Clinical Science (1995) 88, 695-700 (Printed in Great Britain) 695 Effect of extracellular potassium concentration on the sodium-potassium pump rate in human lymphocytes George D. WEBB*, Elizabeth A. TAYLOR?, Vernon M. S. OH?,Soh-Bee YEOt and Leong L. NG$ *Department of Molecular Physiology and Biophysics, University of Vermont, College of Medicine, Burlington, Vermont, U.S.A., ?Division of Clinical Pharmacology and Therapeutics, Deportment of Medicine, National University Hospital, Singapore. and $Department of Medicine and Therapeutics, University of Leicester, School of Medicine, Leicester, U.K. (Received 12 September 1994/10 February 1995; accepted 23 February 1995) ~~~ 1. The purpose of this study was to determine whether physiological changes in extracellular free [K'] cause significant changes in the Na'-K' pump rate and intracellular free [Na']. 2. The Na+-K' pump rate was measured in human lymphocytes by determining ouabain-sensitive "Rb' influx at several concentrations of K'. The Na'-K' pump rate increased within the physiological range of extracellular free [K'] (Kl/z = l.Smmol/l). 3. To test the hypothesis that elevation of extracellular free [K' ] reduces intracellular free [Na'] rapidly, which in turn then slows the pump rate during experimental incubations, lymphocyte intracellular free [Na'] was measured using the fluorochrome sodium-binding benzofuran isophthalate. With larger elevations of extracellular free [K'], intracellular free [Na'] dropped more rapidly. Thus previous discrepancies among determinations of KII, may be the result of variations in incubation times, which can skew the pump rates measured during incubations in various extracellular free [K'] values. Steady-state intracellular free [Na'] varied inversely with extracellular free [K']. INTRODUCTION The Na+-K+ pump (Na', K+-ATPase, EC 3.6.1.37) transports N a + out of the cell and K + into the cell. Variations in extracellular free [K'] ([K'],) affect the Na+-K+ pump rate. It is important to know the magnitude of this effect within the physiological range of plasma potassium, because many cell functions depend on the Na'-K+ pump. If the effect is appreciable, it has important clinical implications, because the plasma (and interstitial) concentration of K + is subject to acute and chronic changes. Studies of erythrocytes have found that the half-maximum Na+-K+ pump rate occurs at a [K'], of 1.8-2.0mmol/l (the 'KIIZ') [l-31. Leucocytes may be more representative of most other body cells than are erythrocytes because, like most other cells, leucocytes have a nucleus and mitochondria, and they pump N a + and K' about 50 times faster than erythrocytes [4, 51. Leucocytes appear to have a mixture of the different isoforms of the Na+-K+ pump [6] that may more closely resemble the mixture found in cells which are important for determining blood pressure, such as vascular smooth muscle, which apparently expresses all three isoforms of the catalytic subunit [7]. Erythrocytes express only the a,-isoform of the catalytic subunit of the Na+-K+ pump [8], whereas both a1 and ag are expressed in leucocytes [9]. Previous studies in which the Kllz for K + activation of the human leucocyte Na+-K+ pump has been determined have produced conflicting values; in one study the Kl12 was found to be 1.7mmol K+/1 [lo], while in another study Kl12 was only 0.6 mmol/l [ 113. Physiological changes in the plasma K + concentration would have a considerable effect on the Naf-Kf pump rate if the Kllz is 1.7mmol/l, but not if the KIIz is only 0.6mmol/l. The discrepancy between the two values of K 112 might be due to the difference in the incubation times (10 versus 60min) used to determine the Na+-K+ pump rate in the two studies. In a study of cultured rat liver cells, changes in [K'], rapidly altered the intracellular free "a+] ([Na+Ii), which itself affects the pump rate [lZ]. The effect is thus the especially pronounced at higher [K'],; measured pump rate will be reduced proportionally more at high [K'], than at low [K'],, unless incubation times are short. This effect should cause the apparent K l l z to decrease when longer incubation times are used. To test this explanation for the low apparent Kllz obtained when lymphocytes were incubated for 60min [ll], in the current study the K I p was determined using the same techniques, but wlth the incubation time reduced to 8 min. In addition, the second-to-second changes in [Na' Ii, after a given change in [K'],, were monitored using human lymphocytes that contained a sodium-sensitive fluorescent dye. This paper describes the results. Key words: leucocytes, lymphocytes, Na'-K +-exchanging ATPase, ouabain, potassium. Correspondence: D r George D. Webb, Department of Molecular Physiology and Biophysics, University of Vermont, College of Medicine, Given Building, Burlington, VT 05405, U.S.A. 696 G. D. Webb et al. METHODS Subjects and lymphocyte preparation The subjects for the lymphocyte studies were healthy subjects (five men, four women), who gave their informed consent to donate their blood. The protocol received ethical approval from the Biological Science Research Review Committee of the National University of Singapore and from the Leicestershire Health Authority Ethics Committee. At approximately 09 00 hours, 50 ml of venous blood was slowly drawn into a heparinized syringe, and the lymphocytes were isolated by discontinuous density-gradient centrifugation as previously described [13, 141, and washed with RPMI-1640. MRb influx experiments The RPMI-washed cells were washed and suspended in K+-free 'Ringer's solution' (KFR), which contained (in mmol/l): NaCl, 118.3; Na,HPO,, 13.82; NaH,PO,, 3.25; CaCl,, 1.27; MgSO,, 1.19; and glucose, 5.5 (pH adjusted to 7.4). The total time in KFR (including wash times) before adding 86Rb for influx measurement was 47min. The cell concentrations of the suspension were determined with a Coulter counter. The contamination with erythrocytes averaged 22%. Since erythrocytes pump K + at about 1/50th of the rate for lymphocytes [4], 99.4% of the ouabain-sensitive a6Rb+ uptake was into the leucocytes. The intra-assay coefficient of variation was 6% in our measurement of "Rb+ influx [14], therefore a 0.6% erythrocyte correction was deemed unnecessary. The method for measuring ouabain-sensitive 86Rb+ influx was the same as described previously [14], except that the ouabain-treated cells were preinhibited by exposure to 4.6 x lo-, mol/l ouabain (in KFR) for 5min and then diluted by adding 86Rb+ together with KCl (substituted for NaCl in KFR) at concentrations which resulted in final [K'], values of 1, 2.5, 4.5 or 8.0mmol/l and a final ouabain concentration of 2 x 104mol/l (the same procedure was used for the zero ouabain cells). Quadruplicate tubes were filled in both forward and reverse orders; the average incubation time (at 37°C) for each of the four tubes was 8min (two a little longer and two a little shorter). The incubation was terminated by agitating the tubes in a water and ice mixture for 1 min before cold centrifugation. Corrections were made for the amount of intracellular "Rb+ lost during incubation (back-flux) and during washing procedure (required to remove extracellular 86Rb+).It has been demonstrated that the Na+-K+ pump transports 86Rb+ in exactly the same way as 42K+ [l5], therefore the 86Rb+ counts were converted into an equivalent amount of K + by equating the number of c.p.m./ml in the incubation solution to the amount of K+/ml. To obtain the amount of K + influx per litre of cells, we calculated the total cell volume per tube by multiplying the number of lymphocytes by 230fl. The average volume of adult human lymphocytes has been determined to be 233 (SD 29) fl from direct visual measurements of cellular cross-sectional area [161, and this agrees well with our volume measurements using the Coulter counter to estimate mean cell diameter. Ouabain-binding experiments The technique for determining the number of ouabain binding sites has been described [13, 141. Lymphocytes were incubated for 