Chronopotentiometric Technique as a Method for Electrical Characterization of Bilayer Lipid Membranes

The basic electrical parameters of bilayer lipid membranes are capacitance and resistance. This article describes the application of chronopotentiometry to the research of lipid bilayers. Membranes were made from egg yolk phosphatidylcholine. The chronopotentiometric characteristic of the membranes depends on the current value. For low current values, no electroporation takes place and the voltage rises exponentially to a constant value. Based on these kinds of chronopotentiometric curves, a method of the membrane capacitance and the membrane resistance calculations are presented.     

Changes of structural and dynamic properties of model lipid membranes induced by α-tocopherol: implication to the membrane stabilization under external electric field

The effects of α-tocopherol on electric properties of bilayer lipid membranes were investigated. Planar bilayer membranes formed by the Mueller-Rudin method were used. Voltammetric and chronopotentiometric measurements were performed using a four-electrode potentiostat-galvanostat. It was demonstrated that registration of membrane capacitance, resistance, and voltammetric characteristics provided information about the change in the structure and permeability of bilayer lipid membranes. The results suggested that incorporation of α-tocopherol into lipid membrane destabilized its structure and facilitated the electrogeneration of pores. The possible role of observed changes in physiological functions of α-tocopherol was discussed.     

Changes of structural and dynamic properties of model lipid membranes induced by alpha-tocopherol: implication to the membrane stabilization under external electric field

The effects of alpha-tocopherol on electric properties of bilayer lipid membranes were investigated. Planar bilayer membranes formed by the Mueller-Rudin method were used. Voltammetric and chronopotentiometric measurements were performed using a four-electrode potentiostat-galvanostat. It was demonstrated that registration of membrane capacitance, resistance, and voltammetric characteristics provided information about the change in the structure and permeability of bilayer lipid membranes. The results suggested that incorporation of alpha-tocopherol into lipid membrane destabilized its structure and facilitated the electrogeneration of pores. The possible role of observed changes in physiological functions of alpha-tocopherol was discussed.     

Planar bilayer membranes made from phospholipid monolayers form by a thinning process.

We investigated the manner in which planar phospholipid membranes form when monolayers are sequentially raised. Simultaneous electrical and optical recordings showed that initially a thick film forms, and the capacitance of the film increases with the same time course as the observed thinning. The diameter of fully thinned membranes varies from membrane to membrane and a torus is readily observed. The frequency-dependent admittance of the membrane was measured using a wide-bandwidth voltage clamp whose frequency response is essentially independent of capacitative load. The membrane capacitance dominates the total admittance and the membrane dielectric is not lossy. The specific capacitance of membranes of several mixtures was measured. A schematic diagram of the formation of these membranes is presented.     

Phase tracking: an improved phase detection technique for cell membrane capacitance measurements.

We describe here a technique called phase tracking that greatly improves the accuracy of measurements of the membrane capacitance of single cells. We have modified the original phase detection technique to include a method for creating calibrated changes in the resistance in series with the cell. This provides a method to automate the adjustment of the phase detector to the appropriate phase angle for measuring membrane capacitance. The phase determination depends only on the cell's electrical parameters and does not require matching of the cell impedance with that of the slow capacitance cancellation circuitry of the patch-clamp amplifier. We show here that phase tracking can accurately locate the phase of the capacitance signal and can keep the detector aligned with this signal during measurements of exocytosis in mast cells, irrespective of the large drifts which occur in cell membrane resistance, membrane capacitance, or series resistance. The phase tracking technique is a valuable tool for quantifying exocytosis and endocytosis in single cells.     

Electrical Properties of Structural Components of the Crystalline Lens

The electrical properties of the crystalline lens of the frog eye are measured with stochastic currents applied with a microelectrode near the center of the preparation and potential recorded just under the surface. The stochastic signals are decomposed by Fourier analysis into sinusoidal components, and the impedance is determined from the ratio of mean cross power to input power. The data are fit by an electrical model that includes two paths for current flow: one through the cytoplasm, gap junctions, and outer membrane; the other through inner membranes and the extracellular space between lens fibers. The electrical properties of the structures of the lens which appear as circuit components in the model are determined by the fit to the data. The resistivity of the extracellular space within the lens is comparable to the resistivity of Ringer. The outer membrane has a normal resistance of 5 kohm · cm² but large capacitance of 10 μF/cm², probably because it represents the properties of several layers of fibers. The inner membranes have properties reminiscent of artificial lipid bilayers: they have high membrane resistance, 2.2 megohm · cm², and low specific capacitance, 0.8 μF/cm². There is so much membrane within the lens, however, that the sum of the current flow across all the inner membranes is comparable to that across the outer surface.     

