An Analysis of the Leakages of Sodium Ions into and Potassium Ions out of Striated Muscle Cells

Net sodium influx under K-free conditions was independent of the intracellular sodium ion concentration, [Na]_i, and was increased by ouabain. Unidirectional sodium influx was the sum of a component independent of [Na]_i and a component that increased linearly with increasing [Na]_i. Net influx of sodium ions in K-free solutions varied with the external sodium ion concentration, [Na]_o, and a steady-state balance of the sodium ion fluxes occurred at [Na]_o = 40 mM. When solutions were K-free and contained 10^-4 M ouabain, net sodium influx varied linearly with [Na]_o and a steady state for the intracellular sodium was observed at [Na]_o = 13 mM. The steady state observed in the presence of ouabain was the result of a pump-leak balance as the external sodium ion concentration with which the muscle sodium would be in equilibrium, under these conditions, was 0.11 mM. The rate constant for total potassium loss to K-free Ringer solution was independent of [Na]_i but dependent on [Na]_o. Replacing external NaCl with MgCl₂ brought about reductions in net potassium efflux. Ouabain was without effect on net potassium efflux in K-free Ringer solution with [Na]_o = 120 mM, but increased potassium efflux in a medium with NaCl replaced by MgCl₂. When muscles were enriched with sodium ions, potassium efflux into K-free, Mg⁺⁺-substituted Ringer solution fell to around 0.1 pmol/cm²·s and was increased 14-fold by addition of ouabain.     

Interaction of External K, Na, and Cardioactive Steroids with the Na-K Pump of the Human Red Blood Cell

The interaction of extracellular Na (Na_o), K (K_o), and strophanthidin with the Na-K pump of the human red blood cell has been investigated. Inhibition by submaximal concentrations of strophanthidin rapidly reaches a level which does not increase further over a relatively long period of time. Under these circumstances, it is possible to apply a steady-state kinetic analysis to the interaction of Na_o, K_o, and strophanthidin with the pump. In Na-free solutions, strophanthidin increases the apparent K_1/2 of the pump for K_o, but does not change the form of the relation between the reciprocal of the active K influx (ⁱM_K^P–1) and the reciprocal of [K_o] ([K_o]^–1); the relation both in the presence and absence of strophanthidin is adequately described by a straight line. In solutions containing Na, strophanthidin changes the form of the curve describing the relation between ⁱM_K^P–1 vs. [K_o]^–1; the curve becomes more parabolic in solutions containing strophanthidin. The rate of ouabain binding to K-free cells has also been measured; in the absence of K, the rate of binding is unaffected by Na_o. The data are considered in terms of a simple kinetic model. The findings can be explained if it is supposed that at low external K the form of the pump combined with one Na_o is more likely to combine with strophanthidin than is the uncombined form of the pump. The uncombined form of the pump is more likely to combine with K even at very low K_o than with strophanthidin.     

Sodium flux in the smooth muscle of frog stomach

Sodium efflux from rings of frog stomach muscle was measured at 5° and 15°C in three different steady states. After incubation in normal, K-free, or ouabain (10^-4 M) solutions, intracellular cations stabilized at markedly differing levels. At 5°C, inhibition of Na extrusion was shown in the rate coefficients for ²²Na efflux, which were slightly smaller in K-free than in normal solutions, and much smaller in ouabain. Due to the intracellular Na concentration differences, total Na efflux was similar in K-free and ouabain solutions, and only ⅕ as large in normal solution. At 15°C, normal total Na flux was only 1/7;–1/10 inhibitors, and may be underestimated. The total flux differences may involve dependence of the Na pump and Na permeation on internal Na concentration. The Q ₁₀ of the steady-state fluxes was 3.7 in ouabain, 2.8 in K-free solution, and 1.9 in normal solution. The high temperature dependence of influx as well as efflux suggests transport mechanisms other than simple diffusion. Sodium turnover in the cell water was 46–66 mM/hr in inhibitors at 15°C, and a high rate of Na extrusion in normal muscle is suggested. However, cell volume:surface ratio is only 1.6 µ and all estimates of Na flux were under 3 pmoles/cm² per sec, indicating low Na permeability.     

