Computer simulation of explicit proton translocation in cytochrome c oxidase: the D-pathway

Proton transfer in the D-channel of cytochrome c oxidase modeled by a transition network approach

BACKGROUND

Determination of proton uptake pathways in Cytochrome c Oxidase is difficult due to the complexity of the system. The transition networks approach allows sampling of proton transfer pathways without predefined reaction coordinate.

METHODS

Computation of the proton transfer pathways in a model of the D-channel of cytochrome c oxidase has been performed by a transition network approach that combines discrete, optimisation based and molecular dynamics based sampling.

RESULTS

The optimal pathway involves an opening of the so-called asparagine gate, hydration of the asparagine region, the formation of a hydrogen-bonded chain, and finally concerted proton hole transport along this chain. The optimal pathway finds the protonation of residue H26 close to the channel entrance favourable for lowering the transition energies of subsequent steps, in particular, opening of the Asn gate and formation of a hydrogen-bonded chain. Residue Y33 plays an important role in shuttling the transferred proton hole.

CONCLUSIONS

The optimal pathway found by the transition network approach shows the same important characteristics as pathways determined earlier by other methods. The computed barrier and reaction energies are also in good agreement with previous studies. The transition network approach provides an alternative to explore pathways in complex systems.

GENERAL SIGNIFICANCE

The correct function of the enzyme as oxidase and proton pump depends on the interplay of several redox and proton transport steps. Understanding the proton transport mechanism is therefore key to understanding the protein's function. The complex nature of long- distances proton transfer through a protein requires a non-trivial simulation strategy.

Green Rust: The Simple Organizing 'Seed' of All Life?

Korenaga and coworkers presented evidence to suggest that the Earth's mantle was dry and water filled the ocean to twice its present volume 4.3 billion years ago. Carbon dioxide was constantly exhaled during the mafic to ultramafic volcanic activity associated with magmatic plumes that produced the thick, dense, and relatively stable oceanic crust. In that setting, two distinct and major types of sub-marine hydrothermal vents were active: ~400 °C acidic springs, whose effluents bore vast quantities of iron into the ocean, and ~120 °C, highly alkaline, and reduced vents exhaling from the cooler, serpentinizing crust some distance from the heads of the plumes. When encountering the alkaline effluents, the iron from the plume head vents precipitated out, forming mounds likely surrounded by voluminous exhalative deposits similar to the banded iron formations known from the Archean. These mounds and the surrounding sediments, comprised micro or nano-crysts of the variable valence FeII/FeIII oxyhydroxide known as green rust. The precipitation of green rust, along with subsidiary iron sulfides and minor concentrations of nickel, cobalt, and molybdenum in the environment at the alkaline springs, may have established both the key bio-syntonic disequilibria and the means to properly make use of them-the elements needed to effect the essential inanimate-to-animate transitions that launched life. Specifically, in the submarine alkaline vent model for the emergence of life, it is first suggested that the redox-flexible green rust micro- and nano-crysts spontaneously precipitated to form barriers to the complete mixing of carbonic ocean and alkaline hydrothermal fluids. These barriers created and maintained steep ionic disequilibria. Second, the hydrous interlayers of green rust acted as engines that were powered by those ionic disequilibria and drove essential endergonic reactions. There, aided by sulfides and trace elements acting as catalytic promoters and electron transfer agents, nitrate could be reduced to ammonia and carbon dioxide to formate, while methane may have been oxidized to methyl and formyl groups. Acetate and higher carboxylic acids could then have been produced from these C1 molecules and aminated to amino acids, and thence oligomerized to offer peptide nests to phosphate and iron sulfides, and secreted to form primitive amyloid-bounded structures, leading conceivably to protocells.

Multiscale modelization in a small virus: Mechanism of proton channeling and its role in triggering capsid disassembly

In this work, we assess a previously advanced hypothesis that predicts the existence of ion channels in the capsid of small and non-enveloped icosahedral viruses. With this purpose we examine Triatoma Virus (TrV) as a case study. This virus has a stable capsid under highly acidic conditions but disassembles and releases the genome in alkaline environments. Our calculations range from a subtle sub-atomic proton interchange to the dismantling of a large-scale system representing several million of atoms. Our results provide structure-based explanations for the three roles played by the capsid to enable genome release. First, we observe, for the first time, the formation of a hydrophobic gate in the cavity along the five-fold axis of the wild-type virus capsid, which can be disrupted by an ion located in the pore. Second, the channel enables protons to permeate the capsid through a unidirectional Grotthuss-like mechanism, which is the most likely process through which the capsid senses pH. Finally, assuming that the proton leak promotes a charge imbalance in the interior of the capsid, we model an internal pressure that forces shell cracking using coarse-grained simulations. Although qualitatively, this last step could represent the mechanism of capsid opening that allows RNA release. All of our calculations are in agreement with current experimental data obtained using TrV and describe a cascade of events that could explain the destabilization and disassembly of similar icosahedral viruses.

Plant and animal small non-enveloped viruses are composed of a capsid shell that encloses the genome. One of the multiple functions played by the capsid is to protect the genome against host defenses and to withstand environmental aggressions, such as dehydration. This highly specialized capsule selectively recognizes and binds to the target tissue infected by the virus. In the viral cycle, the ultimate function of the capsid is to release the genome. Observations of many viruses demonstrate that the pH of the medium can trigger genome release. Nevertheless, the mechanism underlying this process at the atomic level is poorly understood. In this work, we computationally modeled the mechanism by which the capsid senses environmental pH and the destabilization process that permits genome release. Our calculations predict that a cavity that traverses the capsid functions as a hydrophobic gate, a feature already observed in membrane ion channels. Moreover, our results predict that this cavity behaves as a proton diode because the proton transit can only occur from the capsid interior to the exterior. In turn, our calculations describe a cascade of events that could explain the destabilization and dismantling of an insect virus, but this description could also apply to many vertebrate viruses.

