Contribution of sodium pump to resting potential of squid giant axon

The Na+,K+-ATPase and its stoichiometric ratio: some thermodynamic speculations

 Almost seventy years after its discovery, the sodium-potassium adenosine triphosphatase (the sodium pump) located in the cell plasma membrane remains a source of novel mechanistic and physiologic findings. A noteworthy feature of this enzyme/transporter is its robust stoichiometric ratio under physiological conditions: it sequentially counter-transports three sodium ions and two potassium ions against their electrochemical potential gradients per each hydrolyzed ATP molecule. Here we summarize some present knowledge about the sodium pump and its physiological roles, and speculate whether energetic constraints may have played a role in the evolutionary selection of its characteristic stoichiometric ratio.

The causal theory of the resting potential of cells

In this pedagogical article the causal theory of the resting potential of cells is presented, which for given extracellular ion concentrations predicts the intracellular ones simultaneously with the resting potential. In addition to the Na, K-pump, fixed charges on the membrane surfaces are taken into account. The equation determining the resting potential in the causal theory suggests a new explanation of the genesis of the resting potential. The usual criterion for an ion pump to be electrogenic is not relevant for the whole of the resting potential, and may therefore be misleading. The physical meaning of the Goldman-Hodgkin-Katz formula for the membrane potential as a diffusion potential is also explained and tested with numbers for the giant axon of the squid. A significant discrepancy between theory and experiment is found which calls for an experimental re-examination of the constitutive equations for passive potassium and sodium currents.

Axonal excitability revisited

The original papers of Hodgkin and Huxley (J. Physiol. 116 (1952a) 449, J. Physiol. 116 (1952b) 473, J. Physiol. 116 (1952c) 497, J. Physiol. 117 (1952d) 500) have provided a benchmark in our understanding of cellular excitability. Not surprisingly, their model of the membrane action potential (AP) requires revisions even for the squid giant axon, the preparation for which it was originally formulated. The mechanisms they proposed for the voltage-gated potassium and sodium ion currents, IK, and INa, respectively, have been superceded by more recent formulations that more accurately describe voltage-clamp measurements of these components. Moreover, the current-voltage relation for IK has a non-linear dependence upon driving force that is well described by the Goldman-Hodgkin-Katz (GHK) relation, rather than the linear dependence on driving force found by Hodgkin and Huxley. Furthermore, accumulation of potassium ions in the extracellular space adjacent to the axolemma appears to be significant even during a single AP. This paper describes the influence of these various modifications in their model on the mathematically reconstructed AP. The GHK and K+ accumulation results alter the shape of the AP, whereas the modifications in IK and INa gating have surprisingly little effect. Perhaps the most significant change in their model concerns the amplitude of INa, which they appear to have overestimated by a factor of two. This modification together with the GHK and the K+ accumulation results largely remove the discrepancies between membrane excitability of the squid giant axon and the Hodgkin and Huxley (J. Physiol. 117 (1952d) 500) model previously described (Clay, J. Neurophysiol. 80 (1998) 903).

Modeling cell volume regulation in nonexcitable cells: the roles of the Na+ pump and of cotransport systems

The purpose of this study is to contribute to understanding the role of Na+-K+-ATPase and of ionic cotransporters in the regulation of cell volume, by employing a model that describes the rates of change of the intracellular concentrations of Na+, K+, and Cl-, of the cell volume, and of the membrane potential. In most previous models of dynamic cellular phenomena, Na+-K+-ATPase is incorporated via phenomenological formulations; the enzyme is incorporated here via an explicit kinetic scheme. Another feature of the present model is the capability to perform short-term cell volume regulation mediated by cotransporters of KCl and NaCl. The model is employed to perform numerical simulations for a "typical" nonpolarized animal cell. Basically, the results are consistent with the view that the Na+ pump mainly plays a long-term role in the maintenance of the electrochemical gradients of Na+ and K+ and that short-term cell volume regulation is achieved via passive transport, exemplified in this case by the cotransport of KCl and NaCl.

