Just as circuit theory breaks complex electrical circuits into simpler components, a new framework does the same for chemical reaction networks, providing tools to simplify analysis of molecule and energy flow.

Reaction networks are often used to model interacting species in fields such as biochemistry and ecology. When the counts of sufficiently large, dynamics their concentrations typically modeled via a system differential equations. However, when some small, stochastically discrete state, continuous time Markov chain. A key quantity interest for models is probability mass function process at fixed...

We describe a large class of chemical reaction networks, those endowed with a subtle structural property called concordance. We show that the class of concordant networks coincides precisely with the class of networks which, when taken with any weakly monotonic kinetics, invariably give rise to kinetic systems that are injective - a quality that, among other things, precludes the possibility of...