An Analysis of a Circadian Model Using The Small-Gain Approach to Monotone Systems
最优化与控制
2007-05-23 v1 动力系统
定量方法
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
@article{arxiv.math/0312062,
title = {An Analysis of a Circadian Model Using The Small-Gain Approach to Monotone Systems},
author = {David Angeli and Eduardo D. Sontag},
journal= {arXiv preprint arXiv:math/0312062},
year = {2007}
}
备注
See http://www.math.rutgers.edu/~sontag/ for related work