2.4.7 Network Modelling. a) Consider the closed reaction network in Figure 2.16 with reaction rates vi as indicated. Suppose that the reaction rates are given by mass action as v1=k1[A][B],v2=k2[D] and v3=k3[C]. i) Construct a differential equation model for the network. Use moiety conservations to reduce your model to three differential equations and three algebraic equations. ii) Solve for the steady-state concentrations as functions of the rate constants and the initial concentrations. (Note, because the system is closed, some of the steady-state concentrations are zero.)