Induction of conductance heterogeneity in gramicidin channels

In previous work from our laboratory, 5-10% of the channels formed by [Val1]gramicidin A have conductances that fall outside the narrow range that conventionally has defined the standard gramicidin channel [e.g., see Russell et al. (1986) Biophys. J. 49, 673]. Reports from other laboratories, however, show that up to 50% of [Val1]gramicidin channels have conductances that fall outside the range for standard channels [e.g., see Prasad et al. (1986) Biochemistry 25, 456]. This laboratory-to-laboratory variation in the distribution of gramicidin single-channel conductances suggests that the conductance variants are induced by some environmental factor(s) [Busath et al. (1987) Biophys. J. 51, 79]. In order to test whether extrinsic agents can induce such conductance heterogeneity, we examined the effects of nonionic or zwitterionic detergents upon gramicidin channel behavior. In phospholipid bilayers, detergent addition induces many changes in gramicidin channel behavior: all detergents tested increase the channel appearance rate and average duration; most detergents decrease the conductance of the standard channel; and all but one of the detergents increase the conductance heterogeneity. These results show that the conductance heterogeneity can result from environmental perturbations, thus providing a possible explanation for the laboratory-to-laboratory variation in the heterogeneity of gramicidin channels. In addition, the differential detergent effects suggest possible mechanisms by which detergents can induce the conformational perturbations that result in gramicidin single-channel conductance variations.     

Formation of ionic channels in black lipid membranes by succinic derivatives of Gramicidin A

Summary Different succinyl derivatives of Gramicidin A were synthesized and their activity was investigated with different methods on lipid bilayer membranes. The succinyl derivatives of Gramicidin A can be classified as three different types, the O-succinyl derivative, the N-succinyl derivative and the N-O-succinyl derivative of Gramicidin A. An O-pyromellityl-N-succinyl gramicidin was synthesized which can be attributed to the latter class. It was found that O-succinyl gramicidin behaves like the unmodified Gramicidin A despite a charge effect on single-channel conductance, arising from the negative charge of the succinic residue, at the mouth of the channel. The activity of N-succinyl and N-O-succinyl gramicidin and of O-pyromellityl-N-succinyl-gramicidin depends strongly on the pH of the electrolyte solution. It is demonstrated that at low pH (5) the N-succinyl derivatives show high activity, whereas at high pH (7) the activity is sharply reduced or disappears totally. From these experiments it can be concluded that, for the formation of a dimeric gramicidin channel, the hydrogen of the formyl group can be replaced by a protonated carboxylic group of a succinic residue.Further results, obtained by measurement of the single-channel conductance and of the reaction rate constants for the channel formation, are discussed in terms of the structural basis of the single stranded model for the gramicidin channel. On this basis the double stranded helix can be, excluded and an interesting head-to-head single stranded (_L,D) helical channel is described which contains carboxyl groups at the head-to-head junction.     

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.     

Inversion of Markov processes to determine rate constants from single-channel data.

The determination of rate constants from single-channel data can be very difficult, in part because the single-channel lifetime distributions commonly analyzed by experimenters often have a complicated mathematical relation to the channel gating mechanism. The standard treatment of channel gating as a Markov process leads to the prediction that lifetime distributions are exponential functions. As the number of states of a channel gating scheme increases, the number of exponential terms in the lifetime distribution increases, and the weights and decay constants of the lifetime distributions become progressively more complicated functions of the underlying rate constants. In the present study a mathematical strategy for inverting these functions is introduced in order to determine rate constants from single-channel lifetime distributions. This inversion is easy for channel gating schemes with two or fewer states of a given conductance, so the present study focuses on schemes with more states. The procedure is to derive explicit equations relating the parameters of the lifetime distribution to the rate constants of the scheme. Such equations can be derived using the equality between symmetric functions of eigenvalues of a matrix and sums over principle minors, as well as expressions for the moments, derivatives, and weights of a lifetime distribution. The rate constants are then obtained as roots to this system of equations. For a gating scheme with three sequential closed states and a single gateway state, exact analytical expressions were found for each rate constant in terms of the parameters of the three-exponential closed-time distribution. For several other gating schemes, systems of equations were found that could be solved numerically to obtain the rate constants. Lifetime distributions were shown to specify a unique set of real rate constants in sequential gating schemes with up to five closed or five open states. For kinetic schemes with multiple gating pathways, the analysis of simulated data revealed multiple solutions. These multiple solutions could be distinguished by examining two-dimensional probability density functions. The utility of the methods introduced here are demonstrated by analyzing published data on nicotinic acetylcholine receptors, GABA(A) receptors, and NMDA receptors.     

