Bacteriorhodopsin in liposomes. II. Experimental evidence in support of a theoretical model.

In the preceding article equations describing relevant ion flows in illuminated suspensions of bacteriorhodopsin liposomes have been derived. Here these equations are subjected to experimental tests. Changes in permeability characteristics of the liposomal membrane are brought about by addition of specific ionophores and change of medium composition. Using light-driven proton uptake and electrochemical potential differences for protons across the membrane as observation parameters, ridig attempts to falsify the derived equations are unsuccessful. Agreement between equations and experimental results is established on the point of: (i) the antagonistic effect of valinomycin and nigericin on the two components of the proton-motive force, (ii) the time dependence of the changes in transmembrane electrical and chemical potential differences after the onset of illumination. In three independent experimental systems evidence was obtained for the correctness of the postulated dependence of the turnover rate of the photochemical cycle on back pressure by the transmembrane electrochemical potential difference for protons.     

A protonmotive force as the source of energy for galactoside transport in energy depleted Escherichia coli.

An artificially produced electrochemical potential difference for protons (portonmotive force) provided the energy for the transport of galactosides in Escherichia coli cells which were depleted of their endogenous energy reserves. The driving force for the entry of protons was provided by either a transmembrane pH gradient or a membrane potential. The pH gradient across the membrane was created by acidifying the external medium. The membrane potential (inside negative) was established by the outward diffusion of potassium (in the presence of valinomycin) or by the inward diffusion of the permeant thiocyanate ion. The magnitude of the electrochemical potential difference for protons agreed well with magnitude of the chemical potential difference of the lactose analog, thiomethylgalactoside. The observations are consistent with the view that the carrier-mediated entry of each galactoside molecule is accompanied by the entry of one proton.     

The flux-force relations across complex membranes with active transport

Equations are derived for the total material flux, and the total electric current flux, across a complex membrane system with active transport. The equations describe the fluxes as linear functions of forces across the system, and specifically of electrical potential, hydrostatic pressure, chemical potentials, and active transport rates. The equations can be simplified for experimental studies by making one or more of the forces equal to zero. The osmotic pressure difference across a membrane system is shown to be a function of the electrical potential and chemical potential differences and of the active transport rates. The transmembrane potential is shown to be the sum of a diffusion potential and an active transport potential. A simple equation is derived describing the current across a membrane as a linear function of the electrical potential and the active transport rate. Specific examples of the application of the equations to nerve membrane potentials are considered.     

Protonmotive force and catecholamine transport in isolated chromaffin granules.

The effect of the transmembrane potential (delta psi) and the proton concentration gradient (delta pH) across the chromaffin granule membrane upon the rate and extent of catecholamine accumulation was studied in isolated bovine chromaffin granules. Freshly isolated chromaffin granules had an intragranular pH of 5.5 as measured by [14C]methylamine distribution. The addition of ATP to a suspension of granules resulted in the generation of a membrane potential, positive inside, as measured by [14C]thiocyanate (SCN-) distribution. The addition of carboxyl cyanide p-trifluoromethoxyphenylhydrazone (FCCP), a proton translocator, resulted in a reversal of the potential to negative values (measured by [3H]tetramethylphenylphosphonium (TPMP+)) approaching -90 mV. Changing the external pH of a granular suspension incubated with FCCP produced a linear perturbation in the measured potential from positive to negative values, which can be explained by the distribution of protons according to their electrochemical gradient. When ammonia (1 to 50 mM) was added to highly buffered suspensions of chromaffin granules there was a dose-dependent decrease in the transmembrane proton gradient (delta pH) and an increase in the membrane potential (delta psi). On the other hand, thiocyanate or FCCP, at varying concentration, produced a dose-related collapse of the membrane potential and had no effect upon the transmembrane proton gradient. The addition of larger concentrations of catecholamines caused a decrease in the transmembrane proton gradient and an increase in the membrane potential. Time-resolved influx of catecholamines into the granules was studied radiochemically using low external catecholamine concentrations. The accumulation of epinephrine or norepinephrine was over one order of magnitude greater in the presence of ATP than in its absence. The rate and extent of amine accumulation was found to be related to the magnitude of the membrane potential at fixed transmembrane proton concentration (delta pH) values. Likewise, the accumulation was related to the magnitude of the delta pH at fixed membrane potential values. These results suggest that the existence of both a transmembrane proton gradient and a membrane potential are required for optimal catecholamine accumulation to occur.     

