Potential-dependent conductances in lipid membranes containing alamethicin.

This article is concerned primarily with the mechanism of the potential-dependent conductance induced in artificial lipid membranes by the cyclic polypeptide andibiotic alamethicin. It has already been shown from studies of the fluctuations that can be detected in very small membrane currents that alamethicin forms transient pores of some 0.6 nm in diameter and that, for small inorganic ions, these are poorly selective. The origin of these pores, their spatial distribution and interaction are discussed. It is demonstrated that the sensitivity of the membrane conductance to the applied potential arises only to a slight extent from the current-voltage relations for the individual pores, and that the main effect stems from the influence of the potential on the frequency of opening of the pores. From the properties of lipid membranes containing alamethicin in a wide variety of electrolytes, and from other evidence, it is concluded that the polypeptide reacts to the electric field more probably because it has dipole moment than because it binds ions. It is proposed that the conducting complex is capable of functioning in either of two orientations, and that it is these two possibilities that give rise to certain differences in the single channel characteristics for the two directions of the field.     

Calcium-activated and voltage-dependent potassium conductances in clonal pituitary cells

Voltage clamp recordings of GH3/B6 pituitary cells reveal the presence of non linear steady state membrane properties at the level of the resting potential (about ?41 mV). Clamping the cells to potentials more depolarized than ?60 mV is associated with a potential dependent increase in membrane conductance and membrane current variance. Tetra-ethylammonium (TEA), Cobalt (Co²⁺) and methoxy-verapamil (D-600) each attenuate these potential-dependent changes. Spectral analysis of membrane current fluctuations shows that power spectral densities calculated for fluctuations occuring over the ? 70 to ? 40 mV range declin? monotonically as a function of frequency, while spectra derived from fluctuations obtained over the ? 20 mV to 0 mV range decline as the square of frequency and are usually well fitted by a single Lorentzian equation. The half-power frequency of these spectra varies from 45 to 65 Hz. If we assume that the activities of two-state (open-closed) ion channels underlie the electrical behaviour of the membrane at the resting potential and at more depolarized levels, then the results suggests the presence of K⁺ ion channels whose activation depends both on potential and Ca²⁺ ions. These K⁺ ion channels have estimated electrical properties (conductance : 15 ps ; duration : 3 msec) similar to those present in other excitable membranes.     

Functional implications of dendritic voltage-dependent conductances.

Layer five pyramidal neurons of rat and cat neocortex have numerous ionic conductance mechanisms. The presence of these voltage-dependent conductances in the dendrites has a significant effect on the transmission of current from synaptic sites to the spike generating region in the proximal axon. Here we show such threshold activation of persistent sodium channels markedly amplifies current flowing through glutamate activated dendritic channels.     

Functional significance of voltage-dependent conductances in Limulus ventral photoreceptors

The influence of voltage-dependent conductances on the receptor potential of Limulus ventral photoreceptors was investigated. During prolonged, bright illumination, the receptor potential consists of an initial transient phase followed by a smaller plateau phase. Generally, a spike appears on the rising edge of the transient phase, and often a dip occurs between the transient and plateau. Block of the rapidly inactivating outward current, iA, by 4-aminopyridine eliminates the dip under some conditions. Block of maintained outward current by internal tetraethylammonium increases the height of the plateau phase, but does not eliminate the dip. Block of the voltage-dependent Na+ and Ca2+ current by external Ni2+ eliminates the spike. The voltage-dependent Ca2+ conductance also influences the sensitivity of the photoreceptor to light as indicated by the following evidence: depolarizing voltage- clamp pulses reduce sensitivity to light. This reduction is blocked by removal of external Ca2+ or by block of inward Ca2+ current with Ni2+. The reduction of sensitivity depends on the amplitude of the pulse, reaching a maximum at or approximately +15 mV. The voltage dependence is consistent with the hypothesis that the desensitization results from passive Ca2+ entry through a voltage-dependent conductance.     