A single-channel sensor based on gramicidin controlled by molecular recognition at bilayer lipid membranes containing receptor

A novel ion-channel sensor based on a membrane bound receptor and a single gramicidin channel is described, in which the binding of an analyte to the membrane bound receptor modulates the single-channel activity of gramicidin. The sensor is composed of a planar bilayer lipid membrane (BLM) containing biotin-labeled phosphatidylethanolamine as receptor for avidin and gramicidin as signal transducer. When the receptor catches an analyte (avidin or ferritin-labeled avidin (FA)) at the membrane surface, the bilayer structure is locally distorted and the gramicidin monomer/dimer kinetics is modulated in a manner that the fraction of channel opening with a short lifetime ( < or = 100 ms) to the total opening events increases. The fraction was found to increase with the concentration of avidin from 1.0 x 10(-9) to 1.0 x 10(-6) M and of FA from 1.0 x 10(-9) to 1.0 x 10(-8) M. With dinitrophenyl-labeled PE embedded as receptor in the BLM for monoclonal anti-dinitrophenyl antibody (anti-DNP), the fraction of channel openings ( < or = 100 ms) increased with the concentration of anti-DNP from 2.0 x 10(-9) to 2.0 x 10(-7) g/ml. Bovine serum albumin (BSA) and anti-BSA antibody caused no changes in the channel opening. The possible mechanism of analyte-induced modulation of single-channel activity of gramicidin is also discussed.     

Kinetic time constants independent of previous single-channel activity suggest Markov gating for a large conductance Ca-activated K channel

Models for the gating of ion channels usually assume that the rate constants for leaving any given kinetic state are independent of previous channel activity. Although such discrete Markov models have been successful in describing channel gating, there is little direct evidence for the Markov assumption of time-invariant rate constants for constant conditions. This paper tests the Markov assumption by determining whether the single-channel kinetics of the large conductance Ca-activated K channel in cultured rat skeletal muscle are independent of previous single-channel activity. The experimental approach is to examine dwell-time distributions conditional on adjacent interval durations. The time constants of the exponential components describing the distributions are found to be independent of adjacent interval duration, and hence, previous channel activity. In contrast, the areas of the different components can change. Since the observed time constants are a function of the underlying rate constants for transitions among the kinetic states, the observation of time constants independent of previous channel activity suggests that the rate constants are also independent of previous channel activity. Thus, the channel kinetics are consistent with Markov gating. An observed dependent (inverse) relationship between durations of adjacent open and shut intervals together with Markov gating indicates that there are two or more independent transition pathways connecting open and shut states. Finally, no evidence is found to suggest that gating is not at thermodynamic equilibrium: the inverse relationship was independent of the time direction of analysis.     

The use of dwell time cross-correlation functions to study single-ion channel gating kinetics.

The derivation of cross-correlation functions from single-channel dwell (open and closed) times is described. Simulation of single-channel data for simple gating models, alongside theoretical treatment, is used to demonstrate the relationship of cross-correlation functions to underlying gating mechanisms. It is shown that time irreversibility of gating kinetics may be revealed in cross-correlation functions. Application of cross-correlation function analysis to data derived from the locust muscle glutamate receptor-channel provides evidence for multiple gateway states and time reversibility of gating. A model for the gating of this channel is used to show the effect of omission of brief channel events on cross-correlation functions.     

