Semiconductor theory of ion transport in thin lipid membranes: I. Potential and field distributions

In the theory as presented in this paper and the following one, we shall attempt to apply the semiconductor principles and methods to the study of ion transport in thin lipid membranes. Detailed formulations are given on the potential energy barriers at the interfaces, voltage drops in the polar and non-polar regions, and potential and field distributions in the diffuse double layer and within a charged membrane. These results will be used mainly as the boundary conditions for the solution of ion flow as to be given in the following paper. The analysis clearly indicates that the ion transport is interface-limited and is profoundly influenced by the presence of surface charges. An explanation of Na⁺ extrusion in nerve membrane is given based on the field distribution analysis. The theory also suggests that the “membrane potential” depends mainly on surface charges but not necessarily on ion permeation through the membrane.     

Kinetics of macrotetrolide-induced ion transport across lipid bilayer membranes

Ion transport across lipid bilayer membranes in the presence of macrotetrolide antibiotics has been studied by stationary conductance and nonstationary relaxation methods. The results are discussed on the basis of a carrier model which has already been successfully applied to valinomycin induced ion transport. Again a kinetic analysis has been performed from which the single rate constants of the carrier model could be derived. In addition the equilibrium constant of complex formation in the aqueous phase could be determined. Measurements have been made for 4 macrotetrolides, for several ions and for various chain lengths of the lipids molecules composing the membrane.     

Kinetics of ion transport in lipid membranes induced by lysine-valinomycin and derivatives.

Lysine-valinomycine and two N epsilon-acyl derivatives are compared with respect to their potency to transport Rb+ ions across thin lipid membranes. Lysine-valinomycin acts as a neutral ion carrier only above a pH of about 7 of the aqueous solutions, while at lower pH the molecules seem to be positively charged due to a protonation of the epsilon-NH2 group of the lysine residue. A kinetic analysis based on voltage jump relaxation experiments and on the nonlinearity of the current-voltage characteristics showed that the conductance increment delta per carrier molecule for uncharged lysine-valinomycin is similar to that of natural valinomycin. The attachment of a rather bulky side group such as the dansyl or para-nitrobenzyloxycarbonyl group reduced delta by approximately one order of magnitude. Some of the relaxation data of the valinomycin analogues were influenced by an unspecific relaxation of the pure lipid membrane. This structural relaxation represents a limitation to the possibility of analyzing specific transport systems in thin lipid membranes by the voltage jump or charge pulse techniques. It is shown that the time dependence of this structural relaxation--which was first published by Sargent (1975)--is at variance with a three capacitor equivalent circuit of the membrane, which was suggested by Coster and Smith (1974) on the basis of a.c. measurements. A modified equivalent circuit has been found to represent a satisfactory analogue for the current relaxation in the presence of valinomycin. It turned out, however, that such an equivalent circuit provides little insight into the molecular mechanism of transport.     

Inactivation of monazomycin-induced voltage-dependent conductance in thin lipid membranes. II. Inactivation produced by monazomycin transport through the membrane

At sufficiently large conductances, the voltage-dependent conductance induced in thin lipid membranes by monazomycin undergoes inactivation. This is a consequence of depletion of monazomycin from the membrane solution interface, as monazomycin crosses the membrane to the opposite (trans) side from which it was added. The flux of monazomycin is directly proportional to the monazomycin-induced conductance; at a given conductance it is independent of monazomycin concentration. We conclude that when monazomycin channels break up, some or all of the molecules making up a channel are deposited on the trans side. We present a model for the monazomycin channel: approximately five molecules, each spanning the membrane with its NH3+ on the trans side and an uncharged hydrophilic (probably sugar) group anchored to the cis side, form an aqueous channel lined by--OH groups. The voltage dependence arises from the flipping by the electrical field of molecules lying parallel to the cis surface into the "spanned state;" the subsequent aggregation of these molecules into channels is, to a first approximation, voltage independent. The channel breakup that deposits monomers on the trans side involves the collapsing of the channel in such a way that the uncharged hydrophilic groups remain in contact with the water in the channel as they close the channel from behind. We also discuss the possibility that inactivation of sodium channels in nerve involves the movement from one side of the membrane to the other of the molecules (or molecule) forming the channel.     

