Formation of "solvent-free" black lipid bilayer membranes from glyceryl monooleate dispersed in squalene.

A simple technique for forming "black" lipid bilayer membranes containing negligible amounts of alkyl solvent is described. The membranes are formed by the method of Mueller et al (Circulation. 1962. 26:1167.) from glyceryl monooleate (GMO) dispersed in squalene. The squalene forms an annulus to satisfy the boundary conditions of the planar bilayer but does not appear to dissolve noticeably in the bilayer itself. The specific geometric capacitance (Cg) of the membranes at 20 degrees C formed by this technique is 0.7771 +/- 0.0048 muF/cm2. Theoretical estimates of Cg for solvent-free bilayers range from 0.75 to 0.81 muF/cm2. Alkane-free GMO bilayers formed from n-octadecane by the solvent freeze-out method of White (Biochim. Biophys. Acta. 1974. 356:8) have values of Cg = 0.7903 +/- 0.0013 muF/cm2 at 20.5 degrees C. The agreement between the various values of Cg strongly suggests that the bilayers are free of squalene. DC potentials applied to the bilayers have no detectable effect on the value of Cg, as expected for solvent-free films. The ability to form bilayers essentially free of the solvent used in the forming solution makes it possible to determine the area per molecule of the surface active lipid in the bilayer. The area per molecule of GMO at 20 degrees C is estimated to be 37.9 +/- 0.2 A2.     

Influence of membrane structure on the kinetics of carrier-mediated ion transport through lipid bilayers

Charge-pulse relaxation experiments of valinomycin-mediated Rb⁺ transport have been carried out in order to study the influence of membrane structure on carrier kinetics. From the experimental data the rate constants of association (k_R) and dissociation (k_D) of the ion-carrier complex as well as the rate constants of translocation of the complex (k_MS) and of the free carrier (k_S) could be obtained. The composition of the planar bilayer membrane was varied in a wide range. In a first series of experiments, membranes made from glycerolmonooleate dissolved in different n-alkanes (n-decane to n-hexadecane), as well as solvent-free membranes made from the same lipid by the Montal-Mueller technique were studied. The translocation rate constants k_S and k_MS were found to differ by less than a factor of two in the membranes of different solvent content. Much larger changes of the rate constants were observed if the structure of the fatty acid residue was varied. For instance, an increase in the number of double bonds in the C₂₀ fatty acid from one to four resulted in an increase of k_S by a factor of seven and in an increase of k_MS by a factor of twenty-four. The stability constant K = k_R/k_D of the ion-carrier complex as well as the translocation rate constants k_S and k_MS were found to depend strongly on the nature of the polar headgroup of the lipid. The incorporation of cholesterol into glycerolmonooleate membranes reduced k_R, k_MS and k_S up to seven-fold.     

Photon correlation spectroscopy of bilayer lipid membranes

Light scattering by thermal fluctuations on simple monoglyceride bilayer membranes has been used to investigate the viscoelastic properties of these structures. Spectroscopic analysis of these fluctuations (capillary waves) permits the nonperturbative measurement of the interfacial tension and a shear interfacial viscosity acting normal to the membrane plane. The methods were established by studies of solvent and nonsolvent bilayers of glycerol monooleate (GMO). Changes in the tension of GMO/n-decane membranes induced by altering the composition of the parent solution were detected and quantified. In a test of the reliability of the technique controlled variations of the viscosity of the aqueous bathing solution were accurately monitored. The technique was applied to solvent-free bilayers formed from dispersions of GMO in squalane. The lower tensions observed attested to the comparative absence of solvent in such bilayers. In contrast to the solvent case, the solvent-free membranes exhibited a significant transverse shear viscosity, indicative of the enhanced intermolecular interactions within the bilayer.     

Effects of hydrostatic pressure on lipid bilayer membranes. I. Influence on membrane thickness and activation volumes of lipophilic ion transport.

