Potassium flux ratio in voltage-clamped squid giant axons

The potassium flux ratio across the axolemma of internally perfused, voltage-clamped giant axons of Loligo pealei has been evaluated at various membrane potentials and internal potassium concentrations ([K]i). Four different methods were used: (a) independent measurement of one-way influx and efflux of 42K; (b) simultaneous measurement of net K current (IK) and 42K influx; (c) simultaneous measurement of IK and 42K efflux; and (d) measurement of potassium conductance and 42K influx at the potassium equilibrium potential. The reliability of each of these methods is discussed. The average value of the exponent n' in the Hodgkin-Keynes equation ranged from 1.5 at -4mV and 200 mM [K]i to 3.3 at -38 mV and 350 mM [K]i and appeared to be a function of membrane potential and possibly of [K]i. It is concluded that the potassium channel of squid giant axon is a multi-ion, single-file pore with three or more sites.     

Simultaneous measurement of changes in current and tracer flux in voltage-clamped squid giant axon.

A method is described for the simultaneous measurement of changes in membrane current and unidirectional radiotracer flux in internally dialyzed voltage-clamped squid giant axons. The small currents that are produced by electrogenic transport processes or steady-state ionic currents can be resolved using this method. Because the use of grounded guard electrodes in the end pools is not, by itself, an adequate means of eliminating end-effects, two ancillary end pool clamp circuits are described to eliminate extraneous current flow from the ends of the axon. The end pool voltage-clamp circuits serve to minimize net current flow between the end pools and center pool, and employ stable, low-impedance calomel electrodes to monitor the potentials of the end and center pools. The adequacy of the method is demonstrated by experiments in which unidirectional 22Na efflux and current, flowing through tetrodotoxin (TTX)-sensitive Na channels into Na-free seawater, under K-free conditions, are shown to be equal. The equality of unidirectional TTX-sensitive flux and current is maintained over the entire range of membrane potentials examined (-60 to +20 mV). The method has been applied to a series of experiments in which the voltage dependence and stoichiometry of the Na/K pump have been measured (Rakowski et al., 1989), and can be applied in general to the simultaneous measurement of changes in current and flux of other electrogenic transport processes, and of currents through ionic channels that open under steady-state conditions.     

Sodium fluxes in internally dialyzed squid axons

The effects which alterations in the concentrations of internal sodium and high energy phosphate compounds had on the sodium influx and efflux of internally dialyzed squid axons were examined. Nine naturally occurring high energy phosphate compounds were ineffective in supporting significant sodium extrusion. These compounds were: AcP, PEP, G-3-P, ADP, AMP, GTP, CTP, PA, and UTP.¹ the compound d-ATP supported 25–50% of the normal sodium extrusion, while ATP supported 80–100%. The relation between internal ATP and sodium efflux was nonlinear, rising most steeply in the range 1 to 10 µM and more gradually in the range 10 to 10,000 µM. There was no evidence of saturation of efflux even at internal ATP concentrations of 10,000 µM. The relation between internal sodium and sodium efflux was linear in the range 2 to 240 mM. The presence of external strophanthidin (10 µM) changed the sodium efflux to about 8–12 pmoles/cm² sec regardless of the initial level of efflux; this changed level was not altered by subsequent dialysis with large concentrations of ATP. Sodium influx was reduced about 50 % by removal of either ATP or Na and about 70 % by removing both ATP and Na from inside the axon.     

Analysis of potassium conductance in squid giant axons

Assuming a model of facilitated ionic transport across axonal membranes proposed by McIlroy (1975) and extended by McIlroy and Hahn (1978), it is shown that if the selectivity coefficient, π_K, of the potassium conducting system ?59 the permeabilityP _Ks, of the periaxonal barrier of the squid giant axon for K⁺ ions?(1.2±0.44)×10^?4 cm sec^?1 and the thickness of the periaxonal space ?477±168 Å. Using a value (10^?4 cm sec^?1) ofP _Ks in the foregoing range the experimental curves for the steady state membrane ionic conductance versus measured membrane potential difference (p.d.), ?, of Gilbert and Ehrenstein (1969) are corrected for the effect of accumulation of K⁺ in the periaxonal space. This correction is most marked for the axon immersed in a natural ionic environment, whose conductance curve is shifted ?70mV along the voltage axis in the hyperpolarization direction. By assuming that the physico-chemical connection between a depolarization of the axonal membrane and the consequent membrane conductance changes is a Wien dissociative effect of the membrane's electric field on a weak electrolyte situated in the axolemma, the position of the peaks of the corrected conductance versus ? curves can be identified with zero membrane electric field and hence with zero p.d.across the axolemma. A set of values for the double-layer p.d.s at the axonal membrane interfaces with the external electrolytes in the vicinity of the K⁺ conducting pores can therefore be deduced for the various external electrolytes employed by Gilbert and Ehrenstein. A model of these double-layer p.d.s in which the membrane interfaces are assumed to possess fixed monovalent negatively charged sites, at least in the neighbourhood of the K⁺ conducting pores, is constructed. It is shown that, using the previously deduced values for the doublelayer p.d.s, such a model has a consistent, physically realistic solution for the distance between the fixed charged sites and for the dissociation constants of these sites in their interaction with the ions of the extramembrane electrolytes.     

