Energy-linked transhydrogenase. Effects of valinomycin and nigericin on the ATP-driven transhydrogenase reaction catalyzed by reconstituted transhydrogenase-ATPase vesicles

Reconstituted transhydrogenase-ATPase vesicles obtained with purified beef heart transhydrogenase and oligomycin-sensitive ATPase were investigated with respect to the mode of interaction between the two proton pumps, with special reference to the relative contributions of the membrane potential and proton gradient using valinomycin and nigericin in the presence of potassium. In the absence of ionophores and at low ATP concentrations, below 20 microM, the ATPase generated a proton motive force which was predominantly due to a membrane potential, whereas at saturating concentrations of ATP the proton gradient was the predominant component. The ATP-dependence of the rate of the ATP-driven transhydrogenase reaction showed apparent Km values in the low and high ATP concentration range of about 3 and 56 microM, respectively, with a corresponding difference in Vmax of about 3-fold. It is concluded that the reconstituted transhydrogenase can utilize both a membrane potential and a proton gradient, separately or combined, where the relative contributions of these components depend on the activity of the ATPase. In the reconstituted vesicles, the maximally active transhydrogenase is apparently driven by an electrochemical proton gradient where the membrane potential and the proton gradient contribute one-third and two-thirds, respectively. The rate-dependent relative generation of a membrane potential and pH gradient presumably reflects the proton pump characteristics of the ATPase and/or buffering/permeability characteristics of the vesicles rather than the properties of the transhydrogenase per se. These results are discussed in relation to current models for transhydrogenase-linked proton translocation.     

Purification and properties of reconstitutively active nicotinamide nucleotide transhydrogenase of Escherichia coli

The nicotinamide nucleotide transhydrogenase of Escherichia coli has been purified from cytoplasmic membranes by pre-extraction of the membranes with sodium cholate and Triton X-100, solubilization of the enzyme with sodium deoxycholate in the presence of 1 M potassium chloride, and centrifugation through a 1.1 M sucrose solution. The purified enzyme consists of two subunits, alpha and beta, of apparent Mr 50000 and 47000. During transhydrogenation between NADPH and 3-acetylpyridine adenine dinucleotide by both the purified enzyme reconstituted into liposomes and the membrane-bound enzyme, a pH gradient is established across the membrane as indicated by the quenching of the fluorescence of 9-aminoacridine. Treatment of transhydrogenase with N,N'-dicyclohexylcarbodiimide results in an inhibition of proton pump activity and transhydrogenation, suggesting that proton translocation and catalytic activities are obligatory linked. NADH protected the enzyme against inhibition by N,N'-dicyclohexylcarbodiimide, while NADP, and to a lesser extent NADPH, appeared to increase the rate of inhibition. [14C]Dicyclohexylcarbodiimide preferentially labelled the 50000-Mr subunit of the transhydrogenase enzyme. The presence of an allosteric binding site which reacts with NADH, but not with reduced 3-acetylpyridine adenine dinucleotide, has been demonstrated.     

Resolution and reconstitution of mitochondrial nicotinamide nucleotide transhydrogenase.

Nicotinamide nucleotide transhydrogenase from bovine heart mitochondria was solubilized with cholate and partially purified by ammoniumsulphate fractionation and density gradient centrifugation. Compared to submitochondrial particles this preparation contained less than 10% of oligomycin-sensitive ATPase and cytochromes. When reconstituted with purified mitochondrial phosphatidylcholine, the enzyme catalyzed a reduction of NAD⁺ by NADPH that was stimulated by uncouplers and which showed a concomitent uncoupler-sensitive uptake of the lipophilic anion tetraphenylboron, indicating the generation of a membrane potential. It is concluded that transhydrogenase can energize the vesicles directly without the intervention of ATPase or cytochromes.     