Simple model of ion transport through alamethicin channels in lipid membranes

The electrical characteristics of wide membrane channels such as those induced in lipid membranes by alamethicin have been analyzed using an electrodiffusion model. The channel is considered to be a water filled cylinder in which the potential energy barrier is a result of the difference in polarization energy of the ion environment when the ion is located inside as compared to outside of the channel. In addition, an electric field related to the channel structure is assumed. It is shown that without postulating any specific chemical ion-channel interaction one can reproduce experimental membrane potentials for NaCl, KCl, and CaCl₂ concentration gradients with a single set of channel parameters. The calculations also yield experimental J-V characteristics of discrete conduction states. In addition, a simple mechanism of interchannel coupling based on the above model is discussed. The model suggests a unifying approach to the problem of the origin of interionic selectivity of membrane channels induced by polyene antibiotics.     

Influence of sterols on ion transport through lipid bilayer membranes

Charge-pulse relaxation experiments with the negatively charged lipophilic ions, dipicrylamine and tetraphenylborate, (as well as with the positively charged carrier system Rb⁺-valinomycin) have been carried out in order to study the influence of sterols on the ion transport through the lipid bilayer membrane. The mol fraction of the sterols (cholesterol, epicholesterol, ergosterol, stigmasterol, dihydrocholsterol, epicoprostanol and cholesterololeate) as referred to total lipid was varied in a wide range (mol fractions 0–0.8).The monoolein/sterol or dioleoylphosphatidylcholine/sterol mixtures were dissolved in $\text{n}$-hexadecane in order to minimize effects of the sterol on the membrane thickness.Cholesterol had a strong influence on the transport of the lipophilic ions. Its incorporation into monoolein membranes increased the rate constant ${}_{\mathrm{<mtext>i</mtext>}}$ of translocation up to 8-fold, but incorporation into phosphatidylcholine membranes had virtually no influence on $\text{k}{}_{\mathrm{<mtext>i</mtext>}}$. The other sterols with one hydroxy group and cholesterololeate had no influence on the rate constant or the partition coefficient β. The results are discussed on the basis of a possible change of dipole potential of the membrane caused by cholesterol and its derivatives.In the case of valinomycin-mediated Rb⁺ transport only cholesterol had a strong influence on transport properties. The rate constants of association ($\text{k}{}_{\mathrm{<mtext>R</mtext>}}$) as well as the rate constants of translocation of the complex ($\text{k}{}_{\mathrm{<mtext>MS</mtext>}}$) and of the free carrier ($\text{k}{}_{\mathrm{<mtext>S</mtext>}}$) were reduced by incorporation of cholesterol up to eight-fold. The decrease of $\text{k}{}_{\mathrm{<mtext>S</mtext>}}$ and $\text{k}{}_{\mathrm{<mtext>MS</mtext>}}$ are possibly caused by a decrease of membrane fluidity, whereas the decrease of $\text{k}{}_{\mathrm{<mtext>R</mtext>}}$ may be due to an increase of surface potential. The different action of cholesterol on the two transport systems is discussed under the assumption that the adsorption plane of the lipophilic ion is located more towards the aqueous side and that of the ion-carrier complexes more towards the hydrocarbon side of the dipole layer.     

Millimeter microwave effect on ion transport across lipid bilayer membranes

The effects of millimeter microwaves in the frequency range of 54–76 GHz on capacitance and conductance of lipid bilayer membranes (BLM) were studied. Some of the membranes were modified by gramicidin A and amphotericin B or by tetraphenylboron anions (TPhB_?). The millimeter microwaves were pulse-modulated (PW) at repetition rates ranging from 1 to 100 pps, PW at 1000 pps, or unmodulated continuous waves (CW). The maximum output power at the waveguide outlet was 20 mW. It was found that CW irradiation decreased the unmodified BLM capacitance by 1.2% ± 0.5%. At the same time, membrane current induced by TPhB transport increased by 5% ± 1%. The changes in conductance of ionic channels formed by gramicidin A and amphotericin B were small (0.6% ± 0.4%). No “resonance-like” effects of mm-wave irradiation on membrane capacitance, ionic channel currents, or TPhB transport were detected. All changes in membrane capacitance and currents were independent of the modulation employed and were equivalent to heating by approximately 1.1 °C. © 1995 Wiley-Liss, Inc.     

