The relationship between the rate of respiration and the protonmotive force. The role of proton conductivity.

It is shown by titrating a suspension of rat liver mitochondria with either ADP or an uncoupler that a specific rate of respiration may not have a unique associated value of the protonmotive force. Alternatively, a specific protonmotive force may not be associated with a unique rate of respiration. It seems that the rate of respiration and the protonmotive force are more sensitive to the agents used for the titrations than to each other. Such observations are not easily explained by the chemiosmotic hypothesis. It is, however, possible provided that the proton conductivities, i.e. the rates of dissipation of the protonmotive force, are considered to be different for each of the agents used to titrate the rate of respiration at the same protonmotive force, or vice versa.     

The effects of partial uncoupling upon the kinetics of ATP synthesis by vesicles from Paracoccus denitrificans and by bovine heart submitochondrial particles. Implications for the mechanism of the proton-translocating ATP synthase

1. Reduction in the magnitude of the respiration-dependent protonmotive force (proton electrochemical gradient in mV) of vesicles from Paracoccus denitrificans, and of submitochondrial particles, has been found to be paralleled small increases in S50% values for both ADP and Pi. For example, reduction of the protonmotive force of P. denitrificans vesicles from 145 mV to 110 mV was accompanied by an increase of S50% (ADP) from 8 microM to 18 microM, and an increase of S50% (Pi) from 0.33 mM to 1.4 mM. This result was obtained with partial uncoupling quantities of both carbonyl-cyanide p-trifluoromethoxyphenylhydrazone and of the synergistic combination of nigericin plus valinomycin in the presence of K+. In view of the similar effects of these two different methods of uncoupling it is concluded that the changes in S50% were a consequence of the diminished protonmotive force acting on the ATP synthase rather than of a secondary, direct interaction of the uncouplers with the enzyme. Changes in S50% rather than Km are described because under several sets of conditions double-reciprocal plots were nonlinear. 2. For equivalent attenuations in the rate of ATP synthesis by submitochondrial particles, 2,4-dinitrophenol caused much larger increases in S50% (ATP) than did carbonylcyanide p-trifluoromethoxyphenylhydrazone. Therefore it is concluded that the effect of 2,4-dinitrophenol was primarily a consequence of its previously recognized direct interaction with the F1 segment of the mitochondrial ATPase. The concentration range of 2,4-dinitrophenol that raised S50% (ADP) is similar to that which weakens the binding of ADP to a particular type of site on the purified F1 sector of ATP synthase. This correlation is consistent with such a site having a catalytic role during ATP synthesis. 3. A titration of the rate of ATP synthesis by vesicles of P. denitrificans with increasing quantities of carbonylcyanide p-trifluoromethoxyphenylhydrazone showed that the initial titres of the uncoupler caused large decreases in the rate of ATP synthesis for relatively small attenuations in the protonmotive force. Thus the initial 20 mV drop in the protonmotive force was accompanied by a reduction of more than 65% in the rate of ATP synthesis. Over the lowest range of values of protonmotive force that drove detectable rates of ATP synthesis however, the dependence of the rate was a less steep function of the protonmotive force. A plot of the logarithm of the rate of ATP synthesis against protonmotive force reveals a biphasic relationship. There does not appear to be a 'threshold' value of the protonmotive force below which ATP synthesis is blocked by kinetic factors. 4. The relationships of the protonmotive force with S50% values and with the rate of ATP synthesis (at near saturating concentrations of ADP and Pi) are discussed in relation to possible mechanisms for the coupling of proton translocation to ATP synthesis.     

Absence of a unique relationship between active transport of lactose and protonmotive force in E. coli

The relationship between active transport of lactose via the lactose permease and the protonmotive force has been determined in E. coli cells using either the respiratory chain inhibitor cyanide or protonophores to decrease the protonmotive force progressively. In contradiction with the prediction of the delocalized chemiosmotic theory, two different relationships were obtained depending on the method used.     