On the mechanisms of sodium ion transport by the irrigated gills of rainbow trout (Salmo gairdneri)

Sodium uptake by rainbow trout gills has been investigated with a small-volume system enabling rapid, successive flux measurements in different solutions. Sodium influx obeys a Michaelis-Menten type relation, with a K_m of 0.46 mM, and uptake proceeds unimpaired in the absence of penetrating counter-ions. This suggests a coupled cation exchange. Ammonia output is about the same as the Na⁺ influx when external [Na⁺] is 1 mM, but at higher or lower Na⁺ influxes, the correlation does not hold. A progressive downward shift in the pH of the irrigating medium as Na⁺ influx increases indicates that the exchanging cation is hydrogen. In support of this, acetazolamide, which inhibits Na⁺ uptake, also prevents the downward pH shift. The potential across the gill is about 10 mv, body fluids positive, in NaCl solutions up to 10 mM, and is little affected by changes in Na⁺ concentration below that. Finally, evidence for locating the rate-limiting step at the outer membrane of the epithelium is presented.     

Potassium fluxes in dialyzed squid axons

Measurements have been made of K influx in squid giant axons under internal solute control by dialysis. With [ATP]_i = 1 µM, [Na]_i = 0, K influx was 6 ± 0.6 pmole/cm² sec; an increase to [ATP]_i = 4 mM gave an influx of 8 ± 0.5 pmole/cm² sec, while [ATP]_i 4, [Na]_i 80 gave a K influx of 19 ± 0.7 pmole/cm² sec (all measurements at ∼16°C). Strophanthidin (10 µM) in seawater quantitatively abolished the ATP-dependent increase in K influx. The concentration dependence of ATP-dependent K influx on [ATP]_i, [Na]_i, and [K]_o was measured; an [ATP]_i of 30 µM gave a K influx about half that at physiological concentrations (2–3 mM). About 7 mM [Na]_i yielded half the K influx found at 80 mM [Na]_i. The ATP-dependent K influx responded linearly to [K]_o from 1–20 mM and was independent of whether Na, Li, or choline was the principal cation of seawater. Substances tested as possible energy sources for the K pump were acetyl phosphate, phosphoarginine, PEP, and d-ATP. None was effective except d-ATP and this substance gave 70% of the maximal flux only when phosphoarginine or PEP was also present.     

Ouabain-Insensitive Sodium Movements in the Human Red Blood Cell

Red blood cells exposed to ouabain are capable of net Na outflux against an electrochemical gradient; the net outflux is inhibited by the diuretic, furosemide. In ouabain-treated cells, both the unidirectional Na outflux and the unidirectional Na influx are inhibited by furosemide. Furosemide also inhibits the ouabain-sensitive Na-Na exchange accomplished by the Na-K pump in K-free solutions. From the interaction of extracellular K, furosemide, and ouabain with the transport system, it seems possible that the ouabain-insensitive Na outflux is accomplished by the same mechanism that is responsible for the ouabain-sensitive Na-K exchange. The ouabain-insensitive Na outflux is increased by extracellular Na, and the influx increases as the intracellular Na increases. In fresh cells, high extracellular K concentrations decrease the ouabain-insensitive Na outflux and increase the ouabain-insensitive Na influx. When the rate constant for sodium outflux and the rate constant for sodium influx in ouabain-treated cells are plotted against the extracellular K concentration, the curves obtained are mirror images of each other. In starved cells, extracellular K increases the ouabain-insensitive Na outflux as does extracellular Na, and it has little effect on the Na influx.     

The kinetics of sodium extrusion in striated muscle as functions of the external sodium and potassium ion concentrations

After a 20 min initial washout, the rate of loss of radioactively labeled sodium ions from sodium-enriched muscle cells is sensitive to the external sodium and potassium ion concentrations. In the absence of external potassium ions, the presence of external sodium ions increases the sodium efflux. In the presence of external potassium ions, the presence of external sodium ions decreases the sodium efflux. In the absence of external potassium ions about one-third of the Na⁺ efflux that depends upon the external sodium ion concentration can be abolished by 10^-5 M glycoside. The glycoside-insensitive but external sodium-dependent Na⁺ efflux is uninfluenced by external potassium ions. In the absence of both external sodium and potassium ions the sodium efflux is relatively insensitive to the presence of 10^-5 M glycoside. The maximal external sodium-dependent sodium efflux in the absence of external potassium ions is about 20% of the magnitude of the maximal potassium-dependent sodium efflux. The magnitude of the glycoside-sensitive sodium efflux in K-free Ringer solution is less than 10% of that observed when sodium efflux is maximally activated by potassium ions. The inhibition of the potassium-activated sodium efflux by external sodium ions is of the competitive type. Reducing the external sodium ion concentration displaces the plots of sodium extrusion rate vs. [K]_o to the left and upwards.     

