Binding constants of Li+, K+, and Tl+ in the gramicidin channel determined from water permeability measurements.

In an open circuit there can be no net cation flux through membranes containing only cation-selective channels, because electroneutrality must be maintained. If the channels are so narrow that water and cations cannot pass by each other, then the net water flux through those "single-file" channels that contain a cation is zero. It is therefore possible to determine the cation binding constants from the decrease in the average water permeability per channel as the cation concentration in the solution is increased. Three different methods were used to determine the osmotic water permeability of gramicidin channels in lipid bilayer membranes. The osmotic water permeability coefficient per gramicidin channel in the absence of cations was found to be 6 x 10(-14) cm3/s. As the cation concentration was raised, the water permeability decreased and a binding constant was determined from a quantitative fit to the data. When the data were fitted assuming a maximum of one ion per channel, the dissociation constant was 115 mM for Li+, 69 mM for K+, and 2 mM for Tl+.     

Water permeability of gramicidin A-treated lipid bilayer membranes

In membranes containing aqueous pores (channels), the osmotic water permeability coefficient, P f, is greater than the diffusive water permeability coefficient, P d. In fact, the magnitude of P f/P d is commonly used to determine pore radius. Although, for membranes studied to date, P f/P d monotonically declines with decreasing pore radius, there is controversy over the value it theoretically assumes when that radius is so small that water molecules cannot overtake one another within the channel (single-file transport). In one view it should equal 1, and in another view it should equal N, the number of water molecules in the pore. Gramicidin A forms, in lipid bilayer membranes, narrow aqueous channels through which single-file transport may occur. For these channels we find that P f/P d approximately 5. In contrast, for the wider nystatin and amphotericin B pores, P f/P d approximately 3. These findings offer experimental support for the view that P f/P d = N for single-file transport, and we therefore conclude that there are approximately five water molecules in a gramicidin A channel. A similar conclusion was reached independently from streaming potential data. Using single-channel conductance data, we calculate the water permeability of an individual gramicidin A channel. In the Appendix we report that there is a wide range of channel sizes and lifetimes in cholesterol-containing membranes.     

Determinants of Water Permeability through Nanoscopic Hydrophilic Channels

Naturally occurring pores show a variety of polarities and sizes that are presumably directly linked to their biological function. Many biological channels are selective toward permeants similar or smaller in size than water molecules, and therefore their pores operate in the regime of single-file water pores. Intrinsic factors affecting water permeability through such pores include the channel-membrane match, the structural stability of the channel, the channel geometry and channel-water affinity. We present an extensive molecular dynamics study on the role of the channel geometry and polarity on the water osmotic and diffusive permeability coefficients. We show that the polarity of the naturally occurring peptidic channels is close to optimal for water permeation, and that the water mobility for a wide range of channel polarities is essentially length independent. By systematically varying the geometry and polarity of model hydrophilic pores, based on the fold of gramicidin A, the water density, occupancy, and permeability are studied. Our focus is on the characterization of the transition between different permeation regimes in terms of the structure of water in the pores, the average pore occupancy and the dynamics of the permeating water molecules. We show that a general relationship between osmotic and diffusive water permeability coefficients in the single-file regime accounts for the time averaged pore occupancy, and that the dynamics of the permeating water molecules through narrow non single file channels effectively behaves like independent single-file columns.     

Design of Peptide-Membrane Interactions to Modulate Single-File Water Transport through Modified Gramicidin Channels

Water permeability through single-file channels is affected by intrinsic factors such as their size and polarity and by external determinants like their lipid environment in the membrane. Previous computational studies revealed that the obstruction of the channel by lipid headgroups can be long-lived, in the range of nanoseconds, and that pore-length-matching membrane mimetics could speed up water permeability. To test the hypothesis of lipid-channel interactions modulating channel permeability, we designed different gramicidin A derivatives with attached acyl chains. By combining extensive molecular-dynamics simulations and single-channel water permeation measurements, we show that by tuning lipid-channel interactions, these modifications reduce the presence of lipid headgroups in the pore, which leads to a clear and selective increase in their water permeability.     