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.     

Single-channel parameters of gramicidin a,b, and c

The single-channel conductance Λ and the mean channel lifetime τ1 of natural and synthetic gramicidins A, B, and C has been studied. Significant differences in Λ were found between gramicidin A and B; both gramicidins differ only in one amino acid (tryptophan replaced by phenylalinine). The distribution of Λ is narrow in glycerylmonooleate membranes but considerably broader in dioleoyl phosphatidylcholine and dioleoyl phosphatidylethanolamine membranes. The ratio of the single-channel conductances in glycerylmonooleate and dioleoyl phosphatidylcholine membranes is only about two and is considerable smaller than the conductance ratio of nonactin-mediated cation transport. This finding suggests that dipolar potentials at the membrane/solution interface have little influence on the conductance of the gramicidin channel.     

Single-channel parameters of gramicidin A,B, and C.

The single-channel conductance lambda and the mean channel lifetime gamma of natural and synthetic gramicidins A, B, and C has been studied. Significant differences in delta were found between gramicidin A and B; both gramicidins differ only in one amino acid (tryptophan replaced by phenylaline). The distribution of lambda is narrow in glycerylmonooleate membranes but considerably broader in dioleoyl phosphatidylcholine and dioleoyl phosphatidylethanolamine membranes. The ratio of the single-channel conductances in glycerylmonooleate and dioleoyl phosphatidylcholine membranes is only about two and is considerable smaller than the conductance ratio of nonactin-mediated cation transport. This finding suggests that dipolar potentials at the membrane/solution interface have little influence on the conductance of the gramicidin channel.     

The effects of bilayer thickness and tension on gramicidin single-channel lifetime

Measurements have been made of gramicidin single-channel lifetimes in monoacylglycerol bilayers chosen so that their thickness ranged from above to below the length of the gramicidin channel. Contact angles, electrical capacities and bulk-phase interfacial tensions have also been determined for these systems. The mean channel lifetime decreased with the hydrocarbon thickness of the membrane until the latter reached 2.2 nm, after which the lifetime was relatively constant. A theoretical model has been proposed which relates the mean channel lifetime (or dissociation constant) to both the thickness and the tension of the bilayers. The analysis of the present results and of those of previous studies has led to the idea that aggregates of water molecules may play an important r?le in the dissociation of the gramicidin channel.     

Ion channels formed by chemical analogs of gramicidin A.

Channel-forming peptides such as gramicidin A offer the opportunity to study the relationship between chemical structure and transport properties of an ion channel. This article summarizes a number of recent experiments with chemical analogs and derivatives of gramicidin A using artificial lipid bilayer membranes. The introduction of negative charges near the channel mouth leads to an increase in the cation transport rate. Hybrid channels consisting of a neutral and a negatively charged or of a positively and a negatively charged half-channel may be formed. The current-voltage characteristic of these hybrid channels exhibits a pronounced asymmetry.Experiments with charged derivatives of gramicidin A have been used in order to distinguish between different structural models of the dimeric channel; these studies strongly support Urry's model of a single-stranded, head-to-head associated helical dimer. In a further set of experiments gramicidin analogs with modified amino acid sequence were studied. It was found that a single substitution (tryptophan replaced by phenylalanine) leads to marked changes in the conductance of the channel. Analogs with a simplified amino acid sequence such as (L-Trp-D-Leu)7-L-Trp or L-Trp-Gly-(L-Trp-D-Leu)6-L-Trp are able to form cation permeable channels with similar properties as gramicidin A.     

Influence of acylation on the channel characteristics of gramicidin A.

