Compensation for resistance in series with excitable membranes.

Extracellular resistance in series (Rs) with excitable membranes can give rise to significant voltage errors that distort the current records in voltage-clamped membranes. Electrical methods for measurement of and compensation for such resistances are described and evaluated. Measurement of Rs by the conventional voltage jump in response to a current step is accurate but the measurement of sine-wave admittance under voltage-clamp conditions is better, having about a fivefold improvement in resolution (+/- 0.1 omega cm2) over the conventional method. Conventional feedback of the membrane current signal to correct the Rs error signal leads to instability of the voltage clamp when approximately two-thirds of the error is corrected. We describe an active electronic bridge circuit that subtracts membrane capacitance from the total membrane current and allows full, yet stable, compensation for the voltage error due to ionic currents. Furthermore, this method provides not only fast and accurate control of the membrane potential in response to a command step, but also fast recovery following an abrupt change in the membrane conductance. Marked changes in the kinetics and amplitude of ionic currents resulting from full compensation for Rs are shown for several typical potential patterns.     

Interactions of voltage-sensing dyes with membranes. II. Spectrophotometric and electrical correlates of cyanine-dye adsorption to membranes.

The adsorption to bilayer membranes of the thiadicarbocyanine dyes, diSCn(5), has been studied as a function of the membrane's surface-charge density, the aqueous ionic strength, and the length (n) of the hydrocarbon side chain of the dye. "Probe" measurements in planar bilayers, microelectrophoresis of liposomes, and measurement of changes in dye absorbance and fluorescence in liposomes were used to study dye adsorption to membranes. These measurements indicated that the membrane:water partition coefficient for the dye monomer increases with the length of the hydrocarbon side chain. However, the formation of large aggregates in the aqueous phase also increases with increasing chain length and ionic strength so that the actual dye adsorbing to the membrane goes through a maximum at high but not at low ionic strengths. More dye adsorbs to negatively charged than neutral membranes. Membrane-bound dye spectra were easily resolved in negatively charged liposomes where it was observed that these dyes could exist as monomers, dimers, and large aggregates. For diSC1(5) a spectral peak was observed at low but not high ionic strengths (i.e. the conditions in which this dye appears to form voltage-gated channels) corresponding to small aggregates which appeared to adsorb to the membrane. Finally, the adsorption of these dyes to membranes results in more positive electrostatic potentials composed primarily of dye-induced "boundary" potentials and somewhat less of "double-layer" potentials.     

Dichroic behavior of the absorbance signals from dyes NK2367 and WW375 in skeletal muscle fibers

Absorbance signals were recorded from voltage-clamped single muscle fibers stained with the nonpenetrating potentiometric dyes NK2367 and WW375 and illuminated with quasimonochromatic light from 560 to 800 nm, linearly polarized either parallel (0 degree) or perpendicular (90 degrees) to the fiber long axis. The signals from both dyes depend strongly on the incident polarization. At any wavelength and/or polarization condition, the total absorbance signal is a superposition of the same two signal components previously identified with unpolarized light (Heiny, J. A., and J. Vergara, 1982, J. Gen. Physiol., 80:203)--namely, a fast step signal from the voltage-clamped surface membrane and a signal reflecting the slower T-system potential changes. The 0 degree and 90 degrees spectra of both membranes have similar positive and negative absorbance peaks (720 and 670 nm, respectively, for dye NK2367; 740 and 700 nm for dye WW375); in addition, they have the same dichroic maxima (670 for NK2367; 700 for WW375). However, for the surface membrane, the 0 degrees spectra are everywhere more positive than the 90 degrees spectra, whereas the reverse is true for the T-system, which results in a dichroism of opposite sign for the two membranes. These spectral characteristics were analyzed using a general model for the potential-dependent response of an absorbing dye (Tasaki, I., and A. Warashina, 1976, Photochem. Photobiol., 24:191), which takes into account both the dye response and the membrane geometries. They are consistent with the proposal that the dye responds via a common mechanism in both membranes that consists of a dye reorientation and a change in the absorption maxima.     

