Saturation of the internal sodium site of the sodium pump can distort estimates of potassium affinity

Resilience of compound action potential peaks to high-frequency firing in the mouse optic nerve

Action potential conduction in axons triggers trans-membrane ion movements, where Na⁺ enters and K⁺ leaves axons, leading to disruptions in resting trans-membrane ion gradients that must be restored for optimal axon conduction, an energy dependent process. The higher the stimulus frequency, the greater the ion movements and the resulting energy demand. In the mouse optic nerve (MON), the stimulus evoked compound action potential (CAP) displays a triple peaked profile, consistent with subpopulations of axons classified by size producing the distinct peaks. The three CAP peaks show differential sensitivity to high-frequency firing, with the large axons, which contribute to the 1st peak, more resilient than the small axons, which produce the 3rd peak. Modeling studies predict frequency dependent intra-axonal Na⁺ accumulation at the nodes of Ranvier, sufficient to attenuate the triple peaked CAP. Short bursts of high-frequency stimulus evoke transient elevations in interstitial K⁺ ([K⁺ ]_o ), which peak at about 50 Hz. However, powerful astrocytic buffering limits the [K⁺ ]_o increase to levels insufficient to cause CAP attenuation. A post-stimulus [K⁺ ]_o undershoot below baseline coincides with a transient increase in the amplitudes of all three CAP peaks. The volume specific scaling relating energy expenditure to increasing axon size dictates that large axons are more resilient to high-frequency firing than small axons.

Veratridine-induced oscillations in membrane potential of cultured rat skeletal muscle: role of the Na-K pump

1. The acute effects of veratridine on membrane potential (Em) and Na-K pump activity in cultured skeletal muscle were examined. 2. At a concentration of 10(-4) M, veratridine caused depolarization of Em and a decrease in Na-K pump activity. At concentrations of 10(-5) and 10(-6) M, veratridine caused oscillations of Em and an increase in Na-K pump activity compared to untreated, control cells. The oscillations consisted of depolarization to about -40 mV followed by hyperpolarization to about -90 mV; the level of hyperpolarization was higher at 37 than at 23 degrees C. 3. Veratridine-induced oscillations could be prevented by pretreatment with tetrodotoxin (10(-6) M) and blocked or prevented by ouabain, which depolarizes Em of cultured myotubes. In contrast, depolarization of Em to -60 mV by excess K+ did not alter the amplitude or frequency of the oscillations. 4. The results demonstrate that veratridine-induced increase in Na influx both depolarizes cultured myotubes and increases the activity of the Na-K pump, which repolarizes Em to levels higher than control. This sequence accounts for veratridine-induced oscillations in Em. High concentrations of veratridine cause only depolarization of Em and inhibition of Na-K pump activity.

Ionic diffusion in voltage-clamped isolated cardiac myocytes. Implications for Na,K-pump studies

The whole-cell voltage-clamp technique employing electrolyte-filled micro-pipette suction electrodes is widely used to investigate questions requiring an electrophysiological approach. With this technique, the ionic composition of the cytosol is assumed to be strongly influenced (as result of diffusion) by the ionic composition of the solution contained in the electrode. If this assumption is valid for isolated cardiac myocytes, the technique would be particularly powerful for studying the dependence of their Na,K-pump on the intracellular [Na+]. However, the relationship between the concentrations of ions in the solution filling the electrode and those in the cytosol has not been established. The relationship was investigated to determine in particular whether the [Na+] at the intracellular cation ligand binding sites for the Na-pump ([ Na+]ps) can be set and clamped by [Na+] in the pipette electrode ([ Na+]pip). If [Na+]pip can set and clamp [Na+]ps, this would provide a means for defining the dependence of the Na,K-pump on intracellular [Na+]. The relationship between [Na+]pip and [Na+]ps was analyzed using two approaches. First, a mathematical model of three-dimensional ionic diffusion within a whole-cell patch-clamped myocyte was developed and the effects of experimental parameters on mean [Na+]ps were investigated. When typical experimental values were simulated, the time course to achieve steady state mean [Na+]ps was found to be most sensitive to variations in electrode pore size, cell length and the Na+ pumping rate, but at steady state, mean [Na+]ps varies from [Na+]pip by 5% or less depending on pump rate. Second, to provide experimental support for the validity of the simulations, isolated ventricular myocytes were voltage-clamped and the reversal potential for the Na current was determined in order to estimate steady state intracellular [Na+]. The results of the mathematical and experimental analyses suggest that steady state [Na+]ps can be regulated by the [Na+] in suction pipette electrodes. These findings, while also having a broader significance, indicate for isolated cardiac myocytes that whole-cell suction micro-electrodes can provide a means to assess the dependence of the Na,K-pump on [Na+]ps.

