Action of quinidine on ionic currents of molluscan pacemaker neurons

The effects of quinidine on the fast, the delayed, and the Ca2+- activated K+ outward currents, as well as on Na+ and Ca2+ inward currents, were studied at the soma membrane from neurons of the marine mollusk Aplysia californica. External quinidine blocks these current components but to different degrees. Its main effect is on the voltage- dependent, delayed K+ current, and it resembles the block produced by quaternary ammonium ions (Armstrong, C. M., 1975, Membranes, Lipid Bilayers and Biological Membranes: Dynamic Properties, 3:325-358). The apparent dissociation constant is 28 microM at V = +20 mV. The blocking action is voltage and time dependent and increases during maintained depolarization. The data are consistent with the block occurring approximately 70-80% through the membrane electric field. Internal injection of quinidine has an effect similar to that obtained after external application, but its time course of action is faster. External quinidine may therefore have to pass into or through the membrane to reach a blocking site. The Ca2+-activated K+ current is blocked by external quinidine at concentrations 20-50-fold higher compared with the delayed outward K+ current. In addition, it prolongs the time course of decay of the Ca2+-activated K+ current. Na+ and Ca2+ inward currents are also blocked by external quinidine, but again at higher concentrations. The effects of quinidine on membrane currents can be seen from its effect on action potentials and the conversion of repetitive "beating" discharge activity to "bursting" pacemaker activity.     

Voltage-dependent membrane ionic currents in lamprey striated muscle

Membrane ionic currents in striated muscle bundles of lamprey suction apparatus were recorded using a double sucrose gap technique. Transmembrane currents in a single muscle fiber and a fiber bundle in the frog were compared so as to check the validity of current measurement in multicell preparations. It was found that fast inward sodium currents arise in the lamprey muscle membrane in response to depolarization together with a delayed outward potassium current, with steady-state characteristics resembling those of membrane currents in frog muscle. The only difference consisted of a flatter curve for steady-state inactivation of potassium current, probably indicative of greater density of potassium channels. Both the changes in reversal potential and the speed of potassium current deactivation occurring during protracted stimuli point to the presence of two fractions in this current. No functioning voltage-dependent calcium channels are found in the lamprey muscle membrane.I. M. Sechenov Institute of Evolutionary Physiology and Biochemistry, Academy of Sciences of the USSR, Leningrad. Translated from Neirofiziologiya, Vol. 18, No. 5, pp. 629–636, September–October, 1986.     

Interaction between sea anemone toxin BgTX8 and ionic channels of neurons isolated from mammals

The action of the toxin BgTX₈ separated from the sea actiniaBunodosoma granolifera on transient tetrodotoxin-sensitive sodium and outward potassium currents of units isolated from rat sensory ganglia was investigated using techniques of voltage clamping at the membrane and intracellular perfusion. It was found that BgTX₈ decelerates the inactivation kinetics but has little effect on activation kinetics of sodium current. At the same time, a 5–10% increase in the amplitude of inward current was often observed at holding potentials of about –100 to –120 mV at the membrane. The dissociation constant of the receptor-toxin equals 4×10^–6 M and is adequately described by Langmuir's isotherm. It was also established that intracellular perfusion of neurons with anemone toxin-containing solution leads to a reduction in the amplitude of sodium current and decelerates its inactivation process. Suppression of outward potassium current was also noted.A. A. Bogomolets Institute of Physiology, Academy of Sciences of the Ukrainian SSR, Kiev. Institute of Brain Research, Academy of Sciences, Havana, Cuba. Translated from Neirofiziologiya, Vol. 20, No. 1, pp. 32–37, January–February, 1988.     

Some effects of prolonged polarization on membrane currents in bullfrog atrial muscle

Summary Bullfrog atrial trabecula were voltage-clamped using a double-sucrose-gap method. Step depolarization produced a slowly changing outward current which was studied by analyzing the current tail produced by repolarization. The initial phase of the current tail (time constant 0.1 to 0.7 sec at –60 mV) had a reversal potential which depended upon the duration and magnitude of the preceding depolarization. Calculations based on trabecular geometry and the behavior of the currents in high external potassium suggest that part of the current tail reflects a restoration to a lower steadystate concentration of external potassium which had accumulated in narrow clefts between cells during the preceding depolarization. Step hyperpolarization produced a declining inward current (time constant 0.3 sec at –100 mV) which can be explained on the basis of a depletion of potassium from these intercellular clefts (about 0.5% of the trabecular volume).     

