Electrical noise from lipid bilayer membranes in the presence of hydrophobic ions

In the presence of the hydrophobic ion dipicrylamine, lipid bilayer membranes exhibit a characteristic type of noise spectrum which is different from other forms of noise described so far. The spectral density of current noise measured in zero voltage increases in proportion to the square of frequency at low frequencies and becomes constant at high frequencies. The observed form of the noise spectrum can be interpreted on the basis of a transport model for hydrophobic ions in which it is assumed that the ions are adsorbed in potential-energy minima at either membrane surface and are able to cross the central energy barrier by thermal activation. Accordingly, current-noise results from random fluctuations in the number of ions jumping over the barrier from right to left and from left to right. On the basis of this model the rate constant ki for the translocation of the hydrophobic ion across the barrier, as well as the mean surface concentration Nt of adsorbed ions may be calculated from the observed spectral intensity of current noise. The values of ki obtained in this way closely agree with the results of previous relaxation experiments. A similar, although less quantitative, agreement is also found for the surface concentration Nt.     

Chemical and solvent effects on the interaction of tetraphenylborate with lipid bilayer membranes

Alkali metal salts of tetraphenylboron dissociate in aqueous solution to yield the hydrophobic anion, BPh₄^?, which is strongly adsorbed at the surfaces of lipid bilayer membranes. Upon application of a transmembrane voltage pulse these anions cross the membrane without appreciable desorption, thereby exhibiting a transient electrical conductance. The relaxation time of this transient is governed by the height of the central potential barrier which the anions must surmount in crossing the membrane. Because of discrete charge effects, the barrier height and hence the observed relaxation time increase markedly with increasing surface density of adsorbed BPh₄^?. Since adsorbed BPh₄^? are in partition equilibrium with the same species dissolved in the aqueous phase, measurement of the relaxation time for BPh₄^? membrane conductance can be used to assay the aqueous-phase concentration of the hydrophobic anion. In this way we have observed the precipitation of KBPh₄ in water, obtaining a solubility concentration product of 1.0·10^?7 mol²·dm^?6 for the precipitation reaction at 25°C. This result is larger by a factor of two than the most directly comparable published values from other sources. In additional experiments we have reduced the polarity of the aqueous phases bathing the membrane by adding varying amount of ethylene glycol to the water. Using the same conductance relaxation assay, we have determined that partitioning of BPh₄^? into the membrane/solution interfaces is lessened as the polarity of the bathing solutions is reduced. This result is attributed to a lowering of the chemical potential of the BPh₄^? in the less polar medium.     

Dielectric saturation of the aqueous boundary layers adjacent to charged bilayer membranes

Summary The surface charge density resulting from the adsorption of hydrophobic anions of dipicrylamine onto dioleyl-lecithin bilayer membranes has been measured directly using a high field pulse method. The surface charge density increases linearly with adsorbate concentration in the water until electrostatic repulsion of impinging hydrophobic ions by those already adsorbed becomes appreciable. Then Gouy-Chapman theory predicts that surface charge density will increase sublinearly, with the power [z ⁺/(z ⁺+2)] of the adsorbate concentration, wherez ⁺ is the cation valence of the indifferent electrolyte screening the negatively charged membrane surface. The predicted 1/3 and 1/2 power laws for univalent and divalent cations, respectively, have been observed in these experiments using Na⁺, Mg⁺⁺, and Ba⁺⁺ ions. Gouy-Chapman theory predicts further that the change from linear to sublinear dependence takes place at a surface charge density governed by the static dielectric constant of water and the concentration of indifferent electrolyte. Quantitative agreement with experiment is obtained at electrolyte concentrations of 10^–4 m and 10^–3 m, but can be maintained at higher concentrations only if the aqueous dielectric constant is decreased. A transition field model is proposed in which the Gouy-Chapman theory is modified to take account of dielectric saturation of water in the intense electric fields adjacent to charged membrane surfaces.     

