A single catalytic site model is proposed to account for the multiphasic kinetics of oxidation of ferrocytochrome c by cytochrome c oxidase (ferrocytochrome c:oxygen oxidoreductase, EC 1.9.3.1). This model involves nonproductive binding of substrate .to sites near the catalytic site on cytochrome c oxidase for cytochrome c, decreasing the binding constant for cytochrome c at the catalytic site. This substrate inhibition results in an increase.in the first-order rate constant for the dissociation of the ferricytochrome c-cytochrome c oxidase complex, the rate-limiting step in the steady-state turnover of electrons between cytochrome c and cytochrome c oxidase in the spectrophotometric assay, yielding increases in the initial rate as well as the Michaelis constant-namely, multiple kinetic phases. (2) and Borei (3) proposed that the reaction involved the formation of an enzyme-substrate complex. In 1949, Slater (4) confirmed and extended the observations of these authors, demonstrating that at any single concentration of enzyme [provided in the form of a KeilinHartree heart muscle particle preparation (5)], the kinetics indeed fit the Michaelis-Menten relation. However, the oxidation of ferrocytochrome c monitored spectrophotometrically (namely, in the absence of any added reducing agent) was generally observed to follow a first-order time course (6-13). Because the observed first-order rate constants decrease with increasing cytochrome c concentration rather than remaining unchanged, as one would expect for a simple bimolecular collisional mechanism with no precursor-pair formation, Smith and Conrad (13) suggested that the hyperbolic dependence of the initial velocity on cytochrome c concentration was due to inhibition of the reaction by cytochrome c itself.That this was not the only possible explanation of these kinetics followed from Minnaert's (14) elegant analysis, in which it was shown that a first-order time course could arise from equal binding of ferro-and ferricytochromes c to cytochrome oxidase, with ferrocytochrome c forming a productive complex while ferricytochrome c acted as a competitive inhibitor. This hypothesis was supported by Yonetani and Ray (15), who demonstrated that (i) under conditions in which first-order kinetics are observed, the K1 for ferricytochrome c is the same as the apparent Michaelis constant for ferrocytochrome c and (ii) at more alkaline pH values, where the kinetics deviate from a first-order time course, the K1 for ferricytochrome c is no longer equal to the apparent Km for the reaction.Indeed, inspection of the Michaelis-Menten equation, which takes into account binding of product to the enzyme, leads to the expression: dp _ Vmax 15= kobS, dt LKm + (s + P)when Km is a good approximation of Ks, the equilibrium substrate binding constant, and the binding of substrate and product are equivalent, namely K, = Kp (16). Thus, kobs is a first-order rate constant that is distinguishable from an ordinary first-order rate constant because it is a function of s + p, the tot...