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• W3103597052 abstract "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." @default.
• W3103597052 created "2020-11-23" @default.
• W3103597052 creator A5007293606 @default.
• W3103597052 creator A5068753451 @default.
• W3103597052 date "2008-03-26" @default.
• W3103597052 modified "2023-09-26" @default.
• W3103597052 title "Singularly Perturbed Monotone Systems and an Application to Double Phosphorylation Cycles" @default.
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• W3103597052 doi "https://doi.org/10.1007/s00332-008-9021-2" @default.
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