The protonmotive force in phosphorylating membrane vesicles from Paracoccus denitrificans. Magnitude, sites of generation and comparison with the phosphorylation potential

1. The magnitude of the protonmotive force in phosphorylating membrane vesicles from Paracoccus denitrificans was estimated. The membrane potential component was determined from the uptake of S(14)CN(-), and the transmembrane pH gradient component from the uptake of [(14)C]methylamine. In each case a flow-dialysis technique was used to monitor uptake. 2. With NADH as substrate, the membrane potential was about 145mV and the pH gradient was below 0.5 pH unit. The membrane potential was decreased by approx. 15mV during ATP synthesis, and was abolished on addition of carbonyl cyanide p-trifluoromethoxyphenylhydrazone. In the presence of KCl plus valinomycin the membrane potential was replaced by a pH gradient of 1.5 units. 3. Succinate oxidation generated a membrane potential of approx. 125mV and the pH gradient was below 0.5 pH unit. Oxidation of ascorbate (in the presence of antimycin) with either 2,3,5,6-tetramethyl-p-phenylenediamine or NNN'N'-tetramethyl-p-phenylenediamine as electron mediator usually generated a membrane potential of approx. 90mV. On occasion, ascorbate oxidation did not generate a membrane potential, suggesting that the presence of a third energy-coupling site in P. denitrificans vesicles is variable. 4. With NADH or succinate as substrate, the phosphorylation potential (DeltaG(p)=DeltaG(0)'+RTln[ATP]/ [ADP][P(i)]) was approx. 53.6kJ/mol (12.8kcal/mol). Comparison of this value with the protonmotive force indicates that more than 3 protons need to be translocated via the adenosine triphosphatase of P. denitrificans for each molecule of ATP synthesized by a chemiosmotic mechanism. In the presence of 10mm-KNO(3) the protonmotive force was not detectable (<60mV) but DeltaG(p) was not altered. This result may indicate either that there is no relationship between the protonmotive force and DeltaG(p), or that for an unidentified reason the equilibration of SCN(-) or methylamine with the membrane potential and the pH gradient is prevented by NO(3) (-) in this system.     

The protonmotive force in bovine heart submitochondrial particles. Magnitude, sites of generation and comparison with the phosphorylation potential.

1. The magnitude of the protonmotive force in respiring bovine heart submitochondrial particles was estimated. The membrane-potential component was determined from the uptake of S14CN-ions, and the pH-gradient component from the uptake of [14C]methylamine. In each case a flow-dialysis technique was used to monitor uptake. 2. With NADH as substrate the membrane potential was approx. 145mV and the pH gradient was between 0 and 0.5 unit when the particles were suspended in a Pi/Tris reaction medium. The addition of the permeant NO3-ion decreased the membrane potential with a corresponding increase in the pH gradient. In a medium containing 200mM-sucrose, 50mM-KCl and Hepes as buffer, the total protonmotive force was 185mV, comprising a membrane potential of 90mV and a pH gradient of 1.6 units. Thus the protonmotive force was slightly larger in the high-osmolarity medium. 3. The phosphorylation potential (= deltaG0' + RT ln[ATP]/[ADP][Pi]) was approx. 43.1 kJ/mol (10.3kcal/mol) in all the reaction media tested. Comparison of this value with the protonmotive force indicates that more than 2 and up to 3 protons must be moved across the membrane for each molecule of ATP synthesized by a chemiosmotic mechanism. 4. Succinate generated both a protonmotive force and a phosphorylation potential that were of similar magnitude to those observed with NADH as substrate. 5. Although oxidation of NADH supports a rate of ATP synthesis that is approximately twice that observed with succinate, respiration with either of these substrates generated a very similar protonmotive force. Thus there seemed to be no strict relation between the size of the protonmotive force and the phosphorylation rate. 6. In the presence of antimycin and/or 2-n-heptyl-4-hydroxyquinoline N-oxide, ascorbate oxidation with either NNN'N'-tetramethyl-p-phenylenediamine or 2,3,5,6-tetramethyl-p-phenylenediamine as electron mediator generated a membrane potential of approx. 90mV, but no pH gradient was detected, even in the presence of NO3-. These data are discussed with reference to the proposal that cytochrome oxidase contains a proton pump.     

Protonmotive force generation by a redox loop mechanism

Respiration involves the oxidation and reduction of substrate for the redox-linked formation of a protonmotive force (PMF) across the inner membrane of mitochondria or the plasma membrane of bacteria. A mechanism for PMF generation was first suggested by Mitchell in his chemiosmotic theory. In the original formulations of the theory, Mitchell envisaged that proton translocation was driven by a 'redox loop' between two catalytically distinct enzyme complexes. Experimental data have shown that this redox loop does not operate in mitochondria, but has been confirmed as an important mechanism in bacteria. The nitrate respiratory pathway in Escherichia coli is a paradigm for a protonmotive redox loop. The structure of one of the enzymes in this two-component system, formate dehydrogenase-N, has revealed the structural basis for the PMF generation by the redox loop mechanism and this forms the basis of this review.     