Electrical noise from lipid bilayer membranes in the presence of hydrophobic ions

Summary In the presence of the hydrophobic ion dipicrylamine, lipid bilayer membranes exhibit a characteristic type of noise spectrum which is different from other forms of noise described so far. The spectral density of current noise measured at zero voltage increases in proportion to the square of frequency at low frequencies and becomes constant at high frequencies. The observed form of the noise spectrum can be interpreted on the basis of a transport model for hydrophobic ions in which it is assumed that the ions are adsorbed in potential-energy minima at either membrane surface and are able to cross the central energy barrier by thermal activation. Accordingly, current-noise results from random fluctuations in the number of ions jumping over the barrier from right to left and from left to right. On the basis of this model the rate constantk _i for the translocation of the hydrophobic ion across the barrier, as well as the mean surface concentrationN _t of adsorbed ions may be caluculated from the observed spectral intensity of current noise. The values ofk _i obtained in this way closely agree with the results of previous relaxation experiments. A similar, although less quantitative, agreement is also found for the surface concentrationN _t .     

Autocorrelation analysis of hydrophobic ion current noise in lipid bilayer membranes.

The autocorrelation function of a given process is related to its spectral density by the Wiener-Khintchine theorem, and both expressions contain the same information. We report here a measurement of the current noise produced in a lipid bilayer membrane doped with hydrophobic anions of dipicrylamine. The results are in good agreement both with relaxation measurements on the same membrane and with an analysis of the spectral density of the current noise for this system which has been presented by other workers. Although measurement of the spectral density function is generally more complete for technical reasons, the autocorrelation function provides, for the case studied here, more physical insight into the underlying charge transport mechanism. We find that the measured autocorrelation function is negative at short, but nonzero, times. This is a consequence of the operative conductance mechanism in this case, which cannot carry current continuously in the same direction without compensatory reverse flow.     

Evidence for the presence of mobile charges in the cell membrane of Valonia utricularis.

Charge-pulse relaxation studies were performed on cells of the giant marine alga Valonia utricularis with microelectrodes inserted into the vacuole. If the cell was charged by short pulses of 200 ns duration, the decay of the initial membrane voltage could be described by two relaxation processes at normal pH (8.2). The fast exponential relaxation had a time constant of approximately 100 microseconds whereas the the time constant of the slow relaxation ranged between 2 and 15 ms. The ratio of the two amplitudes varied between 10 and 20 and was found to be independent of the initial voltage, up to 400 mV. In contrast to the time constants, the amplitude ratio was a function of the duration of the charge pulse. As the pulse length was increased to 10 ms, the fast relaxation disappeared. A change in pH of the natural sea water from 8.2 to 4 resulted in the disappearance of both exponential processes and the appearance of one single exponential with a 1-ms time constant over the whole pulse-length range. The analysis of the data in terms of a two-membrane model leads to unusual values and a pH-dependence of the specific capacitances (0.6 and 6 microF cm-2) of the two membranes, which can be treated as two serial circuits of a capacitor and a resistor in parallel. The charge-pulse and the current-clamp data are consistent with the assumption that the cell membrane of V. utricularis contains mobile charges with a total surface concentration of approximately 4 pmol cm-2. These charges cross the membrane barrier with a translocation rate constant around 500 s-1 and become neutralized at low pH. From our experimental results it cannot be completely excluded that the tonoplast has also a high specific resistance. But in this case it has to be assumed that the tonoplast and plasmalemma have very similar electrical properties and contain both mobile charges, so that the two membranes appear as a single membrane. Experiments on artificial lipid bilayer membranes in the presence of the lipophilic ion dipicrylamine, support our mobile charge concept for the cell membrane of V. utricularis.     

