Influence of ion occupancy and membrane deformation on gramicidin A channel stability in lipid membranes.

The average lifetime of gramicidin A channels in monoolein/decane bilayer membranes was measured. The results support the hypothesis of channel stabilization by ion occupancy. The effects of electric field and salt concentration are consistent with the expected effects on both occupancy and membrane compression. The lifetime in asymmetric solutions with divalent cation blockers on one side of the membrane shows a voltage dependence such that the lifetime decreases for positive voltages applied from the blocking side and increases for negative voltages. This result strongly supports the occupancy hypothesis. The lifetime increases with permeant ion concentration, and at the one molar level it also increases with voltage. The voltage dependence of lifetime for a low concentration of permeant ion depends on the total salt level. The results for these conditions are consistent with the assumption that membrane compression also influences the lifetime, even for the "soft" solvent-containing membrane considered here. It is proposed that the channel nearest neighbor lipids need not be fixed in a plane at the channel end. Using a liquid crystal model it may then be shown that surface tension is the major component of the membrane deformation free energy, which may explain the significant effects of the membrane compression on the lifetime.     

Orientation of gramicidin A transmembrane channel. Infrared dichroism study of gramicidin in vesicles.

Polarized infrared spectroscopy has been used to investigate the orientation of gramicidin A incorporated in dimyristoylphosphatidylcholine liposomes. Dichroism measurements of the major lipid (C = O ester, PO2-, CH2) and peptide (amide A, I, II) bands were performed on liposomes (with or without gramicidin) oriented by air-drying. The mean orientation of the lipid groups and of the pi LD helix chain in the gramicidin has been determined. It can be inferred from infrared frequencies of gramicidin that the dominant conformation of the peptide in liposomes cannot be identified to the antiparallel double-helical dimer found in organic solution. No shift in lipid frequencies was observed upon incorporation of gramicidin in the liposomes. However, a slight reorganization of the lipid hydrocarbon chains which become oriented more closely to the normal to the bilayer is evidenced by a change in the dichroism of the CH2 vibrations. The infrared dichroism results of gramicidin imply a perpendicular orientation of the gramicidin transmembrane channel with the pi LD helix axis at less than 15 degrees with respect to the normal to the bilayer.     

Comparison of gramicidin A and gramicidin M channel conductance dispersities

To explore the possible role of Trp side chains in gramicidin channel conductance dispersity, we studied the dispersity of gramicidin M (gM), a gramicidin variant in which all four tryptophan residues are replaced with phenylalanine residues, and its enantiomer, gramicidin M(-) (gM(-)), and compared them to that of gramicidin A (gA). The conductances of highly purified gM and gM(-) were studied in alkali metal solutions at a variety of concentrations and voltages, in seven different types of lipid, and in the presence of detergent. Like gA channels, the most common gM channel conductance forms a narrow band. However, unlike gA channels, where the remaining 5-30% of channel conductances are broadly distributed below (and slightly above) the main band, in gM there is a narrow secondary band with <50% of the main peak conductance. This secondary peak was prominent in NaCl and KCl, but significantly diminished in CsCl and RbCl. Under some conditions, minor components can be observed with conductances yet lower than the secondary peak. Interconversions between the primary conductance state and these yet lower conductance states were observed. The current-voltage relations for both primary and secondary gM channel types have about the same curvature. The mean lifetime of the secondary channel type is below one third that of the primary type. The variants represent state deviations in the peptide or adjacent lipid structure.     

Gravity dependency of the gramicidin A channel conductivity

Theoretical investigations involving the membrane-solution interface have revealed that the density of the solution varies appreciably within interfacial layers adjacent to charged membrane surfaces. The hypothesis that gravity interacts with this configuration and modifies transport rates across horizontal and vertical membranes differently was supported by initial experiments with gramicidin A channels in phosphatidylserine (PS) membranes in 0.1 M KCl. Channel conductivity was found to be about 1.6 times higher in horizontal membranes than in vertical membranes. Here we present the results of further experiments with gramicidin A channels (incorporated into charged PS- and uncharged phosphatidylcholine (PC) membranes in KCl- and CsCl-solutions) to demonstrate that the hypothesis is more generally applicable. Again, channel conductivity was found to be higher in horizontal PS membranes by a factor of between 1.20 and 1.75 in 0.1 M CsCl. No difference in channel conductivity was found for uncharged PC membranes in 0.1 M KCl and in 0.1 M CsCl. However, for PC membranes in 0.05 M KCl the channel conductivity was significantly higher in horizontal membranes by a factor of between 1.07 and 1.14. These results are consistent with the results of our model calculations of layer density and extension, which showed that the layer formation is enhanced by increasing membrane surface charge and decreasing electrolyte ion concentration. The mechanism of gravity interaction with membrane transport processes via interface reactions might be utilized by biological systems for orientational behaviour in the gravity field, which has been observed even for cellular systems. Received: 16 October 1995 / Accepted: 23 April 1996     