Wide-dynamic-range kinetic investigations of deep proton tunnelling in proteins

Directional proton transport along 'wires' that feed biochemical reactions in proteins is poorly understood. Amino-acid residues with high pKa are seldom considered as active transport elements in such wires because of their large classical barrier for proton dissociation. Here, we use the light-triggered proton wire of the green fluorescent protein to study its ground-electronic-state proton-transport kinetics, revealing a large temperature-dependent kinetic isotope effect. We show that 'deep' proton tunnelling between hydrogen-bonded oxygen atoms with a typical donor-acceptor distance of 2.7-2.8 Å fully accounts for the rates at all temperatures, including the unexpectedly large value (2.5 × 10(9) s(-1)) found at room temperature. The rate-limiting step in green fluorescent protein is assigned to tunnelling of the ionization-resistant serine hydroxyl proton. This suggests how high-pKa residues within a proton wire can act as a 'tunnel diode' to kinetically trap protons and control the direction of proton flow.

Molecular Basis for Differential Anion Binding and Proton Coupling in the Cl(-)/H(+) Exchanger ClC-ec1

Cl–/H+ transporters of the CLC superfamily form a ubiquitous class of membrane proteins that catalyze stoichiometrically coupled exchange of Cl– and H+ across biological membranes. CLC transporters exchange H+ for halides and certain polyatomic anions, but exclude cations, F–, and larger physiological anions, such as PO43– and SO42–. Despite comparable transport rates of different anions, the H+ coupling in CLC transporters varies significantly depending on the chemical nature of the transported anion. Although the molecular mechanism of exchange remains unknown, studies on bacterial ClC-ec1 transporter revealed that Cl– binding to the central anion-binding site (Scen) is crucial for the anion-coupled H+ transport. Here, we show that Cl–, F–, NO3–, and SCN– display distinct binding coordinations at the Scen site and are hydrated in different manners. Consistent with the observation of differential bindings, ClC-ec1 exhibits markedly variable ability to support the formation of the transient water wires, which are necessary to support the connection of the two H+ transfer sites (Gluin and Gluex), in the presence of different anions. While continuous water wires are frequently observed in the presence of physiologically transported Cl–, binding of F– or NO3– leads to the formation of pseudo-water-wires that are substantially different from the wires formed with Cl–. Binding of SCN–, however, eliminates the water wires altogether. These findings provide structural details of anion binding in ClC-ec1 and reveal a putative atomic-level mechanism for the decoupling of H+ transport to the transport of anions other than Cl–.

Molecular simulation and modeling of complex I

Molecular modeling and molecular dynamics simulations play an important role in the functional characterization of complex I. With its large size and complicated function, linking quinone reduction to proton pumping across a membrane, complex I poses unique modeling challenges. Nonetheless, simulations have already helped in the identification of possible proton transfer pathways. Simulations have also shed light on the coupling between electron and proton transfer, thus pointing the way in the search for the mechanistic principles underlying the proton pump. In addition to reviewing what has already been achieved in complex I modeling, we aim here to identify pressing issues and to provide guidance for future research to harness the power of modeling in the functional characterization of complex I. This article is part of a Special Issue entitled Respiratory complex I, edited by Volker Zickermann and Ulrich Brandt.

Efficient Multistate Reactive Molecular Dynamics Approach Based on Short-Range Effective Potentials

Nonbonded interactions between molecules usually include the van der Waals force and computationally expensive long-range electrostatic interactions. This article develops a more efficient approach: the effective-interaction multistate empirical-valence-bond (EI-MS-EVB) model. The EI-MS-EVB method relies on a mapping of all interactions onto a short-range and thus, computationally efficient effective potential. The effective potential is tabulated by matching its force to known trajectories obtained from the full-potential empirical multistate empirical-valence-bond (MS-EVB) model. The effective pairwise interaction depends on and is uniquely determined by the atomic configuration of the system, varying only with respect to the hydrogen-bonding topology. By comparing the EI-MS-EVB and full MS-EVB calculations of several equilibrium and dynamic properties important to hydrated excess proton solvation and transport, we show that the EI-MS-EVB model produces very accurate results for the specific system in which the tabulated potentials were generated. The EI-MS-EVB potential also transfers reasonably well to similar systems with different temperatures and box sizes. The EI-MS-EVB method also reduces the computational cost of the nonbonded interactions by about 1 order of magnitude in comparison with the full algorithm.

Microscopic basis for kinetic gating in Cytochrome c oxidase: insights from QM/MM analysis

Understanding the mechanism of vectorial proton pumping in biomolecules requires establishing the microscopic basis for the regulation of both thermodynamic and kinetic features of the relevant proton transfer steps.

