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Cytochrome c oxidase is a superfamily of membrane bound enzymes catalyzing the exergonic reduction of molecular oxygen to water, producing an electrochemical gradient across the membrane. The gradient is formed both by the electrogenic chemistry, taking electrons and protons from opposite sides of the membrane, and by proton pumping across the entire membrane. In the most efficient subfamily, the A-family of oxidases, one proton is pumped in each reduction step, which is surprising considering the fact that two of the reduction steps most likely are only weakly exergonic. Based on a combination of quantum chemical calculations and experimental information, it is here shown that from both a thermodynamic and a kinetic point of view, it should be possible to pump one proton per electron also with such an uneven distribution of the free energy release over the reduction steps, at least up to half the maximum gradient. A previously suggested pumping mechanism is developed further to suggest a reason for the use of two proton transfer channels in the A-family. Since the rate of proton transfer to the binuclear center through the D-channel is redox dependent, it might become too slow for the steps with low exergonicity. Therefore, a second channel, the K-channel, where the rate is redox-independent is needed. A redox-dependent leakage possibility is also suggested, which might be important for efficient energy conservation at a high gradient. A mechanism for the variation in proton pumping stoichiometry over the different subfamilies of cytochrome oxidase is also suggested. This article is part of a Special Issue entitled: 18th European Bioenergetic Conference., (Copyright © 2014 Elsevier B.V. All rights reserved.)

It has experimentally been found that certain mutations close to the entry point of the proton transfer channel in cytochrome c oxidase stop proton translocation but not the oxygen reduction chemistry. This effect is termed uncoupling. Since the mutations are 20Å away from the catalytic center, this is very surprising. A new explanation for this phenomenon is suggested here, involving a local effect at the entry point of the proton channel, rather than the long range effects suggested earlier., (Copyright © 2013 Federation of European Biochemical Societies. Published by Elsevier B.V. All rights reserved.)

The mechanism for proton pumping in cytochrome c oxidase in the respiratory chain, has for decades been one of the main unsolved problems in biochemistry. However, even though several different suggested mechanisms exist, many of the steps in these mechanisms are quite similar and constitute a general consensus framework for discussing proton pumping. When these steps are analyzed, at least three critical gating situations are found, and these points are where the suggested mechanisms in general differ. The requirements for gating are reviewed and analyzed in detail, and a mechanism is suggested, where solutions for all the gating situations are formulated. This mechanism is based on an electrostatic analysis of a kinetic experiment fior the O to E transition. The key component of the mechanism is a positively charged transition state. An electron on heme a opens the gate for proton transfer from the N-side to a pump loading site (PLS). When the negative charge of the electron is compensated by a chemical proton, the positive transition state prevents backflow from the PLS to the N-side at the most critical stage of the pumping process. The mechanism has now been tested by large model DFT calculations, and these calculations give strong support for the suggested mechanism., (Copyright © 2011 Elsevier B.V. All rights reserved.)

Recent developments of quantum chemical methods have made it possible to tackle crucial questions in bioenergetics. The most important systems, cytochrome c oxidase in cellular respiration and photosystem II (PSII) in photosynthesis will here be used as examples to illustrate the power of the quantum chemical tools. One main contribution from quantum chemistry is to put mechanistic suggestions onto an energy scale. Accordingly, free energy profiles can be constructed both for reduction of molecular oxygen in cytochrome c oxidase and water oxidation in PSII, including O-O bond cleavage and formation, and also proton pumping in cytochrome c oxidase. For the construction of the energy diagrams, the computational results sometimes have to be combined with experimental information, such as reduction potentials and rate constants for individual steps in the reactions., (2009 Elsevier B.V. All rights reserved.)

Two different issues, important for the pumping mechanism of cyctochrome c oxidase, have been addressed in the present study. One of them concerns the nature of two key proton transfer transition states. A simple electrostatic model is used to suggest that the transition state (TS) for transfer to the pump-site should be positively charged, while the one for transfer to the binuclear center should be charge-neutral. The character of the former TS will guarantee that the protons will be pumped to the outside and not return to the inside, while the neutral character of the latter one will allow transfer with a sufficiently low barrier. In the simple electrostatic analysis, leading to this qualitative picture of the pumping process, the results from the kinetic experiments are strictly followed, but it is at least as important to follow the fundamental requirements for pumping. In this perspective, the uncertainties in the quantitative analysis should be rather unimportant for the emerging qualitative picture of the pumping mechanism. The second problem addressed concerns the purpose of the K-channel. It is argued that the reason for the presence of the K-channel could be that protons cannot pass through the binuclear center at some stage of pumping. Barriers and water binding energies were computed using hybrid density functional theory (DFT) to investigate this question.

The powerful technique of energy diagrams has been used to analyze the mechanism for proton pumping in cytochrome c oxidase. Energy levels and barriers are derived starting out from recent kinetic experiments for the O to E transition, and are then refined using general criteria and a few additional experimental facts. Both allowed and non-allowed pathways are obtained in this way. A useful requirement is that the forward and backward rate should approach each other for the full membrane gradient. A key finding is that an electron on heme a (or the binuclear center) must have a significant lowering effect on the barrier for proton uptake, in order to prevent backflow from the pump-site to the N-side. While there is no structural gating in the present mechanism, there is thus an electronic gating provided by the electron on heme a. A quantitative analysis of the energy levels in the diagrams, leads to Prop-A of heme a(3) as the most likely position for the pump-site, and the Glu278 region as the place for the transition state for proton uptake. Variations of key redox potentials and pK(a) values during the pumping process are derived for comparison to experiments.

