Effects of external ions on membrane potentials of a lobster giant axon

The effects of varying external concentrations of normally occurring cations on membrane potentials in the lobster giant axon have been studied and compared with data presently available from the squid giant axon. A decrease in the external concentration of sodium ions causes a reversible reduction in the amplitude of the action potential and its rate of rise. No effect on the resting potential was detected. The changes are of the same order of magnitude, but greater than would be predicted for an ideal sodium electrode. Increase in external potassium causes a decrease in resting potential, and a decrease in potassium causes an increase in potential. The data so obtained are similar to those which have been reported for the squid giant axon, and cannot be exactly fitted to the Goldman constant field equation. Lowering external calcium below 25 mM causes a reduction in resting and action potentials, and the occasional occurrence of repetitive activity. The decrease in action potential is not solely attributable to a decrease in resting potential. Increase of external calcium from 25 to 50 mM causes no change in transmembrane potentials. Variations of external magnesium concentration between zero and 50 mM had no measurable effect on membrane potentials. These studies on membrane potentials do not indicate a clear choice between the use of sea water and Cole's perfusion solution as the better external medium for studies on lobster nerve.     

Effects of external ions on membrane potentials of a crayfish giant axon

Transmembrane potentials in the crayfish giant axon have been investigated as a function of the concentration of normally occurring external cations. Results have been compared with data already available for the lobster and squid giant axons. The magnitude of the action potential was shown to be a linear function of the log of the external sodium concentration, as would be predicted for an ideal sodium electrode. The resting potential is an inverse function of the external potassium concentration, but behaves as an ideal potassium electrode only at the higher external concentrations of potassium. Decrease in external calcium results in a decrease in both resting potential and action potential; an increase in external calcium above normal has no effect on magnitude of transmembrane potentials. Magnesium can partially substitute for calcium in the maintenance of normal action potential magnitude, but appears to have very little effect on resting potential. All ionic effects studied are completely reversible. The results are in generally good agreement with data presently available for the lobster giant axon and for the squid giant axon.     

Action of External Divalent Ion Reduction on Sodium Movement in the Squid Giant Axon

Voltage clamp measurements of the sodium potential have been made on the resting squid giant axon to study the effect of variations in external divalent ion concentration upon net sodium flux. From these measurements the intracellular sodium concentration and the net sodium inflow were calculated using the Nernst relation and constant activity coefficients. While an axon bathed in artificial sea water shows a slow increase in internal sodium concentration, the rate of sodium accumulation is increased about two times by reducing external calcium and magnesium concentrations to 0.1 times their normal values. The mean inward net sodium flux increases from a mean control value of 97 pmole/cm² sec. to 186 pmole/cm² sec. in low divalent solution. Associated with these effects of external divalent ion reduction are a marked decrease in action potential amplitude, little or no change in resting potential, and a shift along the voltage axis of the curve relating peak sodium conductance to membrane potential similar to that obtained by Frankenhaeuser and Hodgkin (1957). These results implicate divalent ions in long term (minutes to hours) sodium permeability.     

Interactions of Calcium with Sodium and Potassium in Membrane Potentials of the Lobster Giant Axon

Experiments were performed on the lobster giant axon to determine the relation between intracellular spike amplitude and external calcium ion concentration. Action potential decline in low external calcium is greatly accelerated by simultaneous removal of external sodium ion. Correlation of the time course of spike decline in low calcium-low sodium solution with the time courses of spike decline in low calcium alone and in low sodium alone indicates that the effect of simultaneous removal of both ions is significantly greater than the sum of the individual effects. For a given time of treatment, spike amplitude was a function of external calcium concentration. While spike height is proportional to the log of the external calcium concentration over the range 2.5 to 50 millimolar, the proportionality constant is dependent upon the sodium concentration. Under the conditions of low external sodium (50 per cent reduction) the slope of the linear relationship between the spike height and the log of the external calcium concentration is about 5 times greater than in normal external sodium. Decreasing external calcium concentration and simultaneously increasing external potassium concentration produce a greater spike reduction than the arithmetic sum of spike reductions in low calcium alone and in high potassium alone. It is suggested that calcium interacts strongly with sodium and potassium in the spike-generating mechanism. A theoretical basis for these results is discussed.     