Extrasynaptic action of vasopressin,oxytocin, and vasotocin neuropeptides on electrically operated ionic channels at the mollusk neuronal membrane

Techniques of intracellular dialysis and neuronal perfusion in the visceral ganglion ofLymnaea stagnalis used during voltage-clamping at the neuronal membrane helped to ascertain that a concentration of 1×10^–16–1×10^–6 M neuroactive peptides (vasopressin, oxytocin, and vasotocin) alter the amplitude of electrically-operated transmembrane ionic currents considerably without affecting the kinetics of current activation and inactivation and surface potential at the membrane. The experimental conditions applying made it possible to record incoming sodium and calcium currents separated from each other as well as outward delayed and transient potassium currents. It was found that electrically-operated cerebral currents could either increase or decline in amplitude under the effects of peptides applied at different concentrations to the membrane of the same unit. Receptors of the peptides investigated in this study are thought to be located within the structure of electrically-operated channels at the neuronal membrane.A. I. Gertsen Teaching Institute, Leningrad. Translated from Neirofiziologiya, Vol. 22, No. 4, pp. 526–533, July–August, 1990.     

Potassium ion accumulation in a periaxonal space and its effect on the measurement of membrane potassium ion conductance

Summary Potassium currents of various durations were obtained from squid giant axons voltage-clamped in artificial seawater solutions containing sufficient tetrodotoxin to block the sodium conductance completely. From instantaneous potassium current-voltage relations, the reversal potentials immediately at the end of these currents were determined. On the basis of these reversal potential measurements, the potassium ion concentration gradient across the membrane was shown to decrease as the potassium current duration increased. The kinetics of this change was shown to vary monotonically with the potassium ion efflux across the membrane estimated from the integral over time of the potassium current divided by the Faraday, and to be independent of both the external sodium ion concentration and the presence or absence of membrane series resistance compensation. It was assumed that during outward potassium current flow, potassium ions accumulated in a periaxonal space bounded by the membrane and an external diffusion barrier. A model system was used to describe this accumulation as a continuous function of the membrane currents. On this basis, the mean periaxonal space thickness and the permeability of the external barrier to K⁺ were found to be 357 Å and 3.21×10^–4 cm/sec, respectively. In hyperosmotic seawater, the value of the space thickness increased significantly even though the potassium currents were not changed significantly. Values of the resistance in series with the membrane were calculated from the values of the permeability of the external barrier and these values were shown to be roughly equivalent to series resistance values determined by current clamp measurements. Membrane potassium ion conductances were determined as a function of time and voltage. When these were determined from data corrected for the potassium current reversal potential changes, larger maximal potassium conductances were obtained than were obtained using a constant reversal potential. In addition, the potassium conductance turn-on with time at a variety of membrane potentials was shown to be slower when potassium conductance values were obtained using a variable reversal potential than when using a constant reversal potential.     

Effects of conditioning polarization on the membrane ionic currents in rat myometrium

Summary Membrane ionic currents were measured in pregnant rat uterine smooth muscle under voltage clamp conditions by utilizing the double sucrose gap method, and the effects of conditioning pre-pulses on these currents were investigated. With depolarizing pulses, the early inward current was followed by a late outward current. Cobalt (1mm) abolished the inward current and did not affect the late outward currentper se, but produced changes in the current pattern, suggesting that the inward current overlaps with the initial part of the late outward current. After correction for this overlap, the inward current reached its maximum at about +10 mV and its reversal potential was estimated to be +62 mV. Tetraethylammonium (TEA) suppressed the outward currents and increased the apparent inward current. The increase in the inward current by TEA thus could be due to a suppression of the outward current. The reversal potential for the outward current was estimated to be –87 mV. Conditioning depolarization and hyperpolarization both produced a decrease in the inward current. Complete depolarization block occurred at a membrane potential of –20 mV. Conditioning hyperpolarization experiments in the presence of cobalt and/or TEA revealed that the decrease in the inward current caused by conditioning hyperpolarization was a result of an increase in the outward current overlapping with the inward current. It appears that a part of the potassium channel population is inactivated at the resting membrane potential and that this inactivation is removed by hyperpolarization.     