Proton diffusion along the membrane surface of thylakoids is not enhanced over that in bulk water

In photosynthesis and respiration ATP synthesis is powered by a transmembrane protonmotive force. Membrane bound proton pumps and proton translocating ATPsynthases are coupled by lateral proton flow. Whether it leads through the aqueous bulk phases (chemiosmotic theory) or whether it is confined to the membrane or the membrane water interface, is still controversial. Another related controversy is whether or not proton diffusion along the interface between a phospholipid membrane and water is enhanced over the one in bulk water. Thylakoid membranes of plant chloroplasts are intrinsically closely apposed (≈5 nm). To study lateral proton diffusion along the narrow interfacial domain between adjacent thylakoid membranes, we stimulated the proton pumps by a flash of light. This generates an alkalinization jump. In the absence of ADP the membrane is relatively proton tight. Therefore, the alkalinization jump relaxes into the medium. The relaxation kinetics as function of pH and added buffers were studied by flash spectrophotometry. The results were compared with a theory dealing with the diffusion of protons, hydroxyl ions, and mobile buffers plus the action of fixed buffers. We came to the conclusion that the lateral diffusion coefficient both, for H⁺ and for OH^- was less or of same magnitude as in bulk water.     

Protonmotive force as the source of energy for adenosine 5''-triphosphate synthesis in Escherichia coli.

Net synthesis of adenosine 5'-triphosphate (ATP) in energy-depleted cells of Escherichia coli was observed when an inwardly directed protonmotive force was artificially imposed. In wild-type cells, ATP synthesis occurred whether the protonmotive force was dominated by the membrane potential (negative inside) or the pH gradient (alkaline inside). Formation of ATP did not occur unless the protonmotive force exceeded a value of 200 mV. Under these conditions, no ATP synthesis was found when cells were exposed to an inhibitor of the membrane-bound Ca2+- and Mg2+- stimulated adenosine triphosphatase (EC 3.6.1.3), dicyclohexylcarbodiimide, or to a proton conductor, carbonylcyanide-p-trifluoromethoxyphenyl-hydrazone. Adenosine triphosphatase-negative mutants failed to show ATP synthesis in response to either a membrane potential or a pH gradient. ATP synthesis driven by a protonmotive force was observed in a cytochrome-deficient mutant. These observations are consistent with the chemiosmotic hypothesis of Mitchell (1961, 1966, 1974).     

The pH in the neighborhood of membranes generating a protonmotive force

The chemiosmotic mechanism provides a way whereby energy inherent in a chemical combustion process is extracted and transduced: first into the energy of electron X volts of the electron redox system and second into proton X volts as protons are forced to leave the interior of the cell, creating an electro-chemical protonic potential (the protonmotive force). Here we consider the distribution of potential and pH across the membrane and the phases bathing the membrane in more detail. The distribution of hydrogen ions parallel to the surface is also described. It is shown that the voltage and pH gradients due to the proton extrusion occur near to the membrane (approximately 2 nm). This implies that the pH is much lower immediately outside the membrane than in the cytoplasm or in usual neutral growth or isotonic media. It provides a link between the points of view of Mitchell and Williams. It requires that literature models for the role of the protonmotive force in the maintenance of wall thickness in Gram-positive organisms, the adhesion of microbes to surfaces, and the transport of auxin in plants be modified.     