Electrical properties of the myotendon region of frog twitch muscle fibers measured in the frequency domain

The electrical properties of the end of a muscle fiber were determined using three microelectrodes, one passing sinusoidal current, the other two recording the resulting voltages. An electrical model was constructed from the morphology of the fiber, including the resistance of the extracellular space between cells; the parameters of this model were determined by fitting the model to the observed voltage responses. Our results, analyzed directly or by curve fits, show that the end of muscle fibers contains a large capacitance resulting from the extensive membrane folds at the myotendon junction. Analysis and simulations show that the extra capacitance at the myotendon junction has substantial effects on measurements of linear properties, in particular on estimates of the capacitance of the membranes. There is little qualitative effect on classical measurements of nonlinear charge movement (provided they were made with one set of electrode locations) if the linear components have been subtracted. Quantitative estimates of nonlinear charge movement and ionic currents are significantly affected, however, because these estimates are customarily normalized with respect to the linear capacitance.     

Oxidized cholesterol bilayers. Dependence of electrical properties on degree of oxidation and aging

Black lipid membranes made from oxidized cholesterol were examined for their specific resistance, capacitance, and physical stability, as a function of cholesterol oxidation time and of age. Membranes formed from cholesterol oxidized in n-octane were not physically stable even after 7 h of oxidation unless they were aged for at least a month. Membranes formed from cholesterol oxidized in decane and tetradecane (1 : 1) were stable immediately after 2--6 h of oxidation. Oxidation times outside this range produced unstable membranes. After 1 month storage, membranes from cholesterol solutions oxidized in decane and tetradecane from 0.75--3 h were stable. After 11 months, only the 0.75 oxidation time produced stable membranes. Storage in nitrogen retarded the aging process. After initial forming of the membrane, total membrane area and capacity increased and then stabilized, although specific capacity and resistance did not change, indicating inherent stability in the bilayer's intrinsic electrical properties. Bilayers formed soon after cholesterol oxidation had membrane capacity which ranged from 0.42 to 0.55 muF/cm2. Specific membrane resistance ranged initially from 2 . 10(6) to 37 . 10(6) omega/cm2 in 0.2 M NaCl with lower resistances in the more oxidized membranes. With aging, membrane capacity decreased gradually over 11 months to values approaching 0.1 muF/cm2 indicating membrane thickening. Membrane resistance ordinarily decreases with storage time. The rate of these changes with age is dependent on the extent of initial cholesterol oxidation and subsequent oxidation, with long term stability best in the least oxidized membranes.     

The effect of temperature on capacitance changes in an oscillating model membrane

The electrical properties of model membranes are altered during stretching or pressure pulses. We have used a mechanico-electric transduction model to interpret the temperature dependence of capacitance changes produced in oxidized cholesterol membranes during mechanical oscillation. The relative contribution of the torus and bilayer portions of the membrane to the capacitance change is identified. The difference in elasticity between the bilayer and torus decreases rapidly with decreasing temperature and ultimately the torus becomes as solid as the bilayer portion of the model membrane.     

Fusion of membranes during fertilization. Increases of the sea urchin egg''s membrane capacitance and membrane conductance at the site of contact with the sperm

The early events of fertilization that precede and cause activation of an egg have not been fully elucidated. The earliest electrophysiological change in the sea urchin egg is a sperm-evoked increase of the egg's membrane conductance. The resulting depolarization facilitates entry of the fertilizing sperm and precludes the entry of supernumerary sperm. The sequence of the increase in the egg's membrane conductance, gamete membrane fusion, egg activation, and sperm entry, including causal relationships between these events, are not known. This study reports the use of whole egg voltage clamp and loose patch clamp to monitor simultaneously changes of membrane conductance and capacitance at the site of sperm-egg contact. Measurements were made during sperm-egg interactions where sperm entry readily proceeded or was precluded by maintaining the egg's membrane potential either at large, negative values or at positive values. Whenever the sperm evoked an increase of the egg's membrane conductance, that increase initiated abruptly, was localized to the site of sperm attachment, and was accompanied by a simultaneous abrupt increase of the membrane capacitance. This increase of capacitance indicated the establishment of electrical continuity between gametes (possibly fusion of the gametes' plasma membranes). If sperm entry was blocked by large negative membrane potentials, the capacitance cut off rapidly and simultaneously with a decrease of the membrane conductance, indicating that electrical continuity between gametes was disrupted. When sperm entry was precluded by positive membrane potentials, neither conductance nor capacitance increased, indicating that sperm entry was halted before the fusion of membranes. A second, smooth increase of capacitance was associated with the exocytosis of cortical granules near the sperm in eggs that were activated. Electrical continuity between the gametes always preceded activation of the egg, but transient electrical continuity between the gametes alone was not always sufficient to induce activation.     