Modification of bovine heart mitochondrial transhydrogenase with tetranitromethane

Modification of pyridine dinucleotide transhydrogenase with tetranitromethane resulted in inhibition of its activity. Development of a membrane potential in submitochondrial particles during the reduction of 3-acetylpyridine adenine dinucleotide (AcPyAD⁺) by NADPH decreased to nearly the same extent as the transhydrogenase rate on tetranitromethane treatment of the membrane. Kinetics of the inactivation of homogeneous transhydrogenase and the enzyme reconstituted into phosphatidylcholine liposomes indicate that a single essential residue was modified per active monomer. NADP⁺, NADPH and NADH gave substantial protection against tetranitromethane inactivation of both the nonenergy-linked and energy-linked transhydrogenase reactions of submitochondrial particles and the NADPH → AcPyAD⁺ reaction of reconstituted enzyme. NAD⁺ had no effect on inactivation. Tetranitromethane modification of reconstituted transhydrogenase resulted in a decrease in the rate of coupled H⁺ translocation that was comparable to the decrease in the rate of NADPH → AcPyAD⁺ transhydrogenation. It is concluded that tetranitromethane modification controls the H⁺ translocation process solely through its effect on catalytic activity, rather than through alteration of a separate H⁺-binding domain. Nitrotyrosine was not found in tetranitromethane-treated transhydrogenase. Both 5,5′-dithiobis(2-nitrobenzoate)-accessible and buried sulfhydryl groups were modified with tetranitromethane. NADH and NADPH prevented sulfhydryl reactivity toward tetranitromethane. These data indicate that the inhibition seen with tetranitromethane results from the modification of a cysteine residue.     

Adenosine 5''-triphosphate-linked transhydrogenase in cytoplasmic membranes of colicin-treated and untreated Escherichia coli.

The adenosine 5'-triphosphate (ATP)-linked transhydrogenase reaction, present in the particulate fractions of Escherichia coli, was previously shown to be inhibited in these fractions when the bacteria were treated with colicins K or El. The purpose of this study was to characterized the ATP-linked transhydrogenase reaction and the colicin-caused inhibition of the reaction in purified cytoplasmic membranes. Particulate fractions from bacteria treated or untreated with colicins were separated on sucrose gradients into cell wall membrane and cytoplasmic membrane fractions. The ATP-linked transhydrogenase reaction was found to be exclusively associated with the cytoplasmic membrane fractions. The reaction was inhibited by carbonylcyanide m-chlorophenlhdrazone, dinitrophenol, N,N'-dicyclohexylcarbodiimide, and trypsin. Although the cytoplasmic membrane fractions were purified from the majoriy of the cell wall membrane and its bound colicins, they showed the inhibitory effects of colicins K and El on the ATP-linked transhydrogenase reaction. The inhibition of ATP-linked transhydrogenase reaction induced by the colicin could not be reversed by subjection the isolated membranes to a variety of physical and chemical treatments. Cytoplasmic membranes depleted of energy-transducing adenosine triphosphatase ATPase) complex (coupling factor) lost the ATP-linked transhydrogenase activity. The ATPase complexes isolated from membranes of bacteria treated or untreated with colicins El or K reconstituted high levels of ATP-linded transhydrogenase activity to depleted membranes of untreated bacteria. The same ATPase complexes reconstituted low levels of activity to depleted membranes of the treated bacteria.     

Properties of a proton-translocating nicotinamide nucleotide transhydrogenase from Escherichia coli with alpha and beta subunits linked through fused transmembrane helices.

Proton-translocating nicotinamide nucleotide transhydrogenase from Escherichia coli is composed of an alpha and a beta subunit, whereas the homologues mitochondrial enzyme contains a single polypeptide. As compared to the latter transhydrogenase, using a 14-helix model for its membrane topology, the point of fusion is between the transmembrane helices 4 and 6 where the fusion linker provides the extra transmembrane helix 5. In order to clarify the potential role of this extra helix/linker, the alpha and the beta subunits were fused using three connecting peptides of different lengths, one (pAX9) involving essentially a direct coupling, a second (pKM) with a linking peptide of 18 residues, and a third (pKMII) with a linking peptide of 32 residues, as compared to the mitochondrial extra peptide of 27 residues. The results demonstrate that the plasma membrane-bound and purified pAX9 enzyme with the short linker was partly misfolded and strongly inhibited with regard to both catalytic activities and proton translocation, whereas the properties of pKM and pKMII with longer linkers were similar to those of wild-type E. coli transhydrogenase but partly different from those of the mitochondrial enzyme although pKMII generally gave higher activities. It is concluded that a mitochondrial-like linking peptide is required for proper folding and activity of the E. coli fused transhydrogenase, and that differences between the catalytic properties of the E. coli and the mitochondrial enzymes are unrelated to the linking peptide. This is the first time that larger subunits of a membrane protein with multiple transmembrane helices have been fused with retained activity.     