2 h at 37°C in KFR containing 100 nmol/l C3H]ouabain, with and without unlabelled digoxin 20 pmol/l. Non-specific ouabain binding averaged 3% of the total binding. Experiments using several concentrations of C3H]ouabain showed that 100nmol/l resulted in close to the maximum amount of ouabain binding. lntracellular Na' measurements using sodium-binding benzofuran isophthalate (SBFI) The method for measuring "a+], with SBFI has been described by Harootunian et al. [17]. Following isolation of the lymphocytes, the remaining erythrocytes were lysed with a 10-s distilled water shock, which does not damage the lymphocytes [4]. The lymphocytes were loaded with the N a + sensitive fluorophore SBFI acetoxymethyl ester (Sigma, St Louis, MO, U.S.A.), as described by Harootunian et al. [17]. Ninety per cent of the cells were then resuspended in K+-deficient Hepesbuffered saline composed of (in mmol/l) NaCI, 140; KCl, 0.1; CaCl,, 1.8; MgSO,, 0.8; glucose, 5; Hepes, 15; and 10% dialysed fetal calf serum, pH adjusted to 7.4. The low concentration of K + slowed the Na+-K+ pump, thus allowing intracellular N a + to accumulate. Ten per cent of the cells were incubated in RPMI-1640 medium to be used for calibration. After incubation for 1 h to allow hydrolysis of all the acetoxymethyl groups, the RPMI-treated cells were resuspended in Na+-free isotonic KCl buffer containing (in mmol/l), KCl, 140; CaCl,, 1.8; MgSO,, 0.8; glucose, 5; Hepes, 15, pH 7.4. This suspension was placed in a cuvette in a dual grating fluorometer (Deltascan, Photon Technology International, South Brunswick, NJ, U.S.A.), set at 37°C. Fluorescence emission was determined at 500 nm (10 nm slit width), with excitation gratings set at 340 and 385 nm (5 nm slit widths). Emission ratios were determined every 200ms. The 340/385nm ratio is a measure of the intracellular N a + concentration, independent of the amount of dye loading or bleaching, and independent of the cell number. This ratio was calculated by computer after correcting for autofluorescence of cells not loaded with SBFI. After obtaining a stable reading for about a minute in the Na+-free KCI buffer, the ionophore Extracellular potassium and Na+-K+ pump rate 697 3.5 .-0 3.0 8 a, ?? 2.5 8 E I s L n 2.0 1.5 Na+ Ommol/l I 0 200 400 Time 600 800 (I) 0 gramicidin 4 pmol/l was added to permeabilize the cells to monovalent cations. After about 5min of exposure to gramicidin, intracellular Na' was depleted. Extracellular Na' concentration was then raised by adding appropriate volumes of isotonic NaCl buffer, stepwise, to raise [Na'], to 5, then 10, 20, 40 and finally 80pmol/l, allowing "a'], to equilibrate before each addition (see Fig. 1). Note that "a'], dropped very slowly in the KCl buffer until gramicidin was added. A standard curve of Na' concentration against the 340/385 nm fluorescence ratio was entered into the computer from these calibration data. The cells which had been incubated in K+-deficient Hepes-buffered saline achieved intracellular Na' concentrations ranging from 50 to 60 mmol/l within 3 h. These cells were resuspended (0.1 mmol K+/1) Hepesin fresh K'-deficient buffered saline and equilibrated for 5min in the fluorometer. The intracellular Na' concentration remained stable over this period. Isotonic KCl was added in a volume sufficient to achieve a desired [K'],. Readings of "a+], (converted from the 340/385 nm ratio by computer using the previously obtained calibration curve) were obtained every 200ms over the next 20min. This was repeated for [K'], of 1, 2.5, 4, 8 and 16mmol/l in random order. The cells usually remained viable (and unclumped) long enough to allow repetition of some or all concentrations, yielding nearly identical curves. This allowed us to study, in real time, the net change in "a+], resulting from the addition of K' (e.g. Fig. 4). To verify that the net changes in [Na'], in Na'-loaded cells, after the addition of extracellular K', were mediated primarily by the Na+-K' pump, the pump was inhibited by adding ouabain lOOnmol/l before