The form of sodium-calcium competition at the frog myoneural junction

The times required for a steady rate of miniature end-plate potential discharge to be reached in response to changes in extracellular [K⁺], [Na⁺], and [Ca⁺⁺] have been measured. In the presence of 15 mM KCl, Ca⁺⁺ raises and Na⁺ lowers the steady-state mepp frequency; but the depressive effect on Na⁺ is not specific: Li⁺ can replace Na⁺ to a large extent. Mepp frequency has been found to depend on the ratio of [Ca_o ⁺⁺]/[Na_o ⁺]. It is assumed that in the steady state, intracellular sodium will change when extracellular sodium is changed. Because both intracellular and extracellular sodium at motor nerve endings affect acetylcholine release, it is proposed that mepp frequency depends on the ratio [Ca_o] [Na_i]²·/[Na_o]² Two models are proposed. Firstly, to account for the action of sodium and calcium a carrier is postulated for which Ca⁺⁺ and Na⁺ compete. The carrier determines a maximum level of intracellular Ca⁺⁺ far lower than predicted by the Nernst equation for Ca. Secondly, to account for activation of acetylcholine release by a small influx of Ca⁺⁺, the ions are presumed to enter the nerve ending in a two stage process through a small intermediate compartment and to act on the acetylcholine release site in this region rather than after entering directly into the cell.     

Influence of Some Ions on the Membrane Potential of Ascaris Muscle

The influence of several ions on the membrane potential of the somatic muscle of Ascaris has been investigated by changing their concentration in the surrounding solution. When [K]_o is increased at the expense of [Na]_o leaving [Cl]_o constant, the membrane potential is first seen to increase. [K]_o higher than 45 mM reduces the membrane potential with a slope of 23 mv for a tenfold change in [K]_o. However, when [K]_o is increased keeping [Na]_o and [Cl]_o low and constant, the line relating the membrane potential with log [K]_o has a slope of almost 50 mv. If [Cl]_o is reduced in the absence of external Na, after the [K]_o is increased to 45 mM, the membrane potential decreases with a slope of 59 mv per tenfold change in [Cl]_o in close agreement with the Nernst equation. If Cl^- is replaced by SO₄ ^2-, a depolarization is produced, while chloride replacement by NO₃ ^-, Br^-, and I^- results in a hyperpolarization of the membrane. Removal of the external Na⁺ ions increases the average membrane potential by 17 mv.     

Sodium Extrusion and Potassium Uptake in Guinea Pig Kidney Cortex Slices

Slices from the cortex corticis of the guinea pig kidney were immersed in a chilled solution without K and then reimmersed in warmer solutions. The Na and K concentrations and the membrane potential V_m were then studied as a function of the Na and K concentrations of the reimmersion fluid. It was found that Na is extruded from the cells against a large electrochemical potential gradient. Q₁₀ for net Na outflux was ∼2.5. At bath K concentrations larger than 8 mM the behavior of K was largely passive. At the outset of reimmersion (V_m > E_K) K influx seemed secondary to Na extrusion. Na extrusion would promote K entrance, being limited and requiring the presence of K in the bathing fluid. At bath K concentrations below 8 mM, K influx was up an electrochemical potential gradient. Thus a parallel active K uptake is apparent. Q₁₀ for net K influx was ∼2.0. Dinitrophenol inhibited net Na outflux and net K influx, Q₁₀ became <1.1 for both fluxes. The ratio between these fluxes varied. Thus at the outset of reimmersion the net Na outflux to net K influx ratio was >1. After 8 minutes it was <1.     