Investigation of the TEA-resistant outward current in the somatic membrane of perfused nerve cells

Outward currents remaining after addition of 20–50 mM of tetraethylammonium (TEA) ions to the extracellular or intracellular solution, were investigated in perfused isolatedHelix neurons. After this addition, the inactivated inward current carried by potassium ions, the potential-dependent and kinetic characteristics of which differ from those of potassium outward currents suppressed by TEA, is preserved in the membrane. A component dependent on the inward calcium current was found in this TEA-resistant outward current; it was abolished by replacement of the extra-cellular calcium ions by magnesium ions, by blocking of the calcium channels by extracellular cadmium ions, and by their destruction by intracellular fluoride ions. Increasing the intracellular concentration of free calcium ions by perfusing the cell with solutions containing calcium-EGTA buffer potentiated the TEA-resistant component of the outward current, whereas removal of these ions with EGTA weakened it. It is concluded that a system of outward current channels whose activation depends on the presence of calcium ions near the inner surface of the membrane is present in the somatic membrane. It is suggested that to keep these channels capable of being activated, calcium ions must bind with the structures forming their internal opening.A. A. Bogomolets Institute of Physiology, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Neirofiziologiya, Vol. 11, No. 5, pp. 460–468, September–October, 1979.     

Effect of HgCl2 on acetylcholine,carbachol, and glutamate currents ofAplysia neurons

Summary 1. Using conventional two-microelectrode voltage-clamp techniques we studied the effects of inorganic mercury (HgCl₂) on acetylcholine-, carbachol-, and glutamate-activated currents onAplysia neurons. Hg²⁺ was applied with microperfusion.2. Acetylcholine and carbachol activated an inward, sodium-dependent current in the anterior neurons of the pleural ganglion. The medial neurons gave a biphasic current to acetylcholine and carbachol, which was outward at resting membrane potential. The faster component was Cl^– dependent and reversed at about –60 mV, while the slower component was K⁺ dependent and reversed at greater than –80 mV.3. Hg²⁺ (0.1–10 µM) caused a dramatic increase in the acetylcholine- and carbachol-induced inward current in anterior neurons and the fast Cl^– current in medial neurons. With only a 1-min preapplication of Hg²⁺, the acetylcholine- or carbachol-activated sodium or chloride currents were increased to 300% and the effect was only partly reversible. The threshold concentration was 0.1 µM Hg²⁺.4. Contrary to the effects on sodium and chloride currents, concentrations of 0.1–10 µM Hg²⁺ caused a complete and irreversible blockade of K⁺-dependent acetylcholine and carbachol currents. The block of the potassium current was relatively fast and increased with time. The concentration of HgCl₂ that gave a half-maximal blockade of the carbachol-activated potassium current was 0.89 µM. The chloride-dependent current elicited by glutamate on medial neurons was increased by HgCl₂ as well.5. These results suggest that actions at agonist-activated channels must be considered as contributing to mercury neurotoxicity. It is possible that the toxic actions of Hg²⁺ on synaptic transmission at both pre- and postsynaptic sites are important factors in the mechanism of Hg²⁺ toxicity.     

Time-dependent Outward Currents through the Inward Rectifier Potassium Channel IRK1 : The Role of Weak Blocking Molecules

Outward currents through the inward rectifier K⁺ channel contribute to repolarization of the cardiac action potential. The properties of the IRK1 channel expressed in murine fibroblast (L) cells closely resemble those of the native cardiac inward rectifier. In this study, we added Mg²⁺ (0.44–1.1 mM) or putrescine (∼0.4 mM) to the intracellular milieu where endogenous polyamines remained, and then examined outward IRK1 currents using the whole-cell patch-clamp method at 5.4 mM external K⁺. Without internal Mg²⁺, small outward currents flowed only at potentials between −80 (the reversal potential) and ∼−40 mV during voltage steps applied from −110 mV. The strong inward rectification was mainly caused by the closed state of the activation gating, which was recently reinterpreted as the endogenous-spermine blocked state. With internal Mg²⁺, small outward currents flowed over a wider range of potentials during the voltage steps. The outward currents at potentials between −40 and 0 mV were concurrent with the contribution of Mg²⁺ to blocking channels at these potentials, judging from instantaneous inward currents in the following hyperpolarization. Furthermore, when the membrane was repolarized to −50 mV after short depolarizing steps (>0 mV), a transient increase appeared in outward currents at −50 mV. Since the peak amplitude depended on the fraction of Mg²⁺-blocked channels in the preceding depolarization, the transient increase was attributed to the relief of Mg²⁺ block, followed by a re-block of channels by spermine. Shift in the holding potential (−110 to −80 mV), or prolongation of depolarization, increased the number of spermine-blocked channels and decreased that of Mg²⁺-blocked channels in depolarization, which in turn decreased outward currents in the subsequent repolarization. Putrescine caused the same effects as Mg²⁺. When both spermine (1 μM, an estimated free spermine level during whole-cell recordings) and putrescine (300 μM) were applied to the inside-out patch membrane, the findings in whole-cell IRK1 were reproduced. Our study indicates that blockage of IRK1 by molecules with distinct affinities, spermine and Mg²⁺ (putrescine), elicits a transient increase in the outward IRK1, which may contribute to repolarization of the cardiac action potential.     

