Aperiodic oscillations of the lipid bilayer potential during enzymatic hydrolysis of the permeating substrate

The experimental system contained a solution with substrate ATEE-ether, a planar bilayer lipid membrane doped with a protonophore and solution with proteolytic enzyme. Oscillations of the electrical potential on the membrane were shown. The magnitude of the potential was proportional to the rate of the reaction under these conditions. This system may prove useful for the study of the peculiarities of enzyme kinetics complicated by the membrane.     

Substrate-induced membrane association of phosphatidylserine synthase from Escherichia coli.

To better establish the intracellular location of the phosphatidylserine synthase of Escherichia coli and hence better understand how it is regulated in the cell, we compared the size, function, and binding properties of the enzyme made in vitro with the enzyme found in cell lysates and with the purified enzyme. The enzyme made either in vivo or in an active form in vitro was found primarily associated with the ribosomal fraction of the cell and had the same apparent molecular mass as the purified enzyme. These results were unaffected by the presence of protease inhibitors. Addition of unsupplemented E. coli membranes or membranes supplemented with phosphatidylethanolamine did not affect the subcellular distribution of the enzyme in these experiments. However, addition of membranes supplemented with either the lipid substrate, CDP-diacylglycerol, or the lipid product, phosphatidylserine, resulted in membrane association by the enzyme rather than ribosomal association. Addition of membranes supplemented with acidic lipids also brought about membrane association, but this association was primarily ionic since it was disrupted by high salt concentrations. These results strongly suggest that the ribosomal location of this enzyme is not the result of some modification event occurring after cell lysis and that the normal functioning of the enzyme involves membrane association which is primarily induced by the presence of a membrane-associated substrate.     

Effect of electrical stimulation post mortem of bovine muscle on the binding of glycolytic enzymes. Functional and structural implications.

The extent of binding of glycolytic enzymes to the particulate fraction of homogenates was measured in bovine psoas muscle before and after electrical stimulation. In association with an accelerated glycolytic rate on stimulation, there was a significant increase in the binding of certain glycolytic enzymes, the most notable of which were phosphofructokinase, aldolase, glyceraldehyde 3-phosphate dehydrogenase and pyruvate kinase. From the known association of glycolytic enzymes with the I-band of muscle it is proposed that electrical stimulation of anaerobic muscle increases enzyme binding to actin filaments. Calculations of the extent of enzyme binding suggest that significant amounts of enzyme protein, particularly aldolase and glyceraldehyde 3-phosphate dehydrogenase, are associated with the actin filaments. The results also imply that kinetic parameters derived from considerations of the enzyme activity in the soluble state may not have direct application to the situation in the muscle fibre, particularly during accelerated glycolysis.     

Fluorescence spectroscopy studies of the association of membrane and soluble forms of chromaffin granule dopamine-beta-monooxygenase to bipolar phospholipid liposomes and micelles

The association of membrane and soluble forms of dopamine-beta-monooxygenase to liposomes and micelles made from phosphatidylcholine and lysophosphatidylcholine respectively has been studied using the fluorescence spectroscopy technique. As it was shown in our previous study these bipolar phospholipids activate the reaction catalyzed by the enzyme. Effects of pH and ionic strength on the association process were also studied, and efficiency of the association for apo- and holoenzyme was compared. The data obtained demonstrate that electrostatic attraction is involved in the association process. It was also shown that the membrane dopamine-beta-monooxygenase associated with phospholipid liposomes and micelles with higher efficiency than the soluble one did, which might be due to the involvement of the hydrophobic interactions in the association process. The results of the experiments also suggest that this process is specific and depends on the enzyme conformation, particularly on its quaternary structure. The participation of the hydrophobic peptide of the membrane dopamine-beta-monooxygenase in the formation and stabilization of the enzyme-phospholipid complex in vivo is proposed.     