Properties of gramicidin A channels in erythrocyte membranes

Studies for the cation permeability properties of the gramicidin A channel in erythrocyte membranes are presented. It is shown that gramicidin A interacts with the membrane in a cooperative manner, creating aggregates of the antibiotic molecules in the lipid lattice of the membrane. Cationic channels exist in these aggregates with the following order of selectivity: Rb+ greater than Cs+ greater K+ greater than Na+. The cation permeability of the channels depends on the media surrounding the membrane. This finding has been explained on the basis of Hodgkin-Keynes theory for single-file ion diffusion through extra-narrow pores.     

Proton conduction in gramicidin A and in its dioxolane-linked dimer in different lipid bilayers.

Gramicidin A (gA) molecules were covalently linked with a dioxolane ring. Dioxolane-linked gA dimers formed ion channels, selective for monovalent cations, in planar lipid bilayers. The main goal of this study was to compare the functional single ion channel properties of natural gA and its covalently linked dimer in two different lipid bilayers and HCl concentrations (10-8000 mM). Two ion channels with different gating and conductance properties were identified in bilayers from the product of dimerization reaction. The most commonly observed and most stable gramicidin A dimer is the main object of this study. This gramicidin dimer remained in the open state most of the time, with brief closing flickers (tau(closed) approximately 30 micros). The frequency of closing flickers increased with transmembrane potential, making the mean open time moderately voltage dependent (tau(open) changed approximately 1.43-fold/100 mV). Such gating behavior is markedly different from what is seen in natural gA channels. In PEPC (phosphatidylethanolamine-phosphatidylcholine) bilayers, single-channel current-voltage relationships had an ohmic behavior at low voltages, and a marked sublinearity at relatively higher voltages. This behavior contrasts with what was previously described in GMO (glycerylmonooleate) bilayers. In PEPC bilayers, the linear conductance of single-channel proton currents at different proton concentrations was essentially the same for both natural and gA dimers. g(max) and K(D), obtained from fitting experimental points to a Langmuir adsorption isotherm, were approximately 1500 pS and 300 mM, respectively, for both the natural gA and its dimer. In GMO bilayers, however, proton affinities of gA and the dioxolane-dimer were significantly lower (K(D) of approximately 1 and 1.5 M, respectively), and the g(max) higher (approximately 1750 and 2150 pS, respectively) than in PEPC bilayers. Furthermore, the relationship between single-channel conductance and proton concentration was linear at low bulk concentrations of H+ (0.01-2 M) and saturated at concentrations of more than 3 M. It is concluded that 1) The mobility of protons in gramicidin A channels in different lipid bilayers is remarkably similar to proton mobilities in aqueous solutions. In particular, at high concentrations of HCl, proton mobilities in gramicidin A channel and in solution differ by only 25%. 2) Differences between proton conductances in gramicidin A channels in GMO and PEPC cannot be explained by surface charge effects on PEPC membranes. It is proposed that protonated phospholipids adjacent to the mouth of the pore act as an additional source of protons for conduction through gA channels in relation to GMO bilayers. 3) Some experimental results cannot be reconciled with simple alterations in access resistance to proton flow in gA channels. Said differences could be explained if the structure and/or dynamics of water molecules inside gramicidin A channels is modulated by the lipid environment and by modifications in the structure of gA channels. 4) The dioxolane ring is probably responsible for the closing flickers seen in the dimer channel. However, other factors can also influence closing flickers.     

Interaction of ions and water in gramicidin A channels: streaming potentials across lipid bilayer membranes

For very narrow channels in which ions and water cannot overtake one another (single-file transport), electrokinetic measurements provide information about the number of water molecules within a channel. Gramicidin A is believed to form such narrow channels in lipid bilayer membranes. In 0.01 and 0.1 M solutions of CsCl, KCL, and NaCl, streaming potentials of 3.0 mV per osmolal osmotic pressure difference (created by urea, glycerol, or glucose) appear across gramicidin A-treated membranes. This implies that there are six to seven water molecules within a gramicidin channel. Electroosmotic experiments, in which the water flux assoicated with current flow across gramicidin-treated membranes is measured, corroborate this result. In 1 M salt solutions, streaming potentials are 2.35 mV per osmolal osmotic pressure difference instead of 3.0 mV. The smaller value may indicate multiple ion occupancy of the gramicidin channel at high salt concentrations. Apparent deviations from ideal cationic selectivity observed while attempting to measure single-salt dilution potentials across gramicidin-treated membranes result from streaming potential effects.     