Electrical Impedance Analysis in Plant Tissues3

Based on the electrical model for plant tissue proposed by Hayden,Moyse, Calder, Crawford, and Fensom (1969), a method is describedfor calculating symplasmic resistance and cell membrane capacitancefrom impedances measured over a range of alternating current(AC) frequencies. The method of calculation has been appliedto ten different plant organs using frequencies from 20 Hz to300 KHz. In contrast with previous assumptions, it was foundthat both the symplasmic resistance and the membrane capacitancewere not constant but decreased with increasing frequency, giventhe constraints of the Hayden model. In cucumber fruit tissue,the symplasmic resistance was 20 000 ohms at 3 KHz but only1200 ohms at 200 KHz; the capacitance was 2.4 nF at 3 KHz butonly 0.8 nF at 200 KHz. The changes were similar in other materials,such as carrot root and cabbage leaf. It is concluded that theHayden model does not represent plant tissues accurately. Itis suggested that a better representation would be obtainedby including a capacitor in the component of the circuit whichrepresents the symplasm, in order to make allowance for membranesof organelles, particularly the vacuole. Key words: Electrical impedance, electrical modelling, membrane capacitance     

Studies with Composite Membranes: I. Preparation and Measurement of Impedances

Simple and composite membranes have been prepared from 2% collodion solutions containing different amounts of polystyrenesulfonic acid (PSSA). Various membrane parameters such as water content, electrolyte uptake, exchange capacity, and permselectivity of these membranes have been determined. The resistance and capacitance of simple membranes have been measured as functions of both external electrolyte concentration and internal fixed charge density. The impedance characteristics of composite membranes also have been determined and discussed in terms of the resistance and capacitance characteristics of simple membranes from which the composite structures have been formed.     

A new system for bilayer lipid membrane capacitance measurements: method, apparatus and applications.

A new method and a new apparatus for capacitance measurements on bilayer lipid membranes are described. The membrane is charged and discharged with a constant current during the measurement. The charge-discharge cycle duration, which is proportional to the membrane capacitance, is measured. The measured time period is converted into a binary number by digital systems and then this number is either further converted into a constant capacity-proportional voltage or read out by the computer. The apparatus makes it possible to measure the capacitances of voltage-polarized membranes. Application of the apparatus to capacitance measurements of bilayer lipid membranes during their potential on the capacitance is presented. The capacitances of membranes stimulated by rectangular voltage pulses and of those stimulated by a linearly varying potential were reported.     

Electrical Signs of New Membrane Production during Cleavage of Rana pipiens Eggs

Rana pipiens eggs dividing normally in diluted Ringer's solution show an increase in transmembrane potential inside negative, a decrease in resistance, and no change in total surface membrane capacitance at the appearance of a division furrow. Furrows of eggs in solutions with the tonicity of full Ringer develop partially, then regress so that the surface is again spherical. The potential and resistance changes are greater and substantial increases in capacitance occur when furrowing is so inhibited. It is proposed that the electrical changes at division are due to the introduction of new plasma membrane, between the blastomeres, having selective permeability to K and a low resistance compared to the outer spherical membrane. A narrow gap between blastomeres limits current flow through new membrane during normal division. A direct exposure of new membrane to the bathing medium when furrowing is disrupted results in larger changes in potential and resistance and permits the capacitance of new membrane to be detected.     

Effect of diameter on membrane capacity and conductance of sheep cardiac Purkinje fibers

Membrane electrical properties were measured in sheep cardiac Purkinje fibers, having diameters ranging from 50 to 300 mum. Both membrane capacitance and conductance per unit area of apparent fiber surface varied fourfold over this range. Membrane time constant, and capacitance per unit apparent surface area calculated from the foot of the action potential were independent of fiber diameter, having average values of 18.8 +/- 0.7 ms, and 3.4 +/- 0.25 muF/cm2, respectively (mean +/- SEM). The conduction velocity and time constant of the foot of the action potential also appeared independent of diameter, having values of 3.0 +/- 0.1 m/s and 0.10 +/- 0.007 ms. These findings are consistent with earlier suggestions that in addition to membrane on the surface of the fiber, there exists a large fraction of membrane in continuity with the extracellular space but not directly on the surface of the fiber. Combining the electrical and morphological information, it was possible to predict a passive length constant for the internal membranes of about 100 mum and a time constant for chaning these membranes in a passive 100-mum fiber of 1.7 ms.     