Effects of carbamylcholine on membrane potential and Na-K pump activity of cultured rat skeletal myotubes

1. We measured changes in resting membrane potential (Em) and Na-K pump activity, assayed by ouabain-sensitive 86Rb uptake, in response to carbamylcholine (CCh) and its continued presence in single rat skeletal myotubes in culture. 2. CCh caused immediate depolarization from control Em (-80 to -85 mV) to near 0 followed by repolarization of varying degrees depending on the age of the culture and temperature of the recording medium; repolarization of Em was most apparent by culture age 8-9 days in vitro (DIV), Em reaching values as high as -60 mV by 5-10 min after peak depolarization at 37 degrees C. 3. Input resistance, which decreased during CCh depolarization, increased only slightly during the initial phase of repolarization and then remained essentially unchanged during the major component of membrane repolarization in the presence of CCh. 4. Ouabain, given before CCh, prevented repolarization of Em and, when given after repolarization had begun, reversed it and caused Em to return to about -7 mV. 5. Na-K pump activity was decreased in myotubes in which Em did not repolarize or did so only slightly, and was increased by over 40-50% in myotubes whose Em repolarized by 40-60 mV, even though CCh was still present in the medium. Inhibition of pump activity in non repolarizing myotubes was related to Na influx, inhibition being reversed to stimulation when CCh was administered to myotubes in Na-free medium. 6. Repeated (three or four times) or prolonged (up to 60-min) administration of CCh to myotubes in which repolarization was hardly expressed (age 6-7 DIV) caused increases both in the amount of repolarization and in 86Rb uptake, both being related to the number or duration of CCh exposures. 7. We conclude that repolarization of Em following CCh-induced depolarization of cultured rat skeletal myotubes depends to a large extent on an increase in activity of the electrogenic Na-K pump.

Na,K pump stimulation by intracellular Na in isolated, intact sheep cardiac Purkinje fibers