Understanding the mechanism of vectorial proton pumping in biomolecules requires establishing the microscopic basis for the regulation of both thermodynamic and kinetic features of the relevant proton transfer steps. For the proton pump cytochrome c oxidase, while the regulation of thermodynamic driving force for key proton transfers has been discussed in great detail, the microscopic basis for the control of proton transfer kinetics has been poorly understood. Here we carry out extensive QM/MM free energy simulations to probe the kinetics of relevant proton transfer steps and analyze the effects of local structure and hydration level. We show that protonation of the proton loading site (PLS, taken to be a propionate of heme a₃) requires a concerted process in which a key glutamic acid (Glu286H) delivers the proton to the PLS while being reprotonated by an excess proton coming from the D-channel. The concerted nature of the mechanism is a crucial feature that enables the loading of the PLS before the cavity containing Glu286 is better hydrated to lower its pK_a to experimentally measured range; the charged rather than dipolar nature of the process also ensures a tight coupling with heme a reduction, as emphasized by Siegbahn and Blomberg. In addition, we find that rotational flexibility of the PLS allows its protonation before that of the binuclear center (the site where oxygen gets reduced to water). Together with our recent study (P. Goyal, et al., Proc. Natl. Acad. Sci. U. S. A., 2013, 110, 18886–18891) that focused on the modulation of Glu286 pK_a, the current work suggests a mechanism that builds in a natural sequence for the protonation of the PLS prior to that of the binuclear center. This provides microscopic support to the kinetic constraints revealed by kinetic network analysis as essential elements that ensure an efficient vectorial proton transport in cytochrome c oxidase.

The pathway for serial proton supply to the active site of nitrogenase: enhanced density functional modeling of the Grotthuss mechanism

Proton translocation along a chain of eight waters to the active site of nitrogenase is described in detail, using density functional simulations with a 269 atom system that includes surrounding amino acids.

Exploring O2 diffusion in A-type cytochrome c oxidases: molecular dynamics simulations uncover two alternative channels towards the binuclear site

Cytochrome c oxidases (Ccoxs) are the terminal enzymes of the respiratory chain in mitochondria and most bacteria. These enzymes couple dioxygen (O₂) reduction to the generation of a transmembrane electrochemical proton gradient. Despite decades of research and the availability of a large amount of structural and biochemical data available for the A-type Ccox family, little is known about the channel(s) used by O₂ to travel from the solvent/membrane to the heme a₃-Cu_B binuclear center (BNC). Moreover, the identification of all possible O₂ channels as well as the atomic details of O₂ diffusion is essential for the understanding of the working mechanisms of the A-type Ccox. In this work, we determined the O₂ distribution within Ccox from Rhodobacter sphaeroides, in the fully reduced state, in order to identify and characterize all the putative O₂ channels leading towards the BNC. For that, we use an integrated strategy combining atomistic molecular dynamics (MD) simulations (with and without explicit O₂ molecules) and implicit ligand sampling (ILS) calculations. Based on the 3D free energy map for O₂ inside Ccox, three channels were identified, all starting in the membrane hydrophobic region and connecting the surface of the protein to the BNC. One of these channels corresponds to the pathway inferred from the X-ray data available, whereas the other two are alternative routes for O₂ to reach the BNC. Both alternative O₂ channels start in the membrane spanning region and terminate close to Y288_I. These channels are a combination of multiple transiently interconnected hydrophobic cavities, whose opening and closure is regulated by the thermal fluctuations of the lining residues. Furthermore, our results show that, in this Ccox, the most likely (energetically preferred) routes for O₂ to reach the BNC are the alternative channels, rather than the X-ray inferred pathway.

Cytochrome c oxidases (Ccoxs), the terminal enzymes of the respiratory electron transport chain in eukaryotes and many prokaryotes, are key enzymes in aerobic respiration. These proteins couple the reduction of molecular dioxygen to water with the creation of a transmembrane electrochemical proton gradient. Over the last decades, most of the Ccoxs research focused on the mechanisms and energetics of reduction and/or proton pumping, and little emphasis has been given to the pathways used by dioxygen to reach the binuclear center, where dioxygen reduction takes place. In particular, the existence and the characteristics of the channel(s) used by O₂ to travel from the solvent/membrane to the binuclear site are still unclear. In this work, we combine all-atom molecular dynamics simulations and implicit ligand sampling calculations in order to identify and characterize the O₂ delivery channels in the Ccox from Rhodobacter sphaeroides. Altogether, our results suggest that, in this Ccox, O₂ can diffuse via three well-defined channels that start in membrane region (where O₂ solubility is higher than in the water). One of these channels corresponds to the pathway inferred from the X-ray data available, whereas the other two are alternative routes for O₂ to reach the binuclear center.

Molecular dynamics study of the proposed proton transport pathways in [FeFe]-hydrogenase

Possible proton transport pathways in Clostridium pasteurianum (CpI) [FeFe]-hydrogenase were investigated with molecular dynamics simulations. This study was undertaken to evaluate the functional pathway and provide insight into the hydrogen bonding features defining an active proton transport pathway. Three pathways were evaluated, two of which consist of water wires and one of predominantly amino acid residues. Our simulations suggest that protons are not transported through water wires. Instead, the five-residue motif (Glu282, Ser319, Glu279, H2O, Cys299) was found to be the likely pathway, consistent with previously made experimental observations. The pathway was found to have a persistent hydrogen bonded core (residues Cys299 to Ser319), with less persistent hydrogen bonds at the ends of the pathway for both H2 release and H2 uptake. Single site mutations of the four residues have been shown experimentally to deactivate the enzyme. The theoretical evaluation of these mutations demonstrates redistribution of the hydrogen bonds in the pathway, resulting in enzyme deactivation. Finally, coupling between the protein dynamics near the proton transport pathway and the redox partner binding regions was also found as a function of H2 uptake and H2 release states, which may be indicative of a correlation between proton and electron movement within the enzyme.