Specific blockage of squid axon resting potassium permeability by Haliclona viridis (Porifera: Haliclonidae) toxin (HvTX)

The action of partially purified HvTX, toxin of the marine sponge H. viridis, was explored on the giant axon of the tropical squids Doryteuthis plei and Sepioteuthis sepioidea. HvTX depolarizes the nerves dose dependently. The effect occurs after blocking sodium channels with tetrodoxin (1 microM), removing external Na+, blocking electrically excitable K+ channels with 3,4-diaminopyridine (10 mM) or internal and external application of tetraethylammonium (40 mM). Ouabain (up to 10 mM) does not modify HvTX effect. The action of HvTX occurs only when it is applied to the outer phase of the nerve membrane; microinjection of the toxin into the axons lacks depolarizing effects. HvTX reduces the dependence of membrane potential on external potassium concentration. The apparent 86Rb+ permeability (pi') was measured in axons of S. sepioidea. The value of pi' in normal artificial sea water was 80 (61,96) nm/sec (median and its 95% confidence interval, n = 8) and raised to 1030 (588, 2113) nm/sec (n = 7) when the axons were depolarized to 0 mV raising external K+ to 300 mM. In axons depolarized with HvTX (10 mM external K+) to 0 mV, pi' was 88 (55, 97) nm/sec (n = 8). HvTX could not prevent (P >> 0.05) the increase in pi' induced by 300 mM K+ when the ion concentration was raised before toxin application [pi' = 660 (354, 1876) nm/sec, n = 7]. Most of the 86Rb+ permeability increase in high K+ was prevented if HvTX was added before external K+ was raised [pi' = 298 (264, 337) nm/sec, n = 8]. All the measures of pi' were carried out in solutions containing 1 microM tetrodotoxin, 1 mM 3,4-diaminopyridine and 2 mM ouabain.

Measurement of bile acid synthesis in man by release of 14CO2 from [26-14C]cholesterol: comparison to isotope dilution and assessment of optimum cholesterol specific activity

Bile acid synthesis can be measured as release of 14CO2 from [26-14C]cholesterol divided by cholesterol specific activity, but this method has not been validated in human subjects. We made twelve comparisons of this CO2 method to standard isotope dilution in six normal subjects and found a mean discrepancy of 6%. Linear regression analysis of one value with respect to the other revealed a correlation coefficient of 0.83 (P less than 0.01), a Y-intercept close to zero (-4.98) and a slope close to 1 (1.06), suggesting good correspondence between the two methods. To assess the potential for error arising from use of serum cholesterol to estimate specific activity of cholesterol used for bile acid synthesis, we compared synthesis measured using serum free cholesterol specific activity to that measured using bile cholesterol specific activity, which is known to be near isotopic equilibrium with the precursor pool used for bile acid synthesis. Synthesis calculated in these two ways differed by less than 10%. The data indicate that the CO2 method using either serum or bile cholesterol specific activity provides a valid estimate of bile acid synthesis in man.

Regulation of bile acid synthesis in humans: effect of treatment with bile acids, cholestyramine or simvastatin on cholesterol 7 alpha-hydroxylation rates in vivo

The rates of cholesterol 7 alpha-hydroxylation (the first and rate-limiting step of bile acid synthesis from cholesterol) were evaluated in vivo in patients administered bile acids with different structural properties, cholestyramine or simvastatin, a competitive inhibitor of 3-hydroxy-3-methylglutaryl-coenzyme A reductase. Twenty-three subjects, with normal hepatic and intestinal functions, were studied in basal conditions and after one of the following treatment schedules, lasting 4 to 6 weeks: cholestyramine, 4 and 12 gm/day (four patients); ursodeoxycholic acid, 9 to 11 mg/kg/day (four patients); chenodeoxycholic acid, 12 to 15 mg/kg/day (five patients); deoxycholic acid, 8 to 10 mg/kg/day (four patients); and simvastatin, 40 mg/day (six patients). 7 alpha-Hydroxylation of cholesterol was assayed by measuring the increase in body water tritium after intravenous bolus of cholesterol tritiated at the 7 alpha position. Plasma bile acid composition, evaluated by gas-liquid chromatography, revealed a substantial enrichment of the recirculating pool by the administered bile acid, whereas treatment with cholestyramine decreased the content of dihydroxylated bile acids. Cholesterol 7 alpha-hydroxylation increased in a dose-related manner after cholestyramine, in parallel with a decrease of cholesterol in total plasma and low-density lipoproteins (1.006 to 1.063 gm/ml). Hydroxylation rates decreased by an average of 47% with chenodeoxycholic acid and by an average of 78% with deoxycholic acid; ursodeoxycholic acid treatment did not affect 7 alpha-hydroxylation significantly. Simvastatin markedly reduced plasma total and low-density lipoprotein-cholesterol but exerted no change on 7 alpha-hydroxylation rates.(ABSTRACT TRUNCATED AT 250 WORDS)