The development of voltage-dependent ionic conductances in murine spinal cord neurones in culture

The development of voltage-dependent ionic conductances of foetal mouse spinal cord neurones was examined using the whole-cell patch-clamp technique on neurones cultured from embryos aged 10-12 days (E10-E12) which were studied between the first day in vitro (V1) to V10. A delayed rectifier potassium conductance (Ik) and a leak conductance were observed in neurones of E10, V1, E11, V1, and E12, V1 as well as in neurones cultured for longer periods. A rapidly activating and inactivating potassium conductance (IA) was seen in neurones from E11. V2 and E12, V1 and at longer times in vitro. A tetrodotoxin (TTX) sensitive sodium-dependent inward current was observed in neurones of E11 and E12 from V1 onwards. Calcium-dependent conductances were not detectable in these neurones unless the external calcium concentration was raised 10-to 20-fold and potassium conductances were blocked. Under these conditions calcium currents could be observed as early as E11. V3 and E12, V2 and at subsequent times in vitro. The pattern of development of voltage-dependent ionic conductances in murine spinal neurones is such that initially leak and potassium currents are present followed by sodium current and subsequently calcium current.     

Photoinitiated ion movements in bilayer membranes containing magnesium octaethylporphyrin.

A photocurrent produced by planar lipid bilayers containing Mg-octaethylporphyrin in the presence of oxygen has been investigated to determine if the current is due to movement of the MgOEP+ ion in the bilayer. Photoexcitation of the MgOEP is known to produce MgOEP+ in the bilayer when an electron acceptor is present. However, the aqueous electron acceptors ferricyanide and methyl viologen (MV+2) have opposite effects on the photocurrent. Ferricyanide decreases the photo current, even in the presence of oxygen, whereas methyl viologen increases the photocurrent, but only when oxygen is present. We attribute most of the photocurrent to the movement of superoxide anion. The difference in effect between ferricyanide and methyl viologen is attributed to the different rates of reduction of O2 by reduced MV+ (fast) vs. ferrocyanide (slow) and the known competition between ferricyanide and oxygen as the acceptor for the photoexcited porphyrin. It is inferred that most of the MgOEP is localized in the polar region of the lipid bilayer. Addition of ferrocyanide to the aqueous phase on one side of the bilayer, to trap MgOEP+ produced on the other side by MV+2, fails to increase the lifetime of the photovoltage. With a pH gradient across the bilayer, we observed only 5% of the photovoltage expected for the selective transport of H+ or OH- by MgOEP+. Thus, these measurements set the lower limit for the cross bilayer transit time of MgOEP+ or its charge in the range of 0.1-0.5 s.     

Simulations of voltage clamping poorly space-clamped voltage-dependent conductances in a uniform cylindrical neurite

Significant error is made by using a point voltage clamp to measure active ionic current properties in poorly space-clamped cells. This can even occur when there are no obvious signs of poor spatial control. We evaluated this error for experiments that employ an isochronal I(V) approach to analyzing clamp currents. Simulated voltage clamp experiments were run on a model neuron having a uniform distribution of a single voltage-gated inactivating ionic current channel along an elongate, but electrotonically compact, process. Isochronal Boltzmann I(V) and kinetic parameter values obtained by fitting the Hodgkin-Huxley equations to the clamp currents were compared with the values originally set in the model. Good fits were obtained for both inward and outward currents for moderate channel densities. Most parameter errors increased with conductance density. The activation rate parameters were more sensitive to poor space clamp than the I(V) parameters. Large errors can occur despite normal-looking clamp curves.     

Linear impedance studies of voltage-dependent conductances in tissue cultured chick heart cells.

