An analysis of a circadian model using the small-gain approach to monotone systems

被引：16

作者：

Angeli, D ^{[1
]}

Sontag, ED ^{[1
]}

机构：

[1] Univ Florence, Dipartimento Sistemi & Informat, I-50139 Florence, Italy

来源：

2004 43RD IEEE CONFERENCE ON DECISION AND CONTROL (CDC), VOLS 1-5 | 2004年

关键词：

D O I：

10.1109/CDC.2004.1428692

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

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.

引用

页码：575 / 578

页数：4

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