Sodium efflux in Myxicola giant axons

Several properties of the Na pump in giant axons from the marine annelid Myxicola infundibulum have been determined in an attempt to characterize this preparation for membrane transport studies. Both NaO and KO activated the Na pump of normal microinjected Myxicola axons. In this preparation, the KO activation was less and the NaO activation much greater than that found in the squid giant axon. However, when the intracellular ATP:ADP ratio of the Myxicola axon was elevated by injection of an extraneous phosphagen system, the K sensitivity of Na efflux increased to the magnitude characteristic of squid axons and the activating effect of NaO disappeared. Several axons were injected with Na2SO4 in order to determine the effect of elevated Nai on the Na efflux. Increasing Nai enhanced a component of Na efflux which was insensitive to ouabain and dependent on [Ca] in Na-free (Li) seawater. After subtracting the CaO-dependent fraction, Na efflux was related linearly to [Na]i in all solutions except in K-free (Li) seawater, where it appeared to reach saturation at high [Na]i.     

Sodium extrusion by internally dialyzed squid axons

A method has been developed which allows a length of electrically excitable squid axon to be internally dialyzed against a continuously flowing solution of defined composition. Tests showed that diffusional exchange of small molecules in the axoplasm surrounding the dialysis tube occurred with a half-time of 2–5 min, and that protein does not cross the wall of the dialysis tube. The composition of the dialysis medium was (mM): K isethionate 151, K aspartate 151, taurine 275, MgCI₂ 4–10, NaCl 80, KCN 2, EDTA 0.1, ATP 5–10, and phosphoarginine 0–10. The following measurements were made: resting Na influx 57 pmole/cm²sec (n = 8); resting potassium efflux 59 pmole/ cm²sec (n = 4); stimulated Na efflux 3.1 pmole/cm²imp (n = 9); stimulated K efflux 2.9 pmole/cm²imp (n = 3); resting Na efflux 48 pmole/cm²sec (n = 18); Q ₁₀ Na efflux 2.2 (n = 5). Removal of ATP and phosphoarginine from the dialysis medium (n = 4) or external application of strophanthidin (n = 1) reversibly reduced Na efflux to 10–13 pmole/cm²sec. A general conclusion from the study is that dialyzed squid axons have relatively normal passive permeability properties and that a substantial fraction of the Na efflux is under metabolic control although the Na extrusion mechanism may not be working perfectly.     

Asymmetry currents in intracellularly perfused squid giant axons.

Asymmetry currents were recorded from intracellularly perfused squid axons subjected to exactly equal positive and negative voltage clamp pulses at a temperature close to 0 degrees C. The voltage and time dependence of the asymmetry currents was studied at a holding potential of minus 80 to minus 100 mV. The effect of varying the holding potential was investigated. The latter experiments showed that the voltage dependence of the asymmetrical charge movement is different from the voltage dependence of the m system.     

Temporally coherent organization and instabilities in squid giant axons

Instabilities and dynamic structure of the modified Hodgkin-Huxley equations (Adelman & FitzHugh, 1975) for sensitized axons were studied as a function of the sodium concentration in the external medium surrounding the axon. At the same time electrophysiological activities in squid giant axons were experimentally observed to confirm the results of the numerical calculation. It was found that the resting state of the axon was thermodynamically equivalent to a thermodynamic structure of an asymptotically stable equilibrium point. The state of spontaneous repetitive firing of action potentials corresponds to the dissipative structure with a stable limit cycle. The temporally coherent organization is realized through instability of the equilibrium point.     