Investigations of the ionic mechanisms of bursting activity in Helix pomatia neurons

Steady-state current-voltage characteristics of the membrane and ionic currents arising during changes in membrane potential in bursting neurons ofHelix pomatia were studied by the voltage clamp method. The steady-state current-voltage characteristics of the membrane were shown to have a nonlinear region. Replacement of sodium ions by Tris-HC1 ions in the external solution completely abolishes this nonlinearity. Hyperpolarization of the membrane under voltage clamp conditions leads to the development of an outward current which reaches a maximum and then is inactivated. This current has a reversal potential in the region of the potassium equilibrium potential. Depolarization of the membrane to the threshold value for excitation of uncontrollable regions of the axon hillock causes the appearance of a slow inward current. After reaching a maximum, the inward current falls to zero. A model of generation of waves in a bursting neuron is suggested.A. A. Bogomolets Institute of Physiology, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Neirofiziologiya, Vol. 10, No. 2, pp. 193–202, March–April, 1978.     

Optical signals from surface and T system membranes in skeletal muscle fibers. Experiments with the potentiometric dye NK2367

Absorbance signals were recorded from cut single skeletal muscle fibers stained with the nonpenetrating potentiometric dye NK2367 and mounted in a three-vaseline-gap voltage clamp. The characteristics of the optical signals recorded under current and voltage-clamp conditions were studied at various wavelengths between 500 and 800 nm using unpolarized light. Our results indicate that the absorbance signals recorded with this dye reflect potential changes across both the surface and T system membranes and that the relative contribution of each of these membrane compartments to the total optical change is strongly wavelength dependent. A peak intensity change was detected at 720 nm for the surface membrane signal and at 670 nm for the T system. Evidence for this wavelength-dependent separation derives from an analysis of the kinetics and voltage dependence of the optical signals at different wavelengths, and results obtained in detubulated fibers. The 670-nm optical signal was used to demonstrate the lack of potential control in the T system by the voltage clamp and the effect of a tetrodotoxin (TTX)-sensitive sodium conductance on tubular depolarization.     

Ionic currents in cardiac muscle: a framework for glycoside action.

This paper briefly reviews the current state of understanding of cardiac excitation--contraction coupling and its relation to glycoside action. Evidence that inotropic action of glycosides might result from increased influx of Ca2+ during action potential is reviewed. Recent voltage clamp studies that show little if any direct effect on Ca2+ influx during the action potential are cited. It is suggested that the primary inotropic effects derive from altered ionic exchange mechanisms secondary to inhibition of Na+,K+-ATPase. The role of ionic currents in glycoside toxicity is considered, with discussion of a dynamic, depolarizing current that appears shortly after action potential. This current is apparently an inward movement of positive ions that is strongly mediated by extracellular Ca2+ levels. It is noted that such spontaneous depolarizations of the membrane have been observed in several other circumstances where strong positive inotropism has been induced. The conclusion is reached that membrane ionic currents probably play only a secondary role in glycoside inotropism and in many of the toxic effects.     

Gating of Shaker K+ channels: I. Ionic and gating currents.

Ionic and gating currents from noninactivating Shaker B K+ channels were studied with the cut-open oocyte voltage clamp technique and compared with the macropatch clamp technique. The performance of the cut-open oocyte voltage clamp technique was evaluated from the electrical properties of the clamped upper domus membrane, K+ tail current measurements, and the time course of K+ currents after partial blockade. It was concluded that membrane currents less than 20 microA were spatially clamped with a time resolution of at least 50 microseconds. Subtracted, unsubtracted gating currents with the cut-open oocyte voltage clamp technique and gating currents recorded in cell attached macropatches had similar properties and time course, and the charge movement properties directly obtained from capacity measurements agreed with measurements of charge movement from subtracted records. An accurate estimate of the normalized open probability Po(V) was obtained from tail current measurements as a function of the prepulse V in high external K+. The Po(V) was zero at potentials more negative than -40 mV and increased sharply at this potential, then increased continuously until -20 mV, and finally slowly increased with voltages more positive than 0 mV. Deactivation tail currents decayed with two time constants and external potassium slowed down the faster component without affecting the slower component that is probably associated with the return between two of the closed states near the open state. In correlating gating currents and channel opening, Cole-Moore type experiments showed that charge moving in the negative region of voltage (-100 to -40 mV) is involved in the delay of the conductance activation but not in channel opening. The charge moving in the more positive voltage range (-40 to -10 mV) has a similar voltage dependence to the open probability of the channel, but it does not show the gradual increase with voltage seen in the Po(V).     