Blocking action of calmidazolium and chlorpromazine on outward potassium current dependent on extra-cellular calcium ions

The effects of the calmodulin antagonists, calmidazolium (R 24571) and chlorpromazine on delayed outward potassium current at the somatic membrane were investigated in non-identified intracellularly perfused neurons isolated fromHelix pomatia. Voltage was clamped at the membrane. Extracellular application of these substances produced effective depression of the outward current. This effect even occurred at test substance concentrations of 10^–9–10^–8 M. Block-ade of delayed outward current was produced mainly as a result of suppressing the potassium current component dependent on intracellular potassium ions (I_k(Ca/in)). The possibility that the receptor for intracellular calcium responsible for modulating this current may be of a calmodulin-like nature is discussed.A. A. Bogomolets Institute of Physiology, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Neirofiziologiya, Vol. 19, No. 3, pp. 356–361, May–June, 1987.     

Voltage-gated ion conductances corresponding to regenerative positive and negative spikes in the dinoflagellateNoctiluca miliaris

Depolarization-activated and hyperpolarization-activated ion conductances in the membrane of a marine dinoflagellateNoctiluca miliaris were examined under voltage-clamp conditions.Noctiluca exhibited a transient inward current in response to a step depolarization from a holding potential level of –80 mV to a potential level more positive than –50 mV. The I–V relationship for the current exhibited typical N-shaped characteristics similar to those of most excitable membranes. The current was inactivated by a membrane depolarization. The reversal potential of the current shifted in hyperpolarizing direction when the external Na⁺ concentration was lowered. The transient inward current is assumed to be responsible for the Na⁺-dependent positive spike in non-clamped specimens ofNoctiluca.Noctiluca exhibited a transient outward current in response to a step hyperpolarization from a holding potential level of –20 mV to a potential level more negative than –30 mV. The I–V relationship for the current was a typical N-shape as if it was turned 180° around its origin. The outward current showed a two-step exponential time-decay. The outward current was inactivated by a membrane hyperpolarization. The reversal potential shifted in the depolarizing direction when the external Cl^– concentration was lowered. The transient outward current is responsible for the Cl^–-dependent negative spike in non-clamped specimens ofNoctiluca.Abbreviations ASW artificial seawater - TRP tentacle regulating potentials - TTX tetrodotoxin     

Cation permeability ratios of sodium channels in normal and grayanotoxin-treated squid axon membranes

Summary Permeabilities of squid axon membranes to various cations at rest and during activity have been measured by voltage clamp before and during internal perfusion of 4×10^–5 m grayanotoxin I. The resting sodium and potassium permeabilities were estimated to be 6.85×10^–8 cm/sec and 2.84×10^–6 cm/sec, respectively. Grayanotoxin I increased the resting sodium permeability to 7.38×10^–7 cm/sec representing an 11-fold increase. The potassium permeability was increased only by a factor of 1.24. The resting permeability ratios as estimated by the voltage clamp method before application of grayanotoxin I were Na (1): Li (0.83): formamidine (1.34): guanidine (1.49): Cs (0.87): methylguanidine (0.86): methylamine (0.78). Grayanotoxin I did not drastically change the resting permeability ratios with a result of Na (1): Li (0.95): formamidine (1.27): guanidine (1.16): Cs (0.47): methylguanidine (0.72): methylamine (0.46). The membrane potential method gave essentially the same resting permeability ratios before and during application of grayanotoxin I if corrections were made for permeability to choline as the cation substitute and for changes in potassium permeability caused by test cations. The permeability ratio choline/Na was estimated to be 0.72 by the voltage clamp method and 0.65 by the membrane potential method. Grayanotoxin I decreased the ratio to 0.43. The permeability ratios during peak transient current were estimated to be Na (1): Li (1.12): formamidine (0.20): guanidine (0.20): Cs (0.085): methylguanidine (0.061): methylamine (0.036). Thus the sodium channels for the peak current are much more selective to cations than the resting sodium channels. It appears that the resting sodium channels in normal and grayanotoxin I-treated axons are operationally different from the sodium channels that undergo a conductance increase upon stimulation.     

