Equilibrium properties of a voltage-dependent junctional conductance

The conductance of junctions between amphibian blastomeres is strongly voltage dependent. Isolated pairs of blastomeres from embryos of Ambystoma mexicanum, Xenopus laevis, and Rana pipiens were voltage clamped, and junctional current was measured during transjunctional voltage steps. The steady-state junctional conductance decreases as a steep function of transjunctional voltage of either polarity. A voltage-insensitive conductance less than 5% of the maximum remains at large transjunctional voltages. Equal transjunctional voltages of opposite polarities produce equal conductance changes. The conductance is half maximal at a transjunctional voltage of approximately 15 mV. The junctional conductance is insensitive to the potential between the inside and outside of the cells. The changes in steady-state junctional conductance may be accurately modeled for voltages of each polarity as arising from a reversible two-state system in which voltage linearly affects the energy difference between states. The voltage sensitivity can be accounted for by the movement of about six electron charges through the transjunctional voltage. The changes in junctional conductance are not consistent with a current-controlled or ionic accumulation mechanism. We propose that the intramembrane particles that comprise gap junctions in early amphibian embryos are voltage-sensitive channels.     

Characterization of the voltage-dependent properties of a volume- sensitive anion conductance

Outwardly rectified, swelling-activated anion conductances have been described in numerous cell types. The major functional variable observed amongst these conductances is the extent and rate of depolarization-induced inactivation. In general, the conductances can be divided into two broad classes, those that show rapid inactivation in response to strong depolarization and those that show little or no voltage dependence. The swelling-activated anion conductance in rat C6 glioma cells is inactivated nearly completely by membrane depolarization above +90 mV and reactivated by membrane hyperpolarization. The kinetics of inactivation and reactivation are fit by single and double exponentials, respectively. Voltage-dependent behavior is well described by a simple linear kinetic model in which the channel exists in an open or one of three inactivated states. pH- induced changes in voltage-dependent gating suggest that the voltage sensor contains critical basic amino acid residues. Extracellular ATP blocks the channel in a voltage-dependent manner. The block is sensitive to the direction of net Cl- movement and increases open channel noise indicating that ATP interacts with the channel pore. Blockage of the channel with ATP dramatically slows depolarization- induced inactivation.     

Melittin induced voltage-dependent conductance in DOPC lipid bilayers

Melittin-induced conductance was measured on planar bilayers made from dioleoylphosphatidylcholine. Upon application of a fixed voltage, the current response was monophasic and remained so even after prolonged observation times. The conductance of melittin-doped bilayers increased exponentially with voltage. In addition, an ohmic contribution appeared after some current had passed. The voltage-dependent conductance increased e-fold every 22 mV and was proportional to the fourth power of the aqueous monomeric peptide concentration, for all salt concentrations investigated (0.4-1.8 M NaCl). Discrete conductance steps could be resolved at all these salt concentrations. The amplitudes of these steps were highly variable. In each experiment, conductance was initially only observed for potentials which were positive on the side of peptide addition. As more and more current passed across the bilayer, the current-voltage curves became symmetric. The system needed some time to reach stationary current-voltage characteristics: about 50 min at pH 7 but only about 15 min at pH 8, suggesting involvement of the N-terminus (pK around 7.5) of melittin in the slow formation of a 'prepore'.     

Characterization of a voltage-dependent conductance in the basolateral membrane of leech skin epithelium

Voltage clamp studies were performed on the dorsal integument of Hirudo medicinalis. Under apical calcium-free conditions an inward-directed component of transepithelial current was activated by changes of transepithelial voltage. Depolarization caused up to 50% increase of the transepithelial sodium current. Hyperpolarization had no comparable effects. With calcium (1.8 mM) or amiloride (100 μM) in the apical solution and in sodium-free solutions the inward-directed current failed to increase after depolarization. Activation also occurred under chloride-free conditions. Permeabilization of the apical membrane by nystatin (5 μM) increased the current activation significantly. After nystatin, calcium as well as amiloride lost their inhibitory effects. This indicates a basolateral localization of the voltage-dependent conductance. Vesicle insertion or cytoskeletal structures are probably not involved in regulation, as seen by the lack of effects of brefeldin A and the cytochalasins B and D. However, serosal hyposmolar solutions (170 mosmol · l⁻¹) caused a reinforced activation of the current. Our results indicate a voltage-dependent conductance in a tight sodium-absorbing epithelium. Accepted: 22 January 1998     