the addition of K'. This 2 4 8 6 V+I0 (mmol/l) Fig. 1. Fluorescence intensity ratio for the excitation wavelengths of 340 and 38Snm is plotted versus time. Human lymphocytes were preloaded with the sodium-binding fluorescent dye benrofuran isophthalate and suspended in a zero Na+ buffer. A t the time indicated, the cells were permeabilized to monovalent cations with gramicidin. Then the Na" concentration was increased stepwise as indicated. Fig. 2. Na+-K+ pump rate (expressed as the ouabaimensitive K+ influx rate calculated from %b+ influx) versus extracellular K + concentration in human lymphocytes. Points are the means of six subjects (each subject was tested in quadruplicate). The curve is the best computer fit to the equation y=ox/(b+x). Table 1. Comparison of ouabaimensitive K+ influx rate with the number of ouabain binding sites. The ouabain-sensitive K" influx rate in mmoll-I cells h-l, was calculated from the "Rb+ uptake during an Bmin incubation in K + 4.5mmol/l. Values are the means of quadruplicate parallel experiments. The numbers of ouabain binding sites are the means of triplicate parallel experiments. Subject OuabaiMensitive K + influx rate (mmoll-I cells h-l) Ouabain binding sites/cell I 172 I18 261 I09 I70 429 37 OOO 60 OOO 57 OOO 34 000 44000 131 OOO 2 3 4 5 6 abolished the fall in intracellular Na' concentration when [K'], was raised and, in some cases, led to a further slight rise in intracellular Na' concentration (data not shown). RESULTS The effect of [K'], on the Na'-K' pump rate (determined as the ouabain-sensitive 86Rb' influx rate) in human lymphocytes, using 8 min incubation times, is shown in Fig. 2. In the equation for the curve in Fig. 2, 'b' the [K'], at half 'Vmai (K1,J, was lSmmol/l. The curve in Fig. 2 shows that small deviations in [K'], from the normal concentration of 4 mmol/l produce biologically significant changes in the Na'-K' pump rate. Table 1 shows the individual values for both Na+-K+ pump rate, when the cells were in a physiological solution containing 4.5 mmol/l K +, G. D. Webb et al. 698 ' = > -+d z 28 g -c 70- 60- /- 50403020- 10 - 0- OJ r 8 I 0 50 100 I I 1 I 150 200 250 Time of K + depletion (min) 300 350 Fig. 3. lntracellular N a + concentration in human lymphocytes as measured by the fluorescence ratio of the intracellular sodiumbinding dye benzofuran isophthalate (see Fig. I).At time zero, the cells were transferred to a buffered saline containing 0.1 mmol/l K+. Samples of the suspension were taken at later times as indicated. and for the number of ouabain binding sites for the six subjects whose data were used in Fig. 2. The pump rate does not appear to be directly proportional to the number of ouabain binding sites, possibly because of differences in "a'],. Although the pump rate varies considerably between individuals, the shapes of the individual curves of pump rate versus [K'], were similar. When K,/, was calculated from each individual curve, the mean was 1.52mmol/l and the standard error of the mean was 0.23. This mean, resulting from our current 8 min incubations, is significantly different (Pe0.02) from the mean KII, of 0.65 (SE 0.10) mmol/l calculated the same way from the data generated using 60-min incubations [ l l , 181. The [Na'Ii in human lymphocytes progressively increases after the [K'], is reduced to 0.1 mmol/l (Fig. 3). We found that, after about 5 h, "a'], reached a steady state of about 60 mmol/l with the extremely slow Na+-K+ pump rate that is sustained by a [K'], of 0.1 mmol/l. We also found that when we suspended the cells in a solution containing no extracellular K +, the cells usually become irreversibly damaged within 2 or 3h. After the cells containing the Na'-sensitive fluorescent dye had been in [K'], of 0.1 mmol/l for over 3 h, an aliquot of cells was placed in the fluorometer and [K'], was increased to one of five selected concentrations (in random order) while "a'], was measured. The results of such experiments on a representative subject are shown in Fig. 4. To facilitate