Membrane Potentials of the Lobster Giant Axon Obtained by Use of the Sucrose-Gap Technique

A method similar to the sucrose-gap technique introduced be Stäpfli is described for measuring membrane potential and current in singly lobster giant axons (diameter about 100 micra). The isotonic sucrose solution used to perfuse the gaps raises the external leakage resistance so that the recorded potential is only about 5 per cent less than the actual membrane potential. However, the resting potential of an axon in the sucrose-gap arrangement is increased 20 to 60 mv over that recorded by a conventional micropipette electrode when the entire axon is bathed in sea water. A complete explanation for this effect has not been discovered. The relation between resting potential and external potassium and sodium ion concentrations shows that potassium carries most of the current in a depolarized axon in the sucrose-gap arrangement, but that near the resting potential other ions make significant contributions. Lowering the external chloride concentration decreases the resting potential. Varying the concentration of the sucrose solution has little effect. A study of the impedance changes associated with the action potential shows that the membrane resistance decreases to a minimum at the peak of the spike and returns to near its initial value before repolarization is complete (a normal lobster giant axon action potential does not have an undershoot). Action potentials recorded simultaneously by the sucrose-gap technique and by micropipette electrodes are practically superposable.     

Competitive Action of Calcium and Procaine on Lobster Axon : A study of the mechanism of action of certain local anesthetics

Voltage clamp studies with the squid giant axon have shown that changes in the external calcium concentration (Frankenhaeuser and Hodgkin, 1957) shift the sodium and potassium conductance versus membrane potential curves along the potential axis. Taylor (1959) found that procaine acts primarily by reducing the sodium and, to a lesser extent, the potassium conductances. Both procaine and increased calcium also delay the turning on of the sodium conductance mechanism. Calcium and procaine have similar effects on lobster giant axon. In addition, we have observed that the magnitude of the response to procaine is influenced by the external calcium concentration. Increasing external calcium tends to reduce the effectiveness of procaine in decreasing sodium conductance. Conversely, procaine is more effective in reducing the membrane conductance if external calcium is decreased. The amplitude of the nerve action potential reflects these conductance changes in that, for example, reductions in amplitude resulting from the addition of procaine to the medium are partially restored by increasing external calcium, as was first noted by Aceves and Machne (1963). These phenomena suggest that calcium and procaine compete with one another with respect to their actions on the membrane conductance mechanism. The fact that procaine and its analogues compete with calcium for binding to phospholipids in vitro (Feinstein, 1964) suggests that the concept of competitive binding to phospholipids may provide a useful model for interpreting these data.     

Slow Changes of Potassium Permeability in the Squid Giant Axon

A slow potassium inactivation i.e. decrease of conductance when the inside of the membrane is made more positive with respect to the outside, has been observed for the squid axon. The conductance-potential curve is sigmoid shaped, and the ratio between maximum and minimum potassium conductance is at least 3. The time constant for the change of potassium conductance with potential is independent of the concentration of potassium in the external solution, but dependent upon potential and temperature. At 9 degrees C and at the normal sea water resting potential, the time constant is 11 sec. For lower temperature or more depolarizing potentials, the time constant is greater. The inactivation can be described by modifying the Hodgkin-Huxley equation for potassium current, using one additional parameter. The modified equation is similar in form to the Hodgkin-Huxley equation for sodium current, suggesting that the mechanism for the passive transport of potassium through the axon membrane is similar to that for sodium.     

The pH Dependency of Relative Ion Permeabilities in the Crayfish Giant Axon

The dependence of the membrane potential on potassium, chloride, and sodium ions, was determined at the pH's of 6.0, 7.5, and 9.0 for the resting and depolarized crayfish ventral nerve cord giant axon. In normal saline (external potassium = 5.4 mM), the dependence of the membrane potential on the external potassium ions decreased with lowered pH while that for chloride increased. In contrast, in the potassium depolarized axon (external potassium = 25 mM), the dependence of the membrane potential on external potassium was minimum around pH 7.5 and increased in either more acidic or basic pH. In addition, the dependence of the membrane potential on external chloride in the depolarized axon was maximum at pH 7.5 and decreased in either more acidic or basic pH. The sodium dependency of the membrane potential was small and relatively unaffected by pH or depolarization. The data are interpreted as indicating a reversible surface membrane protein-phospholipid conformation change which occurs in the transition from the resting to the depolarized axon.     

Relative Ion Permeabilities in the Crayfish Giant Axon Determined from Rapid External Ion Changes

The changes in membrane potential of isolated, single crayfish giant axons following rapid shifts in external ion concentrations have been studied. At normal resting potential the immediate change in membrane potential after a variation in external potassium concentration is quite marked compared to the effect of an equivalent chloride change. If the membrane is depolarized by a maintained potassium elevation, the immediate potential change due to a chloride variation becomes comparable to that of an equivalent potassium change. There is no appreciable effect on membrane potential when external sodium is varied, at normal or at a depolarized membrane potential. Starting from the constant field equation, expressions for the permeability ratios P _Cl/P _K, P _Na/P _K, and for intracellular potassium and chloride concentrations are derived. At normal resting membrane potential, P _Cl/P _K is 0.13 but at a membrane potential of -53 mv (external potassium level increased about five times) it is 0.85. The intracellular concentrations of potassium and chloride are estimated to be 233 and 34 mM, respectively, and it is pointed out that this is not compatible with ions distributed in a Nernst equilibrium across the membrane. It is also stressed that the information given by a plot of membrane potential vs. the logarithm of external potassium concentrations is very limited and rests upon several important assumptions.     