Ionic transport in lipid bilayer membranes.

The current-voltage relationships of model bilayer membranes have been measured in various phospholipid systems, under the influence of both a gradient of potential and an ionic concentration, in order to describe the ion translocation through hydrated transient defects (water channels) across the bilayer formed because of lipid structure fluctuations and induced by temperature. The results have been analyzed in the light of a statistical rate theory for the transport process across a lipid bilayer, recently proposed by Skinner et al. (1993). In order to take into account the observed I-V curves and in particular the deviation from an ohmic behavior observed at high potential values, the original model has been modified, and a new version has been proposed by introducing an additional kinetic process. In this way, a very good agreement with the experimental values has been obtained for all of the systems we have investigated (dimyristoylphosphatidyl ethanolamine bilayers and mixed systems composed by dimyristoylphosphatidyl ethanolamine/dimyristoylphosphatidylcholine mixtures and dimyristoylphosphatidyl ethanolamine/phosphatidic acid dipalmitoyl mixtures). The rate constants governing the reactions at the bilayer interfaces have been evaluated for K+ and Cl- ions, as a function of temperature, from 5 to 35 degrees C and bulk ionic concentrations from 0.02 to 0.2 M. Finally, a comparison between the original model of Skinner and the modified version is presented, and the advantages of this new formulation are briefly discussed.     

Kinetics of ion transport in lipid membranes induced by lysine-valinomycin and derivatives

Summary Lysine-valinomycin and two N-acyl derivatives are compared with respect to their potency to transport Rb⁺ ions across thin lipid membranes. Lysine-valinomycin acts as a neutral ion carrier only above a pH of about 7 of the aqueous solutions, while at lower pH the molecules seem to be positively charged due to a protonation of the -NH₂ group of the lysine residue.A kinetic analysis based on voltage jump relaxation experiments and on the nonlinearity of the current-voltage characteristics showed that the conductance increment per carrier molecule for uncharged lysine-valinomycin is similar to that of natural valinomycin. The attachment of a rather bulky side group such as the dansyl or para-nitrobenzyloxycarbonyl group reduced by approximately one order of magnitude.Some of the relaxation data of the valinomycin analogues were influenced by an unspedfic relaxation of the pure lipid membrane. This structural relaxation represents a limitation to the possibility of analyzing specific transport systems in thin lipid membranes by the voltage jump or charge pulse techniques. It is shown that the time dependence of this structural relaxation — which was first published by Sargent (1975) — is at variance with a three capacitor equivalent circuit of the membrane, which was suggested by Coster and Smith (1974) on the basis of a.c. measurements. A modified equivalent circuit has been found to represent a satisfactory analogue for the current relaxation in the presence of valinomycin. It turned out, however, that such an equivalent circuit provides little insight into the molecular mechanism of transport.     

