  We introduce the notion of corresponding a chemical reaction network to a
split network translation, and use this novel process to extend the scope of
existing network-based theory for characterizing the steady state set of
mass-action systems. In the process of network splitting, the reactions of a
network are divided into subnetworks, called slices, in such a way that, when
summed across the slices, the stoichiometry of each reaction sums to that of
the original network. This can produce a network with more desirable structural
properties, such as weak reversibility and a lower deficiency, which can then
be used to establish steady state properties of the original mass-action system
such as multistationarity and absolute concentration robustness. We also
present a computational implementation utilizing mixed-integer linear
programming for determining whether a given chemical reaction network has a
weakly reversible split network translation.

Dynamical Systems;Optimization and Control