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arXiv · 2102.10636

Chemical Reaction Network Decomposition Technique for Stability Analysis

Yafei Lu·Chuanhou Gao·Denis Dochain
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Abstract

This paper develops the concept of decomposition for chemical reaction networks, based on which a network decomposition technique is proposed to capture the stability of large-scale networks characterized by a high number of species, high dimension, high deficiency, and/or non-weakly reversible structure. We present some sufficient conditions to capture the stability of a network (may possess any dimension, any deficiency, and/or any topological structure) when it can be decomposed into a complex balanced subnetwork and a few 1-dimensional subnetworks (and/or a few two-species subnetworks), especially in the case when there are shared species in different subnetworks. The results cover encouraging applications on autocatalytic networks with some frequently-encountered biochemical reactions examples of interest, such as the autophosphorylation of PAK1 and Aurora B kinase, autocatalytic cycles originating from metabolism, etc.

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Yafei Lu, Chuanhou Gao, Denis Dochain. 2021-02-21. Chemical Reaction Network Decomposition Technique for Stability Analysis. https://arxiv.org/abs/2102.10636

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