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A Secant Condition for Cyclic Systems with Time Delays and its Application to Gene Regulatory Networks

机译:具有时滞的循环系统的割割条件及其在基因调控网络中的应用

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摘要

A stability condition is derived for cyclic systems with time delayed negative feedback. The result is an extension of the so-called secant condition, which is originally developed for systems without time delays. This extension of the secant condition gives a new local stability condition for a model of GRNs (Gene Regulatory Networks) under negative feedback. Stability robustness of homogenous networks is also investigated.
机译:具有时滞负反馈的循环系统的稳定性条件是导出的。结果是扩展了割线条件,该割线条件最初是为没有时间延迟的系统开发的。割线条件的这种扩展为负反馈下的GRN(基因调控网络)模型提供了新的局部稳定性条件。还研究了同构网络的稳定性鲁棒性。

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