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Structural reduction of CRNs with linear sub-CRNs

机译:线性子CRN的CRN的结构减少

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A novel systems theory-based structural reduction method is proposed in this paper that can be applied to chemical reaction networks (CRNs) including subsystems consisting of linear reactions, i.e. a linear sub-CRN. The reduced model is a delayed CRN with distributed delays having less complexes (monomials) and reactions than the original model. The reduction is based on the fact that the input/output response of a linear sub-CNR can be seen as a time-delayed input to output relationship, therefore linear sub-CNRs can be interpreted as reactions with distributed delay from their input to their output complexes. The practically important example of a kinetic model describing the spread of the COVID-19 epidemic is used as a case study to illustrate the basic concepts and the computation method.
机译:本文提出了一种新的基于系统理论的结构还原方法,其可以应用于包括由线性反应组成的子系统的化学反应网络(CRN),即线性亚CRN。 降低的模型是具有分布式延迟的延迟CRN,其复杂较少(单体)和比原始模型的反应。 减少基于:线性子CNR的输入/输出响应可以被视为输出关系的时间延迟输入,因此线性子CNR可以被解释为与它们的输入到其输入的分布式延迟的反应 输出复合物。 描述了描述Covid-19流行病的传播的动力学模型的实际重要示例用作案例研究,以说明基本概念和计算方法。

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