Evidence for the Functional Association of Enzyme I and HPr of the Phosphoenolpyruvate-Sugar Phosphotransferase System With the Membrane in Sealed Vesicles of Escherichia coli

Several independent assay procedures were used to estimate the activities of the enzyme constituents of the phosphoenolpyruvate-sugar phosphotransferase system (PTS) in osmotically shocked bacterial membrane vesicles. The soluble enzymes of the system were found to be in association with the membrane by several criteria. Phosphoenolpyruvate-dependent sugar phosphorylation was catalyzed by this membrane-bound enzyme system far more efficiently than by a mixture of the individual enzymes at corresponding concentrations. By contrast, the rates of the phosphoryl exchange reactions catalyzed by enzyme I and the enzyme II complexes were essentially the same for the associated and dissociated forms of the system. Functional association of the PTS-enzyme complex was stabilized by Mg⁺⁺ and phosphoenolpyruvate and could be destroyed by detergent treatment, sonication, or by passage of the vesicle preparation through a French pressure cell. These results lead to the possibility that in the intact bacterial cell the soluble enzymes of the phosphotransferase system exist, in part, as peripheral membrane constituents associated with the integral membrane enzyme II complexes.     

Regulation of the proton/electron stoichiometry of mitochondrial ubiquinol:cytochrome c reductase by the membrane potential.

The electron transfer reaction catalysed by mitochondrial ubiquinol:cytochrome c reductase is linked to the outwards translocation of protons with an H+ e- stoichiometry of 1 under non-membrane potential condition. The effect of the electrical membrane potential on the H+/e- stoichiometry was investigated. The enzyme was isolated from Neurospora crassa, reconstituted into phospholipid vesicles and electrical membrane potentials of various values were generated across the membranes by means of the valinomycin-induced potassium-diffusion method. Using lithium ions as counterions for the intravesicular potassium, the induced membrane potential was stable for minutes and was not significantly changed by the protons ejected by the working enzyme. This allowed the assay of steady-state reaction rates at pre-given values of electrical membrane potential. The rate ratio between electron transfer and proton translocation declined from 1 to 0.6 with increase of the membrane potential from 0 to 100 mV. The activity of the quinol/cytochrome c redox reaction followed a parabolic dependence, being activated by low (less than 50 mV) potential and inhibited by high (greater than 100 mV) potential. This apparent non-linear dependence was interpreted in terms of a linear flow/force relationship plus a membrane-potential-dependent slip. Evaluation of the parabolic course by means of a modified linear flow/force relation also indicated a decline of the H+/e- stoichiometry from 1 to 0.5 with increase of the membrane potential from 0 to 120 mV. These observations suggest that the membrane potential controls a change of ubiquinol:cytochrome c reductase between two states that have different reaction routes.     

Mutant phosphatidate phosphatase Pah1-W637A exhibits altered phosphorylation,membrane association,and enzyme function in yeast

The Saccharomyces cerevisiae PAH1-encoded phosphatidate (PA) phosphatase, which catalyzes the dephosphorylation of PA to produce diacylglycerol, controls the bifurcation of PA into triacylglycerol synthesis and phospholipid synthesis. Pah1 is inactive in the cytosol as a phosphorylated form and becomes active on the membrane as a dephosphorylated form by the Nem1–Spo7 protein phosphatase. We show that the conserved Trp-637 residue of Pah1, located in the intrinsically disordered region, is required for normal synthesis of membrane phospholipids, sterols, triacylglycerol, and the formation of lipid droplets. Analysis of mutant Pah1-W637A showed that the tryptophan residue is involved in the phosphorylation-mediated/dephosphorylation-mediated membrane association of the enzyme and its catalytic activity. The endogenous phosphorylation of Pah1-W637A was increased at the sites of the N-terminal region but was decreased at the sites of the C-terminal region. The altered phosphorylation correlated with an increase in its membrane association. In addition, membrane-associated PA phosphatase activity in vitro was elevated in cells expressing Pah1-W637A as a result of the increased membrane association of the mutant enzyme. However, the inherent catalytic function of Pah1 was not affected by the W637A mutation. Prediction of Pah1 structure by AlphaFold shows that Trp-637 and the catalytic residues Asp-398 and Asp-400 in the haloacid dehalogenase-like domain almost lie in the same plane, suggesting that these residues are important to properly position the enzyme for substrate recognition at the membrane surface. These findings underscore the importance of Trp-637 in Pah1 regulation by phosphorylation, membrane association of the enzyme, and its function in lipid synthesis.     