Energy-linked nicotinamide nucleotide transhydrogenase: hydrodynamic properties and active form of purified and membrane-bound mitochondrial transhydrogenase from beef heart

The mitochondrial nicotinamide nucleotide transhydrogenase from beef heart was investigated with respect to minimal assembly of the purified enzyme and of the enzyme in the mitochondrial inner membrane. Studies of the hydrodynamic properties of the purified enzyme in the presence of 0.3% Triton X-100 allowed determination of the Stokes radius, sedimentation constant, partial specific volume, frictional ratio, and molecular weight. Under these conditions transhydrogenase existed as an inactive monomer, suggesting that monomerization may be accompanied by inactivation. Radiation inactivation was used to determine the functional molecular size of purified detergent-dispersed transhydrogenase and transhydrogenase in beef heart submitochondrial particles. Under these conditions the catalytic activity of both the purified and the membrane-bound enzyme was found to be catalyzed by a dimeric form of the enzyme. These results suggest for the first time that the minimal functional assembly of detergent-dispersed as well as membrane-bound transhydrogenase is a dimer, which is not functionally associated with, for example, complex I or ATPase. In addition, the results are consistent with the possibility that the two subunits of transhydrogenase are catalytically active in an alternating fashion according to a previously proposed half-of-the-sites reactivity model.     

Evidence for a role of a vicinal dithiol in catalysis and proton pumping in mitochondrial nicotinamide nucleotide transhydrogenase

The effect of glutathione, glutathione disulfide and the dithiol reagent phenylarsine oxide on purified soluble as well as reconstituted mitochondrial nicotinamide nucleotide transhydrogenase from beef heart was investigated. Glutathione disulfide and phenylarsine oxide caused an inhibition of transhydrogenase, the extent of which was dependent on the presence of either of the transhydrogenase substrates. In the absence of NADPH glutathione protected partially against inactivation by glutathione disulfide and phenylarsine oxide. In the presence of NADPH glutathione also inhibited transhydrogenase. Reconstituted transhydrogenase vesicles behaved differently as compared to the soluble transhydrogenase and was partially uncoupled by GSSG. It is concluded that transhydrogenase contains a dithiol that is essential for catalysis as well as for proton translocation.     

Mitochondrial energy-transducing nicotinamide nucleotide transhydrogenase. Purification and properties of the proteinase K-bisected enzyme.

The mitochondrial proton-translocating nicotinamide nucleotide transhydrogenase is embedded in the inner membrane as a homodimer of monomer Mr = 109,288. Its N-terminal 430 residues and C-terminal 200 residues protrude into the matrix, whereas its central 400 residues appear to intercalate into the inner membrane as 14 hydrophobic clusters of about 20 residues each (Yamaguchi, M., and Hatefi, Y. (1991) J. Biol. Chem. 266, 5728-5735). Treatment of mitoplasts (mitochondria denuded of outer membrane) with several proteolytic enzymes cleaves the transhydrogenase into a 72-kDa N-terminal and a 37-kDa C-terminal fragment. The cleavage site of proteinase K was determined to be Ala690-Ala691, which is located in a small loop of the transhydrogenase exposed on the cytosolic side of the inner membrane. This paper shows that the bisected transhydrogenase can be purified from proteinase K-treated mitoplasts with retention of greater than or equal to 85% transhydrogenase activity. The inactivation rate of the bisected enzyme by trypsin and N-ethylmaleimide was altered in the presence of NADP and NADPH, suggesting substrate-induced conformation changes similar to those reported previously for the intact transhydrogenase. Also, like the intact enzyme, proteoliposomes of the bisected transhydrogenase were capable of membrane potential formation and internal acidification coupled to NADPH----NAD transhydrogenation. The properties of the bisected transhydrogenase have been discussed in relation to those of the two-subunit Escherichia coli transhydrogenase, the bisected lac permease (via gene restriction), and the fragmented and reconstituted bacteriorhodopsin.     