Dielectric Spectroscopy and Membrane Organisation

The possible bases for field-mediated effects on cellular processes are reflected in the passive electrical properties of biological systems. The historical, present and prospective utility of dielectric spectroscopy in assessing the static and dynamic organisation of biological membranes is reviewed within this context. The basis for the view that the static capacitance of bioraembranes is as great as 1 fiF/cm² is doubted; contributions from the (partially restricted) motions of membrane components, and of double-layer ions, probably contribute to this apparent value in bioraembrane vesicle suspensions. The importance of improving our knowledge of the static electrical capacitance of energy coupling membranes is stressed. Theoretical and experimental procedures for assessing the contribution of rotational and translational motions of membrane components, and of double-layer/membrane interactions, to dielectric spectra in the approximate frequency range 10 to 10⁷ Hz are described. Finally, three outstanding and generally unsolved problems requiring further work are detailed.     

A synthetic strand of cardiac muscle: its passive electrical properties

The passive electrical properties of synthetic strands of cardiac muscle, grown in tissue culture, were studied using two intracellular microelectrodes: one to inject a rectangular pulse of current and the other to record the resultant displacement of membrane potential at various distances from the current source. In all preparations, the potential displacement, instead of approaching a steady value as would be expected for a cell with constant electrical properties, increased slowly with time throughout the current step. In such circumstances, the specific electrical constants for the membrane and cytoplasm must not be obtained by applying the usual methods, which are based on the analytical solution of the partial differential equation describing a one-dimensional cell with constant electrical properties. A satisfactory fit of the potential waveforms was, however, obtained with numerical solutions of a modified form of this equation in which the membrane resistance increased linearly with time. Best fits of the waveforms from 12 preparations gave the following values for the membrane resistance times unit length, membrane capacitance per unit length, and for the myoplasmic resistance: 1.22 plus or minus 0.13 x 10-5 omegacm, 0.224 plus or minus 0.023 uF with cm-minus 1, and 1.37 plus or minus 0.13 x 10-7 omegacm-minus 1, respectively. The value of membrane capacitance per unit length was close to that obtained from the time constant of the foot of the action potential and was in keeping with the generally satisfactory fit of the recorded waveforms with solutions of the cable equation in which the membrane impedance is that of a single capacitor and resistor in parallel. The area of membrane per unit length and the cross-sectional area of myoplasm at any given length of the preparation were determined from light and composite electron micrographs, and these were used to calculate the following values for the specific electrical membrane resistance, membrane capacitance, and the resistivity of the cytoplasm: 20.5 plus or minus 3.0 x 10-3 omegacm-2, l.54 plus or minus 0.24 uFWITHcm-minus 2, and 180 plus or minus 34 omegacm, respectively.     

Modulation of properties of phospholipid membranes by the long-chain polyprenol (C(160))

The electrical measurements of phospholipid bilayers and the studies of phospholipid vesicles by using the transmission electron microscopy (TEM) showed that dotriacontaprenol (C(160)) isolated from leaves of Spermatophyta influences some properties of membranes. The current-voltage characteristics, the membrane conductance-temperature relationships, the membrane breakdown voltage and the membrane capacitance have been measured for different mixtures of C(160)/DOPC. The membrane conductance, the activation energy of ion migration across the membrane and the membrane thickness were determined. Dotriacontaprenol decreases the membrane breakdown voltage, the activation energy and the membrane capacitance, and increases the membrane conductance and the membrane hydrophobic thickness. The analysis of TEM micrographs shows several characteristic structures, which have been described. The results indicate that dotriacontaprenol increases the membrane elasticity and modulates the surface curvature of the membranes by the formation of fluid microdomains. We suggest that the long polyprenols facilitate the formation of transmembrane, ions-conductive pores.     

Graphene–Cellulose Paper Flexible Supercapacitors

A simple and scalable method to fabricate graphene‐cellulose paper (GCP) membranes is reported; these membranes exhibit great advantages as freestanding and binder‐free electrodes for flexible supercapacitors. The GCP electrode consists of a unique three‐dimensional interwoven structure of graphene nanosheets and cellulose fibers and has excellent mechanical flexibility, good specific capacitance and power performance, and excellent cyclic stability. The electrical conductivity of the GCP membrane shows high stability with a decrease of only 6% after being bent 1000 times. This flexible GCP electrode has a high capacitance per geometric area of 81 mF cm^?2, which is equivalent to a gravimetric capacitance of 120 F g^?1 of graphene, and retains >99% capacitance over 5000 cycles. Several types of flexible GCP‐based polymer supercapacitors with various architectures are assembled to meet the power‐energy requirements of typical flexible or printable electronics. Under highly flexible conditions, the supercapacitors show a high capacitance per geometric area of 46 mF cm^?2 for the complete devices. All the results demonstrate that polymer supercapacitors made using GCP membranes are versatile and may be used for flexible and portable micropower devices.