Before revision: We give a graphically based procedure to reduce a reaction network to a smaller reaction network with fewer species after linear elimination of a set of noninteracting species. We give a description of the reduced reaction network, its kinetics and conservations laws, and explore properties of the network and its kinetics.
After revision: We give a graphically based procedure to reduce a reaction network to a smaller reaction network with fewer species after linear elimination of a set of reactions and the corresponding rate functions. The procedure is graphically based and can easily be worked out by hand for small networks. For larger networks, we provide a pseudo-algorithm. We study properties of the reduced reaction network, its kinetics and conservations laws, and explore properties of the network and its kinetics.