Nigericin-induced charge transfer across membranes.

The electric properties of the bilayer lecithin membranes have been studied in the presence of the antibiotic nigericin. When the antibiotic concentration is about 10(-7) ohm-1 cm-2. The potassium ion concentration gradient gives rise to a transmembrane potential of the order of 40 mV per 10-fold concentration gradient with the side of the higher potassium concentration negative. The transmembrane potential produced by the hydrogen ion concentration gradient is a function of the potassium ion concentration which is equal on both sides of the membrane. For low potassium ion concentrations the hydrogen potential has the expected polarity with the solution having higher concentration of protons negative. For potassium ion concentrations exceeding 0.03 M the hydrogen potential has the reverse polarity. This unexpected result cannot be accounted for in terms of the available simple hypotheses about the charge transport mechanism for nigericin in BLM. In order to account for the experimental results obtained, a theoretical approach has been developed based on the assumption that charge is transported across the membrane by nigericin dimers. The theoretical predicitons are in satisfactory agreement with the experimental results. The model also yields some predictions which may be verified in future experiments.     

Electrical power fuels rotary ATP synthase

ATP synthesis by F-type ATP synthases consumes energy stored in a transmembrane electrochemical gradient of protons or sodium ions. The electric component of the ion motive force is crucial for ATP synthesis. Here, we incorporate recent results on structure and function of the F(0) domain and present a mechanism for torque generation with the fundamental nature of the membrane potential as driving force in the core.     

Membrane Potential and Proton Cotransport of Alanine and Phosphate as Affected by Permeant Weak Acids in Lemna gibba

The treatment of Lemna gibba plants with the weak acids (trimethylacetic acid and butyric acid), used as tools to decrease intracellular pH, induced a hyperpolarization of membrane potential, dependent on the concentration of the undissociated permeant form of the weak acid and on the value of the resting potential. Measurements were carried out both with `high potential' and `low potential' plants and the maximum values af acid induced hyperpolarizations were about 35 and 71 millivolts, respectively. Weak acids influenced also the transient light-dark membrane potential changes, typical for photosynthesizing material, suggesting a dependence of these changes on an acidification of cytoplasm. In the presence of the weak acids, the membrane depolarization induced by the cotransport of alanine and phosphate with protons was reduced; the maximum reduction (about 90%) was obtained with alanine during 2 millimolar trimethylacetic acid perfusion at pH 5. A strong inhibition of the uptake rates (up to 48% for [¹⁴C]alanine and 68% for ³²P-phosphate) was obtained in the presence of the weak acids, both by decreasing the pH of the medium and by increasing the concentration of the acid. In these experimental conditions, the ATP level and O₂ uptake rates did not change significantly. These results constitute good evidence that H⁺/solute cotransport in Lemna, already known to be dependent on the electrochemical potential difference for protons, is also strongly regulated by the cytoplasmic pH value.     

Anaerobic transport of serine and 2-aminoisobutyric acid by Staphylococcus epidermidis.

A membrane-bound ATPase detected in extracts of anaerobically grown Staphylococcus epidermidis was inhibited by a variety of compounds which inhibit ATPases in other organisms. Serine and 2-aminoisobutyric acid (AIB) were shown to enter the organism via the same transport system. The transport of AIB, the membrane potential and the transmembrane pH gradient were partially or completely abolished by the same inhibitors and also by uncoupling agents and lipid-soluble ions. It is proposed therefore that this ATPase generates and maintains an electrochemical gradient of protons across the cytoplasmic membrane of S. epidermidis capable of driving AIB uptake. Studies of AIB-induced proton movements suggested that AIB enters via a proton symport mechanism.     