Effects of Some Inhibitors on the Temperature-Dependent Component of Resting Potential in Lobster Axon

The resting membrane potential of the lobster axon becomes 5–8 mv more negative when the temperature of the perfusion solution is increased 10°C. This potential change is about twice that predicted if the axon membrane potential followed that expected for a potassium ion electrode potential. When the inhibitors, 2, 4-dinitrophenol, sodium cyanide, and sodium azide, were added separately to the perfusion medium the potential change was reduced to about 1.4 times that predicted for a potassium ion electrode potential. Assays of axons exposed to these inhibitors showed that ATP levels were reduced to about one-fourth that obtained for control axons. Ouabain added to the perfusion medium reduced the potential change to that expected for a potassium ion electrode potential. These results suggest that the resting potential changes with temperature as a result of the activity of an electrogenic ion pump.     

Ionic conductance changes in lobster axon membrane when lanthanum is substituted for calcium

The trivalent rare earth lanthanum was substituted for calcium in the sea water bathing the exterior of an "artificial node" of a lobster axon in a sucrose gap. It caused a progressive rise in threshold, and a decrease in the height of the action potential as well as in its rates of rise and fall. Prolonged application produced an excitation block. Voltage-clamp studies of the ionic currents showed that the time courses of the ionic conductance changes for both sodium and potassium were increased. Concurrently, the potentials at which the conductance increases occurred were shifted to more positive inside values for the La+++ sea water. These effects resemble changes resulting from a high external calcium concentration. Over and above this, La+++ also causes a marked reduction in the maximum amount of conductance increase following a depolarizing potential step. Membrane action potentials similar to those observed experimentally in the La+++ solution have been computed with appropriate parameter changes in the Hodgkin-Huxley equations.     

Surface charges on membranes

Summary The equations of membrane potential developed by Kobatake and coworkers have been applied to the literature data on the resting membrane potential of the crayfish andMyxicola axons to derive values for the surface charge density present on the axon membranes. Some shortcomings of the method are briefly discussed. The value for the surface charge density derived for the squid axon membrane agreed with a similar value derived from measurements of shifts in Na and/or potassium conductance-voltage relations following changes in the concentration of calcium in the solutions bathing the axons.     

Ionic events following GABA receptor activation in an identified insect motor neuron

The ionic events underlying gamma-aminobutyric acid (GABA) receptor activation on the cell body of a cockroach identified motor neuron were investigated by using current-clamp and voltage-clamp techniques. The reversal potential for GABA-induced hyperpolarization was -77.0 +/- 2.4 mV (mean +/- s.e.m.; n = 22). The reversal potential for GABA was highly sensitive to changes in external chloride, only weakly affected by changes in external potassium, and independent of changes in either sodium or calcium ion concentration. Intracellular ion-sensitive microelectrodes confirmed that an influx of chloride ions mediated the GABA response. Intracellular injection of acetate, citrate, sulphate, fluoride or ammonium caused no change in the reversal potential for GABA. Intracellular injection of chloride, bromide, chlorate, bromate, or methyl sulphate shifted the reversal potential for GABA to values more positive than resting membrane potential. Evidence for chloride accumulating and for extrusion mechanisms was examined by using putative inhibitors. However, internal application of ammonium ions, and external application of 4-acetamido-4'-isothiocyanatostilbene-2,2'-disulphonic acid (SITS), 4,4'-diisothiocyanatostilbene-2,2'-disulphonic acid (DIDS), acetazolamide, furosemide, ammonium, zinc and copper ions, were all without effect on the reversal potential for GABA.     