Effect of extracellular potassium on ouabain-sensitive consumption of high-energy phosphate by crayfish giant axons: a study of the energy requirement for transport in the steady state

Crayfish axons exposed to a high or low extracellular K+ concentration ([K+]o) maintain intracellular Na+ and K+ concentrations constant, for up to 3 h, by adjusting both the Na+/K+ transport "coupling ratio" and turnover rate in compensation for changes in ion fluxes due to altered electrochemical gradients. These findings give rise to the prediction that the steady-state consumption of high-energy phosphate (approximately P) [ATP and phospho-L-arginine (Arg-P)] is inversely proportional to the [K+]o, i.e., directly proportional to the product of membrane conductance and magnitude of the transmembrane electrochemical gradients for Na+ and K+. This investigation was designed to test this hypothesis. The [K+]o did not influence total approximately P consumption (Q approximately P) of the axon. For a [K+]o between 0.5 and 21.6 mM, Q approximately P averaged 52.8 +/- 4.7%/h (n = 44) of the initial [ATP] + [Arg-P]. Unlike total Q approximately P, the ouabain-sensitive portion of Q approximately P was markedly influenced by [K+]o. In 0.5 mM K+o, ouabain poisoning reduced Q approximately P to 8%/h, a result indicating that 85% of the total Q approximately P was ouabain sensitive. For 1.35 mM K+o, the ouabain-sensitive portion was 66%; at 5.4 mM K+o, 45%; and at 13.5 mM K+o, 41%. There was a small but significant increase in the ouabain-sensitive Q approximately P at 21.6 mM K+o, compared with Q approximately P at 5.4 mM K+o. The pattern of effect of [K+]o on Q approximately P was similar to its effect on the electrical power content of the Na+ and K+ electrochemical gradients. In contrast to the generally accepted Na+ flux (JNa)/approximately P stoichiometry of 3, an actual ratio of JNa/approximately P stoichiometry of approximately 33:1 was calculated for the experiments reported here, a result suggesting that cells in a zero-membrane current steady state utilize efficient energy conservation mechanisms that may not operate under non-steady-state conditions.

Stoichiometry and voltage dependence of the sodium pump in voltage-clamped, internally dialyzed squid giant axon