The ionic requirements for the initiation of action potentials in insect muscle fibers

Electrical properties of locust leg muscle fibers were studied by means of intracellular electrodes. In most fibers, a depolarizing current pulse initiated a local response. A delayed decrease in membrane resistance appeared with more than about 10 mv depolarization. In some fibers a regenerative response also was found. Membrane constants were measured, applying the short cable model. The value of the space constant λ was 1.6 mm and the calculated value of R_m was about 1750 ohm cm². Action potentials could be elicited when the bathing fluid contained more than 2–5 mM Ba or Sr. Similar responses were seen with 2 mM Ca in the presence of tetraethylammonium (TEA). The overshoot of these action potentials increased with increasing [Ca⁺⁺]_o, [Sr⁺⁺]_o, or [Ba⁺⁺]_o, the increment for a 10-fold increase being about 29 mv for Ca and Sr and between 40 and 50 mv for Ba. These action potentials were inhibited by Mn ions but were not affected by tetrodotoxin or procaine. In solutions containing Ba or Sr, action potentials generated were suppressed by addition of Ca. The removal of Na ions did not change the configuration of the action potential. The results suggest that an increase in permeability to Ca, Ba, or Sr ions makes a major contribution to the initiation of action potentials in this tissue.     

The effects of external potassium and long duration voltage conditioning on the amplitude of sodium currents in the giant axon of the squid, Loligo pealei

Giant axons were voltage-clamped in solutions of constant sodium concentration (230 mM) and variable potassium concentrations (from 0 to 210 mM). The values of the peak initial transient current, I_p, were measured as a function of conditioning prepulse duration over the range from less than 1 msec to over 3 min. Prepulse amplitudes were varied from E _m = -20 mv to E _m = -160 mv. The attenuation of the I_p values in high [K_o] was found to vary as a function of time when long duration conditioning potentials were applied. In both high and low [K_o], I_p values which had reached a quasi-steady—state level within a few milliseconds following a few milliseconds of hyperpolarization were found to increase following longer hyperpolarization. A second plateau was reached with a time constant of about 100–500 msec and a third with a time constant in the range of 30 to 200 sec. The intermediate quasi-steady—state level was absent in K-free ASW solutions. Sodium inactivation curves, normalized to I _pmax values obtained at either the first or second plateaus, were significantly different in different [K_o]. The inactivation curves, however, tended to superpose after about 1 min of hyperpolarizing conditioning. The time courses and magnitudes of the intermediate and very slow sodium conductance restorations induced by long hyperpolarizing pulses are in agreement with those predicted from the calculated rates and magnitudes of [K⁺] depletion in the space between the axolemma and the Schwann layer.     

Nature of the Schwann cell electrical potential. Effects of the external ionic concentrations and a cardiac glycoside

The effects on the Schwann cell electrical potential of external ionic concentrations and of K-strophanthoside were investigated. Increasing (K)_o depolarized the cell. The potential is related to the logarithm of (K)_o in a quasi-linear fashion. The linear portion of the curve has a slope of 45 mv/ten-fold change in (K)_o. Diminutions of (Na)_o and (Cl)_o produced only small variations in the potential. Calcium and magnesium can be replaced by 44 mM calcium without altering the potential. Increase of (Ca)_o to 88 mM produced about 10 mv hyperpolarization. The cell was hyperpolarized by 11 mv and 4 mv within 1 min after applying K-strophanthoside at concentrations of 10^-3 and 10^-5 M, respectively. No variations of cellular potassium, sodium, or chloride were observed 3 min after applying the glycoside. The hyperpolarization caused by 10^-3 M K-strophanthoside was not observed when (K)_o was diminished to 1 or 0.1 mM or was increased to 30 mM. At a (K)_o of 30 mM, 10^-2 M strophanthoside was required to produce the hyperpolarizing effect. In high calcium, the cell was further hyperpolarized by the glycoside. The initial hyperpolarization caused by the glycoside was followed by a gradual depolarization and a decrease of the cellular potassium concentration. The results indicate that the Schwann cell potential of about -40 mv is due to ionic diffusion, mainly of potassium, and to a cardiac glycoside-sensitive ion transport process.     