Expanding the view of proton pumping in cytochrome c oxidase through computer simulation

In cytochrome c oxidase (CcO), a redox-driven proton pump, protons are transported by the Grotthuss shuttling via hydrogen-bonded water molecules and protonatable residues. Proton transport through the D-pathway is a complicated process that is highly sensitive to alterations in the amino acids or the solvation structure in the channel, both of which can inhibit proton pumping and enzymatic activity. Simulations of proton transport in the hydrophobic cavity showed a clear redox state dependence. To study the mechanism of proton pumping in CcO, multi-state empirical valence bond (MS-EVB) simulations have been conducted, focusing on the proton transport through the D-pathway and the hydrophobic cavity next to the binuclear center. The hydration structures, transport pathways, effects of residues, and free energy surfaces of proton transport were revealed in these MS-EVB simulations. The mechanistic insight gained from them is herein reviewed and placed in context for future studies.

Kinetics of the terminal electron transfer step in cytochrome c oxidase

Cytochrome c oxidase (cco) catalyzes the oxygen reduction reaction in most aerobically respiring organisms. Decades of research have uncovered many aspects relating to structure and function of this enzyme. However, the origin of the unusually fast terminal electron transfer step from heme a to heme a(3) in cco has been the subject of intense discussions over recent years. Yet, no satisfactory consensus has been achieved. Carrying out large-scale molecular dynamics simulation of the protein embedded in a solvated membrane, we obtain a reorganization free energy λ = 0.57 eV. Evaluation of the quantized single-mode rate equation using the experimental rate and the computed reorganization free energy gives a value of 1.5 meV for the average electronic coupling (H(ab)) between heme a and heme a(3). Thus, according to our calculations, the nanosecond electron transfer (ET) is due to a small but significant activation barrier (ΔG(‡) = 0.12 eV) in combination with effective electronic coupling between the two cofactors. The activation free energy is caused predominantly by collective reorganization of protein residues. We show that our results are consistent with the weak temperature dependence observed in experiment if one allows for very minor variations in the donor-acceptor distance as the temperature changes.

Lewis-inspired representation of dissociable water in clusters and Grotthuss chains

Proton transfer to and from water is critical to the function of water in many settings. However, it has been challenging to model. Here, we present proof-of-principle for an efficient yet robust model based on Lewis-inspired submolecular particles with interactions that deviate from Coulombic at short distances to take quantum effects into account. This "LEWIS" model provides excellent correspondence with experimental structures for water molecules and water clusters in their neutral, protonated and deprotonated forms; reasonable values for the proton affinities of water and hydroxide; a good value for the strength of the hydrogen bond in the water dimer; the correct order of magnitude for the stretch and bend force constants of water; and the expected time course for Grotthuss transport in water chains.

Glu-286 rotation and water wire reorientation are unlikely the gating elements for proton pumping in cytochrome C oxidase

One of the key unresolved issues regarding proton pumping in cytochrome c oxidase (CcO) is the identity of the gating element that prevents the backflow of protons. In this study, we analyze two popular proposals for this element: isomerization of the key branching residue (Glu-286) and (re)orientation of water molecules in the hydrophobic cavity. Using a multifaceted set of computational analyses that involve CcO embedded in either an implicit or explicit treatment of lipid membrane, we show that neither Glu-286 nor active-site water likely constitutes the gating element. Detailed energetic and structural analyses of the simulation results indicate that the gating-relevant properties of these structural motifs observed in previous work are likely a result of the simplified computational models employed in those studies.

Mechanism of proton transfer in [FeFe]-hydrogenase from Clostridium pasteurianum

[FeFe]-Hydrogenases are complex metalloproteins that catalyze the reversible reduction of protons to molecular hydrogen utilizing a unique diiron subcluster bridged to a [4Fe4S] subcluster. Extensive studies have concentrated on the nature and catalytic activity of the active site, yet relatively little information is available concerning the mechanism of proton transport that is required for this activity. Previously, structural characterization of [FeFe]-hydrogenase from Clostridium pasteurianum indicated a potential proton transport pathway involving four residues (Cys-299, Glu-279, Ser-319, and Glu-282) that connect the active site to the enzyme surface. Here, we demonstrate that substitution of any of these residues resulted in a drastic reduction in hydrogenase activity relative to the native enzyme, supporting the importance of these residues in catalysis. Inhibition studies of native and amino acid-substituted enzymes revealed that Zn(2+) specifically blocked proton transfer by binding to Glu-282, confirming the role of this residue in the identified pathway. In addition, all four of these residues are strictly conserved, suggesting that they may form a proton transport pathway that is common to all [FeFe]-hydrogenases.

Molecular basis of proton uptake in single and double mutants of cytochrome c oxidase

Cytochrome c oxidase, the terminal enzyme of the respiratory chain, utilizes the reduction of dioxygen into water to pump protons across the mitochondrial inner membrane. The principal pathway of proton uptake into the enzyme, the D channel, is a 2.5 nm long channel-like cavity named after a conserved, negatively charged aspartic acid (D) residue thought to help recruiting protons to its entrance (D132 in the first subunit of the S. sphaeroides enzyme). The single-point mutation of D132 to asparagine (N), a neutral residue, abolishes enzyme activity. Conversely, replacing conserved N139, one-third into the D channel, by D, induces a decoupled phenotype, whereby oxygen reduction proceeds but not proton pumping. Intriguingly, the double mutant D132N/N139D, which conserves the charge of the D channel, restores the wild-type phenotype. We use molecular dynamics simulations and electrostatic calculations to examine the structural and physical basis for the coupling of proton pumping and oxygen chemistry in single and double N139D mutants. The potential of mean force for the conformational isomerization of N139 and N139D side chains reveals the presence of three rotamers, one of which faces the channel entrance. This out-facing conformer is metastable in the wild-type and in the N139D single mutant, but predominant in the double mutant thanks to the loss of electrostatic repulsion with the carboxylate group of D132. The effects of mutations and conformational isomerization on the pKa of E286, an essential proton-shuttling residue located at the top of the D channel, are shown to be consistent with the electrostatic control of proton pumping proposed recently (Fadda et al 2008 Biochim. Biophys. Acta 1777 277-84). Taken together, these results suggest that preserving the spatial distribution of charges at the entrance of the D channel is necessary to guarantee both the uptake and the relay of protons to the active site of the enzyme. These findings highlight the interplay of long-range electrostatic forces and local structural fluctuations in the control of proton movement and provide a physical explanation for the restoration of proton pumping activity in the double mutant.