Potential-dependent changes in ionic selectivity of batrachotoxin-modified sodium channels of frog nerve fiber

Ionic currents through sodium channels modified by batrachotoxin were measured by the voltage clamp method on a myelinated frog nerve fiber membrane. The reversal potential (E_rev) of steady-state currents was shown to be on the average 5 mV less positive than E_rev corresponding to the initial (peak) values of the currents. The results of control experiments using procaine and tetrodotoxin showed that the change in E_rev observed during a depolarizing pulse is not connected with the presence of unmodified sodium channels or unblocked potassium channels, with nonlinearity of leakage, or with a change in transmembrane gradients of current-carrving cations. In experiments with measurement of "instant" currents it was shown that E_rev becomes less positive as the amplitude and duration of preliminary depolarization increase. The results support the view that sodium-potassium selectivity of batrachotoxin-modified sodium channels depends on potential.     

Non-uniform Distribution of Outer Hair Cell Transmembrane Potential Induced by Extracellular Electric Field

Intracochlear electric fields arising out of sound-induced receptor currents, silent currents, or electrical current injected into the cochlea induce transmembrane potential along the outer hair cell (OHC) but its distribution along the cells is unknown. In this study, we investigated the distribution of OHC transmembrane potential induced along the cell perimeter and its sensitivity to the direction of the extracellular electric field (EEF) on isolated OHCs at a low frequency using the fast voltage-sensitive dye ANNINE-6plus. We calibrated the potentiometric sensitivity of the dye by applying known voltage steps to cells by simultaneous whole-cell voltage clamp. The OHC transmembrane potential induced by the EEF is shown to be highly nonuniform along the cell perimeter and strongly dependent on the direction of the electrical field. Unlike in many other cells, the EEF induces a field-direction-dependent intracellular potential in the cylindrical OHC. We predict that without this induced intracellular potential, EEF would not generate somatic electromotility in OHCs. In conjunction with the known heterogeneity of OHC membrane microdomains, voltage-gated ion channels, charge, and capacitance, the EEF-induced nonuniform transmembrane potential measured in this study suggests that the EEF would impact the cochlear amplification and electropermeability of molecules across the cell.     

Non-uniform Distribution of Outer Hair Cell Transmembrane Potential Induced by Extracellular Electric Field

Intracochlear electric fields arising out of sound-induced receptor currents, silent currents, or electrical current injected into the cochlea induce transmembrane potential along the outer hair cell (OHC) but its distribution along the cells is unknown. In this study, we investigated the distribution of OHC transmembrane potential induced along the cell perimeter and its sensitivity to the direction of the extracellular electric field (EEF) on isolated OHCs at a low frequency using the fast voltage-sensitive dye ANNINE-6plus. We calibrated the potentiometric sensitivity of the dye by applying known voltage steps to cells by simultaneous whole-cell voltage clamp. The OHC transmembrane potential induced by the EEF is shown to be highly nonuniform along the cell perimeter and strongly dependent on the direction of the electrical field. Unlike in many other cells, the EEF induces a field-direction-dependent intracellular potential in the cylindrical OHC. We predict that without this induced intracellular potential, EEF would not generate somatic electromotility in OHCs. In conjunction with the known heterogeneity of OHC membrane microdomains, voltage-gated ion channels, charge, and capacitance, the EEF-induced nonuniform transmembrane potential measured in this study suggests that the EEF would impact the cochlear amplification and electropermeability of molecules across the cell.     