Activation of PMCA by calmodulin or ethanol in plasma membrane vesicles from rat brain involves dissociation of the acetylated tubulin/PMCA complex

We have recently shown that acetylated tubulin interacts with plasma membrane Na(+),K(+)-ATPase and inhibits its enzyme activity in several types of cells. H(+)-ATPase of Saccharomyces cerevisiae is similarly inhibited by interaction with acetylated tubulin. The activities of both these ATPases are restored upon dissociation of the acetylated tubulin/ATPase complex. Here, we report that in plasma membrane vesicles isolated from brain synaptosomes, another P-type ATPase, plasma membrane Ca(2+)-ATPase (PMCA), undergoes enzyme activity regulation by its association/dissociation with acetylated tubulin. The presence of acetylated tubulin/PMCA complex in membrane vesicles was demonstrated by analyzing the behavior of acetylated tubulin in a detergent partition, and by immunoprecipitation experiments. PMCA is known to be stimulated by ethanol and calmodulin at physiological concentrations. We found that treatment of plasma membrane vesicles with these reagents induced dissociation of the complex, with a concomitant restoration of enzyme activity. Conversely, incubation of vesicles with exogenous tubulin induced the association of acetylated tubulin with PMCA, and the inhibition of enzyme activity. These findings indicate that activation of synaptosomal PMCA by ethanol and calmodulin involves dissociation of the acetylated tubulin/PMCA complex. This regulatory mechanism was shown to also operate in living cells.     

Soluble precursor of membrane-associated protein kinase in uterine smooth muscle cells

Incubation of smooth muscle strips from rat uterus with isoproterenol resulted in redistribution of protein kinase activity between the cytosol and a 20,000 to 50,000g membrane fraction. Similarities in the elution properties of the cytosolic and membrane-associated forms of the enzyme on DEAE-cellulose ion exchange chromatography further suggested the two forms were the same. The nature of membrane binding of the soluble enzyme was investigated using smooth muscle microsomal and cytosol fractions. Membranes readily bound the soluble enzyme when the two subcellular compartments were reconstituted and incubated at 30 °C for 10 min. The extent of binding was proportional to the ratio of membranes to cytosol and was characterized by the inhibition of soluble enzyme activity toward exogenous substrates in a Triton X-100 reversible manner. In marked contrast to the binding of soluble protein kinase to heart particulate fractions, binding of the cytosol enzyme to smooth muscle cell membranes was unaffected by ionic strength or cAMP. The latter property indicated holoenzyme was bound in a manner similar to the free catalytic subunit of cAMP-dependent protein kinase and suggested the enzyme was bound by association between the membrane and the catalytic subunit. Binding of cytosol protein kinase to the membranes rendered the enzyme insensitive to trypsin digestion and the capacity of the smooth muscle cell membranes to bind the soluble enzyme exceeded that of other rat tissue fractions. Resistance to salt extraction and proteolysis, as well as its detergent dependence, suggested the soluble enzyme became an integral or intrinsic membrane protein following association with the membrane. The ability of membranes to incorporate [γ-³²P]ATP into phosphoprotein was lost on detergent extraction of protein kinase and restored in an apparently specific manner when extracted and washed membranes were reconstituted with soluble enzyme. The intrinsic nature of membrane protein kinase and the apparent specificity with which the soluble enzyme was hound by membranes further indicated that, in myometrium. hormone-induced translocation of protein kinase is an important mechanism by which enzyme activity is increased in the vicinity of its in situ substrates.     

Reversible membrane association of neutrophil 5-lipoxygenase is accompanied by retention of activity and a change in substrate specificity.

Ionophore activation of the human polymorphonuclear neutrophil results in eicosanoid synthesis and the accumulation of inactive 5-lipoxygenase in a membrane compartment. We report here that inhibition of self-inactivation of 5-lipoxygenase in ionophore-treated neutrophils with the reversible inhibitor zileuton, results in the accumulation of active 5-lipoxygenase in the membrane fraction. In zileuton plus ionophore-treated cells, 77% of the specific activity of the cytosolic enzyme from resting cells was diverted to the membrane fraction compared to 22% of the activity translocated when ionophore alone was used to activate the neutrophils. Accumulation of active membrane-associated 5-lipoxygenase was inhibited and reversed by the 5-lipoxygenase translocation inhibitor MK-886. The membrane-associated 5-lipoxygenase was two times more efficient in the production of leukotriene A4 from arachidonate-derived 5-hydroperoxyeicosatetraenoic acid than the cytosolic enzyme. Unlike the cytosolic enzyme, membrane-associated 5-lipoxygenase could metabolize 12(S)- and 15(S)-hydroxyeicosatetraenoic acid to 5(S),12(S)- and 5(S),15(S)-dihydroxyeicosatetraenoic acid, respectively. The ability to metabolize hydroxy fatty acids was dependent upon 5-lipoxygenase-activating protein association, but was lost if 5-lipoxygenase was eluted from the membrane by MK-886. These studies reveal for the first time that significant quantities of active 5-lipoxygenase can be detected in the membrane fraction of activated neutrophils and show that membrane association can alter the substrate specificity of 5-lipoxygenase which is further evidence for the role of the membrane-associated enzyme in the synthesis of 5-lipoxygenase metabolites.     