Effects of Sodium Azide on Sodium Fluxes in Frog Striated Muscle

Unidirectional Na fluxes from frog''s striated muscle were measured in the presence of 0 to 5 mM sodium azide. With azide concentrations of 2 and 5 mM the Na efflux was markedly stimulated; the Na efflux with 5 mM azide was about 300 per cent greater than normal. A similar increase was present when all but the 5.0 mM sodium added with azide was replaced by choline. 10^-5 M strophanthidin abolished the azide effect on Na²⁴ efflux. Concentrations of azide of 1.0 mM or less had no effect on Na efflux. The Na influx, on the other hand, was only increased by 41 per cent in the presence of 5 mM NaN₃. From these findings it is concluded that the active transport of Na is stimulated by the higher concentrations of azide. The hypothesis is advanced that the active transport of Na is controlled by the transmembrane potential and that the stimulation of Na efflux is produced as a consequence of the membrane depolarization caused by the azide.     

The Role of Calcium in the Regulation of the Steady-State Levels of Sodium and Potassium in the HeLa Cell

Studies on HeLa cells in spinner culture at pH 7.0 and 37° have shown that [Na]_i decreased and [K]_i increased with increasing [Ca]_o. In Na-free (choline) medium [K]_i remained high whether or not Ca was present in the medium. [Na]_i and [K]_i approached a new steady state within 1 min after transfer to Ca-free medium and returned to the initial values within 15 min upon readdition of Ca. 40% of the cell Ca exchanged within 1 min followed by a slow exchange of the remaining Ca over several hours. [Ca]_i increased with decreasing [Na]_o but was independent of [K]_o. Equimolar Mg did not substitute for Ca in maintaining low [Na]_i and high [K]_i. Under steady-state conditions about 50% of the cell Na exchanged in accordance with a single rate constant. The initial Na influx was 270, 100, and 2.5 µM/liter of cell water/sec for 0, 0.10, and 1.0 mM [Ca]_o, respectively. When Na transport was inhibited with strophanthidin and [Na]_i and [K]_i allowed to reach a steady state, Na influx was more rapid for cells incubated in Ca-free medium than for cells incubated in medium containing 1.0 mM Ca. These results suggest that Ca competes with Na at the cell membrane and thus controls the passive diffusion of Na into the cell.     

Cat Heart Muscle in Vitro : VI. Potassium exchange in papillary muscles

The exchange of cell K with K⁴², J _K, has been measured in cat right ventricular papillary muscle under conditions of a steady state with respect to intracellular K concentration. Within the limits of the measurement, all of cell K exchanged at a single rate. Cells from small cats are smaller and have larger surface/volume ratios than cells from large cats. The larger surface/volume ratio results in larger flux values. J _K increases in an approximately linear manner as the external K concentration is increased twentyfold, from 2.5 to 50 mM, at constant intracellular K concentration. The permeability for K ions, P _K, calculated from the influx and membrane potential, remains very nearly constant over this range of external K concentrations. J _K is not affected by replacement of O₂ by N₂, or by stimulated contractions at 60 per minute, but K influx decreases markedly in 10^-5 M and 10^-8 M ouabain.     

Studies of the uptake of nitrate in barley : v. Estimation of root cytoplasmic nitrate concentration using nitrate reductase activity-implications for nitrate influx

The cytoplasmic NO₃⁻ concentration ([NO₃⁻]_c) was estimated for roots of barley (Hordeum vulgare L. cv Klondike) using a technique based on measurement of in vivo nitrate reductase activity. At zero external NO₃⁻ concentration ([NO₃⁻]_o), [NO₃⁻]_c was estimated to be 0.66 mm for plants previously grown in 100 μm NO₃⁻. It increased linearly with [NO₃⁻]_o between 2 and 20 mm, up to 3.9 mm at 20 mm [NO₃⁻]_o. The values obtained are much lower than previous estimates from compartmental analysis of barley roots. These observations support the suggestion (MY Siddiqi, ADM Glass, TJ Ruth [1991] J Exp Bot 42: 1455-1463) that the nitrate reductase-based technique and compartmental analysis determine [NO₃⁻]_c for two separate pools; an active, nitrate reductase-containing pool (possibly located in the epidermal cells) and a larger, slowly metabolized storage pool (possibly in the cortical cells), respectively. Given the values obtained for [NO₃⁻]_c and cell membrane potentials of −200 to −300 mV (ADM Glass, JE Schaff, LV Kochian [1992] Plant Physiol 99: 456-463), it is very unlikely that passive influx of NO₃⁻ is possible via the high-concentration, low-affinity transport system for NO₃⁻. This conclusion is consistent with the suggestion by Glass et al. that this system is thermodynamically active and capable of transporting NO₃⁻ against its electrochemical potential gradient.     