The structure of the gramicidin A transmembrane channel

Gramicidin A is a linear polypeptide antibiotic that facilitates the diffusion of monovalent cations across lipid bilayer membranes by forming channels. It has been proposed that the conducting channel is a dimer which is in equilibrium with nonconducting monomers in the membrane. To directly test this model in several independent ways, we have prepared and purified a series of gramicidin C derivatives. All of these derivatives are fully active analogs of gramicidin A, and each derivative has a useful chromophore esterified to the phenolic hydroxyl of tyrosine #11. Simultaneous conductance and fluorescence measurements on planar lipid bi-layer membranes containing dansyl gramicidin C yielded four conclusions: (1) A plot of the logarithm of the membrane conductance versus the logarithm of the membrane fluorescence had a slope of 2.0 ± 0.3, over a concentration range for which nearly all the gramicidin was monomeric. Hence, the active channel is a dimer of the nonconducting species. (2) In a membrane in which nearly all of the gramicidin was dimeric, the number of channels was approximately equal to the number of dimers. Thus, most dimers are active channels and so it should be feasible to carry out spectroscopic studies of the conformation of the transmembrane channel. (3) The association constant for dimerization is more than 1,000-fold larger in a glycerolester membrane with 26 Å-hydrocarbon thickness than in a 47 Å-glycerolester membrane. The dimerization constant in a 48 Å-phosphatidyl choline membrane was 200 times larger than in a 47 Å-glycerolester membrane, showing that it depends on the type of lipid as well as on the thickness of the hydrocarbon core. (4) We were readily able to detect 10^?14 mole cm^?2 of dansyl gramicidin C in a bilayer membrane, which corresponds to 60 fluorescent molecules per square μm. The fluorescent techniques described here should be sufficiently sensitive for fluorescence studies of reconstituted gates and receptors in planar bilayer membranes. An alternative method of determining the number of molecules of gramicidin in the channel is to measure the fraction of hybrid channels present in a mixture of 2 chemically different gramicidins. The single-channel conductance of p-phenylazo-benzene-sulfonyl ester gramicidin C (PABS gramicidin C) was found to be 0.68 that of gramicidin A. In membranes containing a mixture of these 2 gramicidins, a hybrid channel was evident in addition to 2 pure channels. The hybrid channel conductance was 0.82 that of gramicidin A. Fluorescence energy transfer from dansyl gramicidin C to diethylamino-phenylazobenzene-sulfonyl ester gramicidin C (DPBS gramicidin C), provided an independent way to measure the fraction of hybrid channels on liposomes. For both techniques the fraction of hybrid channels was found to be 2ad where a² and d² were the fractions of the 2 kinds of pure channels. This result strongly supports a dimer channel and the hybrid data excludes the possibility of a tetramer channel. The study of hybrid species by conductance and fluorescence techniques should be generally useful in elucidating the subunit structure of oligomeric assemblies in membranes. The various models which have been proposed for the conformation of the gramicidin transmembrane channel are briefly discussed.     

Electrostatic calculations for an ion channel. II. Kinetic behavior of the gramicidin A channel.