Transport mechanism of hydrophobic ions through lipid bilayer membranes

Summary Evidence is presented that the transport of lipid-soluble ions through bilayer membranes occurs in three distinct steps: (1) adsorption to the membranesolution interface; (2) passage over an activation barrier to the opposite interface; and (3) desorption into the aqueous solution. Support for this mechanism comes from a consideration of the potential energy of the ion, which has a minimum in the interface. The formal analysis of the model shows that the rate constants of the individual transport steps can be determined from the relaxation of the electric current after a sudden change in the voltage. Such relaxation experiments have been carried out with dipicrylamine and tetraphenylborate as permeable ions. In both cases the rate-determining step is the jump from the adsorption site into the aqueous phase. Furthermore, it has been found that with increasing ion concentration the membrane conductance goes through a maximum. In accordance with the model recently developed by L. J. Bruner, this behavior is explained by a saturation of the interface, which leads to a blocking of the conductance at high concentrations.     

Wave-guide spectroscopy on planar lipid bilayers doped with hydrophobic ions

Wave-guide spectroscopy exploits the light pipe properties of planar lipid bilayers by propagating a light wave along the plane of the bilayer. Applying this technique to the optical absorption of chromophore in the membrane, results in an enhanced sensitivity when compared to normal incidence spectroscopy. This gain factor is of the order of 100 per mm optical path along the bilayer, thus transforming the weak absorbances in lipid membranes into easily measurable quantities. Wave-guide spectroscopy has been used to measure the adsorption isotherm of hydrophobic dipicrylamine ions in a phosphatidylcholine membrane. The adsorption isotherm is linear for low aqueous concentrations, in the micromolar range however, it changes into a sublinear dependence. The addition of an inert alkali salt to the electrolyte favours the adsorption of hydrophobic ions. Current saturation is observed with the transition to the sublinear isotherm. When using the time constant for current relaxation as an indicator of changes in the magnitude of the surface potential, it does not seem to vary with the additional dipicrylamine which adsorbs in the presence of high concentrations of alkali salt in the electrolyte. A compensation of hydrophobic charge by the alkali ions from the inert electrolyte is proposed.     

The interaction of hydrophobic ions with lipid bilayer membranes

Summary Electrical relaxation studies have been made on lecithin bilayer membranes of varying chain length and degree of unsaturation, in the presence of dipicrylamine. Results obtained are generally consistent with a model for the transport of hydrophobic ions previously proposed by Ketterer, Neumcke, and Läuger (J. Membrane Biol. 5:225, 1971). This model visualizes as three distinct steps the interfacial adsorption, translocation, and desorption of ions. Measurements at high electric field yield directly the density of ions adsorbed to the membrane-solution interface. Variation of temperature has permitted determination of activation enthalpies for the translocation step which are consistent with the assumption of an electrostatic barrier in the hydrocarbon core of the membrane. The change of enthalpy upon adsorption of ions is, however, found to be negligible, the process being driven instead by an increase of entropy. It is suggested that this increase may be due to the destruction, upon adsorption, of a highly ordered water structure which surrounds the hydrophobic ion in the aqueous phase. Finally, it is shown that a decrease of transient membrane conductance observed at high concentration of hydrophobic ions, previously interpreted in terms of interfacial saturation, must instead be attributed to a more complex effect equivalent to a reduction of membrane fluidity.Research performed while on sabbatical leave April-September, 1974.     

A molecular toolkit for highly insulating tethered bilayer lipid membranes on various substrates

Tethered bilayer lipid membranes (tBLMs) are promising model architectures that mimic the structure and function of natural biomembranes. They provide a fluid, stable, and electrically sealing platform for the study of membrane related processes, specifically, the function of incorporated membrane proteins. This paper presents a generic approach toward the synthesis of functional tBLMs adapted for application to various surfaces. The central element of a tethered membrane consists of a lipid bilayer. Its proximal layer is covalently attached via a spacer unit to a solid support, either gold or silicon oxide. The membranes are characterized optically by using surface plasmon resonance spectroscopy (SPR) or ellipsometry and electrically by using electrochemical impedance spectroscopy (EIS). The bilayer membranes obtained show high electrical barrier properties and can be used to incorporate and study small membrane proteins in a functional form.     