Single-channel water permeabilities of Escherichia coli aquaporins AqpZ and GlpF

From equilibrium molecular dynamics simulations we have determined single-channel water permeabilities for Escherichia coli aquaporin Z (AqpZ) and aquaglyceroporin GlpF with the channels embedded in lipid bilayers. GlpF's osmotic water permeability constant pf exceeds by 2-3 times that of AqpZ and the diffusive permeability constant (pd) of GlpF is found to exceed that of AqpZ 2-9-fold. Achieving complete water selectivity in AqpZ consequently implies lower transport rates overall relative to the less selective, wider channel of GlpF. For AqpZ, the ratio pf/pd congruent with 12 is close to the average number of water molecules in the channel lumen, whereas for GlpF, pf/pd congruent with 4. This implies that single-file structure of the luminal water is more pronounced for AqpZ, the narrower channel of the two. Electrostatics profiles across the pore lumens reveal that AqpZ significantly reinforces water-channel interactions, and weaker water-water interactions in turn suppress water-water correlations relative to GlpF. Consequently, suppressed water-water correlations across the narrow selectivity filter become a key structural determinant for water permeation causing luminal water to permeate slower across AqpZ.     

Structure and dynamics of a proton wire: a theoretical study of H+ translocation along the single-file water chain in the gramicidin A channel.

The rapid translocation of H+ along a chain of hydrogen-bonded water molecules, or proton wire, is thought to be an important mechanism for proton permeation through transmembrane channels. Computer simulations are used to study the properties of the proton wire formed by the single-file waters in the gramicidin A channel. The model includes the polypeptidic dimer, with 22 water molecules and one excess proton. The dissociation of the water molecules is taken into account by the "polarization model" of Stillinger and co-workers. The importance of quantum effects due to the light mass of the hydrogen nuclei is examined with the use of discretized Feynman path integral molecular dynamics simulations. Results show that the presence of an excess proton in the pore orients the single-file water molecules and affects the geometry of water-water hydrogen bonding interactions. Rather than a well-defined hydronium ion OH3+ in the single-file region, the protonated species is characterized by a strong hydrogen bond resembling that of O2H5+. The quantum dispersion of protons has a small but significant effect on the equilibrium structure of the hydrogen-bonded water chain. During classical trajectories, proton transfer between consecutive water molecules is a very fast spontaneous process that takes place in the subpicosecond time scale. The translocation along extended regions of the chain takes place neither via a totally concerted mechanism in which the donor-acceptor pattern would flip over the entire chain in a single step, nor via a succession of incoherent hops between well-defined intermediates. Rather, proton transfer in the wire is a semicollective process that results from the subtle interplay of rapid hydrogen-bond length fluctuations along the water chain. These rapid structural fluctuations of the protonated single file of waters around an average position and the slow movements of the average position of the excess proton along the channel axis occur on two very different time scales. Ultimately, it is the slow reorganization of hydrogen bonds between single-file water molecules and channel backbone carbonyl groups that, by affecting the connectivity and the dynamics of the single-file water chain, also limits the translocation of the proton across the pore.     

Proton conductance by the gramicidin water wire. Model for proton conductance in the F1F0 ATPases?