Energization-induced redistribution of charge carriers near membranes

The electric field arising from proton pumping across a topologically closed biological membrane causes accumulation close to the membrane of ionic charges equivalent to the charge of the pumped protons, positive on the side towards which protons are pumped, negative on the other side. We shall call this the 'active surface charge'. We here use the Poisson-Boltzmann equation to evaluate the effects of zwitterionic buffer molecules and uncharged proteins in the aqueous phase bordering the membrane on the magnitude and ionic composition of the active surface charge. For the positive side of the membrane, the main results are: (1) If the membrane is freely accessible to bulk phase ions, pumped protons exchange with these ions, such that the active surface charge consists of salt cations. (2) If a significant fraction of the ions in bulk solution consists of buffer molecules, then some of the pumped protons will remain close to the membrane and constitute a major fraction of the active surface charge. (3) If a protein layer borders the membrane, a significant part of the transmembrane electric potential difference exists within that protein layer and protons inside this layer dominate the active surface charge. (4) On the negative side of the membrane the corresponding phenomena would occur. (5) All these effects are strictly dependent on the transmembrane electric potential difference arising from proton pumping and would come in addition to the well known effects of buffers and electrically charged proteins on the retention of scalar protons. (6) No additional proton diffusion barrier may be required to account for a deficit in number of protons observed in the aqueous bulk phase upon aeration-induced proton pumping.     

Energy transduction in the methanogen Methanococcus voltae is based on a sodium current.

We provide experimental support for the proposal that ATP production in Methanococcus voltae, a methanogenic member of the archaea, is based on an energetic system in which sodium ions, not protons, are the coupling ions. We show that when grown at a pH of 6.0, 7.1, or 8.2, M. voltae cells maintain a membrane potential of approximately -150 mV. The cells maintain a transmembrane pH gradient (pH(in) - pH(out)) of -0.1, -0.2, and -0.2, respectively, values not favorable to the inward movement of protons. The cells maintain a transmembrane sodium concentration gradient (sodium(out)/sodium(in)) of 1.2, 3.4, and 11.6, respectively. While the protonophore 3,3',4',5-tetrachlorosalicylanilide inhibits ATP formation in cells grown at pH 6.5, neither ATP formation nor growth is inhibited in cells grown in medium at pH 8.2. We show that when grown at pH 8.2, cells synthesize ATP in the absence of a favorably oriented proton motive force. Whether grown at pH 6.5 or pH 8.2, M. voltae extrudes Na+ via a primary pump whose activity does not depend on a proton motive force. The addition of protons to the cells leads to a harmaline-sensitive efflux of Na+ and vice versa, indicating the presence of Na+/H+ antiporter activity and, thus, a second mechanism for the translocation of Na+ across the cell membrane. M. voltae contains a membrane component that is immunologically related to the H(+)-translocating ATP synthase of the archaeabacterium Sulfolobus acidocaldarius. Since we demonstrated that ATP production can be driven by an artificially imposed membrane potential only in the presence of sodium ions, we propose that ATP production in M. voltae is mediated by an Na+-translocating ATP synthase whose function is coupled to a sodium motive force that is generated through a primary Na+ pump.     

Wolinella succinogenes quinol:fumarate reductase-2.2-A resolution crystal structure and the E-pathway hypothesis of coupled transmembrane proton and electron transfer

The structure of the respiratory membrane protein complex quinol:fumarate reductase (QFR) from Wolinella succinogenes has been determined by X-ray crystallography at 2.2-A resolution [Nature 402 (1999) 377]. Based on the structure of the three protein subunits A, B, and C and the arrangement of the six prosthetic groups (a covalently bound FAD, three iron-sulfur clusters, and two haem b groups), a pathway of electron transfer from the quinol-oxidising dihaem cytochrome b in the membrane to the site of fumarate reduction in the hydrophilic subunit A has been proposed. The structure of the membrane-integral dihaem cytochrome b reveals that all transmembrane helical segments are tilted with respect to the membrane normal. The "four-helix" dihaem binding motif is very different from other dihaem-binding transmembrane four-helix bundles, such as the "two-helix motif" of the cytochrome bc(1) complex and the "three-helix motif" of the formate dehydrogenase/hydrogenase group. The gamma-hydroxyl group of Ser C141 has an important role in stabilising a kink in transmembrane helix IV. By combining the results from site-directed mutagenesis, functional and electrochemical characterisation, and X-ray crystallography, a residue was identified which was found to be essential for menaquinol oxidation [Proc. Natl. Acad. Sci. U. S. A. 97 (2000) 13051]. The distal location of this residue in the structure indicates that the coupling of the oxidation of menaquinol to the reduction of fumarate in dihaem-containing succinate:quinone oxidoreductases could in principle be associated with the generation of a transmembrane electrochemical potential. However, it is suggested here that in W. succinogenes QFR, this electrogenic effect is counterbalanced by the transfer of two protons via a proton transfer pathway (the "E-pathway") in concert with the transfer of two electrons via the membrane-bound haem groups. According to this "E-pathway hypothesis", the net reaction catalysed by W. succinogenes QFR does not contribute directly to the generation of a transmembrane electrochemical potential.     

