  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.