The influence of acylation on the conductance, average duration, and channel-forming potency of channels formed by gramicidin A analogues was investigated using single-channel and multichannel techniques. Lauroyl-, myristoyl-, palmitoyl-, stearoyl-, and oleoylgramicidin A were prepared by covalent coupling of that fatty acid to the C-terminal ethanolamine group. Acylation of gramicidin A does not affect the single-channel conductance or the minichannel frequency in diphytanoylphosphatidylcholine/n-decane black lipid membranes. However, the average duration of all acylgramicidin channels was increased approximately 5-fold as compared to unmodified gramicidin A, which has a duration of 0.9 s at 200-mV applied potential. Somewhat surprisingly the rate of channel formation of the acylgramicidins is decreased relative to gramicidin A: lauroyl- and stearoylgramicidin are approximately 200 times less effective in channel formation as compared to gramicidin A. We conclude that channels formed by the acylgramicidins and by gramicidin A are structurally and conformationally equivalent.     

The dimeric nature of the gramicidin A transmembrane channel: Conductance and fluorescence energy transfer studies of hybrid channels

Gramicidin A, a linear peptide antibiotic, makes membranes permeable to alkali cations and hydrogen ions by forming transmembrane channels. We report here conductance and fluorescence energy transfer studies of channels containing two kinds of gramicidin. These studies of hybrid channels were designed to determine the number of molecules in a channel. The gramicidins studied were gramicidin A, dansyl gramicidin C, the p-phenylazobenzene sulfonyl derivative of gramicidin C (PABS⁴ gramicidin C), and the 4-(diethylamino)-phenylazobenzene-4-sulfonyl chloride derivative of gramicidin C (DPBS gramicidin C). The dansyl, PABS and DPBS groups were linked to the hydroxyl group of tyrosine 11 in gramicidin C. The single-channel conductance of PABS gramicidin C in planar bilayer membranes is 0.68 that of gramicidin A. Membranes containing both PABS gramicidin C and gramicidin A exhibit three kinds of channels: a pure gramicidin A, a pure PABS gramicidin C channel, and a hybrid channel with an intermediate conductance (0.82 that of gramicidin A). The dependence of the frequencies of these three kinds of channels on the mole fractions of gramicidin A and PABS gramicidin C in the membrane-forming solution fits a dimer model. Fluorescence energy transfer was used as a complementary means of ascertaining the frequency of hybrid channels. Dansyl gramicidin C was the fluorescent energy donor and DPBS gramicidin C was the energy acceptor. The efficiency of energy transfer between these chromophores in hybrid channels in liposomes was 75%. The relative quantum yield of the dansyl fluorescence was measured as a function of the mole fraction of DPBS gramicidin C. These fluorescence studies, like the single-channel conductance measurements, showed that there are two molecules of gramicidin in a 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.     

Gramicidin-based channel systems for the detection of protein-ligand interaction

To detect protein-ligand interaction a gramicidin-based sensor was developed. Biotin was tagged to the C-terminus of gramicidin (Gram-bio 1). The biotin-moiety, which faces the electrolyte, gave little effect on single-channel conductance. Streptavidin added to the electrolyte was detected by Gram-bio 1 through the monitoring channel current using the planar bilayer system. The suppression of macroscopic currents and the acceleration of their decaying time course were observed in a concentration dependent manner. In the single-channel level, however, no significant effect on the single-channel conductance and the open dwell time was observed upon addition of streptavidin. Therefore, streptavidin neither blocked the open channel nor changed the stability of the conducting dimer. Insertion of a linker between gramicidin and biotin did not change the streptavidin-sensitivity of the current reduction. We conclude that the binding of streptavidin to the Gram-bio 1 shifted the distribution of the complex from the membrane to the electrolyte and, thus, reduced the formation of conducting dimer of Gram-bio 1 in the membrane. Interaction of biotin with an anti-biotin antibody was also observed using this system, indicating that this system is applicable for the detection of protein-ligand interaction having a binding constant of approximately 10(8-9) M(-1) or more. Both the adamantane-tagged gramicidin for detection of beta-cyclodextrin and the Strep Tag-II-tagged gramicidin for detection of streptavidin (binding constant: approximately 10(5) M(-1) or less) failed to respond. Thus, high-affinity ligands upon tagging to gramicidin render the gramicidin-based sensor able to execute as a real-time monitoring system for protein-ligand interaction.     