The gramicidin channel contains a single strand of water molecules associated through hydrogen bonds. Previous work has shown that channels of similar size are formed by association of transmembrane alpha helices of synthetic leucine-serine peptides. Both types of channels translocate protons with considerable selectivity relative to other cations, and it has been proposed that the selectivity arises by proton "hopping" along hydrogen-bonded chains of water, whereas other cations must cross by ordinary diffusion processes. It is possible that a similar mechanism underlies proton transport in the Fo subunit of the F1F0 ATP synthase. Using the gramicidin channel as a model, we have tested whether a single strand of water is kinetically competent to translocate protons at a rate sufficient to support known rates of ATP synthesis. We found that the gramicidin channel saturates at approximately 530 pS of protonic current in 4 M HCl, more than sufficient for typical ATP synthesis rates. It follows that proton diffusion to a putative channel in Fo, rather than the channel itself, may limit ATP synthesis rates.     

The divalent cation-binding sites of gramicidin A transmembrane ion-channel.

The conductance of the gramicidin A single channels in glycerolmonooleate membranes is strongly reduced in the presence of Mn2+ cations. The nmr experiments were performed for N-terminal to N-terminal gramicidin A dimer formed by two right-handed single-stranded helixes incorporated into the sodium dodecyl sulfate micelles in the presence of Mn2+ ions. Dependence of the nonselective spin-lattice relaxation rates of the gramicidin A protons on Mn2+ concentration was analyzed to determine coordinates of the divalent cation binding sites. It is inferred that Mn2+ ions are bound at the channel mouths at distances of 6.4, 8.6, and 8.8 A (+/- 2 A) from the oxygen atoms of exposed carbonyl groups of D-Leu 12, 14, and 10, respectively. The bounded Mn2+ retains its hydrate shell, the size of which (approximately 6 A) exceeds the inner pore diameter (approximately 4 A). That makes the gramicidin A channel impermeable for divalent cations.     

Solvent drag across gramicidin channels demonstrated by microelectrodes

The competition of ion and water fluxes across gramicidin channels was assessed from the concentration distributions of both pore-impermeable and -permeable cations that were simultaneously measured by double-barreled microelectrodes in the immediate vicinity of a planar bilayer. Because water movement across the membrane led to accumulation of solutes on one side of the membrane and depletion on the other, the permeable cation was not only pushed by water across the channel (true solvent drag); it also flowed along its concentration gradient (pseudo-solvent drag). For the demonstration of true solvent drag, a difference between the bulk concentrations on the hypertonic and the hypotonic sides of the membrane was established. It was adjusted to get equal cation concentrations at both membrane/water interfaces. From the sodium and potassium fluxes measured along with membrane conductivity under these conditions, approximately five water molecules were found to be transported simultaneously with one ion through the channel. In diphytanoyl phosphatidylcholine membranes, a single-channel hydraulic permeability coefficient of 1.6 x 10(-14) cm(3) s(-1) was obtained.     

Water transport and ion-water interaction in the gramicidin channel

The diffuse permeability and the diffusion coefficient of water (Dw) in the gramicidin channel is determined from the osmotic water permeability of the channel and "single file" pore theory. Dw is about 7% of the self-diffusion coefficient of bulk water. The diffusion coefficient of a single water molecule alone in the channel is also determined and is about equal to the value in bulk water. This provides an estimate of the mobility of water on the channel walls in the absence of water-water interaction. Since the gramicidin channel walls should be representative of uncharged polar protein surfaces, this result provides direct evidence that the presence of a cation in the channel reduces the hydraulic water permeability by a factor ranging from 60 for Tl+ to 5 for Na+. The diffusion coefficient of a cation (Dc) in the channel is estimated and compared with Dw. For Na+ it is found that Dc approximately equal to Dw, which implies that the movement of the row of water molecules through the channel determines the local mobility of Na+. Thus, it seems that short range ion-wall interactions are not important in determining the channel conductance for Na+. In contrast, for Li+, local ion-wall interactions probably do limit the conductance.     

