奇摄动单调系统及其在双磷酸化环中的应用
Singularly Perturbed Monotone Systems and an Application to Double Phosphorylation Cycles
摘要：
单调动力系统理论在基因、蛋白质和信号网络的建模中非常有用。在单调系统中，每个净反馈环都是正的。另一方面，负反馈回路是许多系统的重要特征，因为它们是适应性和精度所必需的。本文证明了，只要这些负回路作用在一个相对较快的时间尺度上，（强）单调系统的主要动力学性质，即收敛到定态，仍然是有效的。一个应用程序是制定出一个双磷酸化的“无效循环”的基序，它在真核细胞信号转导中起着核心作用。
英文摘要：
The theory of monotone dynamical systems has been found very useful in the modeling of some gene, protein, and signaling networks. In monotone systems, every net feedback loop is positive. On the other hand, negative feedback loops are important features of many systems, since they are required for adaptation and precision. This paper shows that, provided that these negative loops act at a comparatively fast time scale, the main dynamical property of (strongly) monotone systems, convergence to steady states, is still valid. An application is worked out to a double-phosphorylation ``futile cycle'' motif which plays a central role in eukaryotic cell signaling.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