Stoichiometry of the H+-ATPase of growing and resting, aerobic Escherichia coli

The H+/ATP stoichiometry of the proton-translocating ATPase was investigated in growing and nongrowing, respiring cells of Escherichia coli. The protonmotive force, delta p, was determined by measuring the transmembrane chemical gradient of protons, delta pH, from the cellular accumulation of benzoate anions, and the electrical gradient, delta psi, from the accumulation of the lipophilic cation tetraphenylphosphonium (TPP+). The accumulation of lactose was also used to calculate the delta p in this lactose operon constitutive beta-galactosidase negative mutant. The phosphorylation potential, delta GP', was determined by measuring the cellular concentration of ATP, ADP, and inorganic phosphate. According to chemiosmotic principles, at steady state the phosphorylation potential is in thermodynamic equilibrium with the protonmotive force, and thus the ratio delta p/delta GP' can be used to determine the H+/ATP ratio. Respiring E. coli cells, in mid-exponential phase of growth or incubated in buffer, at external pHs from 6.25 to 8.25 had a constant delta GP' of about 500 mV. The H+/ATP ratio was found to be 3 when the delta p value derived from lactose accumulation levels was used. However, when the delta p values derived from delta pH and delta psi were used in the calculations, the H+/ATP ratio varied from about 2.5 at external pH 6.25 to about 4 at pH 8.25. Arguments are presented for the hypothesis that the delta psi values obtained from the TPP+ measurements are likely to be inaccurate and that a value of 3 H+/ATP, independent of the external pH, is likely to be the valid stoichiometry.     

Unique relationships between the rates of oxidation and phosphorylation and the protonmotive force in rat-liver mitochondria

The rate of ATP synthesis (JP) in isolated rat-liver mitochondria was strongly dependent on the magnitude of the protonmotive force (delta mu H+) across the mitochondrial inner membrane. Addition of different concentrations of various uncouplers or malonate to mitochondrial incubations in State 3 led to a depression of delta mu H+ and a concomitant decrease in JP. A unique relationship between JP and delta mu H+ was obtained, which was independent of the way in which delta mu H+ was varied. This unique relationship was observed when K+ (in the presence of valinomycin) was used as a probe for delta psi. Different relationships between JP and delta mu H+ were observed when K+ was used as a probe for delta psi and when K+ was measured after separation of the mitochondria by centrifugation without silicone oil. This led to a serious underestimation of delta psi, specifically when uncouplers were present, and non-unique flow-force relationships were thus obtained. Anomalous relationships between JP and delta mu H+ were also found when TPMP+ was used as a probe for delta psi. However, in uncoupler incubations the presence of TBP- strongly affected the TPMP+ accumulation ratio without any effect on the K+ accumulation or on JP and in the presence of TBP- unique relationships between JP and delta mu H+ were again obtained. This indicates that the accumulation of TPMP+ inside the mitochondria is not a straightforward function of delta psi but also depends on conditions like the presence of TBP- or uncouplers. We conclude that there is a unique relationship between the rate of phosphorylation and the protonmotive force in mitochondria and that under some conditions the behaviour of TPMP+ is anomalous.     

Steady-state kinetics of the overall oxidative phosphorylation reaction in heart mitochondria. Evidence for linkage of the energy-yielding and energy-consuming steps by freely diffusible intermediates and for an allosteric mechanism of respiratory control at coupling site 2

The three coupling segments of the respiratory chain of bovine heart mito-chondria were examined individually by steady-state kinetic methods to determine whether or not freely diffusible intermediates occur between the energy-yielding and energy-consuming steps involved in the oxidative phosphorylation of extramitochondrial ADP. The principal method employed was the dual inhibitor technique, for which an appropriate model is provided. The results indicate that in accordance with the chemiosmotic theory the intermediate reactants that link the energy-yielding rotenone-sensitive (Site 1), cytochromebc ₁ (Site 2), and cytochromeaa ₃ (Site 3) reactions of the respiratory chain to the energy-consuming ATP synthetase, AdN transport, and P_i transport reactions are freely diffusible (delocalized). Site 2 was found to differ from the others in regard to the mechanism by which the energy-linked respiratory chain reaction is controlled by the energy-consuming steps. Whereas the Site 1 and Site 3 respiratory chain reactions are controlled primarily by the thermodynamic mechanism of reaction reversal, the Site 2 respiratory reaction is controlled primarily by a kinetic mechanism in which an intermediate that links it to the energy-consuming steps inhibits it allosterically. From the effects of nigericin and valinomycin the allosteric intermediate appears to be the electrical component of the protonmotive force.     