Plateau and pacemaker currents from tissue cultured clusters of embryonic chick heart cells were studied in the time domain, using voltage-clamp steps, and in the frequency domain, using a wide-band noise input superimposed on a steady holding voltage. In the presence of tetrodotoxin to block the sodium channel, a depolarizing voltage step into the plateau range elicited: (a) a rapid (approximately equal to 2 ms) activation of the slow inward current; (b) a subsequent slower (approximately equal to 25 ms) decline in the slow inward current; and (c) activation of a very slow (5 to 10 s) outward current. Impedance studies in this voltage range could clearly resolve two voltage-dependent processes, which appeared to correspond to points b and c above because of their voltage dependence, pharmacology, and time constants. A correlate of point a was also probably present but difficult to resolve owing to the fast time constant of activation for the slow inward channel. At voltages negative to -50 mV a new voltage-dependent process could be resolved, which, because of its voltage dependence and time constant, appeared to represent the pacemaker channel (also termed If or IK2). In the Appendix, linear models of voltage-dependent channels and ion accumulation/depletion are derived and these are compared with our data. Most of the above-mentioned processes could be attributed to voltage-dependent channels with kinetics similar to those observed in time domain, voltage-clamp studies. However, the frequency domain correlate of the decline of the slow inward current was incompatible with channel gating, rather, it appears accumulation/depletion of calcium may dominate the decline in this preparation.     

Corrections for space-clamp errors in measured parameters of voltage-dependent conductances in a cylindrical neurite

The ability to correct parameters of voltage-gated conductances measured under poor spatial control by point voltage clamp could rescue much flawed experimental data. We explore a strategy for correcting errors in experiments that employs a full-trace approach to parameter determination. Simulated soma voltage-clamp runs are made on a model neuron with a single voltage-gated, Hodgkin-Huxley channel type distributed uniformly along an elongate process. Estimates for both kinetic and I(V) parameters are obtained by fitting a form of the Hodgkin-Huxley equations to the complete time course of leak-subtracted current curves. The fitted parameters are used to determine how much correction in each parameter is needed to regenerate the set actually belonging to the channel. Corrections are generated for a range of neurite lengths, conductance densities, and channel characteristics.     

Mapping the distribution of outer hair cell voltage-dependent conductances by electrical amputation.

The mammalian outer hair cell (OHC) functions not only as sensory receptor, but also as mechanical effector; this unique union is believed to enhance our ability to discriminate among acoustic frequencies, especially in the kilohertz range. An electrical technique designed to isolate restricted portions of the plasma membrane was used to map the distribution of voltage-dependent conductances along the cylindrical extent of the cell. We show that three voltage-dependent currents, outward K, I(K,n), and I(Ca) are localized to the basal, synaptic pole of the OHC. Previously we showed that the lateral membrane of the OHC harbors a dense population of voltage sensor-motor elements responsible for OHC motility. This segregation of membrane molecules may have important implications for auditory function. The distribution of OHC conductances will influence the cable properties of the cell, thereby potentially controlling the voltage magnitudes experienced by the motility voltage sensors in the lateral membrane, and thus the output of the "cochlear amplifier."     

Appearance and maturation of voltage-dependent conductances in solitary spiking cells during retinal regeneration in the adult newt

Summary Electrical membrane properties of solitary spiking cells during newt (Cynops pyrrhogaster) retinal regeneration were studied with whole-cell patch-clamp methods in comparison with those in the normal retina.The membrane currents of normal spiking cells consisted of 5 components: inward Na⁺ and Ca⁺⁺ currents and 3 outward K⁺ currents of tetraethylammonium (TEA)-sensitive, 4-aminopyridine (4-AP)-sensitive, and Ca⁺⁺-activated varieties. The resting potential was about -40mV. The activation voltage for Na⁺ and Ca⁺⁺ currents was about -30 and -17 mV, respectively. The maximum Na⁺ and Ca⁺⁺ currents were about 1057 and 179 pA, respectively.In regenerating retinae after 19–20 days of surgery, solitary cells with depigmented cytoplasm showed slowrising action potentials of long duration. The ionic dependence of this activity displayed two voltage-dependent components: slow inward Na⁺ and TEA-sensitive outward K⁺ currents. The maximum inward current (about 156 pA) was much smaller than that of the control. There was no indication of an inward Ca⁺⁺ current.During subsequent regeneration, the inward Ca⁺⁺ current appeared in most spiking cells, and the magnitude of the inward Na⁺, Ca⁺⁺, and outward K⁺ currents all increased. By 30 days of regeneration, the electrical activities of spiking cells became identical to those in the normal retina. No significant difference in the resting potential and the activation voltage for Na⁺ and Ca⁺⁺ currents was found during the regenerating period examined.     