The coupling coefficient as an index of junctional conductance

Summary Toad bladder epithelial cells were isolated under mild conditions in a calcium-free medium; they were found to exclude trypan blue, to consume oxygen, and to respond to vasopressin with an increased rate of oxygen consumption. Since isolated toad bladder epithelial cells are mostly spherical in shape, the cell diameter can be accurately measured with an ocular micrometer of an inverted microscope. Epithelial cells swelled by 29±3% in the presence of KCN. This cyanide-induced swelling of cells was prevented by amiloride or, alternatively, by replacing NaCl by equiosmotic amounts of mannitol in the Ringer's fluid. Cells incubated in the presence of vasopressin swelled by 10±2%. Vasopressin and KCN acted synergistically in enhancing cell volume. Ouabain caused cells to swell by 9±2%, and this effect was not additive to the swelling seen with vasopressin. These observations are in accord with the theory of Leaf and his associates, that the predominant effect of vasopressin is to enhance sodium entry into the transporting epithelial cells of the toad urinary bladder.     

Gap junction structures after experimental alteration of junctional channel conductance

Gap junctions are known to present a variety of different morphologies in electron micrographs and x-ray diffraction patterns. This variation in structure is not only seen between gap junctions in different tissues and organisms, but also within a given tissue. In an attempt to understand the physiological meaning of some aspects of this variability, gap junction structure was studied following experimental manipulation of junctional channel conductance. Both physiological and morphological experiments were performed on gap junctions joining stage 20-23 chick embryo lens epithelial cells. Channel conductance was experimentally altered by using five different experimental manipulations, and assayed for conductance changes by observing the intercellular diffusion of Lucifer Yellow CH. All structural measurements were made on electron micrographs of freeze-fracture replicas after quick-freezing of specimens from the living state; for comparison, aldehyde-fixed specimens were measured as well. Analysis of the data generated as a result of this study revealed no common statistically significant changes in the intrajunctional packing of connexons in the membrane plane as a result of experimental alteration of junctional channel conductance, although some of the experimental manipulations used to alter junctional conductance did produce significant structural changes. Aldehyde fixation caused a dramatic condensation of connexon packing, a result not observed with any of the five experimental uncoupling conditions over the 40-min time course of the experiments.     

The nature of the voltage-dependent conductance of the hemocyanin channel.

The electrical responses of individual hemocyanain channels in oxidized cholesterol membranes demonstrate that the voltage-dependent conductance of many-chanel membranes arises from two different mechanisms. These are the voltage-dependent redistribution of channels among several discrete single-channel conductance states themselves. The relaxation time for the discrete conductance changes is of the order of seconds nd the relaxation time of the continuous conductance changes is of the order 10(-4) seconds. As salt concentration in the bathing medium is increased, the single-channel conductance first increases lineary and then saturates. The characteristics of the saturation curves suggest that the continuous conductance changes occur at the edges of the channel and that the mean time an ion spends in the channel is 4 nanoseconds...     

Single voltage-dependent chloride-selective channels of large conductance in cultured rat muscle

Single-channel currents of an anion-selective channel in the plasma membrane of cultured rat muscle cells (myotubes) were recorded with the patch-clamp technique (Hamill, O.P., A. Marty, E. Neher, B. Sakmann, and F.J. Sigworth, 1981. Pfluegers Arch. Eur. J. Physiol., 391:85-100). The channel is selective for Cl- over cations, and has an unusually large single-channel conductance of approximately 430 pS in symmetrical 143 mM KCl. The channel is often active at 0 mV, opening and closing spontaneously. When active, steps from 0 mV to either negative or positive membrane potentials close the channel to an apparent inactivated state. The mean effective time that a channel is open before it inactivates is approximately 1.19 s for steps to -30 mV and 0.48 s for steps to +30 mV. Returning the membrane potential to 0 mV results in recovery from inactivation. Calcium ions are not required for channel activity.     