Calcium content and net fluxes in squid giant axons

Axons freshly dissected from living specimens of the tropical squid Dorytheutis plei have a calcium content of 68 mumol/kg of axoplasm. Fibers stimulated at 100 impulses/s in 100 mM Ca seawater increase their Ca content by 150 mumol/kg.min; axons placed in 3 Ca (choline) seawater increase their Ca content by 12 mumol/kg.min. Axons loaded with 0.2--1.5 mmol Ca/kg of axoplasm extruded Ca with a half time of 15--30 min when allowed to recover in 3 Ca (Na) seawater. The half time for recovery of loaded axons poisoned with carbonyl cyanide p-trifluoromethoxyphenylhydrazone (FCCP) and iodoacetic acid (IAA) is about the same as control axons. Axons placed in 40 mM Na choline seawater (to reduce chemical gradient for Na) or in 40 mM Na, 410 mM K seawater to reduce the electrochemical gradient for Na to near zero either fail to lose previously loaded Ca or gain further Ca.     

Magnesium content and net fluxes in squid giant axons

The Mg content of axons freshly dissected from living specimens of the tropical squid Doryteuthis plei was determined by atomic absorption spectroscopy to be 4.2 +/- 0.2 mmol/kg axoplasm. The axon's ability to maintain this physiological content of total intracellular Mg([Mg]i) was studied. Mgi was shown to be a linear function of Mgo when Mgo of incubating fluid was varied between 0 and 250 mM. When Mgo = 15 mM, Mgi was found to be the same in incubated fibers as in fibers freshly dissected. Mgi levels were unaffected by depolarization of the membrane by high Ko. Stimulation resulted in an extra influx of Mg of 0.05 pmol/(cm2 . impulse) when Mgo = 55 mM. Mgi was found to be a complicated function of the concentration of extracellular Na or Li (Xo), which was substituted for Tris. With 385 mM Lio the Mgi level was found to be 2.5-fold larger than the level observed with 385 mM Nao after incubation for 3 h. The function relating Mgo to Xo was qualitatively unaffected in axons poisoned with the mitochondrial uncoupler carbonyl cyanide, p-trifluorome-thoxy-phenylhydrazone (FCCP) and the inhibitor of glycolysis, iodoacetic acid (IAA); the absolute levels of Mgi, however, were some 30% higher in the poisoned axons at all [X]o explored. 2 h incubation of axons in a 333 mM Mg, 40 mM Li solution increased Mgi 3.5-fold in control axons and 5-fold in poisoned axons. These Mg-loaded axons were able to recover physiological levels of Mgi with a half-time of 3-5 h only if kept in a solution which contained Na (220 mM) regardless of whether the axons had been inhibited with FCCP + IAA. Therefore, it may be concluded that the physiological Mgi concentration can be maintained by the Na electrochemical gradient, even when the axon is metabolically poisoned.     

Fluorescence signals in ANS-stained squid giant axons during voltage-clamp

Summary An analysis is presented of the changes in fluorescence intensity, associated with nerve stimulation, of 1-anilinonaphthalene-8-sulfonate (ANS) injected in squid axons. A preliminary and qualitative account of the physiological modifications produced by the ANS injection is also given. The time course of the fluorescence intensity during the first 300 sec following the onset of voltage-clamp is shown to be exponential with a time constant of about 35 msec, fairly independent of the amplitude and sign of the applied voltage, the intensity increasing during hyperpolarizations and decreasing during depolarizations. Data are presented on the relationship between the amplitude of the changes in fluorescence intensity and the voltage applied, the amplitude of the changes associated with depolarizations being measured at the time of occurence of the peak inward current. The interpretation of the changes in fluorescence intensity in terms of electrophoretic effects or as being due to a direct effect of the electric field upon the quantum yield of ANS fluorescence, is hardly compatible with the results of our present analysis.     

Inactivation of the Na permeability in squid giant axons

Inactivation of the Na permeability has been studied in intact and perfused squid giant axons with the voltage clamp method. The main results are: 1. Upon depolarization inactivation develops along an exponential time course; the upper limit for an initial delay in the development of inactivation is 50-100 musec. 2. Adding 20-40 mM KCl to K-free external solution accelerates the development of inactivation and slows its removal. 3. Scorpion venoms increase the maintained conductance, i.e. make inactivation less complete; the voltage dependence of the maintained conductance is different from that of the peak conductance.     

ATP-dependent chloride influx into internally dialyzed squid giant axons

Summary Measurements were made of³⁶Cl influx into squid giant axons whose internal solutes were controlled by means of internal dialysis. When the intracellular chloride concentration was 50mm and the internal concentration of adenosine 5-triphosphate (ATP) was 4mm, the average chloride influx was 11.6 pmoles/cm²×sec. When the axons were dialyzed with an ATP-free solution, the average influx fell to 5.1 pmoles/cm²×sec. The effect was fully reversible upon the return of ATP to the dialysis fluid. Chloride-36 influx in the presence and absence of ATP was found to be inversely related to the internal chloride concentration.     