Exploration of the cytochrome c oxidase pathway puzzle and examination of the origin of elusive mutational effects

Gaining detailed understanding of the energetics of the proton-pumping process in cytochrome c oxidase (CcO) is a problem of great current interest. Despite promising mechanistic proposals, so far, a physically consistent model that would reproduce all the relevant barriers needed to create a working pump has not been presented. In addition, there are major problems in elucidating the origin of key mutational effects and in understanding the nature of the apparent pK(a) values associated with the pH dependencies of specific proton transfer (PT) reactions in CcO. This work takes a key step in resolving the above problems, by considering mutations, such as the Asn139Asp replacement, that blocks proton pumping without affecting PT to the catalytic site. We first introduce a formulation that makes it possible to relate the apparent pK(a) of Glu286 to different conformational states of this residue. We then use the new formulation along with the calculated pK(a) values of Glu286 at these different conformations to reproduce the experimentally observed apparent pK(a) of the residue. Next, we take the X-ray structures of the native and Asn139Asp mutant of the Paracoccus denitrificans CcO (N131D in this system) and reproduce for the first time the change in the primary PT pathways (and other key features) based on simulations that start with the observed structural changes. We also consider the competition between proton transport to the catalytic site and the pump site, as a function of the bulk pH, as well as the H/D isotope effect, and use this information to explore the relative height of the two barriers. The paper emphasizes the crucial role of energy-based considerations that include the PT process, and the delicate control of PT in CcO.

Intricate role of water in proton transport through cytochrome c oxidase

Cytochrome c oxidase (CytcO), the final electron acceptor in the respiratory chain, catalyzes the reduction of O(2) to H(2)O while simultaneously pumping protons across the inner mitochondrial or bacterial membrane to maintain a transmembrane electrochemical gradient that drives, for example, ATP synthesis. In this work mutations that were predicted to alter proton translocation and enzyme activity in preliminary computational studies are characterized with extensive experimental and computational analysis. The mutations were introduced in the D pathway, one of two proton-uptake pathways, in CytcO from Rhodobacter sphaeroides . Serine residues 200 and 201, which are hydrogen-bonded to crystallographically resolved water molecules halfway up the D pathway, were replaced by more bulky hydrophobic residues (Ser200Ile, Ser200Val/Ser201Val, and Ser200Val/Ser201Tyr) to query the effects of changing the local structure on enzyme activity as well as proton uptake, release, and intermediate transitions. In addition, the effects of these mutations on internal proton transfer were investigated by blocking proton uptake at the pathway entrance (Asp132Asn replacement in addition to the above-mentioned mutations). Even though the overall activities of all mutant CytcO's were lowered, both the Ser200Ile and Ser200Val/Ser201Val variants maintained the ability to pump protons. The lowered activities were shown to be due to slowed oxidation kinetics during the P(R) → F and F → O transitions (P(R) is the "peroxy" intermediate formed at the catalytic site upon reaction of the four-electron-reduced CytcO with O(2), F is the oxoferryl intermediate, and O is the fully oxidized CytcO). Furthermore, the P(R) → F transition is shown to be essentially pH independent up to pH 12 (i.e., the apparent pK(a) of Glu286 is increased from 9.4 by at least 3 pK(a) units) in the Ser200Val/Ser201Val mutant. Explicit simulations of proton transport in the mutated enzymes revealed that the solvation dynamics can cause intriguing energetic consequences and hence provide mechanistic insights that would never be detected in static structures or simulations of the system with fixed protonation states (i.e., lacking explicit proton transport). The results are discussed in terms of the proton-pumping mechanism of CytcO.

Secondary water pore formation for proton transport in a ClC exchanger revealed by an atomistic molecular-dynamics simulation

Several prokaryotic ClC proteins have been demonstrated to function as exchangers that transport both chloride ions and protons simultaneously in opposite directions. However, the path of the proton through the ClC exchanger, and how the protein brings about the coupled movement of both ions are still unknown. In this work, we use an atomistic molecular dynamics (MD) simulation to demonstrate that a previously unknown secondary water pore is formed inside an Escherichia coli ClC exchanger. The secondary water pore is bifurcated from the chloride ion pathway at E148. From the systematic simulations, we determined that the glutamate residue exposed to the intracellular solution, E203, plays an important role as a trigger for the formation of the secondary water pore, and that the highly conserved tyrosine residue Y445 functions as a barrier that separates the proton from the chloride ion pathways. Based on our simulation results, we conclude that protons in the ClC exchanger are conducted via a water network through the secondary water pore, and we propose a new mechanism for the coupled transport of chloride ions and protons. It has been reported that several members of ClC proteins are not just channels that simply transport chloride ions across lipid bilayers; rather, they are exchangers that transport both the chloride ion and proton in opposite directions. However, the ion transit pathways and the mechanism of the coupled movement of these two ions have not yet been unveiled. In this article, we report a new finding (to our knowledge) of a water pore inside a prokaryotic ClC protein as revealed by computer simulation. This water pore is bifurcated from the putative chloride ion, and water molecules inside the new pore connect two glutamate residues that are known to be key residues for proton transport. On the basis of our simulation results, we conclude that the water wire that is formed inside the newly found pore acts as a proton pathway, which enables us to resolve many problems that could not be addressed by previous experimental studies.