The influence of hydrophobic ions and dipolar molecules on the electrostatic barrier in biomembranes

To calculate the electric field inside a membrane the aqueous phase can be approximated by a conductor since the dielectric constant of water is much larger than that of the membrane. Then, using the method of image charges, ions adsorbed inside the membrane can be considered as dipoles and dipolar molecules adsorbed inside the membrane may similarly be regarded as sets of two similarly oriented dipoles. The microscopic interactions and, therefore, the spatial correlations of the adsorbed species can then be obtained. Together with the Gouy theory for the diffuse double layer these results allow the determination of the adsorbed phase—aqueous phase equilibrium. From the densities and spatial correlations of the adsorbed ions and dipolar species, their influence upon the electrostatic barrier as experienced by an ion translocating the membrane can be calculated. Changes observed in the relaxation time and initial conductance of translocating hydrophobic ions in voltage-pulse experiments on bilayer membranes are predicted using this model of the electrostatic barrier. In addition, an equation giving the surface tension as a function of the (non-ideal) adsorption of hydrophobic ions and dipoles is derived.     

Hydrophobic ion probe studies of membrane dipole potentials

Hydrophobic anions of dipicrylamine and of sodium tetraphenylborate have been employed as probes of interfacial dipole potential variations in lipid bilayer membranes. Systematic variation of dipole potentials has been achieved by introduction of compounds incorporating N⁺ and B^? charge centers. Distribution of hydrophilic and and hydrophobic groups relative to these charge centers has been shown to control the orientation in the membrane/solution interface of the electric dipole moment formed by these centers. Thus triphenyl-[4-trimethylphenylammonium] borate orients with the B^? center, surrounded by phenyl groups, embedded in the membrane, while the smaller methylated N⁺ center is directed toward the aqueous phases. This orientation has been confirmed using dipicrylamine probe ions. Results obtained in this system have been interpreted quantitatively using a previously developed model incorporating discrete charge effects. A second class of compounds, $\text{tri}\text{-n-}\text{alkylamine}$ borane (T_nAB) complexes having the generic formula (C_nH_{$\text{2n+1}$})₃N⁺B^?H₃, have also been synthesized for this study, using even-carbon alkyls ranging from ethyl to decyl. Molecular orientation of the complex is with the N⁺ center and its associated alkyl groups directed into the membranes, while the protonated B^? center is directed toward the aqueous phases, as confirmed by use of tetraphenylborate ions as probes.     

How do protons cross the membrane-solution interface? Kinetic studies on bilayer membranes exposed to the protonophore S-13 (5-chloro-3-tert-butyl-2′-chloro-4′ nitrosalicylanilide)

Summary A simple carrier model describes adequately the transport of protons across lipid bilayer membranes by the weak acid S-13. We determined the adsorption coefficients of the anionic, A^–, and neutral, HA, forms of the weak acid and the rate constants for the movement of A^– and HA across the membrane by equilibrium dialysis, electrophoretic mobility, membrane potential, membrane conductance, and spectrophotometric measurements. These measurements agree with the results of voltage clamp and charge pulse kinetic experiments. We considered three mechanisms by which protons can cross the membranesolution interface. An anion adsorbed to the interface can be protonated by (i) a H⁺ ion in the aqueous phase (protolysis), (ii) a buffer molecule in the aqueous phase or (iii) water molecules (hydrolysis). We demonstrated that the first reaction cannot provide the required flux of protons: the rate at which H⁺ must combine with the adsorbed anions is greater than the rate at which diffusion-limited reactions occur in the bulk aqueous phase. We also ruled out the possibility that the buffer is the main source of protons: the rate at which buffers must combine with the adsorbed anions is greater than the diffusion-limited rate when we reduced the concentration of polyanionic buffer adjacent to the membrane-solution interface by using membranes with a negative surface charge. A simple analysis demonstrates that a hydrolysis reaction can account for the kinetic data. Experiments at acid pH demonstrate that the transfer of H⁺ from the membrane to the aqueous phase is limited by the rate at which OH combines with adsorbed HA and that the diffusion coefficient of OH^– in the water adjacent to the bilayer has a value characteristic of bulk water. Our experimental results demonstrate that protons are capable of moving rapidly across the membrane-solution interface, which argues against some mechanisms of local chemiosmosis.     

