极限环行为。另一方面，相应的四阶和五阶系统是渐近稳定的。
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