Influence of membrane structure on ion transport through lipid bilayer membranes

Summary Charge-pulse relaxation studies with the positively charged PV-K⁺ complex (cyclo-(d-Val-l-Pro-l-Val-d-Pro)₃) and the negatively charged lipophilic ion dipicrylamine (DPA^–) have been performed in order to study the influence of structural properties on ion transport through lipid bilayer membranes. First, the thickness of monoolein membranes was varied over a wide range using differentn-alkanes and slovent-free membranes. The thickness (d) of the hydrocarbon core of these membranes varied between 4.9 and 2.5 nm. For both transport systems the partition coefficient was found to be rather insensitive to variations ind. The same was valid for the translocation rate constantk _MS of PV-K⁺, whereas a strong increase of the translocation rate constantk _i of DPA-with decreasingd was observed. In a further set of experimental conditions the structure of the lipids, such as number and position of the double bonds in the hydrocarbon chain and its chain length as well as the nature of the polar head group, was varied. The translocation constantk _MS of PV-K⁺ transport was found to be much more sensitive to these variations thank _i of DPA-.Much larger variations ink _i andk _MS were observed in membranes made from lipids with ether instead of ester linkages between glycerol backbone and hydrocarbon chain. The results are in qualitative agreement with the surface potentials of monolayers made from corresponding lipids. Increasing amounts of cholesterol in membranes of dioleoylphosphatidylcholine caused a strong decrease ofk _MS (PV-K⁺), whereask _i was found to be rather insensitive to this variation.In monoolein membranes cholesterol causes a decrease ofk _MS up to sixfold and a increase ofk _i up to eightfold. The partition coefficient of DPA^– was insensitive to cholesterol, whereas of PV-K⁺ was found to decrease about eightfold in these membranes. The influence of cholesterol onk _MS is discussed on the basis of viscosity changes in the membrane and the change ink _i of DPA^– and of PV-K⁺ on the basis of a possible change of the dipole potential of the membranes. The other sterols, epicholesterol and ergosterol cause no change in the kinetics of the two probes.The different influence of membrane properties like thickness, viscosity, and dipole potential on the two transport systems is discussed under the assumption that the adsorption planes of the two probes have different positions in a membrane. Possibly because of a larger hydrophobic interaction, the adsorption plane of PV-K⁺ is located more towards the hydrocarbon side and that of DPA^– more towards the aqueous side of the dipole layer.     

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.     

Surface areas of lipid membranes

Upon photolysis, alkyl pentacyanocobaltate complexes generate alkyl radicals which react rapidly and specifically with nitroxide radicals, and which do not penetrate phospholipid bilayers. By measuring the loss of paramagnetic resonance signal intensity when multilamellar liposomes containing a small amount of spin-labeled lipid are exposed to these radicals, we have measured the proportion of lipid on the external surface of liposomes. We have shown that liposomes prepared under specified conditions from dimyristoylphosphatidylcholine, dipalmitoylphosphatidylcholine, and binary mixtures of dipalmitoylphosphatidylcholine and cholesterol all have the same proportion of external lipid.     

Modification of ion transport in lipid bilayer membranes by the insecticides DDT and DDE

In order to elucidate the mechanism of action of organochlorine insecticides on the ion transport in biological membranes, we have studied the effect of DDT and its analog DDE on the structural parameters of phosphatidylethanolamine (PE) planar bilayers. DDT and DDE increase the conductance induced by the hydrophobic ions tetraphenylarsonium (TPhAs⁺) and tetraphenylborate (TPhB^?) in lipid bilayers. Neither DDT nor DDE alters the surface potential of PE monolayers. On the other hand, these organochlorine compounds increase only slightly the electric capacitance of the bilayers. These results are compatible with the hypothesis that these insecticides increase the fluidity of the membrane.     

Cobaltous ion inhibition of lipid peroxidation in biological membranes.

The effect of cobalt on lipid peroxidation in biological membranes, phospholipid liposomes and fatty acid micelles was investigated. Cobaltous ion, at micromolar concentrations, inhibited iron-ascorbate induced lipid peroxidation in erythrocyte ghosts, microsomes and phosphatidylserine liposomes at pH 7.4. The pH seemed to be important for the anti-peroxidative effect of cobalt, because under slightly acidic conditions cobalt did not inhibit peroxidation. Cobalt was less effective in inhibiting peroxidation stimulated by organic hydroperoxides. Iron-ascorbate induced lipid peroxidation was also inhibited by EDTA. However, certain ratios of EDTA: cobalt in the reaction mixture stimulated peroxidation. Cobalt did not inhibit lipid peroxidation in linoleic acid micelles and phosphatidylethanolamine liposomes. The presence of phosphatidylserine, however, rendered these micelles and liposomes to cobalt inhibition. We conclude that the cobaltous ion is a potent inhibitor of lipid peroxidation in biological membranes and that the binding of cobalt to phosphatidylserine is necessary for the inhibitory effect of this metal ion.