Leak Current Rectification in Myxicola Giant Axons : Constant field and constant conductance components

Early leak current, i.e. for times similar to the time to peak of the transient current was measured in Myxicola giant axons in the presence of tetrodotoxin. The leak current-voltage relation rectifies, showing more current for strong depolarizing pulses than expected from symmetry around the holding potential. A satisfactory practical approximation for most leak corrections is constant resting conductance. The leak current-voltage curve rectifies less than expected from the constant field equation. These curves cannot be reconstructed by summing the constant field currents for sodium and potassium using a P_Na/P_K ratio obtained in the usual way, from zero current constant field fits to resting membrane potential data. Nor can they be reconstructed by summing the constant field current for potassium with that for any other single ion. They can be reconstructed, however, by summing the constant field current for potassium with a constant conductance component. It is concluded that the leak current and the resting membrane potential, therefore, are determined by multiple ionic components, at least three and possibly many. Arguments are presented suggesting that ion permeability ratios obtained in the usual way, by fitting the constant field equation to resting membrane potential data should be viewed with skepticism.     

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.     

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.     

Current- and Voltage-Clamped Studies on Myxicola Giant Axons : Effect of tetrodotoxin

A new dissection procedure for preparing Myxicola giant axons for observation under voltage clamp is described. Preparation time is generally 40–45 min. 65–70% of the preparations attempted may be brought through the entire procedure, including insertion of the long internal electrode, and support an initial action potential amplitude of 100 mv or greater. Mean values for axon diameter, resting membrane potential, action potential amplitude, maximum peak inward transient current, and resting membrane resistance are 560 µ, —66.5 mv, 112 mv, 0.87 ma/cm² and 1.22 KΩ cm ² respectively. Cut branches do not seem to be a problem in this preparation. Behavior under voltage clamp is reasonably stable over several hours. Reductions in maximum inward transient current of 10% and in steady-state current of 5–10% are expected in the absence of any particular treatment. Tetrodotoxin blocks the action potential and both the inward and outward transient current, but has no effect on either the resting membrane potential or the steady-state current. This selective action of tetrodotoxin on the transient current is taken as an indication that this current component is probably carried by Na.     

Current Separations in Myxicola Giant Axons

The effect of reducing the external sodium concentration, [Na]_o, on resting potential, action potential, membrane current, and transient current reversal potential in Myxicola giant axons was studied. Tris chloride was used as a substitute for NaCl. Preliminary experiments were carried out to insure that the effect of Tris substitution could be attributed entirely to the reduction in [Na]_o. Both choline and tetramethylammonium chloride were found to have additional effects on the membrane. The transient current is carried largely by Na, while the delayed current seems to be independent of [Na]_o. Transient current reversal potential behaves much like a pure Nernst equilibrium potential for sodium. Small deviations from this behavior are consistent with the possibility of some small nonsodium component in the transient current. An exact P_Na/P_K for the transient current channels could not be computed from these data, but is certainly well greater than unity and possibly quite large. The peak of the action potential varied with [Na]_o as expected for a sodium action potential with some substantial potassium permeability at the time of peak. Resting membrane potential is independent of [Na]_o. This finding is inconsistent with the view that the resting membrane potential is determined only by the distribution of K and Na, and P_Na/P_K. It is suggested that P_Na/P_K's obtained from resting membrane potential-potassium concentration data do not always have the physical meaning generally attributed to them.     

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.     

Structure of the squid axon membrane as derived from charge-pulse relaxation studies in the presence of absorbed lipophilic ions