The mechanism of action of DNP on phospholipid bilayer membranes

Summary The weak acid 2,4-dinitrophenol (DNP) acts as an uncoupler of oxidative phosphorylation in biological systems and, in consonance with the Mitchell hypothesis, also enhances the conductance of phospholipid bilayer membranes. Several models have been proposed in the literature to explain the molecular mechanism by which DNP exerts its electrical effects on the model membranes, none of which accounts for all of the data, and all of which ignore the possibility that the anion of DNP is also binding to the surface of the bilayer and modifying the charge density. Experimental evidence is presented in this report which suggests that when a bilayer membrane is formed from a neutral lipid, DNP does in fact adsorb to its surface and produce a substantial negative surface potential. When this phenomenon is taken into account, the model proposed by Lea and Croghan and by Finkelstein is capable of describing all of the effects of DNP on bilayer membranes. In this model, the permeant species is a negatively charged complex formed from the undissociated acid and its anion.     

Fluorescence measurements of environmental relaxation at the lipid-water interface region of bilayer membranes

Nanosecond time-resolved emission spectroscopy is used to characterize the complex fluorescence behavior of the probe 2-p-toluidinonaphthalene 6-sulfonate (2,6 p-TNS) when adsorbed to several bilayer membrane system. These include egg phosphatidylcholine vesicles with and without added cholesterol as well as erythrocyte ghost membranes. In each case a nanosecond time-dependent shift of the fluorescence emission to lower energy follows pulsed photoexcitation. The properties of the time-resolved surfaces obtained are consistent with a non-exponential decay law which describes a continuous interaction process of 2,6 p-TNS with its local environment in the membrane. This environment consists in part of polar residues (water plus polar head region) undergoing nanosecond motions. The pure phosphatidylcholine bilayer system was studied at four temperatures and electronic and spectral relaxation contributions to the total fluorescence decay were separated. Temperature coefficients for empirical rate parameters derived for the separated processes were obtained. It appears that a treatment of the fluorescence behavior of amphiphilic probes such as 2,6 p-TNS adsorbed to bilayer membranes at temperatures near ambient in which a single lifetime and radiative decay channel have been assumed is inappropriate.     

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.     

The adsorption of phloretin to lipid monolayers and bilayers cannot be explained by langmuir adsorption isotherms alone.

Phloretin and its analogs adsorb to the surfaces of lipid monolayers and bilayers and decrease the dipole potential. This reduces the conductance for anions and increases that for cations on artificial and biological membranes. The relationship between the change in the dipole potential and the aqueous concentration of phloretin has been explained previously by a Langmuir adsorption isotherm and a weak and therefore negligible contribution of the dipole-dipole interactions in the lipid surface. We demonstrate here that the Langmuir adsorption isotherm alone is not able to properly describe the effects of dipole molecule binding to lipid surfaces--we found significant deviations between experimental data and the fit with the Langmuir adsorption isotherm. We present here an alternative theoretical treatment that takes into account the strong interaction between membrane (monolayer) dipole field and the dipole moment of the adsorbed molecule. This treatment provides a much better fit of the experimental results derived from the measurements of surface potentials of lipid monolayers in the presence of phloretin. Similarly, the theory provides a much better fit of the phloretin-induced changes in the dipole potential of lipid bilayers, as assessed by the transport kinetics of the lipophilic ion dipicrylamine.     

