The H+/O ratio of proton translocation linked to the oxidation of succinate by mitochondria. Reply to a commentary

Problems in the experimental determination of substrate-specific H+/O ratios during respiration

Krab et al. (1984) have recently tried to resolve the long-standing controversy as to whether the mechanistic H+/O coupling ratio for electrons passing through sites II and III of the mammalian electron transport chain to O2 is 6 or 8. Using a mathematical model they concluded that the higher number reported by Costa et al. (1984) was an overestimate because of the unaccounted for delayed response of the O2 electrode. Responding to criticisms of Lehninger et al. (1985), they have recently used (Krab and Wikström, 1986) an improved mathematical model which shows that the higher number found by Costa et al. was probably due to an inadequate accounting for the effects of the proton leak process which accompanies the translocation process. The impression is left that the situation is now resolved in favor of the lower number. We agree that the procedures of Costa et al. do not properly account for the leak process, and provide further evidence in this paper of the magnitude of the problem. However, we disagree that the number 6.0, favored by Wikström et al., rests on any more solid experimental support. We provide evidence here for this conclusion and raise the question as to whether or not any unique, fixed, integral number exists for the H+/O ratio accompanying the oxidation of a particular substrate.

An ATP/2e-stoichiometry of 1 1/2 is thermodynamically possible for site 3 of oxidative phosphorylation

Free energy changes for ATP synthesis (delta GP) and 2e(-)-transfer across Site 3 (delta GR) were determined during oxidative phosphorylation by rat liver mitochondria. At static head, -delta GR/delta GP ranged narrowly between 1.55 and 1.59 with five different respiratory substrates. Thus, an ATP/2e- of 1 1/2 at Site 3 is thermodynamically possible with regards to overall reactants and products. Using nonequilibrium thermodynamics, phenomenological stoichiometries were close to 1 1/2 for all substrates suggesting that ATP/2e- at Site 3 is, in fact, 1 1/2. An ATP/2e- of 1 1/2 can only be possible if H+/O is 4 for cytochrome oxidase.

The upper and lower limits of the mechanistic stoichiometry of mitochondrial oxidative phosphorylation. Stoichiometry of oxidative phosphorylation

Determination of the intrinsic or mechanistic P/O ratio of oxidative phosphorylation is difficult because of the unknown magnitude of leak fluxes. Applying a new approach developed to overcome this problem (see our preceding paper in this journal), the relationships between the rate of O2 uptake [( Jo)3], the net rate of phosphorylation (Jp), the P/O ratio, and the respiratory control ratio (RCR) have been determined in rat liver mitochondria when the rate of phosphorylation was systematically varied by three specific means. (a) When phosphorylation is titrated with carboxyatractyloside, linear relationships are observed between Jp and (Jo)3. These data indicate that the upper limit of the mechanistic P/O ratio is 1.80 for succinate and 2.90 for 3-hydroxybutyrate oxidation. (b) Titration with malonate or antimycin yields linear relationships between Jp and (Jo)3. These data give the lower limit of the mechanistic P/O ratio of 1.63 for succinate and 2.66 for 3-hydroxybutyrate oxidation. (c) Titration with a protonophore yields linear relationships between Jp, (Jo)3, and (Jo)4 and between P/O and 1/RCR. Extrapolation of the P/O ratio to 1/RCR = 0 yields P/O ratios of 1.75 for succinate and 2.73 for 3-hydroxybutyrate oxidation which must be equal to or greater than the mechanistic stoichiometry. When published values for the H+/O and H+/ATP ejection ratios are taken into consideration, these measurements suggest that the mechanistic P/O ratio is 1.75 for succinate oxidation and 2.75 for NADH oxidation.

Determination of the stoichiometry of redox-linked proton translocation from the kinetics of pulse experiments. A simulation study

We have previously published a simple kinetic model to analyse possible pitfalls in kinetic measurements of H+/O ratios in mitochondria [(1984) FEBS Lett. 178, 187-192]. While this model demonstrated how relative electrode response times may affect the results, it did not adequately describe the kinetics of proton back-diffusion across the membrane. Here this model is further developed and improved, and shown to give a good quantitative description of both oxygen-pulse type experiments as well as of experiments where the reaction is started by photolysis of the cytochrome c oxidase-CO complex. Simulations based on this model reveal that the extrapolation procedure used by Lehninger et al. [e.g. (1984) J. Biol. Chem. 259, 4802-4811] to estimate the H+/O ratio will tend to yield overestimated values. This is mainly due to the back-diffusion of protons into the mitochondria, which is not correctly accounted for by this extrapolation.