Mechanism of potential-dependent light absorption changes of lipid bilayer membranes in the presence of cyanine and oxonol dyes

Summary The mechanism by which the light absorption of cyanine and oxonol dyes changes in response to changes in transmembrane electrical potential has been studied. Trains of membrane potential steps produce changes in the intensity of light passing through glycerylmonooleate (GMO) bilayer lipid membranes (BLM) in the presence of these dyes. The size of the signal-averaged absorbance change for one of the cyanine dyes diS-C₂-(5) is 10^–5. The response time for the absorbance change of all of the dyes was 10 sec. In order for an absorption signal to be observed, the concentration of dye on both sides of the membrane must be different. Since GMO bilayer membranes are permeable to the charged dyes that were studied, the dye concentration asymmetry necessary for the optical signal had to be maintained with a constant dc membrane potential, onto which the trains of potential steps were superimposed. The more hydrophobic dyes were the most permeant. Inclusion of cholesterol in the GMO bilayers decreased the permeance of the positively charged cyanine dyes, but increased the permeance of the negatively charged oxonol dyes. The magnitude and the size of the BLM absorbance change depended on the wavelength of illumination. Comparisons of the wavelength dependence of the BLM spectra with absorption difference spectra obtained with model membrane systems allow us to postulate a mechanism for a BLM absorbance change. For the cyanine and oxonol dyes, the data are consistent with an ON-OFF mechanism where a quantity of dye undergoes a rapid potential-dependent movement between a hydrocarbon-like binding site on the membrane and the aqueous salt solution near the membrane. For some dyes, which readily aggregate on the membrane, part of the absorbance change may possibly be explained by a potential dependent change in the state of aggregation of dye molecules localized on the membrane. Mechanisms involving a potential dependent change in the polarizability of the environment of membrane-localized dye molecules cannot be excluded, but seem unlikely.     

Transmembrane ion currents in pulmonary artery smooth muscle

Transmembrane ionic currents were investigated in the rabbit pulmonary artery smooth muscle under voltage clamp conditions with the use of the double sucrose gap method. With depolarizing pulses, there developed a fast inactivated outward current that was followed by a steady-state outward current. Tetraethylammonium (TEA) partly suppressed the outward current, and the fast inward current that preceded the fast outward one could be seen in these conditions. Appearance of the fast inward current in TEA-containing solution suggests the overlapping of the fast inward and outward currents. It appears that the resultant transmembrane current has an outward direction since in normal conditions the permeability of the fast potassium channels exceeds that of calcium channels. Conditioning hyperpolarization increased and depolarization decreased the fast outward current indicating that at the resting membrane potential a part of the potassium channels is inactivated and this inactivation is removed by hyperpolarization.     

Changes in absorption,fluorescence, dichroism,and birefringence in stained giant axons: Optical measurement of membrane potential

Summary The absorption, fluorescence, dichroism, and birefringence of stained squid axons were measured during action potentials and voltage clamp steps in an effort to find large optical signals that could be used to monitor membrane potential. Changes in all four optical properties were found that were linearly related to membrane potential and, with several new dyes, the signal-to-noise ratios were larger than any obtained previously. The problem of photodynamic damage was greatly diminished; with a merocyaninerhodanine dye, the photodynamic damage associated with intense light and the presence of oxygen was negligible. The absorption change obtained with this dye was relatively large; it could be measured with a signal-to-noise ratio of 1001 during a single action potential.     

Ionic currents during the action potential in the molluscan neurone with the self-clamp technique

The ionic currents during the action potential in the F1 neurone of Helix aspersa were investigated, using the Self-Clamp Technique. A spontaneous action potential was recorded and then replayed, both in its direct and in its inverted form, to the same cell in voltage clamp and in control conditions. Under various experimental conditions such as treatment with the specific ionic channels blockers tetrodotoxin, lanthanum, 4-aminopyridine or tetraethylammonium, as well as low sodium and low calcium external media, the single ionic currents were detected by stimulating the membrane with the direct pulse only. The Self-Clamp Technique allowed the measuring of the following parameters, in their real time course during the action potential: a) the total action currents; b) the pharmacologically blocked ionic components; c) the ionic components which remained insensitive to the agents used (residual currents). These data were compared with those obtained by applying conventional rectangular pulses in voltage clamp. The membrane capacity was measured with the Self-Clamp Technique and the recorded currents were normalized assuming a specific capacity of 4 μF/cm². The isolated ionic components were directly compared with the total action currents to evaluate the degree to which blockage was complete. The electric charge transported by each ionic specimen was evaluated as well as the individual ionic amounts. The sodium influx was 3.18 ± 0.55 pM/cm² per impulse (9 cells), calcium influx 1.03 ± 0.37 pM/cm² per impulse (10 cells). A value of 6.37 ± 1.03 pM/cm² per impulse was found for the potassium outflux, with a probable overestimation of about 1 pM/cm² per impulse (9 cells).     