Effects of N-alcohols on potassium conductance in squid giant axons

The effect of bath application of several short chain N-alcohols on voltage-dependent potassium conductance has been studied in intact giant axons of Loligo forbesi under voltage-clamp conditions. All tested alcohols (methanol, ethanol, propanol, butanol, heptanol and octanol) were found to depress potassium conductance only at concentrations much larger than those necessary to reduce sodium conductance. The efficacy of the different molecules was correlated with the carbon-chain length. In all cases the effects were found to be at least partly reversible. Low concentrations of propanol (100 mM) or heptanol (1 mM) were found to increase potassium conductance whereas higher concentrations had the usual depressing effect. The two alcohols were found to induce a slow inactivation of the potassium conductance. A detailed analysis of the time course of the turning-on of the potassium current for various pulse potentials in the presence of TTX revealed that, for membrane potential values more positive than -20 mV, the time constant of activation was reduced in the presence of propanol or heptanol. The delay which separates the change in potential and the turning-on of the potassium current, which was systematically analysed for different pulse and prepulse potential values, was increased by the two alcohols, the curve relating this delay to prepulse potential being shifted towards larger (positive) delays. This high degree of complexity in the effects on potassium conductance suggests that the alcohol molecules modify several more or less independent mechanisms associated with the turning-on of the potassium current.     

n-Alkanols potentiate sodium channel inactivation in squid giant axons.

The effects of n-octanol and n-decanol on nerve membrane sodium channels were examined in internally perfused, voltage-clamped squid giant axons. Both n-octanol and n-decanol almost completely eliminated the residual sodium conductance at the end of 8-ms voltage steps. In contrast, peak sodium conductance was only partially reduced. This block of peak and residual sodium conductance was very reversible and seen with both internal and external alkanol application. The differential sensitivity of peak and residual conductance to alkanol treatment was eliminated after internal pronase treatment, suggesting that n-octanol and n-decanol enhance the normal inactivation mechanism rather than directly blocking channels in a time-dependent manner.     

Localization of voltage-gated K(+) channels in squid giant axons

We have localized the classical voltage-gated K(+) channel within squid giant axons by immunocytochemistry using the Kv1 antibody of Rosenthal et al. (1996). Widely dispersed patches of intense immunofluorescence were observed in the axonal membrane. Punctate immunofluorescence was also observed in the axoplasm and was localized to approximately 25-50-microm-wide column down the length of the nerve (axon diameter approximately 500 microm). Immunoelectronmicroscopy of the axoplasm revealed a K(+) channel containing vesicles, 30-50 nm in diameter, within this column. These and other vesicles of similar size were isolated from axoplasm using a novel combination of high-speed ultracentrifugation and controlled-pore size, glass bead separation column techniques. Approximately 1% of all isolated vesicles were labeled by K(+) channel immunogold reacted antibody. Incorporation of isolated vesicle fractions within an artificial lipid bilayer revealed K(+) channel electrical activity similar to that recorded directly from the axonal membrane by Llano et al. (1988). These K(+) channel-containing vesicles may be involved in cycling of K(+) channel protein into the axonal membrane. We have also isolated an axoplasmic fraction containing approximately 150-nm-diameter vesicles that may transport K(+) channels back to the cell body.     

Comparison of tetrodotoxin and procaine in internally perfused squid giant axons

Squid giant axons were internally perfused with tetrodotoxin and procaine, and excitability and electrical properties were studied by means of current-clamp and sucrose-gap voltage-clamp methods. Internally perfused tetrodotoxin was virtually without effect on the resting potential, the action potential, the early transient membrane ionic current, and the late steady-state membrane ionic current even at very high concentrations (1,000–10,000 nM) for a long period of time (up to 36 min). Externally applied tetrodotoxin at a concentration of 100 nM blocked the action potential and the early transient current in 2–3 min. Internally perfused procaine at concentrations of 1–10 mM reversibly depressed or blocked the action potential with an accompanying hyperpolarization of 2–4 mv, and inhibited both the early transient and late steady-state currents to the same extent. The time to peak early transient current was increased. The present results and the insolubility of tetrodotoxin in lipids have led to the conclusion that the gate controlling the flow of sodium ions through channels is located on the outer surface of the nerve membrane.