comparisons, the curves in Fig. 4 were chronologically superimposed by computer so that time zero was redefined as the time at which [Na'], became 52mmol/l, a little less than the starting value. "a'], dropped more rapidly the higher the [K'],. The rate of change in [Na'], decreased with time, and for each [K'], value the I 0 I 200 400 600 800 loo0 1200 1400 Time (s) Fig. 4. Superimposed computer plots of five experiments on a representative subject's lymphocytes showing [Na'li measured with intracellular sodium-sensitive fluorescent dye after raising [K'], to the level indicated. The cells had previously been incubated in [K'], 0.1 mmol/l t o raise "a+]; to above 55mmol/l. The curves were superimposed by computer so that time zero was redefined as the time at which "a+], became 52mmol/l, and are plotted from that point on. [Na+]i 50 mmol/l [Na+]i 45 mmol/l [Na+]i 40 mmol/l [Na+]i 35 mmol/l [Na+]i 30 mmol/l ...._...........--=[Na+]i 25 mmol/l [Na+]i 20 mmol/l Fig. 5. N e t Na' efflux rate versus [K'], for selected "a'], values. ?he curves were generated from the data shown in Fig. 4. When the SD is shown, the values are on the same subject's cells. "a'], appears to progress towards a different steady-state level. The slope of the curves at any point gives the rate of net Na' efflux at that point. These slopes were determined by computer at selected values of [Na'],, using the curves shown in Fig. 4, and are plotted in Fig. 5. For all the "a'], values selected, the rate of net Na' efflux increases when [K'], is raised above the physiological concentration of 4 mmol/l (Fig. 5). The net Na' efflux rate appears to approach a maximum when [ N a f l i is 50mmol/l and [K'], is 16 mmol/l. DISCUSS10N These results show that changes in plasma K' concentration within the physiological range will cause significant changes in the cellular Na'-K+ pump rate and "a'], in human lymphocytes, and presumably in most cells. [Na'], approaches a steady-state value that depends (inversely) on [K'], Extracellular potassium and Na+-K+ pump rate concentration (Fig. 4). Thus, the plasma K + concentration sets [Na'li through its effect on the Na+-K+ pump rate. This has important physiological consequences, since there are several Na+-dependent co- and counter-transport systems in cell membranes. The Kllz of 1.5mmol/l for K + activation of the Na+-K+ pump found here (Fig. 2), is 2.5 times greater than the K l 1 2 of 0.6mmol/l found earlier [ll] using the same technique, but with a longer incubation time (60min compared with the present 8min). The upper curve in Fig. 5 provides an approximate, near-instantaneous (200ms) determination of pump rate for various [K'], values. The Kll, for this curve is 2.0mmol/l, consistent with the trend for a larger KIl2 when the incubation is shorter. The other curves in Fig. 5 do not accurately reflect the pump rate because, as falls, the net Na' efflux rate falls, partly because of the increasing net 'passive' influx (i.e. falling total passive efflux). Thus, the net Na' efflux rate approximates the pump efflux rate only at high [Na'Ii when net passive Na+ flux is near zero. The finding of larger K,,, values when incubation times are shorter may be the result of the more rapid decline of in higher [K'],, as seen in Fig. 4. The K , , , for activation of the Na+-K' pump by intracellular Na' is about 12mmol/l [19]. Based on the data of Fig. 4, if cells are incubated in lmmol/l [K'], for 8min, [Na'li will drop from 52mmol/l to 42mmol/l. Thus the pump will be nearly maximally stimulated by Na" throughout the 8min incubation. In contrast, after 8min in 16mmol/l [K'],, the pump will be only about 70% activated by the [Na+Ii of 22 mmol/l. Thus 16mmol/l [K'], will appear to be somewhat less effective in activating the Na+-K+ pump than it really is. This effect will be accentuated with longer incubations, leading to a lower apparent K l l z . It is possible that KlI2 for K' activation might vary with [Na+Ii independent of incubation time, but this appears not to be the case. In