Regulation of the Na,K pump in intact cells is strongly associated with the level of intracellular Na+. Experiments were carried out on intact, isolated sheep Purkinje strands at 37 degrees C. Membrane potential (Vm) was measured by an open-tipped glass electrode and intracellular Na+ activity (aNai) was calculated from the voltage difference between an Na+-selective microelectrode (ETH 227) and Vm. In some experiments, intracellular potassium (aiK) or chloride (aCli) was measured by a third separate microelectrode. Strands were loaded by Na,K pump inhibition produced by K+ removal and by increasing Na+ leak by removing Mg++ and lowering free Ca++ to 10(-8) M. Equilibrium with outside levels of Na+ was reached within 30-60 min. During sequential addition of 6 mM Mg++ and reduction of Na+ to 2.4 mM, the cells maintained a stable aNai ranging between 25 and 90 mM and Vm was -30.8 +/- 2.2 mV. The Na,K pump was reactivated with 30 mM Rb+ or K+. Vm increased over 50-60 s to -77.4 +/- 5.9 mV with Rb+ activation and to -66.0 +/- 7.7 mV with K+ activation. aiNa decreased in both cases to 0.5 +/- 0.2 mM in 5-15 min. The maximum rate of aiNa decline (maximum delta aNai/delta t) was the same with K+ and Rb+ at concentrations greater than 20 mM. The response was abolished by 10(-5) M acetylstrophantidin. Maximum delta aNai/delta t was independent of outside Na+, while aKi was negatively correlated with aNai (aKi = 88.4 - 0.86.aNai). aCli decreased by at most 3 mM during reactivation, which indicates that volume changes did not seriously affect aNai. This model provided a functional isolation of the Na,K pump, so that the relation between the pump rate (delta aNai/delta t) and aiNa could be examined. A Hill plot allowed calculation of Vmax ranging from 5.5 to 27 mM/min, which on average is equal to 25 pmol.cm-2.s-1.K 0.5 was 10.5 +/- 0.6 mM (the aNai that gives delta aNai/delta t = Vmax/2) and n equaled 1.94 +/- 0.13 (the Hill coefficient). These values were not different with K+ or Rb+ as an external activator. The number of ouabain-binding sites equaled 400 pmol.g-1, giving a maximum Na+ turnover of 300 s-1. The Na,K pump in intact Purkinje strands exhibited typical sigmoidal saturation kinetics with regard to aNai as described by the equation upsilon/Vmax = aNai(1.94)/(95.2 + aNai(1.94)). The maximum sensitivity of the Na,K pump to aiNa occurred at approximately 6 mM.

Models of the Na-K pump in cardiac muscle predict the wrong intracellular Na+ activity

The Na-K pump in cardiac Purkinje strands has been carefully studied with voltage clamp and Na+-selective microelectrodes. In three of these studies both the rate of change of intracellular Na+ activity, a(Nai), after pump blockade, and the time constant of reduction of a(Nai) after an Na+ load were measured. These two parameters can be employed with a formalism relating pump activity to a(Nai) in order to predict the a(Nai) in the steady state. Several formalisms were tested: (a) a first-order dependence on a(Nai); (b) a model based on the assumption of a single, saturable, Na+-binding site that must be occupied for transport to occur; (c) a model based on n equivalent, saturable, Na+ binding sites per pump molecule all of which must be occupied for transport to occur. The first two models predicted an a(Nai) that is far below the value of about 6 mM that is experimentally obtained. The third model would work for n greater than or equal to 4. These results suggest that either the cardiac Na-K pump is not well described by available Na-K pump models for n less than 4 or that the measured Na+ influx rate, extrusion rate or a(Nai) are in error.

On the effect of unstirred layers on K+-activated electrogenic Na+ pumping in cardiac Purkinje strands

Many studies of electrogenic Na+ pumping in Purkinje strands have involved intracellular Na+ loading by exposure to 0 mM K+, followed by reexposure to K+. For sheep Purkinje strands the K+ concentration for half-maximal stimulation (K0.5) in such studies is higher than K0.5 of canine Purkinje strands. A model was developed to determine if gradients in the K+ concentration of extracellular fluid layers during enhanced pump activity can account for the discrepancy. Pump activity was assumed linearly dependent on [Na+]i and dependent on [K+]o, according to Michaelis-Menten kinetics. The model simulated diffusion of K+ across unstirred layers and both depletion and accumulation of K+ in extracellular clefts of Purkinje strands during changes in the K+ concentration of the tissue bath. Errors in estimates of K0.5 occurred when delay in achieving a steady state extracellular K+ concentration was simulated. The simulations suggested that a linear relationship between pump current and intracellular Na+, a monoexponential decay of pump current, independence of the rate constants for the current decay on the initial Na+ load and holding potential, and apparent Michaelis-Menten K+ kinetics is not sufficient evidence against pump-induced interstitial K+ depletion having introduced errors in determination of K0.5. It is concluded that interstitial K+ depletion may account for the difference between determinations of K0.5 in sheep and canine Purkinje strands.