Presence of detergent-resistant microdomains in lysosomal membranes

We examined the association of acetyl-CoA:alpha-glucosaminide N-acetyltransferase, a lysosomal enzyme participating in the degradation of heparan sulfate with other components of the lysosomal membrane. We prepared lysosomal membranes from human placenta and treated them with zwitterionic and non-ionic detergents. Membrane proteins were solubilized either in the presence of CHAPS at room temperature or of Triton X-100 at 4 degrees C. The CHAPS-containing extract was subjected to gel filtration in a column with the nominal size exclusion of 0.6 MDa. Under these conditions the enzyme fractionated near the void volume. To examine the association of the enzyme with detergent-resistant lipid microdomains, the extract that had been prepared with Triton X-100 was subjected to flotation in a density gradient medium. After centrifugation, a major portion of the activity of the acetyltransferase was found at the top of the gradient along with the bulk of alkaline phosphatase. Alkaline phosphatase is a glycosylphosphatidylinositol-anchored protein; possibly a contaminant in the lysosomal fraction originating from the plasma membrane and adventitiously an internal control for the flotation in the gradient. In contrast, acetyltransferase is a genuine lysosomal protein that obligatorily spans the membrane since it transfers acetyl residues from acetyl-CoA in cytosol to glucosaminyl residues in heparan sulfate fragments in the lysosomal matrix. To our knowledge this is the first report on association of a lysosomal membrane protein with detergent-resistant membrane microdomains or rafts.     

Comparison of the Soluble and Membrane-Bound Forms of the Puromycin-Sensitive Enkephalin-Degrading Aminopeptidases from Rat

Enkephalin degradation in brain has been shown to be catalyzed, in part, by a membrane-bound puromycin-sensitive aminopeptidase. A cytosolic puromycin-sensitive aminopeptidase with similar properties also has been described. The relationship between the soluble and membrane forms of the rat brain enzyme is investigated here. Both of these aminopeptidase forms were purified from rat brain and an antiserum was generated to the soluble enzyme. Each of the aminopeptidases is composed of a single polypeptide of molecular mass 100 kilodaltons as determined by sodium dodecyl sulfate-polyacrylamide gel electrophoresis and size-exclusion chromatography. The antisoluble aminopeptidase antiserum reacts with both enzyme forms on immunoblots and inhibits both with nearly identical inhibition curves. The isoelectric points (pI = 5.0) of both forms were shown to be identical. N-terminal sequencing yielded a common sequence (P-E-K-R-P-F-E-R-L-P-T-E-V-S-P-I-N-Y) for both enzyme forms, and peptide mapping yielded 26 peptides that also appeared identical between the two enzyme forms. Studies on the nature of the association of the membrane enzyme form with the cell membrane suggest that this enzyme form does not represent the soluble form trapped during the enzyme preparation. It is suggested that the membrane form of the puromycin-sensitive aminopeptidase is identical to the soluble enzyme and that it associates with the membrane by interactions with other integral membrane proteins.     

Mechanism of aldolase binding to erythrocyte membrane: Part II. Kinetic aspects

The nature of binding of FDP aldolase to bovine erythrocyte membrane was examined. The Km value of bound and soluble enzyme differed by an order. The absence of time-lag in the velocity-time curves at various concentrations of the substrate and the similar extent of inactivation of bound and soluble enzyme on heat treatment suggested that the enzyme was bound at a point other than the catalytic site. The release of the enzyme by various glycolytic intermediates suggested their involvement in binding to the catalytic site through phosphate linkage. The non-phosphorylated compounds like lactate, reduced glutathione, 2-mercaptoethanol and EDTA were ineffective in eluting the enzyme. On the basis of separate binding sites on the enzyme for membrane and ligands, the mechanism of association dissociation of aldolase has been suggested.     

Properties of adenylate cyclase solubilized from rat adrenal membranes: effects of ACTH and other stimulators on solubilization.

