用单调系统的小增益方法分析昼夜节律模型
An Analysis of a Circadian Model Using The Small-Gain Approach to Monotone Systems
摘要：
在这份说明中，我们将展示如何Goldbeter的1995年的昼夜节律振荡模型的某些属性可以证明数学，从最近开发的单调系统的输入和输出理论的技术。该理论建立了全球渐近稳定性，特别是没有振荡，如果转录率是小于，假定由Goldbeter。这种稳定性即使在反馈回路中的任意延迟下也保持不变。
英文摘要：
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.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