Partial steps of charge translocation in the nonpumping N139L mutant of Rhodobacter sphaeroides cytochrome c oxidase with a blocked D-channel

The N139L substitution in the D-channel of cytochrome oxidase from Rhodobacter sphaeroides results in an approximately 15-fold decrease in the turnover number and a loss of proton pumping. Time-resolved absorption and electrometric assays of the F --> O transition in the N139L mutant oxidase result in three major findings. (1) Oxidation of the reduced enzyme by O(2) shows approximately 200-fold inhibition of the F --> O step (k approximately 2 s(-1) at pH 8) which is not compatible with enzyme turnover ( approximately 30 s(-1)). Presumably, an abnormal intermediate F(deprotonated) is formed under these conditions, one proton-deficient relative to a normal F state. In contrast, the F --> O transition in N139L oxidase induced by single-electron photoreduction of intermediate F, generated by reaction of the oxidized enzyme with H(2)O(2), decelerates to an extent compatible with enzyme turnover. (2) In the N139L mutant, the protonic phase of Deltapsi generation coupled to the flash-induced F --> O transition greatly decreases in rate and magnitude and can be assigned to the movement of a proton from E286 to the binuclear site, required for reduction of heme a(3) from the Fe(4+) horizontal lineO(2-) state to the Fe(3+)-OH(-) state. Electrogenic reprotonation of E286 from the inner aqueous phase is missing from the F --> O step in the mutant. (3) In the N139L mutant, the KCN-insensitive rapid electrogenic phase may be composed of two components with lifetimes of approximately 10 and approximately 40 mus and a magnitude ratio of approximately 3:2. The 10 mus phase matches vectorial electron transfer from Cu(A) to heme a, whereas the 40 mus component is assigned to intraprotein proton displacement across approximately 20% of the membrane dielectric thickness. This proton displacement might be triggered by rotation of the charged K362 side chain coupled to heme a reduction. The two components of the rapid electrogenic phase have been resolved subsequently with other D-channel mutants as well as with cyanide-inhibited wild-type oxidase. The finding helps to reconcile the unusually high relative contribution of the microsecond electrogenic phase in the bacterial enzyme ( approximately 30%) with the net electrogenicity of the F --> O transition coupled to transmembrane transfer of two charges per electron.

Microscopic pKa analysis of Glu286 in cytochrome c oxidase (Rhodobacter sphaeroides): toward a calibrated molecular model

As stringent tests for the molecular model and computational protocol, microscopic pK(a) calculations are performed for the key residue, Glu286, in cytochrome c oxidase (CcO) using a combined quantum mechanical/molecular mechanical (QM/MM) potential and a thermodynamic integration protocol. The impact of the number of water molecules in the hydrophobic cavity and protonation state of several key residues (e.g., His334, Cu(B)-bound water, and PRD(a3)) on the computed microscopic pK(a) values of Glu286 has been systematically examined. To help evaluate the systematic errors in the QM/MM-based protocol, microscopic pK(a) calculations have also been carried out for sites in a soluble protein (Asp70 in T4 lysozyme) and a better-characterized membrane protein (Asp85 in bacteriorhodopsin). Overall, the results show a significant degree of internal consistency and reproducibility that support the effectiveness of the computational framework. Although the number of water molecules in the hydrophobic cavity does not greatly influence the computed pK(a) of Glu286, the protonation states of several residues, some of which are rather far away, have more significant impacts. Adopting the standard protonation state for all titratable residues leaves a large net charge on the system and a significantly elevated pK(a) for Glu286, highlighting that any attempt to address the energetics of proton transfers in CcO at a microscopic level should carefully select the protonation state of residues, even those not in the immediate neighborhood of the active site. The calculations indirectly argue against the deprotonation of His334 for the proton pumping process, although further studies that explicitly compute its pK(a) are required for a more conclusive statement. Finally, the deprotonated Glu286 is found to be in a stable water-mediated connection with PRD(a3) for at least several nanoseconds when this presumed pumping site is protonated. This does not support the proposed role of Glu286 as a robust gating valve that prevents proton leakage, although a conclusive statement awaits a more elaborate characterization of the Glu286-PRD(a3) connectivity with free energy simulations and a protonated PRD(a3). The large sets of microscopic simulations performed here have provided useful guidance to the establishment of a meaningful molecular model and effective computational protocol for explicitly analyzing the proton transfer kinetics in CcO, which is required for answering key questions regarding the pumping function of this fascinating and complex system.

Quantum-chemical calculations of a long proton wire. Application of a harmonic model to analysis of the structure of an ionic defect in a water chain with an excess proton

Quantum-chemical calculations of molecular complexes (NH(3))(3)Zn(2+)...(H(2)O)(n)...NH(3) (C(n), n = 11, 16, 21, and 30) simulating a proton wire donor-water chain-acceptor were carried out. Earlier found periodicity in the length of the O-H bonds in water chain is explained within the framework of a one-component harmonic model. In complexes C(n), the geometry and electronic structure of ionic defect in water chain with an excess proton were studied. Calculations carried out at ab initio (B3LYP/6-31+G**) and semiempirical (PM3) levels of theory predict different patterns of distribution of the O-H bonds lengths and positive charge on the H-bond hydrogen atoms in the region of ionic defect. The obtained data show how a length of water chain and position of a protonated water link in the chain influence the ionic defect structure. To describe the observed structures of ionic defect, the harmonic model was used and the role of parameters of the H-bonded chain was investigated. The performed analysis explains different mechanisms (concerted and stepwise) of proton transfer along the H-bonded chain derived from ab initio and semiempirical calculation schemes.

