Chemical reaction network decomposition technique for stability analysis

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