Blocking action of Nephila clavata spider toxin on ionic currents activated by glutamate and its agonists in isolated hippocampal neurons

The blocking action ofNephila clavata spider neurotoxin, or JSTX, on ionic currents activated by L-glutamate and its agonists when applied to the membrane of neurons isolated from the rat hippocampus was investigated using a concentration clamp technique. Crude JSTX venom was found to block L-glutamate-, quisqualate, and kainate-activated ionic currents induced by activating non-N-methyl-D-aspartate (non-NMDA) membrane receptors. Following the effects of JSTX, ionic currents activated by L-glutamate and its agonists declined to 34–36% of their initial value with no recovery during JSTX washout. An active fraction of JSTX at concentrations of 10^–4–10^–5 produced almost total but partially reversible blockade of ionic currents. The action of JSTX became less effective during depolarization. The concentration dependence of JSTX-induced blockade of kainate-activated ionic currents was investigated and the velocity constants of interaction between the toxin and glutamate receptors obtained. It is postulated that JSTX interacts with chemically-operated non-NMDA ionic channels, blocking their transition into a number of their possible open states.A. A. Bogomolets Institute of Physiology, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Neirofiziologiya, Vol. 21, No. 2, pp. 152–160, March–April, 1989.     

Blocking of Ca-dependent outward current in molluscan neuron somatic membrane by raised intracellular pH

The action of a raised intracellular pH (pH_i) on transmembrane ionic currents was investigated on isolated unidentified neurons ofHelix pomatia under intracellular dialysis and membrane voltage clamping conditions. With a rise in pH_i from 7.3 to 9.0 and in the simultaneous presence of an inward calcium current, the outward potassium current was considerably reduced and the current-voltage characteristic curve was shifted toward more positive membrane potential values. The inward calcium current was practically unchanged in this case. If, however, the calcium current was inhibited by the action of cadmium ions, no decrease in the outward current was observed, only a shift of the I_K(V) curve toward more positive values of membrane potential. It is suggested that an increase in pH_i selectively blocks the Ca-dependent component of the outward potassium current.A. A. Bogomolets Institute of Physiology, Academy of Sciences of the Ukrainian SSR, Kiev. Translated from Neirofiziologiya, Vol. 14, No. 4, pp. 426–430, July–August, 1982.     

Role of the inward K rectifier in the repetitive activity at the depolarized level in single ventricular myocytes

The role of the inward K⁺ rectifier in the repetitive activity at depolarized levels was studied in guinea pig single ventricular myocytes by voltage- and current-clamp methods. In action potentials arrested at the plateau by a depolarizing current, small superimposed hyperpolarizing currents caused much larger voltage displacements than at the resting potential and sometimes induced a regenerative repolarization. Around –20 mV, sub- and suprathreshold repetitive inward currents were found. In the same voltage range, small hyperpolarizing currents reversed their polarity. During depolarizing voltage-clamp ramps, around –20 mV there was a sudden decrease in the outward current (I_ns: current underlying the negative slope in the inward K⁺ rectifier steady state I–V relation). During repolarizing ramps, the reincrease in outward current was smaller and slower. During depolarizing and repolarizing current ramps, sudden voltage displacements showed a similar asymmetry. Repetitive I_ns could continue as long as the potential was kept at the level at which they appeared. Depolarizing voltage-clamp steps also caused repetitive I_ns and depolarizing current steps induced repetitive slow responses. Cadmium and verapamil reduced I_ns amplitude during the depolarizing ramp. BRL 34915 (cromakalim), an opener of the ATP-sensitive K⁺ channel, eliminated the negative slope and I_ns, whereas barium increased I_ns frequency (an effect abolished by adding BRL). Depolarization-induced slow responses persisted in an NaCl-Ca-free solution. Thus, the mechanism of repetitive activity at the depolarized level appears to be related to the presence of the negative slope in the inward K⁺ rectifier I–V relation.     