Cooperative phenomena in the membrane potential of parathyroid cells induced by divalent cations

Membrane potentials of mouse parathyroid cells were measured by means of the intracellular microelectrode method. The membrane potential in external Krebs solution containing 2.5 mM of Ca++ was -23.6 +/- 0.4 mV (mean +/- standard error of mean). The low concentration of Ca++ (1.0 mM) caused hyperpolarization of the membrane potential to -61.7 +/- 0.8 mV. The membrane potential was proportional to the logarithm of the concentration of K ion in the solution of low Ca ion. The concentration of external Na+, C1- and HPO4-- had no effect on the membrane potential. The sigmoidal transition of membrane potentials was induced by the change of Ca ion concentration in the range from 2.5 to 1.0 mM. The change of the membrane potentials in low Ca ion is originated from increase in potassium permeability of the cell membrane. The similar sigmoidal changes of the membrane potentials were observed in the solution containing 4 to 3 mM of Sr ion. The Mg and Ba ion showed smaller effect on the membrane potential. The Goldman equation was extended to divalent ions. Appling the extended membrane potential equation, ratios of the permeability coefficients were obtained as follows: PK/PCa = 0.067 for 2.5 mM Ca++, 0.33 for 1.0 mM Ca++; PK/PSr = 0.08 for 4 mM Sr++ and 0.4 for 3 mM Sr++; PK/PMg = 0.5; PK/PBa = 0.67 for all range of concentration. The Hill constants of Sr ion and Ca ion were 20; the relationship between Sr ion and Ca ion was competitive. The Hill constants of Mg and Ba ion were 1 each. The Hill constant of Ca ion was depend of the temperature; nmax = 20 at 36 degrees C, n = 9 at 27 degrees C, n = 2 at 22 degrees C. The enthalpy of Ca-binding reaction was obtained from the Van't Hoff plot as 0.58 kcal. The activation energies of the K+ permeability increase were obtained from the Arrhenius plots as 3.3 kcal and 4 kcal. The difference, 0.7 kcal, corresponds to the enthalpy change of this reaction, of which value is close to that of the Ca-binding reaction.     

Effect of pH on the Membrane Potential and Electrical Resistance of Nitella flexilis in the Presence of Calcium

Effects of pH on the membrane potential and electrical resistanceof Nitella were investigated in a bathing medium with or withoutcalcium. The membrane potential became more negative as theexternal pH was raised, at a faster rate in the presence ofcalcium than in its absence. The value then achieved by thepotential could be reversed by restoring the original pH whilstin a Ca-free medium the cell remained ‘hyperpolarized’.Tenfold changes of the external concentration of potassium broughtabout larger modifications of the membrane potential when thepH of the solution was high and calcium concentration low. Theelectrical resistance was lowest in alkaline and calcium-freesolutions. We conclude that calcium prevents the mediation ofsome changes in the membrane structure by lowering the concentrationof external H⁺ ions, and that the permeability of Nitella topotassium increases with rising pH.     

Cytoplasmic Ca2+, K+, Cl-, and NO3- Activities in the Liverwort Conocephalum conicum L. at Rest and during Action Potentials

Intracellular Ca2+, K+, Cl-, and NO3- activities were measured with ion-selective microelectrodes in the liverwort Conocephalum conicum L. at rest, during dark/light changes, and in the course of action potentials triggered by light or electrical stimuli. The average free cytosolic Ca2+ concentration was 231 [plus or minus] 65 nM. We did not observe any light-dependent changes of the free cytosolic Ca2+ concentration as long as no action potential was triggered. During action potentials, on average a 2-fold increase of the free cytoplasmic Ca2+ concentration was recorded. Intracellular K+ activity was 76 [plus or minus] 10 mM. It did not depend on K+ concentration changes in the bath solution between 0.1 and 10 mM. The average equilibrium potential for K+ in the standard medium containing 1 mM K+ was -110 mV, which differed significantly from the resting potential of -151 [plus or minus] 2 mV. During action potentials, either a slight decrease or no changes in intracellular K+ activity were recorded. The average Cl- activity was 7.4 [plus or minus] 0.2 mM in the cytoplasm and 43.5 [plus or minus] 7 mM in the vacuole. The activities of NO3- were 0.63 [plus or minus] 0.05 mM in the cytoplasm and 3.0 [plus or minus] 0.3 mM in the vacuole. For both anions the vacuolar activity was 5 to 6 times higher than the cytoplasmic activity. After the light was switched off both the Cl- and the NO3- activity showed either no change or a slight increase. Illumination caused a gradual return to previous values or no change. During action potentials a slight decrease of intracellular Cl- activity was recorded. It was concluded that in Conocephalum, as in characean cells, chloride channels are involved in the depolarization phase of the action potentials. We discuss a model for the ion fluxes during an action potential in Conocephalum.     

