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2.4.7 Network Modelling. a) Consider the closed reaction network in Figure 2.16 with reaction rates as indicated. Suppose that the reaction rates are given by

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2.4.7 Network Modelling. a) Consider the closed reaction network in Figure 2.16 with reaction rates as indicated. Suppose that the reaction rates are given by mass action am = k1[A][B], v2 = k2[D] and v3 = k3[C]. i) Construct a dierentiai 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 con- centrations. (Note, because the system is closed, some of the steady-state concentrations are zero.)

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