Gaining a detailed understanding of the energetics of the proton pumping process in cytochrome c oxidase (CcO) is one of the challenges of modern biophysics. Although there are several current mechanistic proposals, most of these ideas have not been subjected to consistent structure-function considerations. In particular most works have not related the activation barriers for different mechanistic proposals to the protein structure. The present work describes a general approach for exploring the energetics of different feasible models of the action of CcO, using the observed protein structure, established simulation methods and a modified Marcus' formulation. We start by reviewing our methods for evaluation of the energy diagrams for different proton translocation paths and then present a systematic analysis of various constraints that should be imposed on any energy diagram for the pumping process. After the general analysis we turn to the actual computational study, where we construct energy diagrams for forward and backward paths, using the estimated calculated reduction potentials and pK(a) values of all the relevant sites (including internal water molecules). We then explore the relationship between the calculated energy diagrams and key experimental constraints. This comparison allows us to identify some barriers that are not fully consistent with the overall requirement for an efficient pumping. In particular we identify back leakage channels, which are hard to block without stopping the forward channels. This helps to identify open problems that will require further experimental and theoretical studies. We also consider reasonable adjustments of the calculated barriers that may lead to a working pump. Although the present analysis does not establish a unique and workable model for the mechanism of CcO, it presents what is probably the most consistent current analysis of the barriers for different feasible pathways. Perhaps more importantly, the framework developed here should provide a general way for examining any proposal for the action of CcO as well as for the analysis of further experimental findings about the action of this fascinating system.

The Density functional theory (B3LYP) has been used to study the mechanisms of O--O bond cleavage and proton pumping in cytochrome c oxidase. To understand how the energy from the exergonic reduction of molecular oxygen is used to pump protons across the mitochondrial membrane, the energetics of all steps in the catalytic cycle have to be evaluated. For this purpose, models have to be designed that can accurately reproduce relative redox potentials and pKa values within the active site. The present study shows that it is possible to construct such models and to calculate energy profiles which, to a large extent, agree with experimental information. However, the energy profiles point out a problem with an unbalanced partitioning of the energy between the reductive and oxidative half cycles, which is in disagreement with the experimental observation that the proton pumping is evenly distributed between the two half cycles. A conclusion from the present study is, therefore, that something is probably still missing in the modeling of the active site.

Theoretical studies (B3LYP) on models of the active sites in Photosystem II (PSII) and cytochrome oxidase are discussed. The role of a tyrosyl radical in the O-O bond formation in PSII is investigated, as well as the tyrosyl radical formation. In cytochrome oxidase, mechanisms for O-O bond cleavage involving tyrosyl radical formation are investigated, together with possible roles for the tyrosine in the proton translocation.

Density functional theory (B3LYP) has been applied to large models of the Fe(II)-Cu(I) binuclear center in cytochrome oxidase, investigating the mechanism of O-O bond cleavage in the mixed valence form of the enzyme. To comply with experimental information, the O(2) molecule is assumed to be bridging between iron and copper during the O-O bond cleavage, leading to the formation of a ferryl-oxo group and a cupric hydroxide. In accord with previous suggestions, the calculations show that it is energetically feasible to take the fourth electron needed in this reaction from the tyrosine residue that is cross-linked to one of the copper ligands, resulting in the formation of a neutral tyrosyl radical. However, the calculations indicate that simultaneous transfer of an electron and a proton from the tyrosine to dioxygen during bond cleavage leads to a barrier more than 10 kcal/mol higher than that experimentally determined. This may be overcome in two ways. If an extra proton in the binuclear center assists in the mechanism, the calculated reaction barrier agrees with experiment. Alternatively, the fourth electron might initially be supplied by a residue in the vicinity other than the tyrosine.

Hybrid density functional theory (DFT) calculations have been used to investigate different mechanisms for O-O bond splitting in cytochrome oxidase. It is shown that the requirement for a low activation barrier for the O-O bond splitting is that two protons, apart from the tyrosine hydroxyl proton, are available at the binuclear center. A mechanism is suggested for the transformation from a species with a molecularly coordinated O2, to an O-O cleaved species with an oxo-ferryl group. The mechanism has a calculated activation barrier in reasonable agreement with experimental estimates, and the overall reaction is close to thermoneutral, in line with the requirement that the energy wasted as heat should be minimized. The rate limiting step in the mechanism occurs at the initial Fe-O2 intermediate, consistent with experimental observations that the decay of the oxy intermediate parallels the increase of the oxo product. The formation of a radical at the cross-linked tyrosine-histidine structure is a possible source for one of the electrons required in the bond cleavage process. Possible sources for the two protons are discussed, including a suggested key role for the hydroxyl group on the farnesyl side chain of heme a3.