A theoretical model of the gramicidin A channel is presented and the kinetic behavior of the model is derived and compared with previous experimental results. The major assumption of the model is that the only interaction between ions in a multiply-occupied channel is electrostatic. The electrostatic calculations indicate in a multiply-occupied channel is electrostatic. The electrostatic calculations indicate that there will be potential wells at each end of the channel and, at high concentrations, that both wells can be occupied. The kinetics are based on two reaction steps: movement of the ion from the bulk solution to the well and movement between the two wells. The kinetics for this reaction rate approach are identical to those based on the Nernst-Planck equation in the limit where the movement between the two wells is rate limiting. The experimental results for sodium and potassium are consistent with a maximum of two ions per channel. To explain the thallium results it is necessary to allow three ions per channel. It is shown that this case is compatible with the electrostatic calculations if the presence of an anion is included. The theoretical kinetics are in reasonable quantitative agreement with the following experimental measurements: single channel conductance of sodium, potassium, and thallium; bi-ionic potential and permeability ratio between sodium-potassium and potassium-thallium; the limiting conductance of potassium and thallium at high applied voltages; current-voltage curves for sodium and potassium at low (but not high) concentrations; and the inhibition of sodium conductance by thallium. The results suggest that the potential well is located close to the channel mouth and that the conductance is partially limited by the rate going from the bulk solution to the well. For thallium, this entrance rate is probably diffusion limited.     

Modulating dipoles for structure-function correlations in the gramicidin A channel.

Dipoles of the tryptophan indole side chains have a direct impact on ion conductance in the gramicidin channel. Here, fluorination of the indoles (both 5- and 6-fluoro) is used to manipulate both the orientations and the magnitudes of the dipoles. The orientations and positions with respect to the channel axis were determined using (2)H solid state NMR of uniformly aligned lipid bilayer preparations. By exchange of the remaining four protons in the indole ring for deuterium, comparison could be made to d(5)-indole spectra that have previously been recorded for each of the four indoles of gramicidin A. After making the assignments which were aided by the observation of (19)F-(2)H dipolar interactions, we found that fluorination caused only minor changes in side chain conformation. With the high-resolution structural characterization of the fluorinated indoles in position 11, 13, and 15, the electrostatic interactions with a cation at the channel and bilayer center can be predicted and the influence of the modified dipoles on ion conductance estimated. The importance of the long-range electrostatic interaction was recently documented with the observation of alpha-helical dipoles oriented toward the bilayer center on the ion conductance pathway for the Streptomyces K(+) channel. We present direct measurements of the orientation of gramicidin channel F-Trp positions for use in analysis of dipole effects on channel permeation.     

Structure and dynamics of hydronium in the ion channel gramicidin A.

The effects of the hydronium ion, H(3)0+, on the structure of the ion channel gramicidin A and the hydrogen-bonded network of waters within the channel were studied to help elucidate a possible mechanism for proton transport through the channel. Several classical molecular dynamics studies were carried out with the hydronium in either the center of a gramicidin monomer or in the dimer junction. Structural reorganization of the channel backbone was observed for different hydronium positions, which were most apparent when the hydronium was within the monomer. In both cases the average O-O distance between the hydronium ion and its nearest neighbor water molecule was found to be approximately 2.55 A, indicating a rather strong hydrogen bond. Importantly, a subsequent break in the hydrogen-bonded network between the nearest neighbor and the next-nearest neighbor(approximately 2.7 -3.0 A) was repeatedly observed. Moreover, the carbonyl groups of gramicidin A were found to interact with the charge on the hydronium ion, helping in its stabilization. These facts may have significant implications for the proton hopping mechanism. The presence of the hydronium ion in the channel also inhibits to some degree the reorientational motions of the channel water molecules.     

Membrane surface-charge titration probed by gramicidin A channel conductance.

We manipulate lipid bilayer surface charge and gauge its influence on gramicidin A channel conductance by two strategies: titration of the lipid charge through bulk solution pH and dilution of a charged lipid by neutral. Using diphytanoyl phosphatidylserine (PS) bilayers with CsCl aqueous solutions, we show that the effects of lipid charge titration on channel conductance are masked 1) by conductance saturation with Cs+ ions in the neutral pH range and 2) by increased proton concentration when the bathing solution pH is less than 3. A smeared charge model permits us to separate different contributions to the channel conductance and to introduce a new method for "bilayer pKa" determination. We use the Gouy-Chapman expression for the charged surface potential to obtain equilibria of protons and cations with lipid charges. To calculate cation concentration at the channel mouth, we compare different models for the ion distribution, exact and linearized forms of the planar Poisson-Boltzmann equation, as well as the construction of a "Gibbs dividing surface" between salt bath and charged membrane. All approximations yield the intrinsic pKain of PS lipid in 0.1 M CsCl to be in the range 2.5-3.0. By diluting PS surface charge at a fixed pH with admixed neutral diphytanoyl phosphatidylcholine (PC), we obtain a conductance decrease in magnitude greater than expected from the electrostatic model. This observation is in accord with the different conductance saturation values for PS and PC lipids reported earlier (, Biochim. Biophys. Acta. 552:369-378) and verified in the present work for solvent-free membranes. In addition to electrostatic effects of surface charge, gramicidin A channel conductance is also influenced by lipid-dependent structural factors.     