Proton translocation by transhydrogenase

Transhydrogenase, in animal mitochondria and bacteria, couples hydride transfer between NADH and NADP(+) to proton translocation across a membrane. Within the protein, the redox reaction occurs at some distance from the proton translocation pathway and coupling is achieved through conformational changes. In an 'open' conformation of transhydrogenase, in which substrate nucleotides bind and product nucleotides dissociate, the dihydronicotinamide and nicotinamide rings are held apart to block hydride transfer; in an 'occluded' conformation, they are moved into apposition to permit the redox chemistry. In the two monomers of transhydrogenase, there is a reciprocating, out-of-phase alternation of these conformations during turnover.     

X-ray structure of domain I of the proton-pumping membrane protein transhydrogenase from Escherichia coli

The dimeric integral membrane protein nicotinamide nucleotide transhydrogenase is required for cellular regeneration of NADPH in mitochondria and prokaryotes, for detoxification and biosynthesis purposes. Under physiological conditions, transhydrogenase couples the reversible reduction of NADP+ by NADH to an inward proton translocation across the membrane. Here, we present crystal structures of the NAD(H)-binding domain I of transhydrogenase from Escherichia coli, in the absence as well as in the presence of oxidized and reduced substrate. The structures were determined at 1.9-2.0 A resolution. Overall, the structures are highly similar to the crystal structure of a previously published NAD(H)-binding domain, from Rhodospirillum rubrum transhydrogenase. However, this particular domain is unique, since it is covalently connected to the integral-membrane part of transhydrogenase. Comparative studies between the structures of the two species reveal extensively differing surface properties and point to the possible importance of a rigid peptide (PAPP) in the connecting linker for conformational coupling. Further, the kinetic analysis of a deletion mutant, from which the protruding beta-hairpin was removed, indicates that this structural element is important for catalytic activity, but not for domain I:domain III interaction or dimer formation. Taken together, these results have important implications for the enzyme mechanism of the large group of transhydrogenases, including mammalian enzymes, which contain a connecting linker between domains I and II.     

Biosynthesis of rat liver transhydrogenase in vivo and in vitro

The biosynthesis of pyridine dinucleotide transhydrogenase, a homodimeric inner mitochondrial membrane redox-linked proton pump, has been studied in isolated rat hepatocytes. Newly synthesized transhydrogenase, having an apparent molecular weight identical to the enzyme of isolated liver mitochondria, was selectively immunoprecipitated from detergent extracts of isolated hepatocytes which were labeled with [35S]methionine. That the enzyme is a nuclear gene product is indicated since 1) synthesis was inhibited by cycloheximide, but not by chloramphenicol and 2) no synthesis could be demonstrated in hepatocyte ghosts which are competent only in mitochondrial translation. In addition to the mature form of the enzyme, a species about 2000 daltons larger was also immunoprecipitated from pulse-labeled cells. The half-life of the larger form during a subsequent chase at 37 degrees C was about 2 min, whereas the mature form was not degraded. The relationship between the two forms of the enzyme was established by in vitro studies. A protein approximately 2000 daltons larger than mature transhydrogenase was immunoisolated from a rabbit reticulocyte lysate system programmed with sucrose gradient fractionated rat liver mRNA. This protein was converted to a species having the same size as mature enzyme after incubation with either intact rat liver mitochondria or a soluble matrix fraction derived from mitoplasts. These studies indicate that transhydrogenase is synthesized in the cytoplasm as a higher molecular weight precursor which is post-translationally processed to the mature protein by a soluble matrix protease during or after membrane insertion.     

The crystal structure of an asymmetric complex of the two nucleotide binding components of proton-translocating transhydrogenase

BACKGROUND: Membrane-bound ion translocators have important functions in biology, but their mechanisms of action are often poorly understood. Transhydrogenase, found in animal mitochondria and bacteria, links the redox reaction between NAD(H) and NADP(H) to proton translocation across a membrane. Linkage is achieved through changes in protein conformation at the nucleotide binding sites. The redox reaction takes place between two protein components located on the membrane surface: dI, which binds NAD(H), and dIII, which binds NADP(H). A third component, dII, provides a proton channel through the membrane. Intact membrane-located transhydrogenase is probably a dimer (two copies each of dI, dII, and dIII). RESULTS: We have solved the high-resolution crystal structure of a dI:dIII complex of transhydrogenase from Rhodospirillum rubrum-the first from a transhydrogenase of any species. It is a heterotrimer, having two polypeptides of dI and one of dIII. The dI polypeptides fold into a dimer. The loop on dIII, which binds the nicotinamide ring of NADP(H), is inserted into the NAD(H) binding cleft of one of the dI polypeptides. The cleft of the other dI is not occupied by a corresponding dIII component. CONCLUSIONS: The redox step in the transhydrogenase reaction is readily visualized; the NC4 atoms of the nicotinamide rings of the bound nucleotides are brought together to facilitate direct hydride transfer with A-B stereochemistry. The asymmetry of the dI:dIII complex suggests that in the intact enzyme there is an alternation of conformation at the catalytic sites associated with changes in nucleotide binding during proton translocation.     