Surface-mediated proton-transfer reactions in membrane-bound proteins

As outlined by Peter Mitchell in the chemiosmotic theory, an intermediate in energy conversion in biological systems is a proton electrochemical potential difference ("proton gradient") across a membrane, generated by membrane-bound protein complexes. These protein complexes accommodate proton-transfer pathways through which protons are conducted. In this review, we focus specifically on the role of the protein-membrane surface and the surface-bulk water interface in the dynamics of proton delivery to these proton-transfer pathways. The general mechanisms are illustrated by experimental results from studies of bacterial photosynthetic reaction centres (RCs) and cytochrome c oxidase (CcO).     

Passive Membrane Potentials: A Generalization of the Theory of Electrotonus

The theory of electrotonus, which has been well developed for small cylinders, is extended: the fundamental potential equations for a membrane of arbitrary shape are derived, and solutions are found for cylindrical and spherical geometries. If two purely conductive media are separated by a resistance-capacitance membrane, then Laplace's equation describes the potential in either medium, and two boundary equations relate the transmembrane potential to applied currents and to currents flowing into the membrane from each medium. The core conductor model, on which most previous work on cylindrical electrotonus has been based, gives rise to a one dimensional diffusion equation, the cable equation, for the transmembrane potential in a small cylinder. Under the assumptions of the core conductor model the more general equations developed here are shown to reduce to the cable equation. The two theories agree well in predicting the transmembrane potential in a small cylinder owing to an applied current step, and the extracellular potential for this cylinder is estimated numerically from the general theory. A detailed proof is given for the isopotentiality of a spherical soma membrane.     

A Thermodynamic Analysis of Fluxes and Flux-Ratios in Biological Membranes

Flux and flux-ratio equations are derived on the basis of the phenomenological equations of irreversible thermodynamics. Deviations of flux-ratios from that given by the often quoted Ussing (1949) relation are predicted, even in the absence of active transport, by considering the dependence of coupled fluxes on the membrane potential. The treatment is extended to include the interpretation of fluxes measured with tracers. Estimation of the numerical values of the resistance coefficients show that the voltage dependence of the entrainment terms can adequately account for the departures from the Ussing relation and the discrepancies between isotopically and electrically measured membrane conductances.     

Energy transduction function of the quinone reactions in cytochrome bc complexes.

Cytochrome bc1, a multi-subunit integral membrane protein complex found in mammalian mitochondria, plays a central role in the transfer of electrons and protons generated by the oxidation of ubiquinol. According to the classical chemiosmotic theory, quinones shuttle protons across the hydrophobic membrane bilayer with the net result of H+ transfer to the aqueous side and generation of an electrochemical proton gradient. Recently, high-resolution structures of the mitochondrial bc1 complex showed quinone binding sites at one of the transmembrane helices of cytochrome b, and two potentially protonatable histidine residues on the Rieske iron-sulfur protein. The modern biochemical refinements of the original chemiosmotic theory require electron and proton transfer from quinones to particular residues/redox centers of integral membrane proteins and subsequent transfer of H+ to the bulk aqueous phase outside the membrane.     

Streptococcus faecalis proton gradients and tetracycline transport.

The transport of chlortetracycline by Streptococcus faecalis is energy dependent. Addition of glucose to energy-depleted cells enhances both the transport rates and accumulation levels. Transport rates can be altered independently of glucose by treating cells with ionophores that increase or decrease the proton gradient. The transport of the antibiotic is linked only to the transmembrane pH difference, delta pH, and not the transmembrane electrical potential, delta psi. This conclusion was verified by quantitative measurements of delta pH, delta psi, and tetracycline accumulation levels. A linear correlation between delta pH and the tetracycline electrochemical potential was observed. Tetracycline most likely accumulates by the symport of protons in which the protons are bound to an anionic form of the antibiotic to form an uncharged molecule.