Enzymatic reactions integrated rate equations

By integrating the rate equation it should be possible to obtain a mathematical description of the entire time course of a reaction. Conversely it is evident that in measuring only the initial rate of a reaction one is discarding a large amount of information. Various attempts have been made to use integrated rate equations in order to obtain the kinetic parameters for enzymatic reactions [e.g. 71-75] but only with enzymes which had previously been studied by the initial-rate method. The integrated-rate equation has not found favour as a primary analytical tool, despite... 

Equation (8.3.4) may also be used in the analysis of kinetic data taken in laboratory scale stirred-tank reactors. One may determine the reaction rate directly from a knowledge of the reactor volume, the molar flow rate of the limiting reagent, and stream compositions. The fact that one may determine the rate directly and without integration makes stirred-tank reactors particularly attractive for use in studies of reactions with complex rate expressions (e.g., enzymatic or heterogeneous catalytic reactions) or of systems in which multiple reactions take place. Equation (8.3.4) is... 

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