Isotopic probes yield microscopic constants: separation of binding energy from catalytic efficiency in the bovine plasma amine oxidase reaction

Abstract
Bovine plasma amine oxidase catalyzes the oxidative deamination of primary amines. The reaction can be viewed as 2 half-reactions: enzyme reduction by substrate followed by enzyme reoxidation by O2. Anaerobic stopped-flow kinetic measurements of the 1st half-reaction indicate very large deuterium isotope effects for benzylamine, m-tyramine and dopamine, Dk = 13.5 .+-. 1.3, which are ascribed to an intrinsic isotope effect. From the insensitivity of these isotope effects to amine concentration, stopped-flow data provide substrate dissociation constants, K1, and rate constants for the C.sbd.H bond cleavage step, k3, directly. Steady-state isotope effects were also measured for benzylamine and 6 ring-substituted phenethylamines. Whereas a small range of values for kcat, 0.38-1.2 s-1, and Dkcat, 5.4-8.8, is observed, kcat/Km = 1.3 .times. 102 to 3.8 .times. 104 M-1 s-1 and D(kcat/Km) = 5.6-16.1 indicate a marked effect of ring substituent. As described earlier, the availability of an intrinsic isotope effect for an enzymatic reaction permits calculation of microscopic constants from steady-state data. By employment of a minimal mechanism involving a single precatalytic and multiple postcatalytic enzyme-substrate complexes, equations were derived that allow calculation of k3 and K1 and dKeq .simeq. 1 < Dk. Unexpectedly, in the case of K1, this parameter can be calculated from steady-state parameters without the requirement for an intrinsic isotope effect. This result should have general application to both ping-pong and sequential ternary-complex enzyme mechanisms. Of significnace for future applications of steady-state isotope effects to the calculation of microscopic constants, values for K1 and k3 derived from steady-state parameters and single turnover measurements indicate excellent agreement. Compilation of parameters among 6 ring-substituted phenethylamines reveales alteration in .DELTA.G for enzyme-substrate complex formation by 2.8 kcal/mol, together with an essentially invariant rate constant for C.sbd.H bond activation. A detailed discussion of the relevance of these findings to the interrelationship of binding energy and catalytic efficiency in enzyme reactions is presented.