Some factors influencing sodium extrusion by internally dialyzed squid axons

Squid giant axons were internally dialyzed by a technique previously described. In an axon exposed to cyanide seawater for 1 hr and dialyzed with an ATP-free medium, the Na efflux had a mean value of 1.3 pmole/cm²sec when [Na]_i was 88 mM, in quantitative agreement with flux ratio calculations for a purely passive Na movement. When ATP at a concentration of 5–10 mM was supplied to the axoplasm by dialysis, Na efflux rose almost 30-fold, while if phosphoarginine, 10 mM, was supplied instead of ATP, the Na efflux rose only about 15-fold. The substitution of Li for Na in the seawater outside did not affect the Na efflux from an axon supplied with ATP, while a change to K-free Na seawater reduced the Na efflux to about one-half. When special means were used to free an axon of virtually all ADP, the response of the Na efflux to dialysis with phosphoarginine (PA) at 10 mM was very small (an increment of ca. 3 pmole/cm²sec) and it can be concluded that more than 96% of the Na efflux from an axon is fueled by ATP rather than PA. Measurements of [ATP] in the fluid flowing out of the dialysis tube when the [ATP] supplied was 5 mM made it possible to have a continuous measurement of ATP consumption by the axon. This averaged 43 pmole/cm²sec. The ATP content of axons was also measured and averaged 4.4 mM. Estimates were made of the activities of the following enzymes in axoplasm: ATPase, adenylate kinase, and arginine phosphokinase. Values are scaled to 13°C.     

The influence of external potassium on the inactivation of sodium currents in the giant axon of the squid, Loligo pealei

Isolated giant axons were voltage-clamped in seawater solutions having constant sodium concentrations of 230 mM and variable potassium concentrations of from zero to 210 mM. The inactivation of the initial transient membrane current normally carried by Na⁺ was studied by measuring the Hodgkin-Huxley h parameter as a function of time. It was found that h reaches a steady-state value within 30 msec in all solutions. The values of h _∞, τ_h, α_h,and β_h as functions of membrane potential were determined for various [K _o]. The steady-state values of the h parameter were found to be inversely related, while the time constant, τ_h, was directly related to external K⁺ concentration. While the absolute magnitude as well as the slopes of the h _∞ vs. membrane potential curves were altered by varying external K⁺, only the magnitude and not the shape of the corresponding τ_h curves was altered. Values of the two rate constants, α_h and β_h, were calculated from h_∞ and τ_h values. α_h is inversely related to [K_o] while β_h is directly related to [K_o] for hyperpolarizing membrane potentials and is independent of [K_o] for depolarizing membrane potentials. Hodgkin-Huxley equations relating α_h and β_h to E_m were rewritten so as to account for the observed effects of [K_o]. It is concluded that external potassium ions have an inactivating effect on the initial transient membrane conductance which cannot be explained solely on the basis of potassium membrane depolarization.     

The penetration of sodium into the epithelium of the frog skin

The aim of this paper is twofold. First, to describe a method for the measurement of the unidirectional flux of Na from the outer bathing solution into epithelium (J_OT), and second, to describe the use of this method under a variety of experimental conditions in order to obtain some insight into the nature of this flux. The method developed is based on the exposure of a frog skin to a Ringer solution containing ²²Na. The exposure is made so that neighboring points along the surface remain in contact with the ²²Na solution for gradually longer periods, ranging from 0 to 46 sec. Some 8 to 10 samples of the exposed part are used to obtain the time course of the uptake of ²²Na and this time course is used, in turn, to evaluate J_OT. This flux is then studied in skins mounted between two identical Ringer solutions with 115 mM Na (11.25 ± 0.10 [18] µmole·hr^-2 cm^-2), and in skins mounted with Ringer with 1 mM Na on the outside and 115 mM Na on the inside (0.43 ± 0.05 [18] µmole·hr^-1·cm^-2. From the observations that the flux is much larger than the net Na flux across the whole skin, that it is inhibited by K⁺, and is unaffected by ouabain, it is concluded that the penetration of Na⁺ into the epithelium does not occur by simple diffusion and is not directly dependent on an ouabain-sensitive mechanism. In the course of these experiments it was observed that when the skin was crushed between two chambers the uptake of Na in the neighboring exposed areas was decreased.