This paper presents a method for characterizing complex chemical systems often encountered in studies of homogeneous, heterogeneous catalytic, and enzyme reactions. From a list of chosen elementary steps, it is shown how all possible mechanisms and corresponding overall chemical equations can be enumerated. This furnishes a valuable tool for the further consideration of desired reactions and elucidation of their kinetics. Illustrative examples are given, including problems of current interest. A computer program is available to implement the procedures required.

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This paper presents a new procedure for the derivation of steady-state rate calculations by computer for enzyme kinetics using data on strains of human dihydrofolate reductase (DHFR) reported in the literature. This enzyme continues to command the attention of scientists since its discovery in the late 1950s in connection with applications to cancer therapy. Kinetics of nonhuman strains previously reported (Happel, J.; Sellers, P. H. J. Phys. Chem. 1995, 99, 6595) appears to be much simpler. In the present case it is necessary to introduce the concepts that an elementary step should be treated as a vector possessing the same direction in each submechanism that it occurs.

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A novel method based on cup‐mixing concentration and superficial velocity is presented for the analysis of reactions in isothermal fixed‐bed reactors. It is founded on experimentally observed profiles of concentration and velocity so as to preserve the heterogeneity of a reaction system. The domain of application of the model includes reaction systems at lower Reynolds numbers and Péclet numbers of less than 700 with a void fraction of ϕ for which the ratio of the bed‐length‐to‐particle diameter to particle Péclet number exceeds 0.3ϕ1−ϕ.