Structure of the ion channel peptide antibiotic gramicidin A

The crystal structure of the uncomplexed orthorhombic form of gramicidin A has been determined at 0.86 A resolution. The polypeptide crystallizes from ethanol as a left-handed, double-stranded, antiparallel beta 5.6-helical dimer that is 31 A long and an average of 4.8 A in diameter. The uncomplexed channel does not contain ions or solvent molecules, and its diameter is not uniform but varies from a minimum of 3.85 A to a maximum of 5.47 A. There are three empty cavities in the channel that have a diameter exceeding 5.25 A and appear to be large enough to accommodate water molecules or potassium ions in a chemically reasonable coordination environment. The observed crystal structure does not offer any obvious clues as to why an antiparallel beta 5.6-helix cannot function as an ion channel in lipid bilayers.     

Modulation of gramicidin A open channel lifetime by ion occupancy.

The hypothesis that the gramicidin A channel stability depends on the level of ion occupancy of the channel was used to derive a mathematical model relating channel lifetime to channel occupancy. Eyring barrier permeation models were examined for their ability to fit the zero-voltage conductance, current-voltage, as well as lifetime data. The simplest permeation model required to explain the major features of the experimental data consists of three barriers and four sites (3B4S) with a maximum of two ions occupying the channel. The average lifetime of the channel was calculated from the barrier model by assuming the closing rate constant to be proportional to the probability of the internal channel sites being empty. The link between permeation and lifetime has as its single parameter the experimentally determined averaged lifetime of gramicidin A channels in the limit of infinitely dilute solutions and has therefore no adjustable parameters. This simple assumption that one or more ions inside the channel completely stabilize the dimer conformation is successful in explaining the experimental data considering the fact that this model for stabilization is independent of ion species and configurational occupancy. The model is used to examine, by comparison with experimental data, the asymmetrical voltage dependence of the lifetime in asymmetrical solutions, the effects of blockers, and the effects of elevated osmotic pressure.     

Interaction of K+ ion with the solvated gramicidin A transmembrane channel.

Using Urry's gramicidin A (GA) atomic coordinates and ab into calculations, the interaction energies of a K+ ion with GA are examined. From these energies the values of the fitting parameters are obtained for 6-12-1 atom-atom pair potentials. The potential of the GA channel as experienced by the ion is analyzed in detail. An energy profile of the K+ ion in the GA channel is obtained by analyzing iso-energy maps. Using Monte Carlo simulations, the energy profiles of the K+ ion with the solvated GA channel are analyzed and the hydration structures in the presence of the K+ ion are studied.     

Effects of volatile anesthetic on channel structure of gramicidin A

Volatile anesthetic agent, 1-chloro-1,2,2-trifluorocyclobutane (F3), was found to alter gramicidin A channel function by enhancing Na(+) transport (. Biophys. J. 77:739-746). Whether this functional change is associated with structural alternation is evaluated by circular dichroism and nuclear magnetic resonance spectroscopy. The circular dichroism and nuclear magnetic resonance results indicate that at low millimolar concentrations, 1-chloro-1,2,2-trifluorocyclobutane causes minimal changes in gramicidin A channel structure in sodium dodecyl sulfate micelles. All hydrogen bonds between channel backbones are well maintained in the presence of 1-chloro-1,2,2-trifluorocyclobutane, and the channel structure is stable. The finding supports the notion that low affinity drugs such as volatile anesthetics and alcohols can cause significant changes in protein function without necessarily producing associated changes in protein structure. To understand the molecular mechanism of general anesthesia, it is important to recognize that in addition to structural changes, other protein properties, including dynamic characteristics of channel motions, may also be of functional significance.     