Ethanol effects on voltage-dependent membrane conductances: comparative sensitivity of channel populations inAplysia neurons

The study of ethanol (EtOH) action is interesting because of its clinical relevance and for the insights it provides into structure-function relationships of excitable membranes. This paper describes the concentration dependencies of various parameters of four currents in Aplysia cells. ICa is the most sensitive of the currents studied. There was a significant reduction of ICa at concentrations of 50 mM EtOH. At low concentrations, the reduction of amplitude was the primary effect of ethanol, with the kinetics and voltage dependency of activation not affected. INa and IA were also affected, but at EtOH levels higher than those which altered ICa. The primary effect of EtOH on INa was a reduction in its amplitude, although the time to peak current flow was increased by EtOH. The effects of EtOH on IA were cell specific and, for the purposes of this paper, we examined the giant metacerebral cell (MCC). In MCC, the primary effect of EtOH on IA was an increase in the time course of inactivation. The time to peak IA was also increased by high concentrations of EtOH, but its amplitude was unaffected even at high concentrations. The delayed rectifier current, IK, was the most EtOH resistant of the currents examined. High EtOH concentrations augmented the amplitude of IK, although even at 600 mM concentrations, the percentage change was only 30%. Our results indicate that the calcium channel is very susceptible to the influence of ethanol and is a serious candidate to be the primary target of EtOH action in the nervous system. The differential sensitivity of voltage-dependent currents and individual components of a given current suggests further experiments to probe the relationship between membrane structure and channel function in excitable membranes.     

The kinetics of phase separation in asymmetric membranes

Phase separation in a model asymmetric membrane is studied using Monte Carlo techniques. The membrane comprises two species of particles, which mimic different lipids in lipid bilayers and separately possess either zero or non-zero spontaneous curvatures. We study the influence of phase separation on membrane shape and the influence of the coupling of composition and height dynamics on phase separation and domain growth, via both the degree of shape asymmetry and relative kinetic coefficients for height relaxation.     

The nature of the voltage-dependent conductance induced by alamethicin in black lipid membranes

Summary Alamethicin induces a conductance in black lipid films which increases exponentially with voltage. At low conductance the increase occurs in discrete steps which form a pattern of five levels, the second and third being most likely. The conductance of each level is directly proportional to salt concentration, inversely proportional to solution viscosity, and nearly independent of voltage.The probability distribution of the five steps is not a function of voltage, but as the voltage is increased, more levels begin to appear. These can be explained as super-positions of the original five, both in position and relative probability.This suggests that the five levels are associated with a physical entity which we call a pore. This point of view is confirmed by the following measurements. The kinetic response of the current to a voltage step is first order, and shows an exponential increase in rate of pore formation and an exponential decrease in rate of pore disappearance with voltage. If these rates are statistical, the number of pores should fluctuate about a voltage-dependent mean. High conductance current fluctuations are too large to be explained by fluctuation in the number of pores alone. But if fluctuations among the five levels are included, the magnitude of the fluctuations at high conductance is accurately predicted.Alamethicin adsorbs reversibly to the membrane surface, and the conductance at a fixed voltage depends on the ninth power of alamethicin concentration and on the fourth power of salt concentration, in the aqueous phase. In our bacterial phosphatidyl ethanolamine membranes, alamethicin added to one side of the membrane produces elevated conductance only when the voltage on that side is increased.On leave of absence from the Facultad de Ciencias, Universidad de Chile, Santiago de Chile.