We have solubilized adenylate cyclase in a relatively stable form from rat adrenal membranes. The solubilized enzyme elutes on a column of Sepharose 4BR as a distinct peak with a higher molecular weight than the soluble fractions which bind 125I-ACTH. Both the soluble and membrane bound enzymes are activated by NaF and Gpp(NH)p, and both have similar affinities for MgATP. While the membrane bound enzyme is activated similarly by either Mg2+ or Mn2+, the soluble enzyme is more fully activated by Mn2+. Pretreatment of adrenal membranes with NaF or Gpp(NH)p before the addition of detergent enhances recovery of soluble enzyme activity, while recovery of activity in the unsolubilized membrane pellet is unchanged. In contrast, addition of ACTH prevents solubilization of the enzyme and greatly increases its recovery in the pellet. This observation is consistent with the theory that action of the hormone on a receptor subunit leads to an association between the receptor and a catalytic subunit. Such an association might make it more difficult to remove the enzyme from the surrounding lipid matrix of the membrane.     

Electrical properties of squid axon membrane. II. Effect of partial degradation by phospholipase A and pronase on electrical characteristics

Passive electrical characteristics of perfused squid axon membrane are investigated. In a previous publication, we reported that the capacitance of intact squid axon membrane is partly frequency dependent. We extended the same measurement to perfused axons. We found that the electrical characteristics of perfused axon membrane are essentially the same as those of intact axons. In this work, we investigated the effects of phospholipase A and pronase on the membrane capacitance. Phospholipase A is known to block the sodium activation and pronase to eliminate the sodium inactivation. Phospholipase A is found to increase the frequency dependent as well as the frequency independent capacitances. Our tentative conclusion is that this enzyme perturbs the lipid structure and decreases its thickness. Pronase is found to increase the frequency dependent capacitance slightly while the capacitance of the lipid layer remains unaltered. Although voltage clamp data indicate that the pronase disrupts the excitatory mechanism extensively, this enzyme has relatively little effect on the overall membrane capacitance.     

Interactions of 5-lipoxygenase with membranes: studies on the association of soluble enzyme with membranes and alterations in enzyme activity

Treatment of rat basophilic leukemia cells (RBL-1) with the calcium ionophore A23187 resulted in activation of 5-lipoxygenase, as indicated by an induction of leukotriene release [Orning, L., Hammarstr?m, S., & Samuelsson, B. (1980) Proc. Natl. Acad. Sci. U.S.A. 77, 2017]. The enzyme activation was accompanied by a time-dependent association of 5-lipoxygenase to the particular fraction. When cells were lysed in the presence of 0.05-10 microM CaCl2, the soluble 5-lipoxygenase became associated with the particulate fraction. This was demonstrated by a decrease in immunoreactivities and enzymatic activities in the soluble fraction and a parallel increase in particulate-associated immunoreactivities. The particulate-bound enzyme was not active. Ca2+ induced the membrane association of 5-lipoxygenase when added into the incubation mixtures containing the membrane fraction with either the cytosolic fraction or the purified enzyme. 5-Lipoxygenase also bound to the microsomal-enriched fraction in the presence of Ca2+. Maximal membrane binding was obtained after a 1-min incubation at 4 degrees C. When a fixed amount of isolated membranes (0.2 mg of protein) and increasing cytosolic protein (0.5-4 mg) were used, a linear increase in enzyme binding was observed. The binding became saturated at 3 mg of cytosolic protein/mg of membrane protein. 5-Lipoxygenase binding to the membrane fraction was unaffected by pretreatment of the membranes with trypsin but was inhibited by treating with phospholipase A2, suggesting that phospholipids are involved.(ABSTRACT TRUNCATED AT 250 WORDS)     

Electrical properties of squid axon membrane. II. Effect of partial degradation by phospholipase A and pronase on electrical characteristics.

Passive electrical characteristics of perfused squid axon membrane are investigated. In a previous publication, we reported that the capacitance of intact squid axon membrane is partly frequency dependent. We extended the same measurement to perfused axons. We found that the electrical characteristics of perfused axon membrane are essentially the same as those of intact axons. In this work, we investigated the effects of phospholipase A and pronase on the membrane capacitance. Phospholipase A is known to block the sodium activation and pronase to eliminate the sodium inactivation. Phospholipase A is found to increase the frequency dependent as well as the frequency independent capacitances. Our tentative conclusion is that this enzyme perturbs the lipid structure and decreases its thickness. Pronase is found to increase the frequency dependent capacitance slightly while the capacitance of the lipid layer remains unaltered. Although voltage clamp data indicate that the pronase disrupts the excitatory mechanism extensively, this enzyme has relatively little effect on the overall membrane capacitance.     