A pathogenic mutation in cytochrome c oxidase results in impaired proton pumping while retaining O(2)-reduction activity

In this work we have investigated the effect of a pathogenic mitochondrial DNA mutation found in human colon cells, at a functional-molecular level. The mutation results in the amino-acid substitution Tyr19His in subunit I of the human CytcO and it is associated with respiratory deficiency. It was introduced into Rhodobacter sphaeroides, which carries a cytochrome c oxidase (cytochrome aa(3)) that serves as a model of the mitochondrial counterpart. The residue is situated in the middle of a pathway that is used to transfer substrate protons as well as protons that are pumped across the membrane. The Tyr33His (equivalent residue in the bacterial CytcO) structural variant of the enzyme was purified and its function was investigated. The results show that in the structurally altered CytcO the activity decreased due to slowed proton transfer; proton transfer from an internal proton donor, the highly-conserved Glu286, to the catalytic site was slowed by a factor of approximately 5, while reprotonation of the Glu from solution was slowed by a factor of approximately 40. In addition, in the structural variant proton pumping was completely impaired. These results are explained in terms of introduction of a barrier for proton transfer through the D pathway and changes in the coordination of water molecules surrounding the Glu286 residue. The study offers an explanation, at the molecular level, to the link between a specific amino-acid substitution and a pathogenic phenotype identified in human colon cells.

Functional hydration and conformational gating of proton uptake in cytochrome c oxidase

Cytochrome c oxidase couples the reduction of dioxygen to proton pumping against an electrochemical gradient. The D-channel, a 25-A-long cavity, provides the principal pathway for the uptake of chemical and pumped protons. A water chain is thought to mediate the relay of protons via a Grotthuss mechanism through the D-channel, but it is interrupted at N139 in all available crystallographic structures. We use free-energy simulations to examine the proton uptake pathway in the wild type and in single-point mutants N139V and N139A, in which redox and pumping activities are compromised. We present a general approach for the calculation of water occupancy in protein cavities and demonstrate that combining efficient sampling algorithms with long simulation times (hundreds of nanoseconds) is required to achieve statistical convergence of equilibrium properties in the protein interior. The relative population of different conformational and hydration states of the D-channel is characterized. Results shed light on the role of N139 in the mechanism of proton uptake and clarify the physical basis for inactive phenotypes. The conformational isomerization of the N139 side chain is shown to act as a gate controlling the formation of a functional water chain or "proton wire." In the closed state of N139, the spatial distribution of water in the D-channel is consistent with available crystallographic models. However, a metastable state of N139 opens up a narrow bottleneck in which 50% occupancy by a water molecule establishes a proton pathway throughout the D-channel. Results for N139V suggest that blockage of proton uptake resulting from persistent interruption of the water pathway is the cause of this mutant's marginal oxidase activity. In contrast, results for N139A indicate that the D-channel is a continuously hydrated cavity, implying that the decoupling of oxidase activity from proton pumping measured in this mutant is not due to interruption of the proton relay chain.

Uncovering channels in photosystem II by computer modelling: current progress, future prospects, and lessons from analogous systems

Even prior to the publication of the crystal structures for photosystem II (PSII), it had already been suggested that water, O(2) and H(+) channels exist in PSII to achieve directed transport of these molecules, and to avoid undesirable side reactions. Computational efforts to uncover these channels and investigate their properties are still at early stages, and have so far only been based on the static PSII structure. The rationale behind the proposals for such channels and the computer modelling studies thus far are reviewed here. The need to take the dynamic protein into account is then highlighted with reference to the specific issues and techniques applicable to the simulation of each of the three channels. In particular, lessons are drawn from simulation studies on other protein systems containing similar channels.

A theoretical study on the detection of proton transfer pathways in some mutants of human carbonic anhydrase II

Structural and kinetic studies of mutants can give much insight into the function of an enzyme. We report the detection of possible proton transfer pathways into the active site of a number of mutants of the enzyme human carbonic anhydrase II (HCA II). Using a recently developed method of path search in the protein conformational space, we identify hydrogen-bonded networks (or proton paths) that can dynamically connect the protein surface to the active site through fluctuations in protein structure and hydration. The feasibility of establishing such dynamical connectivities is assessed by computing the change in free energy of conformational fluctuations and compared to those identified earlier in the wild type enzyme. It is found that the point mutation facilitates or suppresses one or more of the alternative pathways. Our results allow the use of a generic set of pathways to correlate qualitatively the residual activity in the mutants to the molecular mechanism of proton transfer in the absence of His at position 64. We also demonstrate how the detected pathways may be used to compare the efficiencies of the mutants His-64-Ala/Asn-62-His and His-64-Ala/Asn-67-His using the empirical valence bond theory.

Electrostatic basis for the unidirectionality of the primary proton transfer in cytochrome c oxidase

Gaining detailed understanding of the energetics of the proton-pumping process in cytochrome c oxidase (CcO) is one of the challenges of modern biophysics. Despite promising mechanistic proposals, most works have not related the activation barriers of the different assumed steps to the protein structure, and there has not been a physically consistent model that reproduced the barriers needed to create a working pump. This work reevaluates the activation barriers for the primary proton transfer (PT) steps by calculations that reflect all relevant free energy contributions, including the electrostatic energies of the generated charges, the energies of water insertion, and large structural rearrangements of the donor and acceptor. The calculations have reproduced barriers that account for the directionality and sequence of events in the primary PT in CcO. It has also been found that the PT from Glu-286 (E) to the propionate of heme a(3) (Prd) provides a gate for an initial back leakage from the high pH side of the membrane. Interestingly, the rotation of E that brings it closer to Prd appears to provide a way for blocking competing pathways in the primary PT. Our study elucidates and quantifies the nature of the control of the directionality in the primary PT in CcO and provides instructive insight into the role of the water molecules in biological PT, showing that "bridges" of several water molecules in hydrophobic regions present a problem (rather than a solution) that is minimized in the primary PT.

