An Analysis of a Circadian Model Using The Small-Gain Approach to Monotone Systems

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In this note, we show how certain properties of Goldbeter's 1995 model for circadian oscillations can be proved mathematically, using techniques from the recently developed theory of monotone systems with inputs and outputs. The theory establishes global asymptotic stability, and in particular no oscillations, if the rate of transcription is somewhat smaller than that assumed by Goldbeter. This stability persists even under arbitrary delays in the feedback loop.
See http://www.math.rutgers.edu/~sontag/ for related work

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Optimization and Control, Dynamical Systems, Quantitative Methods

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http://salesiana.dossiersoluciones.com/handle/123456789/69438

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0312062
 http://arxiv.org/abs/math/0312062

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arXiv