Measurements of membrane capacitance, Cm, were performed on lipid bilayers of different lipidic composition (diphytanoyl phosphatidylcholine PPhPC, dioleoyl phosphatidylcholine DOPE, glycerylmonooleate GMO) and containing n-decane as solvent. In the same membranes, the absorption of the lipophilic ions dipicrylamine (DPA-) and tetraphenylborate (TPhB-), and the kinetics of their translocation between the two membrane faces have been studied. The data were obtained from charge pulse relaxation measurements. Upon increasing pressure the specific capacity Cm increased in a fully reversible and reproducible way reflecting a thinning of the membrane that is attributed to extrusion of n-decane from the black membrane area. High pressure decreased the rate constant, ki, for lipophilic ion translocation. After correcting for changes in the height of the energy barrier for translocation due to membrane thinning the pressure dependence of ki yields an apparent activation volume for translocation of approximately 14 cm3/mol both for DPA- and TPhB-. Changes in lipophilic ion absorption following a step of pressure developed with a rather slow time course due to diffusion limitations in solution. The stationary concentration of membrane absorbed lipophilic ions increased with pressure according to an apparent volume of absorption of about -10 cm3/mol. The relevance of the results for the interpretation of the effects of pressure on nerve membrane physiology is discussed.     

Noncontact dipole effects on channel permeation. IV. Kinetic model of 5F-Trp(13) gramicidin A currents

Nonlinear least squares fitting was used to assign rate constants for the three-barrier, two-site, double-occupancy, single-filing kinetic model for previously reported current-voltage relations of (5F-Indole)Trp(13) gramicidin A and gramicidin A channels (, 75:2830-2844). By judicious coupling of parameters, it was possible to reduce the parameter space from 64 parameters to 24, and a reasonable fit consistent with other experimental data was obtained. The main features of the fit were that fluorination increased the rate constant for translocation by a factor of 2.33, consistent with a free energy change in the translocation barrier of -0.50 kcal/mol, and increased first-ion binding affinity by a factor of 1.13, primarily by decreasing the first-ion exit rate constant. The translocation rate constant was 5.62 times slower in diphytanoyl phosphatidylcholine (DPhPC) bilayers than in monoolein (GMO) bilayers (coupled for the four combinations of peptide and salt), suggesting a 44.2-mV difference in the projection of the interfacial dipole into the channel. Thus fluorination caused increased currents in DPhPC bilayers, where a high interfacial dipole potential makes translocation more rate limiting because the translocation barrier was reduced, and decreased currents in GMO bilayers, where ion exit or entry is rate limiting because these barriers were increased.     

Effects of hydrostatic pressure on lipid bilayer membranes. II. Activation and reaction volumes of carrier mediated ion transport.

Measurements of voltage relaxations following brief charge-pulses applied to lipid bilayers have been performed at different hydrostatic pressures in the presence of the neutral carriers cyclo (D-Val-L-Pro-L-Val-D-Pro)3(PV) and valinomycin. From double-exponential relaxations observed in membranes containing PV-K+ complexes estimates were obtained of the amount of membrane absorbed complexes, NMS, and of the rate of complex translocation, kMS. The pressure dependence of kMS corresponded to an activation volume for translocation of approximately 12 cm3/mol independent of ionic strength and K+ concentration. The pressure dependence of NMS strongly varied with K+-concentration suggesting a major role of ion-complexation in solution which is estimated to involve a reaction volume of 25.5 cm3/mol, while the volume of absorption of a PV-K+ complex by the membrane was estimated -7.5 cm3/mol. The relaxations observed in the presence of valinomycin contained three exponentials and could be used to estimate four rate constants and one absorption parameter which characterize the valinomycin-mediated transport. When the transport of Rb+ was tested, the rate constant for the complex dissociation, kD, and the total concentration of free and complexed carriers in the membrane, No, were found to be pressure insensitive. The translocation rates for the complex, kMS and for the free carrier, kS, were instead markedly pressure dependent according to estimated activation volumes in the range of 11 to 18 cm3/mol. The recombination rate constant kR was also pressure dependent according to an activation volume of 12-14 cm3/mol.(ABSTRACT TRUNCATED AT 250 WORDS)     

Ion transport mediated by the valinomycin analogue cyclo(L-Lac-L-Val-D- Pro-D-Val)3 in lipid bilayer membranes