Substitution of tyrosine 146 in the dI component of proton-translocating transhydrogenase leads to reversible dissociation of the active dimer into inactive monomers

Transhydrogenase couples the redox reaction between NADH and NADP+ to proton translocation across a membrane. The protein has three components: dI binds NADH, dIII binds NADP+, and dII spans the membrane. Transhydrogenase is a "dimer" of two dI-dII-dIII "monomers"; x-ray structures suggested that the two catalytic sites alternate during turnover. Invariant Tyr146 in recombinant dI of Rhodospirillum rubrum transhydrogenase was substituted with Phe and Ala (proteins designated dI.Y146F and dI.Y146A, respectively). Analytical ultracentrifuge experiments and differential scanning calorimetry show that dI.Y146A more readily dissociates into monomers than wild-type dI. Analytical ultracentrifuge and Trp fluorescence experiments indicate that the dI.Y146A monomers bind NADH much more weakly than dimers. Wild-type dI and dI.Y146F reconstituted activity to dI-depleted membranes with similar characteristics. However, dI.Y146A reconstituted activity in its dimeric form but not in its monomeric form, this despite monomers retaining their native fold and binding to the dI-depleted membranes. It is suggested that transhydrogenase reconstructed with monomers of dI.Y146A is catalytically compromised, at least partly as a consequence of the lowered affinity for NADH, and this results from lost interactions between the nucleotide binding site and the protein beta-hairpin upon dissociation of the dI dimer. The importance of these interactions and their coupling to dI domain rotation in the mechanism of action of transhydrogenase is emphasized. Two peaks in the 1H NMR spectrum of wild-type dI are broadened in dI.Y146A and are tentatively assigned to S-methyl groups of Met resonances in the beta-hairpin, consistent with the segmental mobility of this feature in the structure.     

Resolution and reconstitution of Rhodospirillum rubrum pyridine dinucleotide transhydrogenase. Proteolytic and thermal inactivation of the membrane component.

Pyridine dinucleotide transhydrogenase of the Rhodospirillum rubrum chromatophore membrane was readily resolved by a washing procedure into two inactive components, a soluble transhydrogenase factor protein and an insoluble membrane-bound factor. Transhydrogenation was reconstituted on reassociation of these components. The capacity of the membrane factor to reconstitute enzymatic activity was lost after proteolysis of soluble transhydrogenase factor-depleted membranes with trypsin. NADP+ or NADPH, but neither NAD+ nor NADH, stimulated by several fold the rate of trypsin-dependent inactivation of the membrane factor. Substantial protection of the membrane factor from proteolytic inactivation was observed in the presence of Mg2+ ions, an inhibitor of transhydrogenation, or when the soluble transhydrogenase factor was bound to the membrane. Coincident with the loss of enzymatic reconstitutive capacity of the membrane factor was a loss in the ability of the membranes to bind the soluble transhydrogenase factor in a stable complex. The membrane component was inactivated by preincubating soluble transhydrogenase factor-depleted membranes at temperatures above 45 degrees. NADP+, NADPH, or Mg2+ ions, but neither NAD+ nor NADH, protected against inactivation. These studies indicate that (a) the binding of NADP+ or NADPH to the membrane factor promotes a conformational alteration in the protein such that its themostability and susceptibility to proteolysis are increased, and (b) the inhibitory Mg2+ ion-binding site resides in the membrane component.     

