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Robust and structural ergodicity analysis of stochastic biomolecular networks involving synthetic antithetic integral controllers

机译:随机生物分子的鲁棒和结构遍历性分析   涉及合成反对积分控制器的网络

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摘要

Ergodicity and output controllability have been shown to be fundamentalconcepts for the analysis and synthetic design of closed-loop stochasticreaction networks, as exemplified by the use of antithetic integral feedbackcontrollers. In [Gupta, Briat & Khammash, PLoS Comput. Biol., 2014], someergodicity and output controllability conditions for unimolecular and certainclasses of bimolecular reaction networks were obtained and formulated throughlinear programs. To account for context dependence, these conditions were laterextended in [Briat & Khammash, CDC, 2016] to reaction networks with uncertainrate parameters using simple and tractable, yet potentially conservative,methods. Here we develop some exact theoretical methods for verifying, in arobust setting, the original ergodicity and output controllability conditionsbased on algebraic and polynomial techniques. Some examples are given forillustration.
机译:遍历性和输出可控性已被证明是闭环随机反应网络的分析和综合设计的基本概念,以对立积分反馈控制器为例。在[Gupta,Briat&Khammash,PLoS Comput。 [Biol。,2014],通过线性程序获得了单分子和某些类双分子反应网络的致密性和输出可控性条件。为了解决上下文依赖问题,这些条件后来在[Briat&Khammash,CDC,2016]中使用简单且易于处理,但可能具有保守性的方法扩展到参数不确定的反应网络。在这里,我们开发了一些精确的理论方法,可以在稳健的环境中基于代数和多项式技术验证原始的遍历性和输出可控性条件。举例说明。

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