The stoichiometry and voltage dependence of the Na/K pump were studied in internally dialyzed, voltage-clamped squid giant axons by simultaneously measuring, at various membrane potentials, the changes in Na efflux (delta phi Na) and holding current (delta I) induced by dihydrodigitoxigenin (H2DTG). H2DTG stops the Na/K pump without directly affecting other current pathways: (a) it causes no delta I when the pump lacks Na, K, Mg, or ATP, and (b) ouabain causes no delta I or delta phi Na in the presence of saturating H2DTG. External K (Ko) activates Na efflux with Michaelis-Menten kinetics (Km = 0.45 +/- 0.06 mM [SEM]) in Na-free seawater (SW), but with sigmoid kinetics in approximately 400 mM Na SW (Hill coefficient = 1.53 +/- 0.08, K1/2 = 3.92 +/- 0.29 mM). H2DTG inhibits less strongly (Ki = 6.1 +/- 0.3 microM) in 1 or 10 mM K Na-free SW than in 10 mM K, 390 mM Na SW (1.8 +/- 0.2 microM). Dialysis with 5 mM each ATP, phosphoenolpyruvate, and phosphoarginine reduced Na/Na exchange to at most 2% of the H2DTG-sensitive Na efflux. H2DTG sensitive but nonpump current caused by periaxonal K accumulation upon stopping the pump, was minimized by the K channel blockers 3,4-diaminopyridine (1 mM), tetraethylammonium (approximately 200 mM), and phenylpropyltriethylammonium (20-25 mM) whose adequacy was tested by varying [K]o (0-10 mM) with H2DTG present. Two ancillary clamp circuits suppressed stray current from the axon ends. Current and flux measured from the center pool derive from the same membrane area since, over the voltage range -60 to +20 mV, tetrodotoxin-sensitive current and Na efflux into Na-free SW, under K-free conditions, were equal. The stoichiometry and voltage dependence of pump Na/K exchange were examined at near-saturating [ATP], [K]o and [Na]i in both Na-free and 390 mM Na SW. The H2DTG-sensitive F delta phi Na/delta I ratio (F is Faraday's constant) of paired measurements corrected for membrane area match, was 2.86 +/- 0.09 (n = 8) at 0 mV and 3.05 +/- 0.13 (n = 6) at -60 to -90 mV in Na-free SW, and 2.72 +/- 0.09 (n = 7) at 0 mV and 2.91 +/- 0.21 (n = 4) at -60 mV in 390 mM Na SW. Its overall mean value was 2.87 +/- 0.07 (n = 25), which was not significantly different from the 3.0 expected of a 3 Na/2 K pump.(ABSTRACT TRUNCATED AT 400 WORDS)

Kinetic model of the effects of electrogenic enzymes on the membrane potential

Electrogenic enzymes contribute to the electrical field existing across biological membranes by using a source of free energy to generate an ionic current. The model introduced here permits one to evaluate this contribution. Since the model incorporates the electrogenic enzyme in the form of a sequential kinetic diagram, it permits one to study the kinetic effects of the concentration of the enzyme, the substrates and the different ligands on the membrane potential. Ionic electrodiffusion is expressed in terms of a chemical reaction; ionic permeabilities are thus treated as voltage-dependent rate constants. We use the condition of global electroneutrality to obtain an expression for the electrical potential difference across the membrane; such expression constitutes an extension of the Goldman-Hodgkin-Katz equation. The enzyme-related terms appear in the equation as functions of the rate constants and the diverse concentrations. The model is used to analyze the case of a cell membrane traversed by Na+ and K+ by simple diffusion, and by electrogenic transport mediated by a Na+-K+ ATPase. The enzyme reaction is represented by the six-step scheme proposed by Chapman et al. (1983, J. membr. Biol. 74, 139-153). The main results of the numerical calculations are that, within a certain interval, the membrane potential difference depends linearly on the enzyme density and hyperbolically on the ATP concentration. A similar behavior has been experimentally observed for the electrogenic proton pump of Neurospora crassa. Thus, the model here can be useful in the explanation and prediction of effects of electrogenic enzymes on the membrane potential.

Effects of bile acid administration on bile acid synthesis and its circadian rhythm in man

In man bile acid synthesis has a distinct circadian rhythm but the relationship of this rhythm to feedback inhibition by bile acid is unknown. We measured bile acid synthesis as release of 14CO2 from [26-14C]cholesterol every 2 hr in three normal volunteers during five separate 24-hr periods. Data were fitted by computer to a cosine curve to estimate amplitude and acrophase of the circadian rhythm. In an additional six volunteers, we measured synthesis every 2 hr from 8:00 a.m. to 4:00 p.m. only. During the control period, amplitude (expressed as percentage of mean synthesis) averaged 52% and acrophase averaged 6:49 a.m. During administration of ursodeoxycholic acid (15 mg per kg per day), synthesis averaged 126% of baseline (p less than 0.1), amplitude averaged 43% and acrophase averaged 6:20 a.m. During administration of chenodeoxycholic acid (15 mg per kg per day), synthesis averaged 43% of baseline (p less than 0.001), amplitude averaged 53% and acrophase averaged 9:04 a.m. Addition of prednisone to this regimen of chenodeoxycholic acid to eliminate release of 14CO2 from corticosteroid hormone synthesis resulted in a mean amplitude of 62% and a mean acrophase of 6:50 a.m., values very similar to those in the baseline period. Administration of prednisone alone also did not significantly alter the baseline amplitude (40%) or acrophase (6:28 a.m.). We conclude that neither chenodeoxycholic acid nor ursodeoxycholic acid significantly alters the circadian rhythm of bile acid synthesis in man.(ABSTRACT TRUNCATED AT 250 WORDS)