Effects of calcium on the gramicidin A single channel in phosphatidylserine membranes

In phosphatidylserine membranes the decrease in the conductance of the gramicidin A single channel caused by calcium is attributed to a reduction of surface potential and to a direct blocking of the pore (Apell et al. 1979).The aim of this paper is to make a, quantitative evaluation of these two effects. We recorded the conductance of gramicidin single channels in 100 mM KCl in the presence of different amounts of CaCl₂, MgCl₂ or TEACl.The ionic activities at the channel mouth were calculated using the Gouy-Chapman-Stern theory. Our experiments showed that even when the K⁺ activity at the channel mouth was estimated to be the same, the single channel conductance was lower if divalent cations were present. This effect is attributed to a blocking action of these ions.Abbreviations PS phosphatidylserine - TEA tetraethylammonium     

Permeation characteristics of gramicidin conformers.

To investigate the molecular origin of decreased conductance in variant gramicidin channels, we examined the current-voltage (IV) characteristics of single Val1-gramicidin A channels. Unlike standard channels, all variant channels showed pronounced rectification even though bathing solutions were symmetrical. Moreover, channels of lower conductance consistently showed more pronounced rectification. Analysis within the framework of a three-barrier, two-site, single-filing model indicates that the shape of the variant channel IVs could be best explained by an increase in binding affinity near one of the two channel entrances. This conclusion was further tested by characterizing single channel IVs in bi-ionic solutions having different cationic species at each channel entrance. In Cs/Na bi-ionic solutions, reversal potentials of variant channels often differed by a small but significant amount from those of standard channels. When a membrane potential was applied, the ionic currents tended to be reduced more when flowing from the Na+ side than the Cs+ side. These observations support the conclusion that variant channels have increased binding affinity at one end of the channel. Furthermore, H+ currents were increased while Ag+ currents were unaltered for most variant channels exhibiting decreased Na+ or Cs+ currents. The increased H+ conductance argues against long-range coulombic forces as the basis for decreased Na+ or Cs+ conductance while the normal Ag+ conductance suggests that the binding site field strength increases by a change in carbonyl geometry at the channel entrance.     

Water and polypeptide conformations in the gramicidin channel. A molecular dynamics study.

Theoretical studies of ion channels address several important questions. The mechanism of ion transport, the role of water structure, the fluctuations of the protein channel itself, and the influence of structural changes are accessible from these studies. In this paper, we have carried out a 70-ps molecular dynamics simulation on a model structure of gramicidin A with channel waters. The backbone of the protein has been analyzed with respect to the orientation of the carbonyl and the amide groups. The results are in conformity with the experimental NMR data. The structure of water and the hydrogen bonding network are also investigated. It is found that the water molecules inside the channel act as a collective chain; whereas the conformation in which all the waters are oriented with the dipoles pointing along the axis of the channel is a preferred one, others are also accessed during the dynamics simulation. A collective coordinate involving the channel waters and some of the hydrogen bonding peptide partners is required to describe the transition of waters from one configuration to the other.     

Binding of thallium and other cations to the gramicidin A channel. Equilibrium dialysis study of gramicidin in phosphatidylcholine vesicles

Gramicidin A is a linear peptide antibiotic which forms dimer transmembrane channels selective for small monovalent cations, including thallium ions (Tl⁺) which are strongly bound. While there is great interest in the number of ion-binding sites per channel and the affinities of the sites for the various cations, measurements of the kinetics of ion permeation yield these equilibrium parameters only as indirect estimates dependent on the model assumed for the channel. Sonicated lipid vesicles. containing 1 mole of gramicidin per 30 moles of dimyristoylphosphatidylcholine. can be prepared with 5 mm-gramicidin. Evidence from our previous spectroscopic studies strongly supports the belief that this gramicidin is in the form of symmetrical dimer channels. Lipid vesicles containing gramicidin were dialyzed against control vesicles without gramicidin in the presence of a constant amount of radioactive ²⁰¹Tl⁺ and increasing amounts of non-radioactive Tl⁺. The ratio of ²⁰¹Tl⁺ free in solution to ²⁰¹Tl⁺ bound to the channel was measured after equilibrium (≥ 48 h) at 23 °C, and this ratio was plotted as a function of the free Tl⁺ concentration. The inverse of the slope yielded 0.8 to 1.1 for the maximum number of simultaneously occupied highest affinity sites per channel, and the inverse of the intercept yielded a highest affinity constant of 500 to 1000 m^?1 for each site. It appears that direct electrostatic repulsion prevents ions from binding simultaneously to the identical channel ends for thallium ion concentrations up to 20 mm. Estimates of the highest affinity constants for Rb⁺ and Na⁺ were also obtained.