Impaired proton pumping in cytochrome c oxidase upon structural alteration of the D pathway

Cytochrome c oxidase is a membrane-bound enzyme, which catalyses the one-electron oxidation of four molecules of cytochrome c and the four-electron reduction of O(2) to water. Electron transfer through the enzyme is coupled to proton pumping across the membrane. Protons that are pumped as well as those that are used for O(2) reduction are transferred though a specific intraprotein (D) pathway. Results from earlier studies have shown that replacement of residue Asn139 by an Asp, at the beginning of the D pathway, results in blocking proton pumping without slowing uptake of substrate protons used for O(2) reduction. Furthermore, introduction of the acidic residue results in an increase of the apparent pK(a) of E286, an internal proton donor to the catalytic site, from 9.4 to ~11. In this study we have investigated intramolecular electron and proton transfer in a mutant cytochrome c oxidase in which a neutral residue, Thr, was introduced at the 139 site. The mutation results in uncoupling of proton pumping from O(2) reduction, but a decrease in the apparent pK(a) of E286 from 9.4 to 7.6. The data provide insights into the mechanism by which cytochrome c oxidase pumps protons and the structural elements involved in this process.

Biasing the center of charge in molecular dynamics simulations with empirical valence bond models: free energetics of an excess proton in a water droplet

Multistate empirical valence bond (EVB) models provide an accurate description of the energetics of proton transfer and solvation in complex molecular systems and can be efficiently used in molecular dynamics computer simulations. Within such models, the location of the moving protonic charge can be specified by the so-called center of charge, defined as a weighted average over the diabatic states of the EVB model. In this paper, we use first-order perturbation theory to calculate the molecular forces that arise if a bias potential is applied to the center of charge. Such bias potentials are often necessary when molecular dynamics simulations are used to determine free energies related to proton transfer and not all relevant proton positions are sampled with sufficient frequency during the available computing time. The force expressions we derive are easy to evaluate and do not create any significant computational cost compared with unbiased EVB simulations. As an illustration of the method, we study proton transfer in a small liquid water droplet consisting of 128 water molecules plus an excess proton. Contrary to predictions of continuum electrostatics, but in agreement with previous computer simulations of similar systems, we observe that the excess proton is predominantly located at the surface of the droplet. Using the formalism developed in this paper, we calculate the reversible work required to carry the protonic charge from the droplet surface to its core, finding a value of roughly 4 k(B)T.

Crystallographic study of hydration of an internal cavity in engineered proteins with buried polar or ionizable groups

Although internal water molecules are essential for the structure and function of many proteins, the structural and physical factors that govern internal hydration are poorly understood. We have examined the molecular determinants of internal hydration systematically, by solving the crystal structures of variants of staphylococcal nuclease with Gln-66, Asn-66, and Tyr-66 at cryo (100 K) and room (298 K) temperatures, and comparing them with existing cryo and room temperature structures of variants with Glu-66, Asp-66, Lys-66, Glu-92 or Lys-92 obtained under conditions of pH where the internal ionizable groups are in the neutral state. At cryogenic temperatures the polar moieties of all these internal side chains are hydrated except in the cases of Lys-66 and Lys-92. At room temperature the internal water molecules were observed only in variants with Glu-66 and Tyr-66; water molecules in the other variants are probably present but they are disordered and therefore undetectable crystallographically. Each internal water molecule establishes between 3 and 5 hydrogen bonds with the protein or with other internal water molecules. The strength of interactions between internal polar side chains and water molecules seems to decrease from carboxylic acids to amides to amines. Low temperature, low cavity volume, and the presence of oxygen atoms in the cavity increase the positional stability of internal water molecules. This set of structures and the physical insight they contribute into internal hydration will be useful for the development and benchmarking of computational methods for artificial hydration of pockets, cavities, and active sites in proteins.

Redox-coupled proton pumping in cytochrome c oxidase: further insights from computer simulation

The membrane-bound enzyme cytochrome c oxidase, the terminal member in the respiratory chain, converts oxygen into water and generates an electrochemical gradient by coupling the electron transfer to proton pumping across the membrane. Here we have investigated the dynamics of an excess proton and the surrounding protein environment near the active sites. The multi-state empirical valence bond (MS-EVB) molecular dynamics method was used to simulate the explicit dynamics of proton transfer through the critically important hydrophobic channel between Glu242 (bovine notation) and the D-propionate of heme a3 (PRDa3) for the first time. The results from these molecular dynamics simulations indicate that the PRDa3 can indeed re-orientate and dissociate from Arg438, despite the high stability of such an ion pair, and has the ability to accept protons via bound water molecules. Any large conformational change of the adjacent heme a D-propionate group is, however, sterically blocked directly by the protein. Free energy calculations of the PRDa3 side chain isomerization and the proton translocation between Glu242 and the PRDa3 site have also been performed. The results exhibit a redox state-dependent dynamical behavior and indicate that reduction of the low-spin heme a may initiate internal transfer of the pumped proton from Glu242 to the PRDa3 site.