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If a membrane contains ion-conducting channels which form and disappear in a random fashion, an electric current which is passed through the membrane under constant voltage shows statistical fluctuations. Information on the kinetics of channel formation and on the conductance of the single channel may be obtained by analyzing the electrical noise generated in a membrane containing a great number of channels. For this purpose the autocorrelation function of the current noise is measured at different concentrations of the channel-forming substance. As a test system for the application of this technique we have used lipid bilayer membranes doped with gramicidin A. From the correlation time of the current noise generated by the membrane, the rate constants of formation (k-R) and dissociation (k-D) of the channels could be determined. In addition, the mean square of the current fluctuations yielded the single-channel conductance lambda. The values of k-R, k-D, and lambda obtained from the noise analysis agreed closely with the values determined by relaxation measurments and single-channel experiments.

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.

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 electric conductance of the cation-permeable gramicidin channel in negatively charged phosphatidylserine membranes has been studied. At low electrolyte concentrations the single-channel conductance is much larger in the negatively charged membrane than in a neutral membrane. This enhancement of conductance is in agreement with theoretical expectations, although a complete description of the salt concentration dependence of conductance was not possible. The results of these experiments may be compared with previous studies of a negatively charged gramicidin analog (O-pyromellityl gramicidin). It is found that the electrostatic effect on the conductance is much larger for a neutral channel embedded in a negatively charged lipid than for the negatively charged O-pyromellityl analog (with three charges at the channel mouth) embedded in a neutral lipid.

Gramicidin A was dimerized with carbonsuboxide as bifunctional reagent. The effect of the resulting malonyl-bis-desformylgramicidin on lipid bilayer membranes was investigated and compared with the effect of the monomer gramicidin. It was found that the single channel conductance and the ion selectivity are very similar to the behaviour of the monomer molecule, whereas the channel forming kinetics and the life time of the single channel of the malonyl-bis-desformylgramicidin differ strongly from the behaviour of the monomer gramicidin. The electrical relaxations are very small and possibly associated with some structural changes of the membrane after a voltage jump. The single channel lifetime of the malonyl-bis-desformylgramicidin is measured in minutes, whereas for the same lipid system the single channel lifetime in the case of the monomer gramicidin is restricted to 1-2 s. It is concluded that the malonyl-bis-desformylgramicidin-molecule itself (as a single molecule) forms an ionic channel without further association.

The interaction of gramicidin A with dipalmitoyl phosphatidylcholine liposomes is investigated by Laser-Raman spectroscopy. As revealed by the methylene C-H stretching mode the phase transition of the hydrocarbon chains near 40 degree C is eliminated in the presence of gramicidin A. Liposomes prepared from a mixture of lecithin and cholesterol seem to be unaffected by gramicidin A and show only the normal broadened phase transition.

Measurements with different chemically modified gramicidins in lipid bilayer membranes were used to discriminate between the dimeric pi(L,D) helix proposed by Urry and the dimeric parallel or antiparallel helices proposed by Veatch and Blout. Evidence for the pi(L,D) helix was obtained on the basis of the different actions of a negatively charged O-pyromellitylgramicidin and a negatively charged N-pyromellityldesformylgramicidin on lipid bilayer membranes. O-Pyromellitylgramicidin forms ionic channels in lipid membranes when it is applied to both sides of the membrane. In contrast to unmodified gramicidin, O-pyromellitylgramicidin is inactive when it is applied only to one side of the membrane. N-Pyromellityldesformylgramicidin does not form ionic channels in lipid bilayer membranes whether it is applied to one or both sides of the membrane. These results support the view that the gramicidin channel is formed by two pi(L,D) helices. Dimer formation by head-to-head association of two pi(L,D) helices needs six intermolecular hydrogen bonds, which are located at the formyl end of the molecule and which occur deep within the lipid membrane. In the head-to-head associated pi(L,D) helix the absence of the formyl group leads to an inactivation of the peptide, whereas in a parallel or antiparallel double-stranded helix the absence of the formyl group should have only minor effects.