Cyclo(L-Lac-L-Val-D-Pro-D-Val)3 (PV-Lac) a structural analogue of the ion-carrier valinomycin, increases the cation permeability of lipid bilayer membranes by forming a 1:1 ion-carrier complex. The selectively sequence for PV-Lac is identical to that of valinomycin; i.e., Rb+ greater than K+ greater than Cs+ greater than or equal to NH+4 greater than Na+ greater than Li+. The steady-state zero-voltage conductance, G(0), is a saturating function of KCl concentration. A similar behavior was found for Rb+, Cs+, and NH+4. However, the ion concentration at which G(0) reaches a plateau strongly depends on membrane composition. The current-voltage curves present saturating characteristics, except at low ion concentrations of Rb+, K+, or Cs+. The ion concentration at which the saturating characteristics appear depends on membrane composition. These and other results presented in this paper agree with a model that assumes complexation between carrier and ion at the membrane-water interface. Current relaxation after voltage-jump studies were also performed for PV-Lac. Both the time constant and the amplitude of the current after a voltage jump strongly depend on ion concentration and membrane composition. These results, together with the stationary conductance data, were used to evaluate the rate constants of the PV-Lac-mediated K+ transport. In glycerolmonooleate they are: association rate constant, 2 x 10(6) M-1 s-1; dissociation rate constant, 4 x 10(5) s-1; translocation rate constant for complex, 5 x 10(4) s-1; and the rate of translocation of the free carrier (ks), 55 s-1. ks is much smaller for PV-Lac than for valinomycin and thus limits the efficiency with which the carrier is able to translocate cations across the membrane.     

Structural requirement for the rapid movement of charged molecules across membranes. Experiments with tetraphenylborate analogues.

Charge-pulse experiments were performed in the presence of structural analogues of tetraphenylborate (TPB) on membranes made of dioleoyl phosphatidylethanolamine and dioleoyl phosphatidylcholine. The analysis of the experimental results using a previously proposed model allowed the calculation of the partition coefficient, beta, and of the translocation rate constant, kappa i. The temperature dependence of the partition coefficients was used to calculate the thermodynamics of the adsorption of the lipophilic ions to the membranes. The analysis of the translocation rate constants obtained at different temperatures yielded detailed information on the free energy of the TPB-analogues within artificial lipid bilayer membranes, and on the activation energy of the translocation rate constants. The adsorption of the different TPB-analogues to the membranes was only slightly affected by their structure, whereas a dramatic influence of the structure on the free energy of the lipophilic ions within the membranes was observed. The free energy of the ions in the membranes decreased from triphenylcyanoborate (TPCB) to tetrakis(3-trifluoromethylphenyl)borate (TTFPB) by more than 31 kJ/mol (7.4 kcal/mol). This could be concluded from the observed increase in the translocation rate constant by almost six orders of magnitude. The change of the free energy in the membrane was used for the estimation of an effective radius of the TPB-analogues with respect to TPB.     

Metal ion specificity in anaesthetic induced increase in the rate of monensin and nigericin mediated H+/M+ exchange across phospholipid vesicular membranes

From a study of the decay of the pH difference across vesicular membranes (delta pH) it has been possible to show that H+ and alkali metal ion (M+) concentration gradients across bilayer membranes (which are responsible for driving important biochemical processes) can be selectively perturbed by anaesthetics such as chloroform and benzyl alcohol by combining them with a suitable exchange ionophore. On adding the anaesthetic to the membrane in an environment containing metal ions M+ = K+, the rate of delta pH decay by H+/M+ exchange increases by a larger factor or by a smaller factor (when compared to that in a membrane environment with M+ = Na+) depending on whether the exchange ionophore chosen is monensin or nigericin. A rational explanation of this "metal ion specificity" can be given using the exchange ionophore mediated ion transport scheme in which the equilibrations at the "interfaces" are fast compared to the "translocation equilibration" between the species in the two layers of the membrane. The following three factors are responsible for the observed "specificity": On adding the anaesthetic (i) translocation rate constants increase, (ii) the concentrations of the M+ bound ionophores increase at the expense of H+ bound ionophores. (iii) Under our experimental conditions the rate determining species are the complexes monensin-K (Mon-K) and nigericin-H (Nig-H) for M+ = K+ whereas they are monensin-H (Mon-H) and nigericin-Na (Nig-Na) for M+ = Na+. Possible anaesthetic induced membrane perturbations contributing to the above mentioned changes in the membrane are (A), the loosening of the membrane structure and (B), an associated increase in the membrane hydration (and membrane dielectric constant). An analysis of the consequent changes in the various transport step shows the following: (a), The anaesthetic induced changes in the translocation rates of electrically charged species are not relevant in the explanation of the observed changes in the delta pH decay rates. (b), Changes in the rates of fast equilibria at the interface contribute to changes in KH and KM. (c), A suggestion made in the literature, that a significant interaction between the dipole moment of the monensin-K complex and the membrane slows down its translocation, is not valid. (d), The ability to explain rationally all the delta pH decay data confirms the validity of the transport scheme used. In our experiments delta pH across the vesicular membrane was created by pH jump coming from a temperature jump.     

