Past exam of the topics in applied mathematics course of the University of Oxford / 2007 / A / 2 / i / Solution

Law of mass action assigns net substrate gain $k_{0}s$ to autocatalytic replication, substrate-enzyme binding flux $k_{1}se$, dissociation flux $k_{-1}c$ and product-formation flux $k_{2}c$. ThereforeComplex breakdown to product restores free enzyme but does not restore substrate. Product concentration, if required, satisfies $\dot{p}=k_{2}c$.