Regulation of a voltage-dependent,calcium-activated K conductance by cyclic GMP in dissociated flounder enterocytes

Enterocytes from the winter flounder (Pseudopleuronectes americanus) were isolated by collagenase digestion and maintained in flounder Ringer's solution. Whole cell currents were studied using the amphotericin-perforated whole-cell patch clamp technique. The mean resting membrane potential and capacitance values or dissociated cells were-45±7 mV and 5±0.4 pF, respectively. Enterocytes held at-20 mV and treated with 1 mol·l^-1 ionomycin exhibited outward currents when cells were stepped through a series of voltages from-60 to +110 mV. The reversal potential of this current in flounder Ringer's solution was-55 mV and the voltage at which half-maximal activation occurred was +20 mV. Voltage-dependent inhibition of outward current was observed at +60 mV and above. When cells were bathed in symmetric K Ringer's solution the reversal potential shifted to zero mV and no inhibition of current was observed at voltages between-60 and 140 mV. When the holding potential of the cell was changed from-20 to-80 mV and stepped from-60 to +110 mV, a second [previously characterized, O'Grady et al. (1991)] K current with delayed-rectifier properties was identified. This observation demonstrated that the delayed rectifier K channel and the Ca²⁺-activated K channel described in this study exist in the same cell. Extracellular addition of 2 mmol·l^-1 Ba²⁺ to cells bathed in symmetric K Ringer's solution resulted in nearly complete inhibition of outward current. Charybdotoxin produced only minor effects on this current. Addition of 8-Br cGMP to the bathing solution also inhibited outward current and this effect could be partially reversed following washout of 8-Br cGMP from the bathing solution. The results of this study indicated that a Ca²⁺-activated K conductance in winter flounder enterocytes is potentially inhibited by agents that increase intracellular cGMP. A similar effect of cGMP on a delayed rectifier K channel in flounder enterocytes was previously demonstrated.Abbreviations ANP atrial natriuretic peptide - CTX charybdotoxin - EPPS N-2-hydroxyethylpiperazine-N-3-propanesulfonic acid     

Collapse of conductance is prevented by a glutamate residue conserved in voltage-dependent K(+) channels

Voltage-dependent K(+) channel gating is influenced by the permeating ions. Extracellular K(+) determines the occupation of sites in the channels where the cation interferes with the motion of the gates. When external [K(+)] decreases, some K(+) channels open too briefly to allow the conduction of measurable current. Given that extracellular K(+) is normally low, we have studied if negatively charged amino acids in the extracellular loops of Shaker K(+) channels contribute to increase the local [K(+)]. Surprisingly, neutralization of the charge of most acidic residues has minor effects on gating. However, a glutamate residue (E418) located at the external end of the membrane spanning segment S5 is absolutely required for keeping channels active at the normal external [K(+)]. E418 is conserved in all families of voltage-dependent K(+) channels. Although the channel mutant E418Q has kinetic properties resembling those produced by removal of K(+) from the pore, it seems that E418 is not simply concentrating cations near the channel mouth, but has a direct and critical role in gating. Our data suggest that E418 contributes to stabilize the S4 voltage sensor in the depolarized position, thus permitting maintenance of the channel open conformation.     

Exploring voltage-dependent ion channels in silico by hysteretic conductance

Kinetic models of voltage-dependent ion channels are normally inferred from time records of macroscopic current relaxation or microscopic single channel data. A complementary explorative approach is outlined. Hysteretic conductance refers to conductance delays in response to voltage changes, delays at either macroscopic or microscopic levels of observation. It enables complementary assessments of model assumptions and gating schemes of voltage-dependent channels, e.g. independent versus cooperative gating, and multiple gating modes. Under the Hodgkin-Huxley condition of independent gating, and under ideal measurement conditions, hysteretic conductance makes it also possible to estimate voltage-dependent rate functions. The argument is mainly theoretical, based on experimental observations, and illustrated by simulations of Markov kinetic models.     

The kinetics of monazomycin-induced voltage-dependent conductance. II. Theory and a demonstration of a form of memory

The empirical differential equation that describes the kinetics of monazomycin-induced voltage-dependent conductance is derived using a standard chemical kinetic formulation and the assumption that monazomycin entry into and exit from the membrane is autocatalytic. The predicted form of gating currents is shown and numerical calculations for this process are made using a range of values for two unmeasured variables. A form of "memory" is then demonstrated, along with the ability of the theoretical equation to explain the nature of the memory.     