Effect of Divalent Cations on Potassium Conductance of Squid Axons: Determination of Surface Charge

Potassium conductance-voltage curves have been determined for a squid axon in high external potassium solution for a wide range of divalent cation concentrations. A decrease in divalent ion concentration shifts the conductance-voltage curve along the voltage axis in the direction of more hyperpolarized voltages by as much as 9 mv for an e-fold change in concentration. When the divalent ion concentration is less than about 5 mM, a further decrease does not cause a significant shift of the conductance-voltage curve. These results can be explained by assuming that on the outer surface of the membrane there is a negative fixed charge which can bind calcium ions, and that the axon is sensitive to the resulting double-layer potential. From our data, the best value for charge density was found to be one electronic charge per 120 square angstroms, and a lower limit to be one electronic charge per 280 square angstroms.     

Anomalous Rectification in the Squid Giant Axon Injected with Tetraethylammonium Chloride

The injection of tetraethylammonium chloride into the giant axon of the squid prolongs the action potential and eliminates most of the late current under voltage-clamp. Experiments on fibers in an external medium of high potassium ion concentration demonstrate that injected tetraethylammonium chloride causes rectification of the instantaneous current-voltage curve for potassium by excluding outward current. This interference with the flow of outward potassium ion current underlies the prolongation of the action potential seen in tetraethylammonium-injected fibers.     

Slow potential changes in mammalian muscle fibers during prolonged hyperpolarization: Transport number effects and chloride depletion

Summary Mammalian skeletal muscle fibers exhibit large slow changes in membrane potential when hyperpolarized in standard chloride solutions. These large slow potential changes are radically reduced in low chloride solutions, where the faster and smaller potential change (creep), usually observed in amphibian fibers, becomes apparent. The slow potential change during a hyperpolarizing current pulse leads to an increase in apparent resistance of up to nine times the instantaneous value and takes minutes to reach a steady value. It then takes a similar time to decay very slowly back to the resting membrane potential after the current pulse. The halftime for the slow potential change was found to be inversely proportional to the current magnitude. From measurements of immediate postpulse membrane potentials, assuming constant ionic permeabilities, the internal chloride concentration was calculated to decrease exponentially towards a steady value (e.g., for one fiber from 12.3 to 6.6mm after a 330-sec pulse). The time course and magnitude of the concentration change were predicted from chloride transport number differences, and the known and measured properties of the fibers, and were found to agree very well with the values obtained from experimental measurements. In addition, the shapes of theV ₂-V ₁ responses, measured in the three-electrode current clamp set-up with either potassium chloride or potassium citrate current electrodes, were as predicted by transport number chloride depletion effects and were at variance with the predictions of a permeability change mechanism.     

A study of the crustacean axon repetitive response. 3. A comparison of the effect of veratrine sulfate solution and potassium-rich solutions

The crustacean single nerve fiber gives rise to trains of impulses during a prolonged depolarizing stimulus. It is well known that the alkaloid veratrine itself causes a prolonged depolarization; and consequently it was of interest to investigate the effect of this chemically produced depolarization on repetitive firing in the single axon and compare it with the effect of depolarization by an applied stimulating current or by a potassium-rich solution. It was found that veratrine depolarization, though similar in some respects to a potassium-rich depolarization of depolarizing current effect, was in many respects quite different. (1) At low veratrine concentration, less than 1 Mg%, the negative after potential following a spike action potential was prolonged and augmented. At higher concentrations or after a long period of time, veratrine caused a prolonged steady state depolarization of the membrane, the “veratrine response”. The prolonged plateau depolarization response could be elicited with or without an action potential spike by a short or long duration stimulating pulse, but only if the veratrine depolarization was prevented or offset by an applied conditioning hyperpolarizing inward current. (2) The “veratrine response” resembled the potassium-rich solution response in the plateau-like contour of the depolarization and the very low membrane resistance during this plateau phase. Like the potassium response, it was possible to obtain a typical hyperpolarizing response with an inwardly directed current pulse if applied during the plateau phase. During the negative after potential augmented with veratrine, however, this hyperpolarizing response was not observed. (3) In contrast to the potassium response, however, the “veratrine response” is intimately associated with the sodium concentration in the external medium. The depolarization in millivolts is linearly related to the log of the concentration of external sodium. Moreover, during veratrine action there is a continuous and progressive inactivation of the sodium mechanism which ultimately terminates repetitive firing and abolishes the spike action potential. Then even with conditioning hyperpolarization only the slow response may be elicited in veratrine, occasionally with a spike superimposed if sodium is present, but without repetitive firing. (4) It is concluded that veratrine action is the result of a chemical or metabolic reaction by the alkaloid in the membrane. It is suggested that veratrine may inhibit the sodium extrusion mechanism, or may itself compete for sites in the membrane with calcium and/or sodium. This explains the inhibiting effect of high calcium, the abolition of the “veratrine response” with low temperature and high calcium combined and the progressive inactivation of the sodium system.