Summary Charge-pulse relaxation studies were performed on squid giant axons in the presence of membrane absorbed lipophilic anions, dipicrylamine (DPA) and tetraphenylborate (TPhB), and of specific blockers of sodium and potassium active currents. With the instrumentation used in this work a time resolution of 5 to 10 sec was easily obtained without any averaging, although the voltage relaxations were always smaller than 5 mV in amplitude in order to keep the membrane voltage in a range where the used theory cyn be linearized. Two well distinguishable linear relaxations were invariably observed in the presence of the lipophilic anions. With DPA the fast relaxation (time constants between 8 and 70 sec) was attributed to the redistribution of the lipophilic ions within the membrane following the change in membrane potential. The long relaxation process (time constant in the millisecond range) corresponds to the normal voltage relaxation of the passive squid axon membrane slightly modified by the process of redistribution of the extrinsic ions.The results support the same model for the translocation of lipophilic ions within the nerve membrane proposed earlier for artificial lipid bilayers. The fit of the data with a single barrier model yields the translocation rate constant,K, and the total concentration,N _t , of membrane absorbed ions, from which the membrane-solution partition coefficient, , can be derived. Both for DPA and TPhB,K had values close to those measured for solvent-free artificial lipid bilayers. The axon membrane appears as fluid mosaic membrane with a thickness of about 2.5 nm for the lipid bilayer part.In axons treated with DPA the dependence of relaxation data upon the holding membrane potential, , provided information on the asymmetry of the membrane structure. The data were best fitted by assuming that nearly 100% of the membrane potential drops between the two free energy minima where the extrinsic ions are located, indicating that these minima lie very close to the membrane-solution interfaces, in the region of the phospholipid polar heads. The asymmetry voltage,E _o, at which the extrinsic ions are expected to be equally distributed between the two sides of the membrane was found to range between –35 and –65 mV (inside negative), depending on the assumed shape of the free energy barrier describing the ion translocation process. This voltage is of the same sign and of the same order of magnitude as the equilibrium voltages for the open-close transitions of the gates of sodium and potassium channels, suggesting that all these voltages result from the same membrane asymmetry. A similar analogy was found between the asymmetry of the free energy barrier which best fitted DPA relaxation data and the asymmetrical voltage dependence of the gating of ionic channels. Our data were best fitted by assuming that about 70% of the potential drop occurs between the free energy minimum on the intracellular membrane face and the top of the barrier.     

Measurements of amino acid transport in internally dialyzed giant axons

Summary It is shown that the axoplasmic composition of acidic and neutral amino acids can be controlled effectively by the method of internal dialysis. Direct assay for specific binding and measurement of diffusion coefficients in axoplasm show that there is no significant binding or compartmentalization of amino acids. The dependence of amino acid efflux on substrate concentration can be measured under well-defined, true steady-state conditions. The taurine efflux-concentration relation in theMyxicola giant axon conforms to a second-order Hill equation. This fact is consistent with either a cooperative process or a mechanism in which membrane translocation is not the rate-controlling step. The effluxes of taurine and glycine from squid axon are an order of magnitude smaller than inMyxicola. The efflux-concentration relations are essentially linear up to 200mm substrate concentration. This result may be produced by specific transporters which have very high asymmetry, or by simple diffusive leak in the absence of specific transporters.     

Action of extracellular pH on Na+ and K+ membrane currents in the giant axon ofLoligo Vulgaris

Summary Voltage-clamp currents and resting membrane potential of squid giant axons have been studied at extracellular pH varying between 4 and 10. The membrane currents, analyzed according to the Hodgkin-Huxley equations, showed that sodium permeability,P _Na (E), and potassium conductance,g _K (E), curves were shifted toward positive voltages by different amounts and slightly depressed as the external pH was lowered. Under the same conditions, _m(E) and _n(E) were found to be enhanced and shifted to a larger extent in the same direction. The rate constants _m and _n were shifted substantially toward positive voltages, but _m and _n changed hardly at all. The shift of the _m(E) curve was analyzed in terms of a fixed surface charge model; it indicates that unspecific negative groups with an approximate pK_a of 4.5 are located in the vicinity of sodium active sites with an average charge separation of 8 Å. A similar figure is obtained for the potassium system from the shift of the _n(E) curve.     

Excitability, instability and phase transitions in squid axon membrane under internal perfusion with dilute salt solutions

Using giant axons of squid, Doryteuthis, available in Hokkaido, Japan, it was shown that axons internally perfused with a dilute sodium salt solution undergo an abrupt transition from a resting to a depolarized state on addition of KCl to an external medium containing CaCl₂. Under internal perfusion with a dilute solution of sodium or cesium salt, it was possible to induce abrupt transitions between the two (i.e., resting and depolarized) states of the membrane by changing the temperature. “Giant fluctuations” in the state of the axon membrane were demonstrated at and near the critical points of the axon membrane. These findings are interpreted as supporting the view that an abrupt change in the membrane potential and conductance is an electrochemical manifestation of a phase transition of the membrane macromolecules.     

