A microscopic model of enzyme kinetics.
Many in vivo enzymatic processes, such as those of the tissue factor pathway of blood coagulation, occur in environments with facilitated substrate delivery or enzymes bound to cellular or lipid surfaces, which are quite different from the ideal fluid environment for which the Michaelis-Menten equation was derived. To describe the kinetics of such reactions, we propose a microscopic model that focuses on the kinetics of a single-enzyme molecule. This model provides the foundation for macroscopic models of the system kinetics of reactions occurring in both ideal and nonideal environments. For ideal reaction systems, the corresponding macroscopic models thus derived are consistent with the Michaelis-Menten equation. It is shown that the apparent Km is in fact a function of the mechanism of substrate delivery and should be interpreted as the substrate level at which the enzyme vacancy time equals the residence time of ES-complexes; it is suggested that our microscopic model parameters characterize more accurately an enzyme and its catalytic efficiency than does the classical Km. This model can also be incorporated into computer simulations of more complex reactions as an alternative to explicit analytical formulation of a macroscopic model.
Department of Mathematics and Statistics, University of Guelph, Ontario, Canada.
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Gentry
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Ye
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Nemerson
D000818:Animals; D001667:Binding, Competitive; D055592:Biophysical Phenomena; D001703:Biophysics; D003198:Computer Simulation; D004058:Diffusion; D004789:Enzyme Activation; D004791:Enzyme Inhibitors / Q000378:metabolism; D004798:Enzymes / Q000737:chemistry / Q000378:metabolism*; D006801:Humans; D007700:Kinetics; D008954:Models, Biological; D013379:Substrate Specificity
D004791:Enzyme Inhibitors; D004798:Enzymes