the present study (as in [ll]) the cells used to produce the data for Fig. 2 were preincubated for 47min in KFR, raising [Na+li to about 23 mmol/l compared with the normal of 14mmol/l (based on Fig. 3). Nevertheless, the present value for K was very close to the value obtained by Hilton et al. [lo], who used leucocytes with normal [Na+Ii and a similar incubation time. In voltage-clamped guinea pig ventricular myocytes with [Na+li controlled at 50 mmol/l, the Kllz for extracellular K + activation of the Na+-K+ pump was found to be 1.5mmol/l [20], identical to the value from Fig. 2 where [Na+li was only 23 mmol/l The sensitivity of the pump to K' may underlie several physiological phenomena. One example is active hyperaemia, in which arteriolar smooth muscle relaxes independently of nervous or hormonal input when a tissue such as skeletal muscle is active. In an exercising muscle, the extracellular K + 699 concentration may reach 10-15mmol/l as a result of the K + released from the skeletal muscle fibres by the action potentials [21, 221. The data in Figs. 2 and 5 suggest that changing [K'], from 4mmol/l to 12mmol/l will increase the Na+-K+ pump rate by about 25% in the surrounding cells. It has been found that increasing [K '1, (in the physiological range) causes a reduction in [Na+Ii in cultured vascular smooth muscle cells [23]: it is likely that this also occurs in uiuo. This will speed up the extrusion of Ca2+ by the Na+/Ca2+ exchanger [24], causing relaxation and increased blood flow. In addition, faster Na+-K+ pumping will cause hyperpolarization, which will decrease the average open time of voltage-sensitive Ca2+ channels [25], also leading to relaxation of vascular smooth muscle. These same mechanisms, which may partly explain active hyperaemia, may also be partly responsible for the negative correlation between blood pressure and plasma K + concentration seen in several human populations [ll, 26-30]. A review of the placebo-controlled, double-blind studies of oral KCl supplementation showed that KC1 supplementation reduces the blood pressure and usually increases plasma K + concentration [3 11. Additional dietary K + in natural foods also appears to raise plasma K' and lower blood pressure [30, 321. The mechanisms by which the cellular Na+-K+ pump rate influences blood pressure have been reviewed C331. We conclude that larger changes in [K'], lead to more rapid changes in [Na+Ii, which thus can blunt the apparent effect of increased [K'], on the Na+-K+ pump rate when flux is measured over a longer time period. This has sometimes led to underestimations of the Kilz for K + activation of the pump. The most important inference of our study is that changes in plasma K" within the physiological range significantly affect the cellular Na+-K+ pump rate, and this effect, in turn, changes the steady-state [Na+li. This has important physiological consequences, since many secondary active transport processes depend on the electrochemical gradient for Na'. ACKNOWLEDGMENTS The experiments shown in Fig. 2 and Table 1 were performed in the laboratory of V.O. and E.T. in the Department of Medicine, National University Hospital, Singapore, with funding from Research Project No. RP 850054 and the Hypertension Laboratory Fund of the National University of Singapore. The experiments shown in Figs. 1, 3, 4, and 5 were done in the laboratory of L.N. in the Department of Pharmacology at the University of Leicester School of Medicine, with financial support from the British Heart Foundation. G.W. thanks the University of Vermont for granting the sabbatical leave that made this collaboration possible. G. D. Webb et al. 700 REFERENCES I. Shaw TI. Potassium movements in washed erythrocytes. J Physiol (London) 1955; 129 464-75. 2. Glynn IM. Sodium and potassium movements in human red cells. J Physiol (London) 1956; 134: 278-310. 3. Sachs JR, Welt LG. The concentration dependence of active potassium transport in the human red blood cell. 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