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• W2139306782 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. The results significantly improve and extend those presented in our 2006 IEEE Conference on Decision and Control paper." @default.
• W2139306782 created "2016-06-24" @default.
• W2139306782 creator A5007293606 @default.
• W2139306782 creator A5068753451 @default.
• W2139306782 date "2007-01-01" @default.
• W2139306782 modified "2023-09-27" @default.
• W2139306782 title "Further results on singularly perturbed monotone systems, with an application to double phosphorylation cycles" @default.
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• W2139306782 doi "https://doi.org/10.1109/cdc.2007.4434246" @default.
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