Chemical reaction networks in a Laplacian framework

The study of the dynamics chemical reactions, and in particular unusual phenomena such as oscillation has led to development mathematical strategies for understanding equations governing their behavior. One feature this is recognition that dynamical properties a reaction can be predicted from graph theoretical certain network, called Chemical Reaction Network or CRN. It remarkable fact much these complicated systems polynomial differential can, large extent, understood by looking at an associated linear operator determined underlying network. In paper, we use perspective drastically simplify traditional treatment standard results pertaining so-called deficiency zero CRN theory. This also allows us present novel proofs entirely more natural context directed Laplacians, with minimal chemistry-specific language. way provide even accessible introduction theory average mathematics student little no knowledge chemistry.