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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.

DOI:10.1016/S0006-3495(69)86423-4
PMID:5791545
原文链接:https://pmc.ncbi.nlm.nih.gov/articles/PMC1367484/
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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Limit-cycles in enzyme-systems with nonlinear negative feedback.具有非线性负反馈的酶系统中的极限环
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5
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The qualitative dynamics of a class of biochemical control circuits.
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本文引用的文献

1
Control of pyrimidine biosynthesis in Escherichia coli by a feed-back mechanism.大肠杆菌中嘧啶生物合成的反馈调节机制。
J Biol Chem. 1956 Aug;221(2):757-70.
2
Biochemical oscillations in "controlled" systems.“受控”系统中的生化振荡
Biophys J. 1967 Sep;7(5):621-5. doi: 10.1016/S0006-3495(67)86611-6.
3
Oscillatory behavior in enzymatic control processes.酶促控制过程中的振荡行为。
Adv Enzyme Regul. 1965;3:425-38. doi: 10.1016/0065-2571(65)90067-1.