Voltage clamp studies on the effect of internal cesium ion on sodium and potassium currents in the squid giant axon

Isolated and cleaned giant axons of Loligo pealii were internally perfused with solutions containing cesium sulfate and potassium fluoride. Membrane currents obtained as a function of clamped membrane potentials indicated a severe depression of the delayed outward current component normally attributed to potassium ion movement. Steady-state currents showed a negative slope in the potential range from -45 to -5 mv which corresponded to the negative slope for the peak sodium current relation vs. membrane potential which suggested long duration sodium currents. Using sodium-free sea water externally, sodium currents were separated from total currents and these persisted for longer times than normal. This result suggested that internal cesium ion delays the sodium conductance turnoff. The separated nonsodium currents showed an abnormal rectification as compared with those predicted by the independence principle, such that while potassium permeability appeared normal at the resting potential, its value decreased progressively with increasing depolarization.     

Human Adipose Cells Have Voltage-dependent Potassium Currents

The whole-cell patch-clamp method was used to study the membrane electrical properties of human adipocyte cells obtained by differentiating from precursors of human abdominal and mammary tissues. All differentiated cells exhibited outward currents with sigmoidal activation kinetics. The outward currents showed activation thresholds between –20 to –30 mV and slow inactivation. The ionic channels underlying the macroscopic current were highly selective for K⁺. Their selectivity was for typical K⁺ channels with relative permeabilities of K⁺>NH ₄ ⁺ >Cs⁺>Na⁺. No evidence of any other type of voltage-gated channel was found. The potassium currents (I _KV) were blocked reversibly by tetraethylammonium and barium. The IC ₅₀ value and Hill coefficient of tetraethylammonium inhibition of I _KV were 0.56 mM and 1.17 respectively. These results demonstrate that human adipose cells have voltage-dependent potassium currents.     

Sodium and Potassium Ion Effluxes from Squid Axons under Voltage Clamp Conditions

Squid giant axons loaded with Na²⁴ were subjected to short duration (0.5 msec.) clamped depolarizations of about 100 mv at frequencies of 20/sec. and 60/sec. while in choline sea water. Under such conditions the early outward current was just about maximal at the time of termination of the clamping pulse. An integration of the early current versus time record gave 1.2 μcoulomb/cm² pulse, while a measurement of the extra Na²⁴ efflux resulting from repetitive pulsing gave a charge transfer of 1.4 μcoulomb/cm² pulse. In sodium-containing sea water and with pulses 50-75 mv more positive than E_Na the Na²⁴ efflux is about 3 times the measured charge transfer. The efflux of K⁴² from a previously loaded axon into normal sea water is only 50 per cent of the measured charge transfer when the membrane is held for about 5 msec. at a potential such that there is no early current, and such pulses are at 10-20/sec. The experiments appear to confirm the suggestion that the early current during bioelectric activity is sodium but provide unsatisfactory support for the identification of the delayed but sustained current solely with potassium ions. Resting Na⁺ efflux is 0.6 pmole/cm² sec. mmole [Na]₁, while the apparent K⁺ efflux is about 250 pmole/cm² sec. and is little affected by hyperpolarization.     

Effects of internal and external sodium on the sodium current-voltage relationship in thesquid giant axon

Summary The early transient current-voltage relationship was measured in internally perfused voltage clamped squid giant axons with various concentrations of sodium on the two sides of the membrane. In the absence of sodium on either side there is an outward transient current which is blocked by tetrodotoxin and varies with internal potassium concentration. The current increases linearly with voltage for positive potentials. Adding sodium ions internally increases the slope of the current-voltage relationship. Adding sodium ions externally also increases the slope between +10 and +80 mV. Adding sodium to both sides produces the sum of the two effects.The current-voltage relationships were fit by straight lines between +10 and +80 mV. Plotting the extrapolated intercepts with the current axis against the differences in sodium concentrations gave a straight line,I _o =–P(c _o –c _i )F.P, the Fickian permeability, is about 10^–4 cm/sec. Plotting the slopes in three dimensions against the two sodium concentrations gave a planeg=g _o +(aNa _o +bNa _i )F.a is about 10^–6 cm/mV-sec andb about 3×10^–6 cm/mV-sec. Thus the current-voltage relationship for the sodium current is well described byI=–P(c _o –c _i )F+(ac _o +bc _i )FV for positive potentials. This is the linear sum of Fick's Law and Ohm's Law.P/(a+b)=25±1 mV (N=6) and did not vary with the absolute magnitude of the currents. Within experimental error this is equal tokT/e orRT/F.Increasing temperature increasedP, a andb proportionately. Adding external calcium, lithium, or Tris selectively decreasedP anda without changingb. In the absence of sodium, altering internal and external potassium while observing the early transient currents suggests this channel is more asymmetric in its response to potassium than to sodium.