Flux ratio of valinomycin-mediated K+ fluxes across the human red cell membrane in the presence of the protonophore CCCP

Summary The ratio of valinomycin-mediated unidirectional K⁺ fluxes across the human red cell membrane, has been determined in the presence of the protonophore carbonylcyanidem-chlorophenylhydrazone, CCCP, using the K⁺ net efflux and⁴²K influx. The driving force for the net efflux (V _m –E _K ⁺) has been calculated from the membrane potential, estimated by the CCCP-mediated proton distribution and the Nernst potential for potassium ions across the membrane. An apparent driving potential for the K⁺ net efflux has been calculated from the K⁺ flux ratio, determined in experiments where the valinomycin and CCCP concentrations were varied systematically. This apparent driving force, in conjunction with the actual driving force calculated on basis of the CCCP estimated membrane potential, is used to calculate a flux ratio exponent, which represents an estimate of the deviation of valinomycin-mediated K⁺ transport from unrestricted electrodiffusion, when protonophore is present.In the present work, the flux ratio exponent is found to be 0.90 when the CCCP concentration is 5.0 m and above, while the exponent decreases to about 0.50 when no CCCP is present. The influence of CCCP upon the rate constants in the valinomycin transport cycle is discussed. The significance of this result is that red cell membrane potentials are overestimated, when calculated from valinomycin-mediated potassium isotope fluxes, using a constant field equation.     

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.     

Effects of temperature on microbial ethanol production. III. The influence of the temperature on the relation existing between the specific ethanol formation rate of the yeast Saccharomyces cerevisiae Sc 5 and the ethanol concentration in the culture medium

The ethanol-inhibitory behaviour of the yeast Saccharomyces cerevisiae Sc 5 was found to be characterized by a continual-linear relation between the specific ethanol formation rate and the ethanol concentration. Therefore the simple equation could be applied for it. It is shown that this model is correct only then, if all of the process parameters are in their optimum. Out of the optimum temperature range the characteristics of the function ν = f(P) change in such a way that in regard to the ethanol concentration P twc linear relations exist for each suboptimum temperature: and a non-linear equation is current for each superoptimum temperature: where b_T is also a function of the temperature and always less than 1. Taking as a basis these equations the specific ethanol formation rate of the used strain can be calculated for the whole biokinetic P/T-sphere of ethanol production.     

Local anesthetic action of carboxylic esters: Evidence for the significance of molecular volume and for the number of sites involved

Summary The effects of the homologous series of carboxylic esters, methyl propionate to methyl decanoate, on the steadystate inactivation of the sodium current in squid axons have been studied. The esters moved the relationship between the inactivation parameter,h , and the membrane potential in the hyperpolarizing direction, thus reducing the number of sodium channels available at the resting potential. The concentration dependence of the shift at the mid-point of the curve ofh against potential has been measured for all esters except decanoate, which was almost inactive. Two aspects of these concentration dependences suggest that molecular volume is an important determinant of the effectiveness of each ester. Firstly, there is a sharp decline in activity above methyl hexanoate. This cut-off in activity resembles that for hydrocarbons where it has been suggested [e.g., Haydon, D.A., Urban, B.W. 1983)J. Physiol. (London) 341:411–427] to a result from a decrease in uptake with increasing molecular volume. (Further data for the hydrocarbonsn-butane ton-heptane are reported here.) Secondly, the smallest compounds, methyl propionate and methyl butyrate, are less effective than would be predicted if equal membrane concentrations of each ester produced the same shift. The aqueous concentration dependences for these esters indicate that below methyl hexanoate, as the series is descended, progressively higher membrane concentrations are required to produce a given shift. This would be expected if the volume of ester in the membrane, rather than the number of molecules, is important.Differences between the effects of the ester series on steady-state inactivation and on the reduction of the peak sodium current suggest that, in the unclamped squid axon, excitability is influenced by at least two distinct mechanisms in which at least two sites of action are involved.     