Mechanism of uncoupling of oxidative phosphorylation by gramicidin

The mechanism of the uncoupling of oxidative phosphorylation in rat liver mitochondria by gramicidin and truncated gramicidin derivatives was investigated. The derivatives desformylgramicidin and des(formylvalyl)gramicidin are not expected to form head to head, dimeric, ion-conducting channels, and thus allow an evaluation of the relevance of the stimulation of transmembrane cation conductance (and the resulting collapse of the proton electrochemical gradient) to the uncoupling of oxidative phosphorylation. When assayed for the enhancement of the passive diffusion of KSCN, gramicidin was 100-fold more potent than desformylgramicidin and 50-fold more potent than des(formylvalyl)gramicidin. Yet, in a medium devoid of alkalai cations, all three compounds were nearly equally potent uncouplers at low concentrations. Moreover, this uncoupling was not associated with stimulation of cation transport or a reduction of the magnitude of the proton electrochemical potential. In the same medium, gramicidin stimulated 86Rb uptake 50-fold more than desformylgramicidin and 10 times more than des(formylvalyl)gramicidin. At higher concentrations, gramicidin induced further uncoupling, which was associated with reduction of membrane potential (and presumably with transport of alkali cations), while the truncated derivatives were considerably less effective than gramicidin in this range. Thus, with the truncated derivatives, a better separation between decoupling (i.e., uncoupling not associated with reduction of delta mu H) and uncoupling is observed. In the same medium, gramicidin, but not the truncated derivatives, strongly inhibits the formation of both the membrane potential and delta pH by the H+-ATPase. This finding suggests direct interaction of gramicidin with the H+-ATPase. The truncated derivatives stimulated the ATPase without collapsing the membrane potential.(ABSTRACT TRUNCATED AT 250 WORDS)     

The equivalence of fluctuation analysis and chemical relaxation measurements: a kinetic study of ion pore formation in thin lipid membranes

(1) Autocorrelation measurements were made of the current fluctuations due to ion-conducting channels produced by gramicidin A in black lipid membranes. (2) Relaxation experiments using a voltage jump were made on the same system. (3) Reciprocal time constants were determined by both methods over a 10⁸ fold range in membrane conductivity. starting from the single channel level. (4) The mean squared amplitudes of the fluctuations were determined from the autocorrelation functions. (5) The data were tentatively rationalized on the basis of a hypothetical dimerization reaction, assuming that gramicidin A dimers form conducting channels. The same forward rate constants are obtained, via (3), by both methods (1) and (2). The backward rate constant agrees excellently with direct measurements of the mean life time of a conducting channel. (6) The unit channel conductance and - assuming again a dimerization - the equilibrium constant can be obtained from the fluctuation amplitude distribution.     

The Properties of Ion Channels Formed in Bilayer Lipid Membranes by Amphotericin and N-Methyl Derivative of Amphotericin under Their Action on One Side

It was found that the modification of one side of lipid membranes by amphotericin B and N?methyl derivatives of amphotericin B (methamphocin) resulted in a discrete increase in the membrane conductivity by the channel mechanism. The conditions under which amphotericin B increased the conductivity of membranes upon addition on one side of the membranes were found. The effect of amphotericin B upon addition on one side of the membranes was observed in an acidic medium (pH 3.0) and at a two-fold lower concentration of phospholipids in the membrane-forming solution. A large dispersion of the conductivity from 2 to 20 pS of single channels was revealed. The channels with the conductivity of 10 pS were most likely to occur. The histogram of distribution of the conductivity of metamphocin channels showed that the channels with the conductivity of 5 pS were most likely to occur. The selective permeability of membranes upon addition of methamphocin on one side of the membranes was predominantly anionic and did not depend on the concentration of cholesterol in the membranes. The mechanism of the amphotericin B and methamphocin action from one side of the membranes was due to the formation of semipores in the membranes, which were asymmetric in their structure. It was assumed that the selective permeability of the amphotericin and metamphocin channels was determined by the molecular structure of the hydrophilic chain that lines the inner cavity of the semipore.

     

Structure and dynamics of ion transport through gramicidin A.