Modification of flow-force relationships by external ATP in yeast mitochondria

The purpose of this work is to measure protonmotive force and cytochrome reduction level under different respiratory steady states in isolated yeast mitochondria. The rate of respiration was varied by using three sets of conditions: (a) different external phosphate concentrations with a fixed concentration of ADP (ATP synthesis) and (b) different concentrations of carbonylcyanide m-chlorophenylhydrazone in the presence of oligomycin and carboxyatractylate (uncoupling) either in the absence or (c) in the presence of external ATP. ADP plus phosphate stimulates respiration more than uncoupler at the same protonmotive force value. However, the relationships between respiratory rate and protonmotive force were similar when stimulation was induced either by ADP + Pi or by carbonylcyanide m-chlorophenylhydrazone in the presence of ATP. At the same respiratory rate, cytochrome a + a3 is more reduced by uncoupler than by ADP + Pi additions. However, the relationships between respiratory rate and reduction level of cytochrome-c oxidase are similar both under ATP synthesis and with uncoupling conditions in the presence of external ATP. Control of respiration exerted by cytochrome-c oxidase, and support the view the condition mentioned above. This control was low when the respiratory rate was varied by the ATP synthesis rate; it increased as a function of the respiratory rate with uncoupler in the absence of ATP. ATP decreased this control under uncoupling conditions. These results suggest a regulatory effect of external ATP on cytochrome-c oxidase, and support the view that the relationships between respiratory rate and protonmotive force, on the one hand, and respiratory rate and the reduction level of cytochrome-c oxidase, on the other, depend respectively on the kinetic regulations of the system.     

An evaluation of respiration chain-associated functions during initiation of germination of Bacillus megaterium spores.

In Bacillus megaterium QM B1551, spore germination could be initiated by glucose in the absence of detectable oxygen consumption, ATP synthesis or a pH decrease in the external media, suggesting that none of those reactions were mandatory. In addition, initiation of germination was insensitive to a variety of inhibitors of energy production or protonmotive force uncouplers. Therefore the respiratory chain-associated functions are not prerequisites for initiation of germination but these functions may be necessary to drive energy-dependent transport systems and other biosynthetic reactions during outgrowth.     

Effect of 2,4-dinitrophenol and ionophores on growth and methanogenesis inMethanobacterium thermoautotrophicum

2,4-Dinitrophenol and gramicidin D completely inhibited growth and methanogenesis inMethanobacterium thermoautotrophicum. At low K⁺ concentrations valinomycin inhibited growth and methanogenesis relatively slightly, at high K⁺ concentrations (0.1m KCl) growth was inhibited completely and methanogenesis by about 50%. Monensin and nigericin inhibited growth completely; methanogenesis was inhibited like with valinomycin at high K⁺ concentrations. The results can be interpreted in terms of Mitchell’s chemiosmotic theory as follows. The protonmotive force inM. thermoautotrophicum is the basic source of energy for endergonic processes. Dissipation of the electrical component of protonmotive force may probably be compensated by an increased generation of the proton gradient. However, the osmotic component is essential for growth ofM. thermoautotrophicum.     

An evaluation of respiration chain-associated functions during initiation of germination of Bacillus megaterium spores

In Bacillus megaterium QM B1551, spore germination could be initiated by glucose in the absence of detectable oxygen consumption, ATP synthesis or a pH decrease in the external media, suggesting that none of those reactions were mandatory. In addition, initiation of germination was insensitive to a variety of inhibitors of energy production or protonmotive force uncouplers. Therefore the respiratory chain-associated functions are not prerequisites for initiation of germination but these functions may be necessary to drive energy-dependent transport systems and other biosynthetic reactions during outgrowth.     

Light energy conservation processes in Halobacterium halobium cells.

In Halobacterium halobium, proton pumping driven by light or by respiration generates an electrochemical potential difference across the membrane. Energy storage in this form is only transient. Cellular energy transducers competing with proton leaks stabilize this free energy as high energy phosphate bonds, electrochemical potential of other ions, and chemical potential of amino acids and possibly other chemical species. The pH changes induced by light or by respiration in cell suspensions are complicated by proton flows associated with the functioning of the cellular energy transducers. Dominant is the proton inflow coupled to the synthesis of ATP, which has been kinetically resolved. A proton-per-ATP ratio of about 3 is calculated from simultaneous measurements of photophosphorylation and the proton inflow. This value is compatible with the chemiosmotic coupling hypothesis. The time course of the light-induced changes in membrane potential indicates that light-driven pumping increases a dark preexisting potential of about 130 mV only by a small amount (20-30 mV). The complex kinetic features of the membrane potential changes do not closely follow those of the pH changes, indicating that flows of ions other than protons are involved. A qualitative model consistent with the available data is presented. A salient feature of this model is a sudden relaxation of the protonmotive force by a proton inflow through the ATPase when the preexisting protonmotive force is increased by light or respiration and reaches a critical value. The trigger could be either the proton-motive force, the pH gradient, or possibly the internal pH.     