Single-channel studies on linear gramicidins with altered amino acid side chains. Effects of altering the polarity of the side chain at position 1 in gramicidin A.

The modulation of gramicidin A single-channel characteristics by the amino acid side chains was investigated using gramicidin A analogues in which the NH2 terminal valine was chemically replaced by other amino acids. The replacements were chosen such that pairs of analogues would have essentially isosteric side chains of different polarities at position 1 (valine vs. trifluorovaline or hexafluorovaline; norvaline vs. S-methyl-cysteine; and norleucine vs. methionine). Even though the side chains are not in direct contact with the permeating ions, the single-channel conductances for Na+ and Cs+ are markedly affected by the changes in the physico-chemical characteristics of the side chains. The maximum single-channel conductance for Na+ is decreased by as much as 10-fold in channels formed by analogues with polar side chains at position 1 compared with their counterparts with nonpolar side chains, while the Na+ affinity is fairly insensitive to these changes. The relative conductance changes seen with Cs+ were less than those seen with Na+; the ion selectivity of the channels with polar side chains at position 1 was increased. Hybrid channels could form between compounds with a polar side chain at position 1 and either valine gramicidin A or their counterparts with a nonpolar side chain at position 1. The structure of channels formed by the modified gramicidins is thus essentially identical to the structure of channels formed by valine gramicidin A. The polarity of the side chain at position 1 is an important determinant of the permeability characteristics of the gramicidin A channel. We discuss the importance of having structural information when interpreting the functional consequences of site-directed amino acid modifications.     

Ion movement through gramicidin A channels. Single-channel measurements at very high potentials

The patch-clamp technique of Mueller (1975, Ann. N.Y. Acad. Sci., 274:247-264) and Neher and Sakmann (1976, Nature (Lond.), 260:799-802) was modified to be suitable for single-channel measurements in lipid bilayers at potentials up to 500 mV. This method was used to study gramicidin A single-channel current-voltage characteristics. It was found that the sublinear current-voltage behavior normally observed at low permeant ion concentrations and rather low potentials (V less than or equal to 200 mV) continues to be seen all the way up to 500 mV. This phenomenon is characteristic of the low permeant ion situation in which the channel is far from saturation, and implies that the overall rate constant for association between ion and channel is very weakly, if at all, voltage dependent. The magnitude of the single channel currents at 500 mV is consistent with the notion that the aqueous convergence conductance is a significant factor in determining the permeability characteristics of the gramicidin A channel.     

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.     

Energetics of gramicidin hybrid channel formation as a test for structural equivalence. Side-chain substitutions in the native sequence.

To determine whether amino acid side-chain substitutions in linear gramicidins after the structure of membrane-spanning channels formed by the modified peptides, we have developed a quantitative measure of structural equivalence of the peptide backbone among gramicidin channels based on functional (single-channel) measurements. The experiments exploit the fact that gramicidin channels are symmetrical dimers, and that channels formed by different gramicidin analogues can be distinguished on the basis of their single-channel current amplitudes or durations. It is thereby possible to determine whether hybrid channels can form between chemically dissimilar peptides, i.e. whether the peptides can adapt to each other. Further, since the relative rates of channel formation as well as the relative concentrations of pure and hybrid channel types can be measured in the same membrane, these experiments provide a quantitative measure of the energetic cost of hybrid channel formation relative to the formation of the pure channels. For a wide variety of different side-chains, we find that substitutions as extreme as glycine to phenylalanine at position 1, at the join between the two monomers in a membrane-spanning dimer, incur no energetic cost for channel formation, which implies that channels formed by each of the modified peptides are structurally equivalent. In addition, the average durations of the hybrid channels (except those having tyrosine or hexafluorovaline at position 1) are intermediate to the average durations of the respective pure channel types, thus providing further evidence for structural equivalence among channels formed by sequence-substituted gramicidins.