Microtubules inside the plasma membrane of squid giant axons and their possible physiological function

Summary The effects of application of the microtubule-disassembling reagents to squid giant axons upon resting potential, the height of the propagated action potential, and the threshold to evoke action potential were studied using colchicine, podophyllotoxin, vinblastine, griseofulvin, sulfhydryl reagents including NEM, diamide, DTNB and PCMB, and Ca²⁺ ions. At the same time, the effects of concentrations of K halides and K glutamate on the above physiological properties were studied in comparison within vitro characteristics of microtubule assembly from purified axoplasmic tubulin.It was found that there was good correlation between conditions supporting maintenance of membrane excitability and microtubule assembly. The experiments suggest that associated with the internal surface of the plasma membrane there are microtubules which regulate in part both resting and action potentials.     

Anomalous influence of reduced internal ATP levels on sodium efflux inMyxicola giant axons

Summary Giant axons from the marine annelid,Myxicola infundibulum, were internally dialyzed with ATP-free media and with media with lower than normal ATP levels in an attempt to determine quantitatively the ATP requirement of the Na pump in these cells. This was accomplished by using²²Na ions to measure Na efflux. When [ATP] _i in dialysis fluid fell to values within the range of 20–40 m, a marked stimulation of Na efflux was observed even though an essentially normal ouabain sensitivity of Na efflux persisted; when axons were dialyzed with ATP-free solutions with ouabain present in the external medium throughout the dialysis period, the stimulation of Na efflux still occurred. The stimulation of Na efflux produced by low [ATP] _i levels could be reversed by reintroducing normal ATP levels into the dialysis medium. Reversibility was complete provided axons were not depleted of ATP for periods longer than about 1 hr. Longer periods of ATP depletion led to larger and ultimately irreversible increases in Na efflux. The increases in Na efflux occasioned by ATP depletion either prevented or obscured the decrease in Na efflux expected to occur from unfueling the Na pump. Since [ATP] _i levels required to significantly unfuel the Na pump lie below the levels at which the Na efflux stimulation occurred, it is problematic to quantitatively assess the influence of [ATP] _i levels on Na pump rate by measurements of Na efflux in this preparation. Substitutes for ATP failed to prevent increases in Na efflux. The large increases in Na efflux observed at low [ATP] _i occurred with no important changes in the resting membrane potential, and also occurred in Na-free and Ca-free external media. At least part of the increased Na efflux under these conditions may be due to a Na/Na exchange component, as a significant dependence of Na efflux on [Na] _o appropriate for this kind of exchange was observed in the ATP-depleted axons. Whether the highly reproducible anomalous effect on Na efflux inMyxicola axons has some fundamental significance in its own right is a matter for future investigation. A few possible explanations of the anomalous effect of reduced ATP levels are discussed.     

Some observations on the fine structure of the giant synapse in the stellate ganglk of the squid,Doryteuphis bleekeri

Summary The fine structure of the synapse between the second-order giant fibre and the third order-giant fibre of the squid Doryteuphis bleekeri was studied by means of electron microscope. In the synaptic region, the two giant fibres are arranged side by side. Many small processes from the third-order giant fibre penetrate the common sheath which separats the adjacent giant axons making synaptic contact with the second order giant axon.The contact surface consists of opposing two plasma membranes of adjacent axons separated by a narrow space of 20–30 m in width. The synaptic membranes are more electron dense and thicker than the other part of the axon membrane. The synaptic vesicles are concentrated exclusively in the presynaptic axon.The fine structural differences between giant synapse in the stellate ganglion of the squid and the giant-to-motor giant synapse of the crayfish were discussed.This work was supported by Grant Number B-3348 from the National Institutes of Health, United States Public Health Service, Department of Health, Education and Welfare.     