Evidence for energy-dependent change in phosphate binding for mitochondrial oxidative phosphorylation based on measurements of medium and intermediate phosphate-water exchanges.

Characteristics of the exchange reactions catalyzed by beef heart submitochondrial particles give new insight into energy transducing steps of oxidative phosphorylation. The uncoupler-insensitive portion of the total Pi in equilibrium HOH exchange in presence of ATP, ADP, and Pi is the intermediate Pi in equilibrium HOH exchange, that is the exchange occurring with Pi formed by hydrolysis of ATP prior to release of Pi from the catalytic site. The exchange of medium Pi with HOH is as sensitive to uncouplers as the Pi in equilibrium ATP exchange and net oxidative phosphorylation, demonstrating a requirement of an uncoupler-sensitive energized state, probably a transmembrane potential or proton gradient, for bringing medium Pi to the reactive state. The covalent bond forming and breaking step at the catalytic site (ADP + Pi in equilibrium ATP + HOH) appears relatively insensitive to uncouplers. Thus to the extent that uncouplers dissipate transmembrane proton-motive force, it is unlikely that such a force is used to drive ATP formation by direct protonations of Pi oxygens. When only Pi and ADP are added and formation of ATP from added ADP by adenylate kinase and subsequent ATP hydrolysis are adequately blocked, no Pi in equilibrium HOH exchange can be observed, demonstrating a requirement of energization by ATP binding and cleavage for such an exchange. This uncoupler-insensitive energization is suggested to represent a conformationally energized state that can be used reversibly to develop a transmembrane protonmotive force accompanying ADP and Pi release. Rates of various exchanges as estimated by improved procedures are compatible with all oxygen exchanges occurring by dynamic reversal of ATP hydrolysis at the catalytic site.     

Acidic lipids, H-ATPases, and mechanism of oxidative phosphorylation. Physico-chemical ideas 30 years after P. Mitchell's Nobel Prize award

Peter D. Mitchell, who was awarded the Nobel Prize in Chemistry 30 years ago, in 1978, formulated the chemiosmotic theory of oxidative phosphorylation. This review initially analyzes the major aspects of this theory, its unresolved problems, and its modifications. A new physico-chemical mechanism of energy transformation and coupling of oxidation and phosphorylation is then suggested based on recent concepts regarding proteins, including ATPases that work as molecular motors, and acidic lipids that act as hydrogen ion (H⁺) carriers. According to this proposed mechanism, the chemical energy of a redox substrate is transformed into nonequilibrium states of electron-transporting chain (ETC) coupling proteins. This leads to nonequilibrium pumping of H⁺ into the membrane. An acidic lipid, cardiolipin, binds with this H⁺ and carries it to the ATP-synthase along the membrane surface. This transport generates gradients of surface tension or electric field along the membrane surface. Hydrodynamic effects on a nanolevel lead to rotation of ATP-synthase and finally to the release of ATP into aqueous solution. This model also explains the generation of a transmembrane protonmotive force that is used for regulation of transmembrane transport, but is not necessary for the coupling of electron transport and ATP synthesis.     

Transport of proteins into mitochondria: a potassium diffusion potential is able to drive the import of ADP/ATP carrier.

The transfer of cytoplasmically synthesized precursor proteins into or across the inner mitochondrial membrane is dependent on energization of the membrane. To investigate the role of this energy requirement, a buffer system was developed in which efficient import of ADP/ATP carrier into mitochondria from the receptor-bound state occurred. This import was rapid and was dependent on divalent cations, whereas the binding of precursor proteins to the mitochondrial surface was slow and was independent of added divalent cations. Using this buffer system, the import of ADP/ATP carrier could be driven by a valinomycin-induced potassium diffusion potential. The protonophore carbonylcyanide m-chlorophenyl-hydrazone was not able to abolish this import. Imposition of a delta pH did not stimulate the import. We conclude that the membrane potential delta psi itself and not the total protonmotive force delta p is the required energy source.