Transport kinetics of dipicrylamine through lipid bilayer membranes. Effects of membrane structure

Charge-pulse current-relaxation studies have been performed with lipid bilayer membranes in the presence of the hydrophobic ion dipicrylamine. From the analysis of the relaxation times and amplitudes the translocation rate constant $\text{k}{}_{\mathrm{<mtext>i</mtext>}}$ of dipicrylamine as well as the partition coefficient β between membrane surface and water could be evaluated. In a first series of experiments membranes made from monoolein or dioleoylphosphatidylcholine in a number of different $\text{n-}\text{alkane}$ solvents were studied, as well as virtually solvent-free bilayer membranes made from monolayers. The thickness $\text{d}$ of the hydrocarbon layer of these membranes varied between 5.0 and 2.5 nm. While β was almost insensitive to variations in $\text{d}$, a strong decrease of $\text{k}{}_{\mathrm{<mtext>i</mtext>}}$ with increasing membrane thickness was found; the observed dependence of $\text{k}{}_{\mathrm{<mtext>i</mtext>}}$ on $\text{d}$ approximately agreed with the theoretically expected influence of membrane thickness on the height of the dielectric barrier. No specific differences between Mueller-Rudin films and solvent-free (Montal-Mueller) membranes other than differences in thickness were found. In a further series of experiments the chemical structure of the lipid was systematically varied (number and position of double bonds in the hydrocarbon chain, nature of the polar head group). The translocation rate constant $\text{k}{}_{\mathrm{<mtext>i</mtext>}}$ was much larger in phosphatidylethanolamine membranes than in phosphatidylcholine membranes. A strong increase of $\text{k}{}_{\mathrm{<mtext>i</mtext>}}$ was found when the number of double bonds in the hydrocarbon chain was increased from one to three. These changes were discussed in terms of membrane fluidity and dielectric barrier height. Much higher values of $\text{k}{}_{\mathrm{<mtext>i</mtext>}}$ were observed in lipids with ester linkage between hydrocarbon chain and glycerol backbone, as compared with the corresponding ether analogs. This finding is qualitatively consistent with determinations of dipolar potentials in monolayers of ester and ether lipids. When cholesterol is added to phosphatidylcholine membranes, the translocation rate constant $\text{k}{}_{\mathrm{<mtext>i</mtext>}}$ increases up to five-fold, while the partition coefficient β remains virtually constant. The variation of $\text{k}{}_{\mathrm{<mtext>i</mtext>}}$ in this case can be largely accounted for by a decrease in membrane thickness and a concomitant reduction in dielectric barrier height. In membranes made from the negatively charged lipid phosphatidylserine the partition coefficient of dipicrylamine strongly increased with ionic strength, as expected from the Gouy-Chapman theory of the surface potential.     

Ion flux across lipid bilayer membranes with charged surfaces

Summary In this paper we derive expressions for the ion flux across lipid bilayer membranes with charged surfaces treating the membrane as a continuous phase interposed between two electrolyte solutions and calculating the ion flux with the Nernst-Planck equations. The theoretical results are compared with experiments of Seufert and Hashimoto on lipid bilayer membranes with charged surface active agents added to the membranes. If the charge of both membrane surfaces has the same sign the flux of the gegenions is greatly increased whereas the flux of the coions decreases to a small amount. For oppositely charged membrane surfaces the membrane behaves like a np semiconductor and typical rectification voltage-current characteristics are obtained.     

Non-mediated zero voltage conductance of hydrophobic ions through bilayer lipid membranes

A charge pulse technique applied to the study of charge transfer at metal-solution interfaces has been used to determine the capacity and the conductance of a membrane bilayer at both zero time and zero voltage. The transport of hydrophobic ion across a glycerol-monooleate bilayer (tetraphenyl borate, picrate, dipicrylamine and tetraphenyl arsonium) has been investigated by this method. A theoretical approach to the problem has been proposed based on one analogous to that used for the compact double layer at metallic electrodes.