Molecular dynamics calculations in which all atoms were allowed to move were performed on a water-filled ion channel of the polypeptide dimer gramicidin A (approximately 600 atoms total) in the head-to-head Urry model conformation. Comparisons were made among nine simulations in which four different ions (lithium, sodium, potassium, and cesium) were each placed at two different locations in the channel as well as a reference simulation with only water present. Each simulation lasted for 5 ps and was carried out at approximately 300 K. The structure and dynamics of the peptide and interior waters were found to depend strongly on the ion tested and upon its location along the pore. Speculations on the solution and diffusion of ions in gramicidin are offered based on the observations in our model that smaller ions tended to lie off axis and to distort the positions of the carbonyl oxygens more to achieve proper solvation and that the monomer-monomer junction was more distortable than the center of the monomer. With the potential energy surface used, the unique properties of the linear chain of interior water molecules were found to be important for optimal solvation of the various ions. Strongly correlated motions persisting over 25 A among the waters in the interior single-file column were observed.     

Stimulation of cation transport in mitochondria by gramicidin and truncated derivatives

Gramicidin and the truncated derivatives desformylgramicidin (desfor) and des(formylvalyl)gramicidin (desval) stimulate monovalent cation transport in rat liver mitochondria. Cation fluxes were compared indirectly from the effect of cations on the membrane potential at steady state (state 4) or from the associated stimulation of electron transport. Rb+ transport was measured directly from the uptake of 86Rb. The truncated gramicidins show enhanced selectivity for K+ and Rb+ when compared to gramicidin. Moreover, the pattern of selectivity within the alkali cation series is altered, i.e., Rb+ greater than K+ greater than Cs+ greater than Na+ greater than Li+ for desfor and desval as compared to Cs+ greater than Rb+ greater than K+ = Na+ greater than Li+ for gramicidin. The cation fluxes through the truncated derivatives are more strongly dependent on the cation concentration. The presence of high concentrations of permeating cation enhances the transport of other cations through the truncated derivative channels, suggesting that cations are required for stabilizing the channel structure. In high concentrations of KCl, desfor and desval are nearly as effective as gramicidin in collapsing the mitochondrial membrane potential, and, consequently, in the uncoupling of oxidative phosphorylation and enhancement of ATP hydrolysis. Preliminary experiments with liposomes show that 86Rb exchange is stimulated by desfor and desval almost to the same extent as gramicidin. These results strongly suggest that the truncated gramicidins form a novel conducting channel which differs from the gramicidin head-to-head, single-stranded beta 6.3-helical dimer ("channel") in its conductance characteristic and its structure.(ABSTRACT TRUNCATED AT 250 WORDS)     

Simulation study of a gramicidin/lipid bilayer system in excess water and lipid. II. Rates and mechanisms of water transport

A gramicidin channel in a fluid phase DMPC bilayer with excess lipid and water has been simulated. By use of the formal correspondence between diffusion and random walk, a permeability for water through the channel was calculated, and was found to agree closely with the experimental results of Rosenberg and Finkelstein (Rosenberg, P.A., and A. Finkelstein. 1978. J. Gen. Physiol. 72:327-340; 341-350) for permeation of water through gramicidin in a phospholipid membrane. By using fluctuation analysis, components of resistance to permeation were computed for movement through the channel interior, for the transition step at the channel mouth where the water molecule solvation environment changes, and for the process of diffusion up to the channel mouth. The majority of the resistance to permeation appears to occur in the transition step at the channel mouth. A significant amount is also due to structurally based free energy barriers within the channel. Only small amounts are due to local friction within the channel or to diffusive resistance for approaching the channel mouth.     

Study of interaction between cation fluxes in gramicidin A-modified bilayer phospholipid membranes. Determination of the number of ion-binding sites and their position in the gramicidin channel

Simultaneous studies were carried out of isotope and electric parameters of spheric bilayer membranes modified with gramicidin A and its analog O-pyromellithylgramicidin (PG) having three negative charges on the N-end of the molecule. The relationship between the electric coefficients of permeability and the isotope ones PG/P* = n was determined by two independent methods. It has been found that for the membranes modified with gramicidin A in RbCl concentrations from 2.2 x 10(-3) to 10(-1) M the value n is constant and approximates 2 and with RbCl concentration 1 M, n = 1.6. For the membranes modified with PG in 0.1 M solutions of PbCl n = 2. The results obtained in terms of the model of unilinear ion diffusion in a narrow pore indicate that in a gramicidin channel there are two sites of cation binding which are located near the channel mouth.