Chloride conductance of the Amphiuma red cell membrane

Summary Like most other red cells, the giant erythrocytes ofAmphiuma means possess a system for rapid exchange of chloride across the membrane. Also, there are indications that the net transport of chloride in these cells is slow. The size ofAmphiuma erythrocytes allows direct measurements of membrane potential with microelectrodes. The present work exploits the possibility that such measurements can be used to give a quantitative estimate of the chloride conductance (G _Cl) of the Amphiuma red cell membrane. The membrane potential was measured as a function of extracellular chloride concentration (5–120mM), using an impermeant anion (Para-amino-hippurate) as a substitute. Furthermore, the effect of different pH values (6.0–7.2) was studied. For each extracellular chloride concentration the membrane potential was determined at a pH at which hydroxyl, hydrogen, and bicarbonate ions were in electrochemical equilibrium. From these membrane potentials and the corresponding chloride concentrations in the medium (at constant intracellular ion concentrations), theG _Cl of the membrane was calculated to be 3.9×10^–7 {ie27-1} cm^–2. This value is some six orders of magnitude smaller than that calculated from the rate of tracer exchange under equilibrium conditions. The experimental strategy used gives the value for a partial transference number which takes into account only ions which arenot in electrochemical equilibrium. Whereas this approach gives a value forG _Cl, it does not permit calculation of the overall membrane conductance. From the calculated value ofG _Cl it is possible to estimate that the maximal value of the combined conductances of hydroxyl (or proton) and bicarbonate ions is 0.6×10^–7 {ie27-2} cm^–2. The large discrepancy between the rate of exchange of chloride and its conductance is in agreement with measurements on human and sheep red cells employing the ionophore valinomycin to increase the potassium conductance of the membrane. The results in the present study were, however, obtained without valinomycin and an accompanying assumption of a constant field in the membrane. Therefore, the present measurements give independent support to the above mentioned conclusions.     

Molecular motion underlying activation and inactivation of sodium channels in squid giant axons

Summary Measurements of the changes in birefringence associated with changes in membrane potential were made with internally perfused squid giant axons in low sodium solutions at 0–8°C. The time course of the birefringence changes share many properties of the gating (polarization) currents previously studied in this nerve. Both can be demonstrated as an asymmetry in the response to voltage pulses symmetrical about the resting potential which is not present about a hyperpolarized holding potential. Both have a rapid relaxation, which precedes the sodium permeability change. Both exhibit an initial delay or rising phase. Both are reversibly blocked by perfusion with 30mm colchicine; neither are altered by changes on sodium concentrations or 300nm tetrodotoxin. The birefringence response has a decrease in the amplitude of the rapid relaxation associated with the appearance of a slow relaxation. This is similar to the immobilization of fast gating charges which parallels sodium current inactivation.The amplitude of the birefringence and the gating current responses is consistent with a change in the alignment of several hundred peptide bonds per sodium channel.     

Potassium accumulation in growing Methanobacterium thermoautotrophicum and its relation to the electrochemical proton gradient

Cultures of Methanobacterium thermoautotrophicum (Marburg) growing on media low in potassium accumulated the cation up to a maximal concentration gradient ([K⁺]_{intracellular}/[K⁺]_{extracellular}) of approximately 50,000-fold. Under these conditions, the membrane potential was determined by measuring the equilibrium distribution of the lipophilic cation (¹⁴C) tetraphenylphosphonium (TPP⁺). This cation was accumulated by the cells 350-to 1,000-fold corresponding to a membrane potential (inside negative) of 170–200 mV. The pH gradient, as measured by equilibrium distribution of the weak acid, benzoic acid, was found to be lower than 0.1 pH units (extracellular pH=6.8). The addition of valinomycin (0.5–1 nmol/mg cells) to the culture reduced the maximal concentration gradient of potassium from 50,000-to approximately 500-fold, without changing the membrane potential. After dissipation of the membrane potential by the addition of ¹²C-TTP⁺ (2 mol/mg cells) or tetrachlorosalicylanilide (3 nmol/mg cells), a rapid and complete efflux of potassium was observed.These data indicate that potassium accumulation in the absence of valinomycin is not in equilibrium with the membrane potential. It is concluded that at low extracellular K⁺ concentrations potassium is not accumulated by M. thermoautotrophicum via an electrogenic uniport mechanism.Non-common abbreviations TPP⁺ Tetra phenylphosphonium bromide - DTE Dithioerythritol - TCS 3,5,3,4-Tetrachlorosalycylanilide