The neurosecretory effect of ouabain on isolated rabbit ileal mucosa

Ouabain, when added to fluid bathing rabbit ileal mucosa mounted in a flux chamber, transiently increases short circuit current, implying a paradoxical secretory response. To determine the cause of this change, we studied unidirectional fluxes of 36Cl and 23Na and the effects of ion substitution, of reduced Ca concentration, verapamil, tetrodotoxin and atropine. Ouabain 0.1 mM, transiently increased the serosal to mucosal flux of Cl and Na, increased Isc and PD and reduced ion conductance. The Isc response to ouabain was diminished by reducing the bath fluid concentration of Cl, of Ca, and by adding verapamil. Tetrodotoxin both delayed and reduced the maximal Isc response; atropine had no effect. We conclude that ouabain acts by releasing a neurotransmitter of unknown identity and by increasing the serosal to mucosal flux of Cl.

Coupled Na/K/Cl efflux. "Reverse" unidirectional fluxes in squid giant axons

Studies of unidirectional Cl-, Na+, and K+ effluxes were performed on isolated, internally dialyzed squid giant axons. The studies were designed to determine whether the coupled Na/K/Cl co-transporter previously identified as mediating influxes (Russell. 1983. Journal of General Physiology. 81:909-925) could also mediate the reverse fluxes (effluxes). We found that 10 microM bumetanide blocked 7-8 pmol/cm2 X s of Cl- efflux from axons containing ATP, Na+, and K+. However, if any one of these solutes was removed from the internal dialysis fluid, Cl- efflux was reduced by 7-8 pmol/cm2 X s and the remainder was insensitive to bumetanide. About 5 pmol/cm2 X s of Na+ efflux was inhibited by 10 microM bumetanide in the continuous presence of 10(-5) M ouabain and 10(-7) M tetrodotoxin if Cl-, K+, and ATP were all present in the internal dialysis fluid. However, the omission of Cl- or K+ or ATP reduced the Na+ efflux, leaving it bumetanide insensitive. K+ efflux had to be studied under voltage-clamp conditions with the membrane potential held at -90 mV because the dominant pathway for K+ efflux (the delayed rectifier) has a high degree of voltage sensitivity. Under this voltage-clamped condition, 1.8 pmol/cm2 X s of K+ efflux could be inhibited by 10 microM bumetanide. All of these results are consistent with a tightly coupled Na/K/Cl co-transporting efflux mechanism. Furthermore, the requirements for cis-side co-ions and intracellular ATP are exactly like those previously described for the coupled Na/K/Cl influx process. We propose that the same transporter mediates both influx and efflux, hence demonstrating "reversibility," a necessary property for an ion-gradient-driven transport process.

Basolateral membrane potassium conductance is independent of sodium pump activity and membrane voltage in canine tracheal epithelium