O-pyromellitylgramicidin is a derivative of gramicidin in which three carboxyl groups are introduced at the terminal hydroxyl end of the peptide. Experiments with artificial lipid membranes indicate that this negatively charged analog forms ion-permeable channels in a way similar to that of gramicidin. If O-pyromellitylgramicidin is added to only one aqueous solution, the membrane conductance remains small, but increases by several orders of magnitude if the same amount is also added to the other side. In accordance with the dimer model of the channel, the membrane conductance under symmetrical conditions is proportional to the square of the aqueous concentration of O-pyromellitylgramicidin over a wide range. The ratio lambdaPG/lambdaG of the single-channel conductance of O-pyromellitylgramicidin to that of gramicidin is close to unity at high ionic strength, but increases more than fivefold at smaller ionic strength (0.01 M). This observation is explained in terms of an electrostatic effect of the fixed negative charges localized near the mouth of the channel. In a mixture of O-pyromellitylgramicidin and gramicidin, unit conductance steps of intermediate size are observed in addition to the conductance steps corresponding to the pure compounds, indicating the formation of hybrid channels. Hybrid channels with preferred orientation may be formed if small amounts of gramicicin and O-pyromellitylgramicidin are added to opposite sides of the membrane. These hybrid channels show a distinct asymmetry in the current-voltage characteristic.

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 gramacidin and of O-pyromellityl-N-succinyl-gramicidin depends strongly on the pH of the electrolyte solution. It is demonstrated that at low pH (less than or equal to 5) the N-succinyl derivatives show high activity, whereas at high pH (greater than or equal to 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 beta(pi L.D.) helical channel is described which contains carboxyl groups at the head-to-head junction.

According to the model of Urry, the cation-permeable gramicidin channel is a dimeric helix formed by association of two peptide monomers linked at their amino ends. In this paper the channel properties of gramicidin analogs are described which have been obtained by chemical modification at the coupling site of the two half-channels. In these analogs the amino terminal -CHO group is replaced by -CO(CH2)nCCOH (n = 2, 3, 4, 5, 6). All analogs form conducting channels in black lipid membranes with the same general properties as found for gramicidin A. The observation that the channel-forming activity decreases with increasing pH is consistent with the notion that the half-channels are linked at the amino terminus. The channel lifetime of the different analogs varies between 2 msec and greater than of equal to 50 sec, the longest lifetime being found for the compound with n = 3. The single-channel conductance : formula : (see text) is always smaller than that of gramicidin A, but the reduction of : formula : (see text) depends on the nature of the permeable ion. Ion specificity was studied at 1 M electrolyte by measuring the conductance : formula : (see text) for different permeable ions (Na+, K+, Cs+). The conductance ration : formula : (see text) (Cs+)/ : formula : (see text) (Na+) was found to vary between 2 and 10.5 for the different analogs.

The thickness changes of black lipid membranes of different composition after a voltage jump were investigated. In a second series of electrical relaxation experiments the kinetics of channel formation by gramicidin A were measured. The time course of the membrane current was compared with the time course of the thickness change of the membranes. We found that the time course of the current as a consequence of channel formation by gramicidin A did not correlate with the thickness change of the lipid membranes. A possible direct influence of the electric field is discussed.

The noise behavior of lipid bilayer membranes, doped with a chemically dimerized gramicidin A, was investigated. In contrast to normal gramicidin A, which generates a Lorentzian type power spectrum due to the formation and disappearance of conducting dimers, the current power spectrum density Sm(f) obtained with this gramicidin A derivative showed over several orders of magnitude a clear l/f behavior. The intensity of this l/f component was analyzed as a function of the membrane-applied voltage, membrane resistance, electrolyte concentration, and composition. The relationship between the mean-square fluctuation in current and the membrane current mean value was found to follow Hooge's equation, i.e., deltaI2 = alphaI2m/Nf where N is the number of channels and alpha is a constant equal to 1.0 X 10(-2). It is suggested that a l/f type noise was observed because the chemically dimerized form of gramicidin A produces long lasting cation selective channels.

The properties of the gramicidin A channel in membranes made from a series of monoglycerides have been studied. In agreement with previous studies, the dissociation rate constant kD of the dimeric channel was found to increase strongly with increasing chain length of the monoglyceride, corresponding to a decrease of the mean life-time of the channel. The value of kD, however, was not strictly correlated with the membrane thickness, as seen from a comparison of membranes with different solvent content. Furthermore, the life-time of the channel increased with the concentration of the permeable ion. This effect was tentatively explained by an electrostatic stabilization of the channel. The single-channel conductance lambda was found to decrease with increasing membrane thickness d, if d was varied by increasing the chain length of the lipid. On the other hand, if d was changed by varying the solvent content of the membranes formed from one and the same lipid, lambda remained constant. These observations were explained by the assumption of local inhomogeneities in the membrane thickness. A striking difference between the lambda values obtained from autocorrelation analysis in the presence of many presence of many channels (lambda a) and those obtained from single-channel experiments (lambda sc) occurred with membranes from longer chain-length monoglycerides. This difference disappeared at low ion concentrations. Electrostatic interactions between channels in local clusters were proposed for an interpretation of these findings.