Interaction of hopanoids with phosphatidylcholines containing oleic and ω-cyclohexyldodecanoic acid in lipid bilayer membranes

Lipid bilayer membranes were made from hopanoid phosphatidylcholine mixtures dissolved in decane. The specific capacity of the mixed membranes was found to increase with increasing hopanoid content. This indicates an interaction between hopanoids and lipids which leads to a reduction of the chemical potential of the solvent in the membranes.The structural properties of mixtures of hopanoids and phosphatidylcholines were investigated using charged probe molecules, the negatively charged lipophilic ions dipicrylamine (DPA) and tetraphenylborate (TØB) and the positively charged potassium complex PV-K⁺ (PV, cyclo (D-Val-L-Pro-L-Val-D-Pro)₃). The transport properties of the lipophilic ions in the mixed membranes indicate that the electrical properties like dipolar potential and surface potentials of phosphatidylcholine membranes are not changed by the insertion of the hopanoids. The translocation rate constant K of the PV-K⁺ complex is drastically reduced in the hopanoid phosphatidylcholine membranes with increasing hopanoid content. This effect is discussed on the basis of an alteration of the microviscosity in the mixed membranes. There exists a close analogy between the action of cholesterol and hopanoids in bilayer membranes from phosphatidylcholines.A bilayer membrane composed of di-ω-cyclohexyldodecanoyl-phosphatidylcholine (DCPC) was found to possess a higher specific capacity as compared to other phosphatidylcholines. Also a lower translocation rate constant for PV-K⁺ was observed which may be caused by the relative high microviscosity of this lipid even above the phase transition temperature.     

The Rate Constants of Valinomycin-Mediated Ion Transport through Thin Lipid Membranes

Electrical relaxation experiments have been performed with phosphatidylinositol bilayer membranes in the presence of the ion carrier valinomycin. After a sudden change of the voltage a relaxation of the membrane current with a time constant of about 20 μsec is observed. Together with previous stationary conductance data, the relaxation amplitude and the relaxation time are used to evaluate the rate constants of valinomycin-mediated potassium transport across the lipid membrane. It is found that the rate constants of translocation of the free carrier S and the carrier-ion complex MS⁺ are nearly equal (2·10⁴ sec^-1) and are of the same order as the dissociation rate constant of MS⁺ in the membrane-solution interface (5·10⁴ sec^-1). The equilibrium constant of the heterogeneous association reaction M⁺ (solution) + S (membrane) → MS⁺ (membrane) is found to be ~ 1 M^-1, about 10⁶ times smaller than the association constant in ethanolic solution.     

Valinomycin-mediated ion transport through neutral lipid membranes: Influence of hydrocarbon chain length and temperature

Summary Stationary electrical conductance experiments together with nonstationary relaxation experiments allow a quantitative determination of rate constants describing carrier-mediated ion transport. Valinomycin-induced ion transport across neutral lipid membranes was studied. The dependence of the transport parameters on the chain length of the lipid molecules, on the kind of alkali ion, and on the temperature was determined. The relaxation time the current following a voltage jump shows a marked increase with decreasing temperature or with increasing chain length of the lipid molecules. This variation of is interpreted on the basis of a varying membrane fluidity. It is shown that under favorable circumstances the equilibrium constant of complex formation in the aqueous phase may be obtained from membrane experiments. Furthermore, the kinetics of exchange of valinomycin between membrane and water was studied. We found a marked influence of the totus surrounding the black film on the kinetics as well as on the total amount of valinomycin molecules in the membrane. The problem of location of the free carrier molecules inside the membrane is discussed.     