Resolution and reconstitution of Rhodospirillum rubrum pyridine dinucleotide transhydrogenase

The Rhodospirillum rubrum pyridine dinucleotide transhydrogenase system is comprised of a membrane-bound component and an easily dissociable soluble factor. Active transhydrogenase complex was solubilized by extraction of chromatophores with lysolecithin. The membrane component was also extracted from membranes depleted of soluble factor. The solubilized membrane component reconstituted transhydrogenase activity upon addition of soluble factor. Various other ionic and non-ionic detergents, including Triton X-100, Lubrol WX, deoxycholate, and digitonin, were ineffectual for solubilization and/or inhibited the enzyme at higher concentrations. The solubilized membrane component was significantly less thermal stable than the membrane-bound component. None of the pyridine dinucleotide substrate affected the thermostability of the solubilized membrane-bound component, whereas NADP⁺ and NADPH afforded protection to membrane-bound component. NADPH stimulated trypsin inactivation of membrane-bound component to a greater extent than NADP⁺, but inactivation of solubilized membrane component was stimulated to the same extent by both pyridine dinucleotides. The solubilized membrane component appears to have a slightly higher affinity for soluble factor than does the membrane-bound component.Abbreviations AcPyAD⁺ oxidized 3-acetylpyridine adenine dinucleotide - BChl bacteriochlorophyll - C_T-particles chromatophores depleted of soluble transhydrogenase factor and devoid of transhydrogenase activity This work was supported by Grant GM 22070 from the National Institutes of Health, United States Public Health Service. Paper I of this series is R. R. Fisher et al. (1975)     

Evidence for a lipid dependence of mitochondrial nicotinamide nucleotide transhydrogenase

1. The lipid dependence of mitochondrial nicotinamide nucleotide transhydrogenase from beef heart was investigated. With submitochondrial particles digestion of phospholipids by phospholipases A and C led to a partial inhibition that could not be readily reversed by phospholipids.

2. Extraction of neutral lipids including ubiquinone from lyophilized submitochondrial particles with pentane did not inhibit the transhydrogenase, whereas further extraction with water/acetone led to a complete and apparently irreversible inhibition.

3. A partially purified preparation of transhydrogenase, depleted of lipids (and inactivated) by treatment with cholate and ammonium sulphate, was reactivated by various purified phospholipids but not by detergents or triacylglycerols.

4. It is concluded that mitochondrial transhydrogenase, catalyzing the non-energy-linked transhydrogenase reaction, requires phospholipids specifically for its catalytic activity and not as dispersing agents. A mixture of phospholipids appears to fulfill this requirement better than the individual phospholipids.     

The subunit structure of bovine heart mitochondrial transhydrogenase

Reaction of purified bovine heart transhydrogenase with bifunctional cross-linking reagents dimethyl adipimidate, dimethyl pimelimidate, dimethyl suberimidate, and dithiobis(succinimidyl propionate) results in the appearance of a dimer band on sodium dodecyl sulfate polyacrylamide gels with no higher oligomers formed. Treatment of the enzyme with 6 M urea led to inactivation and prevented cross-linking by dimethyl suberimidate. Transhydrogenase reconstituted into phosphatidylcholine proteoliposomes also yielded a dimer band on cross-linking. These data indicate that soluble and functionally reconstituted transhydrogenase possesses a dimeric structure.     

Energy-linked nicotinamide-nucleotide transhydrogenase. Characterization of reconstituted ATP-driven transhydrogenase from beef heart mitochondria

The interaction between pure transhydrogenase and ATPase (Complex V) from beef heart mitochondria was investigated with transhydrogenase-ATPase vesicles in which the two proteins were co-reconstituted by dialysis or dilution procedures. In addition to phosphatidylcholine and phosphatidylethanolamine, reconstitution required phosphatidylserine and lysophosphatidylcholine. Transhydrogenase-ATPase vesicles catalyzed a 20-30-fold stimulation of the reduction of NADP+ or thio-NADP+ by NADH and a 70-fold shift of the apparent equilibrium expressed as the nicotinamide nucleotide ratio [NADPH][NAD+]/[NADP+][NADH]. In both of these respects, the transhydrogenase-ATPase vesicles were severalfold more efficient than beef heart submitochondrial particles. By measuring the ATP-driven transhydrogenase and the oligomycin-sensitive ATPase activities simultaneously and under the same conditions at low ATP concentrations, i.e. below 15 microM, the ATP-driven transhydrogenase/oligomycin-sensitive ATPase activity ratio was found to be about 3. This value is consistent with the stoichiometries of three protons translocated per ATP hydrolyzed and one proton translocated per NADPH formed and with a mechanism where the two enzymes interact through a delocalized proton-motive force.