Ionic processes in excitable membranes

The dynamical theory of ionized media is applied to the semi-electrolyte component of an excitable cell membrane, and the adjacent electrolytes. The equations of conservation of charge and momentum for the ions, and Poisson's equation for the electrostatic potential, are applied first to investigate the steady states of the membrane, and then transient effects in the membrane. A dispersion equation is derived, and the characteristic modes of relaxation within the membrane are determined. Among these are oscillating modes whose frequencies and amplitudes are of the correct order of magnitude to explain the observed excitation phenomena.A pair of coupled non-linear equations in the ionic potentials, with action potential solutions, is derived from the time-dependent electrodiffusion equations, and calculations are presented which model the behaviour of the excitable membrane during the voltage clamp. It is not necessary to postulate large changes in the ionic permeabilities in the course of the action potential and the voltage clamp to account for the large transient membrane conductances. It is suggested that the sodium hypothesis be replaced by one which attributes the action potential to non-linear plasma oscillations.     

Depletion and accumulation of potassium in the extracellular clefts of cardiac Purkinje fibers during voltage clamp hyperpolarization and depolarization: experiments in sodium-free bathing media

Voltage clamp hyperpolarization and depolarization result in currents consistent with depletion and accumulation of potassium in the extracellular clefts o cardiac Purkinje fibers exposed to sodium-free solutions. Upon hyperpolarization, an inward current that decreased with time (id) was observed. The time course of tail currents could not be explained by a conductance exhibiting voltage-dependent kinetics. The effect of exposure to cesium, changes in bathing media potassium concentration and osmolarity, and the behavior of membrane potential after hyperpolarizing pulses are all consistent with depletion of potassium upon hyperpolarization. A declining outward current was observed upon depolarization. Increasing the bathing media potassium concentration reduced the magnitude of this current. After voltage clamp depolarizations, membrane potential transiently became more positive. These findings suggest that accumulation of potassium occurs upon depolarization. The results indicate that changes in ionic driving force may be easily and rapidly induced. Consequently, conclusions based on the assumption that driving force remains constant during the course of a voltage step may be in error.     

Gating currents in the node of Ranvier: voltage and time dependence.

Like the axolemma of the giant nerve fibre of the squid, the nodal membrane of frog myelinated nerve fibres after blocking transmembrane ionic currents exhibits asymmetrical displacement currents during and after hyperpolarizing and depolarizing voltage clamp pulses of equal size. The steady-state distribution of charges as a function of membrane potential is consistent with Boltzmanns law (midpoint potential minus 33.7 mV; saturation value 17200 charges/mum-2). The time course of the asymmetry current and the voltage dependence of its time constant are consistent with the notion that due to a sudden change in membrane potential the charges undergo a first order transition between two configurations. Size and voltage dependence of the time constant are similar to those of the activation of the sodium conductance assuming m-2h kinetics. The results suggest that the presence of ten times more sodium channels (5000/mum-2) in the node of Ranvier than in the squid giant axon with similar sodium conductance per channel (2-3 pS).     

Computed Membrane Currents in Cardiac Purkinje Fibers during Voltage Clamps

Recent measurements have indicated that some of the cardiac cell electrical capacitance is in series with a resistance. The computations of currents in a voltage clamp presented below show that, in this case, there is a danger that capacitive transient currents recorded during voltage clamp experiments may be confused with currents arising through rapid active membrane conductance changes. Secondly, a voltage clamp technique aimed at avoiding capacitive transients, namely the linear or ramp clamp, has recently been introduced. An attempt has been made here to evaluate the usefulness of ramp clamps in studying membrane electrical properties, by computing ramp clamp results and considering the difficulties in reconstructing the original model from these results. It is concluded that such a reconstruction is not feasible.