Ultrastructural localization of glucose-6-phosphatase activity in proximal convoluted tubule cells of rat kidney

Summary The ultrastructural localization of glucose 6-phosphatase activity was investigated in the proximal convoluted tubule cells of the rat kidney. The reaction product for the enzyme activity was present in the endoplasmic reticulum and nuclear envelope, as reported for the hepatic enzyme and others, but was absent from the brush border, plasma membrane and other organelles. The metabolic significance of the association of this enzyme with the endoplasmic reticulum and the role of the enzyme in the active reabsorption and transport of glucose in the renal tubules are discussed.     

Delta pH, H+ diffusion potentials, and Mg2+ ATPase in neurosecretory vesicles isolated from bovine neurohypophyses

The proton gradient (delta pH) and electrical potential (delta psi) across the neurosecretory vesicles were measured using the optical probes 9-aminoacridine and Oxanol VI, respectively. The addition of neurosecretory vesicles to 9-aminoacridine resulted in a rapid quenching of the dye fluorescence which was reversed when the delta pH was collapsed with ammonium chloride or K+ in the presence of nigericin. From fluorescence quenching data and the intravesicular volume, delta pH across the membrane was calculated. Mg2+ ATP caused a marked carbonyl cyanide p-trifluoromethoxyphenylhydrazone-sensitive change in the membrane potential measured using Oxanol VI (plus 100 mV inside positive), presumably due to H+ translocation across the neurosecretory vesicle membrane. Imposition of this membrane potential was responsible for the lysis of vesicles in the presence of permeant anions. The effectiveness of these anions to support lysis reflected the relative permeability of the anion which followed the order acetate greater than I- greater than Cl greater than F- greater than SO4- = isethionate = methyl sulfate. These data showed that the neurosecretory vesicles possess a membrane H+-translocating system and prompted the study of Mg2+-dependent ATPase activities in the vesicle fractions. In intact vesicles a Mg2+ ATPase appeared to be coupled to electrogenic proton translocation, since the enzyme activity was enhanced by uncoupling the electrical potential, using proton ionophores. Inhibition of this enzyme with dicyclohexylcarbodiimide also inhibited the carbonyl cyanide p-trifluoromethoxyphenylhydrazone-sensitive delta psi across the vesicle membrane caused by H+ translocation. A second Mg2+ ATPase was also found on the vesicle membranes which is sensitive to vanadate. Complete inhibition of this enzyme with vanadate had little effect on the proton ionophore-uncoupled ATPase activity or on the Mg2+ ATP-induced membrane potential change.     

Kinetic model of the effects of electrogenic enzymes on the membrane potential

Electrogenic enzymes contribute to the electrical field existing across biological membranes by using a source of free energy to generate an ionic current. The model introduced here permits one to evaluate this contribution. Since the model incorporates the electrogenic enzyme in the form of a sequential kinetic diagram, it permits one to study the kinetic effects of the concentration of the enzyme, the substrates and the different ligands on the membrane potential. Ionic electrodiffusion is expressed in terms of a chemical reaction; ionic permeabilities are thus treated as voltage-dependent rate constants. We use the condition of global electroneutrality to obtain an expression for the electrical potential difference across the membrane; such expression constitutes an extension of the Goldman-Hodgkin-Katz equation. The enzyme-related terms appear in the equation as functions of the rate constants and the diverse concentrations. The model is used to analyze the case of a cell membrane traversed by Na+ and K+ by simple diffusion, and by electrogenic transport mediated by a Na+-K+ ATPase. The enzyme reaction is represented by the six-step scheme proposed by Chapman et al. (1983, J. membr. Biol. 74, 139-153). The main results of the numerical calculations are that, within a certain interval, the membrane potential difference depends linearly on the enzyme density and hyperbolically on the ATP concentration. A similar behavior has been experimentally observed for the electrogenic proton pump of Neurospora crassa. Thus, the model here can be useful in the explanation and prediction of effects of electrogenic enzymes on the membrane potential.