A pH-sensitive and voltage-dependent proton conductance in the plasma membrane of macrophages

Phagocytes generate large amounts of metabolic acid during activation. Therefore, the presence of a conductive pathway capable of H+ extrusion has been suggested (Henderson, L. M., J. B. Chappell, and O. T. G. Jones. 1987. Biochemical Journal. 246:325-329). In this report, electrophysiological and fluorimetric methods were used to probe the existence of a H+ conductance in murine peritoneal macrophages. In suspended cells, recovery of the cytosolic pH (pHi) from an acid-load in Na+ and HCO3(-)-free medium was detectable in depolarizing but not in hyperpolarizing media. The rate of alkalinization was potentiated by the rheogenic ionophore valinomycin. These findings are consistent with the existence of a conductive H+ (equivalent) pathway. This notion was confirmed by patch-clamping and fluorescence ratio measurements of single adherent cells. When voltage was clamped in the whole-cell configuration, depolarizing pulses induced a sizable outward current which was accompanied by cytosolic alkalinization. Several lines of evidence indicate that H+ (equivalents) carry this current: (a) the conductance was unaffected by substitution of the major ionic constituents of the intra-and/or extracellular media, (b) the reversal potential of the tail currents approached the H+ equilibrium potential; and (c) the voltage-induced currents and pHi changes were both Zn2+ sensitive and had similar time course and potential dependence. The peak whole-cell current displayed marked outward rectification and was exquisitely H+ selective. At constant voltage, the H+ permeability was increased by lowering pHi but was inhibited by extracellular acidification. Together with the voltage dependence of the conductance, these features ensure that H+ extrusion can occur during activation, while potentially deleterious acid uptake is precluded. The properties of the conductance appear ideally suited for pHi regulation during phagocyte activation, because these cells undergo a sustained depolarization and an incipient acidification when stimulated. Comparison of the magnitude of the current with the amount of metabolic acid generated during macrophage activation indicates that the conductance is sufficiently large to contribute to the H+ extrusion required for maintenance of pHi.     

Dipole moment of alamethicin as related to voltage-dependent conductance in lipid bilayers.

The dipole moment of alamethicin, which produces voltage-dependent conductance in lipid-bilayer membranes, was measured in mixed solvents of ethanol and dioxane. The value of the dipole moment was found to increase from 40 to 75 DU (Debye units), as the concentration of ethanol increased from 0 (pure dioxane) to 40%. The relaxation frequency of alamethicin also changes from 10 to 40 MHz, depending upon the concentration of ethanol in mixed solvents. The length of alamethicin was calculated by using the relaxation time and was found to range from approximately 40 to 20 A. The dipole moment was independently calculated from voltage-dependent conductance and compared with the measured value. The calculated value was found to be larger than the value of direct measurements, indicating that several alamethicin molecules are required to form a conducting pore and that their dipole moments are oriented parallel to each other.     

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.     

The voltage-dependent chloride current conductance of toad skin is localized to mitochondria-rich cells

The chloride current across the isolated epithelium from saline-acclimated Bufo viridis toads was studied using the extracellular vibrating probe technique. Local peak current densities varying between 5 and 100 microA/cm2 were recorded over subpopulation of mitochondria-rich cells, but never over granulosum cells. These local transepithelial currents had characteristics similar to the activated chloride current observed in the whole skin (Katz, U. and Larsen, E.H. (1984) J. Exp. Biol. 109, 353-371). Replacement of the apical Ringer with chloride-free (nitrate) ringer resulted in reversible reduction in the current at the mitochondria-rich cells. It is concluded that the mitochondria-rich cells are the principal site of passive chloride conductance across the epithelium.     

Hemichannel and junctional properties of connexin 50

Lens fiber connexins, cx50 and cx46 (alpha3 and alpha8), belong to a small subset of connexins that can form functional hemichannels in nonjunctional membranes. Knockout of either cx50 or cx46 results in a cataract, so the properties of both connexins are likely essential for proper physiological functioning of the lens. Although portions of the sequences of these two connexins are nearly identical, their hemichannel properties are quite different. Cx50 hemichannels are much more sensitive to extracellular acidification than cx46 hemichannels and differ from cx46 hemichannels both in steady-state and kinetic properties. Comparison of the two branches of the cx50 hemichannel G-V curve with the junctional G-V curve suggests that cx50 gap junctions gate with positive relative polarity. The histidine-modifying reagent, diethyl pyrocarbonate, reversibly blocks cx50 hemichannel currents but not cx46 hemichannel currents. Because cx46 and cx50 have very similar amino acid sequences, one might expect that replacing the two histidines unique to the third transmembrane region of cx50 with the corresponding cx46 residues would produce mutants more closely resembling cx46. In fact this does not happen. Instead the mutant cx50H161N does not form detectable hemichannels but forms gap junctions indistinguishable from wild type. Cx50H176Q is oocyte lethal, and the double mutant, cx50H61N/H176Q, neither forms hemichannels nor kills oocytes.