Mechanism of ion transport through lipid bilayer-membranes mediated by peptide cyclo-(d-Val-l-Pro-l-Val-d-Pro)3

The cyclic dodecapeptide PV, cyclo-(d-Val-l-Pro-l-Val-d-Pro)₃, a structural analogue of the ion-carier valinomycin, increase the cation permeability of lipid bilayer membranes. This paper reports the results of two types of relaxation experiments, namely relaxation of the membrane current after a voltage jump and decay of the membrane voltage after a charge pulse in lipid bilayer membranes exposed to PV. From the relaxation data, the rate constant for the translocation of the ion carrier complex across the membrane, as well as the partition coefficient of the complex between water and membrane solution interface were computed and found to be about one order of magnitude less than the comparable values for valinomycin (Val). Furthermore, the dependence of the initial membrane conductivity on ion concentration was used to evaluate the equilibrium constant, K, of complexation between PV and some monovalent cations in water. The values of K yield the following selectivity sequence of PV: Na⁺ < NH₄⁺ < K⁺ < Cs⁺ < Rb⁺. These and earlier results are consistent with the idea that PV promotes cation movement across membranes by the solution complexation mechanism which involves complexation between ion and carrier in the aqueous phase and transport of the carrier across the membrane. In the particular form of the solution complexation mechanism operating here, the PV present in the PV-cation complex carrying charge across the membrane derives from the side from which the current is flowing (cis-mechanism). As shown previously, valinomycin, in contrast to PV, acts by an interfacial complexation mechanism in which the Val in the Val-cation complex derives from the side toward which current is flowing (trans-mechanims). The comparison of the kinetic properties of these two closely related compounds yields interesting insights into the relationship between chemical structure and function of ion carriers.     

Kinetics of the iodine- and bromine-mediated transport of halide ions: demonstration of an interfacial complexation mechanism.

Stationary and kinetic experiments were performed on lipid bilayer membranes to study the mechanism of iodine- and bromine-mediated halide transport in detail. The stationary conductance data suggested that four different 1:1 complexes between I2 and Br2 and the halides I- and Br- were responsible for the observed conductance increase by iodine and bromine (I3-, I2Br-, Br2I-, and Br3-). Charge pulse experiments allowed the further elucidation of the transport mechanism. Only two of three exponential voltage relaxations predicted by the Läuger model could be resolved under all experimental conditions. This means that either the heterogeneous complexation reactions kR (association) and kD (dissociation) were too fast to be resolved or that the neutral carriers were always in equilibrium within the membrane. Experiments at different carrier and halide concentrations suggested that the translocation of the neutral carrier is much faster than the other processes involved in carrier-mediated ion transport. The model was modified accordingly. From the charge pulse data at different halide concentrations, the translocation rate constant of the complexed carriers, kAS, the dissociation constant, kD, and the total surface concentration of charged carriers, NAS, could be evaluated from one single charge pulse experiment. The association rate of the complex, kR, could be obtained in some cases from the plot of the stationary conductance data as a function of the halide concentration in the aqueous phase. The translocation rate constant, kAS, of the different complexes is a function of the image force and of the Born charging energy. It increases 5000-fold from Br3- to I3- because of an enlarged ion radius.     