When secretagogues stimulate Cl secretion in canine tracheal epithelium, apical membrane Cl conductance (GCla) increases, and then basolateral membrane K conductance (GKb) increases. Conversely, inhibition of GCla results in a secondary decrease in GKb. The coordination of the two membrane conductances and regulation of GKb is critical for maintaining constant intracellular ion concentrations and transepithelial Cl secretion. The purpose of this study was to test two hypotheses about the regulation of GKb. First, we asked whether GKb is directly linked to the activity of the Na,K-ATPase. We found that pump activity could be dissociated from K conductance. Inhibition of the Na pump with ouabain, in nonsecreting tissues led to an increase in Gb. Elevation of the bathing solution K concentration produced a similar effect. Addition of ouabain to secreting tissues did not appear to alter Gb. These results indicate that GKb does not directly parallel Na pump activity. Second, we asked whether changes in GKb are voltage dependent. We prevented secretagogue-induced depolarization of the electrical potential difference across the basolateral membrane psi b by clamping psi b at its resting value during stimulation of Cl secretion with epinephrine. Despite maintaining psi b constant, the typical changes in transepithelial resistance and the ratio of membrane resistances persisted. This observation indicates that depolarization is not required for the secretagogue-induced increase in GKb. In addition we examined the effect of depolarizing and hyperpolarizing psi b by passing transepithelial current in secreting and nonsecreting epithelia.(ABSTRACT TRUNCATED AT 250 WORDS)

Current generated by backward-running electrogenic Na pump in squid giant axons

The sodium pump of animal cells is electrogenic, that is, it normally exports more sodium ions than it imports potassium ions. In the squid giant axon, the resulting net outward electric current has a density of a few microA cm-2, and contributes 1-2 mV to the resting membrane potential. The pump is driven by the free energy of hydrolysis of ATP, and in some instances it has been possible to run the pump backwards and synthesize ATP by lowering the [ATP]/[ADP] X [Pi] ratio and steepening the transmembrane Na+ and K+ gradients. Here we have examined the question of whether a backward-running sodium pump conserves its Na+/K+ greater than 1 stoichiometry. We demonstrate reversal of the sodium pump of squid giant axon, and find that backward pumping indeed produces a net inward electric current. This current is voltage-sensitive. Our observations have mechanistic implications for models of the sodium pump.

Effect of CO2 on neurons of the house cricket, Acheta domestica

The effect of elevated levels of CO2 on the neurons of the metathoracic ganglion of the common house cricket was examined. Elevated CO2 produced a profound depolarization of the neurons without a substantial change in conductance. The depolarization was not due to CO2 acidification of the external solution since exposure of the neurons to a solution which was nominally CO2 free, but at an acid pH, produced little effect. The effect of elevated CO2 appeared to be due to intracellular acidification, since other treatments which acidified the cell interior also produced depolarization. Agents which block intracellular pH regulation also substantially enhance the effect and prevent recovery. The mechanism producing the depolarization appears to be blockage of a metabolic component of the resting potential, since the action of metabolic blockers mimics the effect of elevated CO2.

The dependence of sodium pumping and tension on intracellular sodium activity in voltage-clamped sheep Purkinje fibres

1. Intracellular Na activity (aiNa) was measured in sheep cardiac Purkinje fibres using a recessed-tip Na+-sensitive micro-electrode. The membrane potentials was controlled with a two-micro-electrode voltage clamp. Tension was measured simultaneously. 2. Removing external K produced a rise of aiNa and both twitch and tonic tension. On adding 4-10 mM-[Rb]0 to reactivate the Na-K pump aiNa and tension declined. An electrogenic Na pump current transient accompanied the fall of aiNa. 3. The half-time of decay of the electrogenic Na pump current transient was similar to that of aiNa, (mean tNa0.5/tI0.5 = 0.97 +/- 0.03 (S.E.M.; n = 28)). Following the re-activation of the Na-K pump, the electrogenic Na pump current transient was linearly related to aiNa. 4. The duration of exposure to K-free, Rb-free solutions was varied to change the level of aiNa. On subsequently re-activating the Na-K pump with 10 mM-[Rb]0, the ratio of the charge extruded to the total change of aiNa was constant. It is concluded that the fraction of Na extruded electrogenically is unaffected by changes of aiNa. About 26% of the total Na extrusion appeared as charge transfer. 5. The relationship between tonic tension and aiNa was usually different during Na-K pump inhibition in a K-free, Rb-free solution compared with the relationship during Na-K pump re-activation. In general, a given aiNa was associated with a greater level of tonic tension during Na-K pump inhibition compared with that during pump re-activation. A similar hysteresis was often seen between twitch tension and aiNa.