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

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dc.creatorAngeli, David
dc.creatorSontag, Eduardo D.
dc.date2003-12-02
dc.date.accessioned2026-07-07T05:03:29Z
dc.date.available2026-07-07T05:03:29Z
dc.descriptionIn 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.
dc.descriptionSee http://www.math.rutgers.edu/~sontag/ for related work
dc.identifierhttps://arxiv.org/abs/math/0312062
dc.identifierhttp://arxiv.org/abs/math/0312062
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/69438
dc.subjectOptimization and Control
dc.subjectDynamical Systems
dc.subjectQuantitative Methods
dc.titleAn Analysis of a Circadian Model Using The Small-Gain Approach to Monotone Systems
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