Effect of ionizing radiation on artificial (planar) lipid membranes. II. The ion carriers valinomycin and nonactin as probes for radiation induced structural changes of the membrane

Planar lipid membranes in the presence of the ion carriers valinomycin or nonactin were irradiated with 14 MeV electrons from a linear accelerator. A large increase of the membrane conductance by up to more than two orders of magnitude was found. The effect is virtually abolished either at high pH, or in the absence of oxygen, or in the presence of the radical scavenger ethanol. A further prerequisite for the effect is the presence of unsaturated fatty acid residues. A kinetic analysis of the carrier transport model based on current-voltage curves and on voltage-jump relaxation experiments was performed as a function of radiation dose. Only the translocation rate constant, kMS, of the charged carrier-ion complex was found to be influenced by irradiation. The effect is interpreted as an increase of the polarity (dielectric constant) of the membrane interior induced by the presence of polar products of lipid peroxidation. A combined action of OH- and HO2-radicals seems to be responsible for the phenomena. At large radiation doses (greater than or equal to 10(3) Gy) a reduction of the membrane conductance was observed. This is interpreted as an increased microviscosity, possibly caused by cross-linking of fatty acid residues. Ion carriers represent sensitive probes of radiation induced membrane damage.     

Transport of potassium ions across planar lipid membranes by the antibiotic,grisorixin: I. The equilibrium state and self-diffusion K+ fluxes

Summary ⁴²K⁺ tracer flux and steady-state conductance measurements were carried out with bilayer lipid membranes containing grisorixin, a carboxylic polyether antibiotic. When the membranes are placed between two bulk aqueous solutions of identical composition, the exchange or self-diffusion transmembrane flux of potassium is measured by a method which allows the characterization of the bilayer K⁺ permeability at the equilibrium state. The K⁺ self-diffusion flux increases with the pH in the range pH 6 to pH 9 and reaches a constant value for values above 9. This can be directly related to the increase of the surface concentration of the 11 complex formed by K⁺ and the deprotonated polyether at both bilayer membrane interfaces. The transport model initially proposed by Pressman and coworkers (Proc. Natl. Acad. Sci. USA 58:1949–1956, 1967) is again taken into consideration in the quantitative analysis of the flux data. The transmembrane transport of K⁺ results from the translocation of its neutral complex with grisorixin and the association-dissociation of the antibiotic with either potassium or conditions by a translocation process of the acidic grisorixin. Using the data of some previous studies for mixed ionophorelipid monolayers at the air/water interface and the present results for the self-diffusion flux measurements, it was possible to propose an evaluation of the more important parameters characterizing the transport; namely, the total surface concentration of grisorixin, the interfacial pK and the translocation rate constant of its potassium neutral complex. The method proposed could be extended easily to other carboxylic polyethers, which would lead to an interesting comparison of their ionophoric properties using model membrane systems.     

Effect of the anesthetics benzyl alcohol and chloroform on bilayers made from monolayers.

The neutral anesthetics chloroform and benzyl alcohol, at concentrations that block the nerve impulse, greatly modify the transport parameters of positive and negative ions in lipid bilayers made from monolayers. Both chloroform and benzyl alcohol increase the membrane permeability to these ions and increase the translocation rate for tetraphenylborate. It was found that both anesthetics increase the membrane permeability to positive ions more markedly than to negative ions. It was also found that the membrane capacitance increases lineary with the concentration of benzyl alcohol. At 51 mM benzyl alcohol, the increase in capacitance is approximately 6%. Chloroform also increases the membrane capacitance; the increase in capacitance was found to be 6% at 18 mM chloroform. An analysis of the changes in the transport parameters of the lipophilic ions, together with the changes in membrane capacitance, suggests that benzyl alcohol and chloroform modify the dipole potential and dielectric constant of the membrane. Benzyl alcohol may also increase the "fluidity" of the lipid bilayer membranes. At 36 mM benzyl alcohol, the membrane permeability to acetamide increases by 38%.     

The study of volt-ampere characteristics of ionic channels formed by gramicidin A

A method of measurement of the non-linearity coefficient of volt-ampere characteristics of the type i(U) approximately = U(1 + beta U2) has been developed for ionic channels formed by gramicidin A, using the third harmonic of the membrane current. The shape of the volt-ampere characteristics (VA) of ionic channels formed by gramicidin A did not depend on the antibiotic concentration in the membrane. The coefficient beta of non-linearity of VA of membranes modified by gramicidin A depended on electrolyte concentration "c" and it increased proportionally with the lg c from -17 V-2 at 0.03 mol/l KC1 to 8 V-2 at 3.4 mol/l KCl, and it was zero at co = 0.3 - 1 mol/l KCl. Egg lecithin and glycerol monooleate (GMO) membranes differ in their co values. The substitution of K+ for Li+ of the membrane solvent (n-heptane for n-hexadecane) did not influence the value of beta; the same applied for GMO membranes without any solvent. In a number of membranes, spontaneous change of the non-linearity coefficient with time observed after the membrane formation, as well as jumps of the non-linearity coefficient at a practically unchanged membrane conductivity. An analysis of some theoretical models of the ion transport through the channel has shown that, at voltages above 200 mV, these models provide rather small values of beta, or extremely high VA non-linearity.     

Alkali ion transport through lipid bilayer membranes mediated by enniatin A and B and beauvericin

Summary Stationary conductance measurements with lipid bilayer membranes in the presence of enniatin A and B and beauvericin were performed. For comparison, some valinomycin systems were investigated. It was found that the conductance in the case of enniatin A and B is caused by a carrier ion complex with a 11 stoichiometry, whereas for beauvericin, a 31 carrier ion complex has to be assumed to explain the dependence of the conductance on carrier and ion concentration in the aqueous phase. The current-voltage curves measured with dioleoyl phosphatidylcholine membranes show a superlinear behavior for the three carriers in the presence of potassium. On the other hand, supralinear current-voltage curves were observed with membranes from different monoglycerides, except for beauvericin. The results obtained with enniatin A and B are in a satisfactory agreement with an earlier proposed carrier model assuming a complexation between carrier and ion at the membrane water interface.The discrimination between potassium and sodium ions is much smaller for the enniatins than for valinomycin. This smaller selectivity as well as the fact that potassium ions cause the highest conductance with lipid bilayer membranes may be due to the smaller size of the cyclic enniatin molecules, which contain 6 residues in the ringvs. 12 in the case of valinomycin. Charge-pulse relaxation studies were performed with enniatin A and B, beauvericin, and valinomycin. For monoolein membranes only in the case of valinomycin, all three relaxations predicted by the model could be resolved. In the case of the probably more fluid membranes from monolinolein (^{9, 12}-C_{18: 2}) and monolinolenin (^{9, 12, 15}-C_{18: 3}) for all carrier systems except for beauvericin, three relaxations were observed.The association rate constantk _R , the dissociation rate constantk _D , and the two translocation rate constantsk _MS andk _s for complexed and free carrier, respectively, could be calculated from the relaxation data. The carrier concentration in the aqueous phase had no influence on the rate constants in all cases, whereas a strong saturation of the association rate constantk _R with increasing ion concentration was found for the enniatins. Because of the saturation,k _R did not exceed a value of 4×10⁵ m ^–1 sec^–1 with 1m salt irrespective of carrier, ion, or membrane-forming lipid.A similar but less pronounced saturation behavior was also observed for the translocation rate constantk _S of the free carrier. The other two rate constants were independent of the ion concentration in the aqueous phase. In the case of the enniatins, the translocation rate constantk _MS was not independent from the kind of the transported ion. In the series K⁺, Rb⁺ and Cs⁺,k _MS increases about threefold. The turnover numbers for the carriers as calculated from the rate constants range between 10⁴ sec^–1 and 10⁵ sec^–1 and do not show a strong difference between the individual carriers. The conductance difference in the systems investigated here is therefore mainly caused by the partition coefficients, which are smaller for the enniatins than for valinomycin.     

Study of the volt-ampere characteristics of ion channels by transmembrane current harmonics

A method is proposed for measuring the coefficient of non--linearity beta of current--voltage characteristics of the class i (U) approximately U (1 + beta U2) of ionic channels formed by grammicidine A (Gra) and amphotericine B by the 3rd harmonics of the membrane current. For Gra A beta depends on the concentration of electrolyte c increasing lg c from -17 B-2 at 0.03 M to 8 B-2 at 3.4 M KCl turning to 0 at c0 = 0.3 divided by 1 M. The membranes of egg lecithin and glycerylmonooleate (GMO) differ in c0 value. Substitution of K+ ion for Li+, of the membrane solvent (n-heptane for n-hexadecane) and freezing of the GMO membrane do not affect beta.