A kinetic description for sodium and potassium effects on (Na+ plus K+)-adenosine triphosphatase: a model for a two-nonequivalent site potassium activation and an analysis of multiequivalent site models for sodium activation

Mathematical model reveals role of nucleotide signaling in airway surface liquid homeostasis and its dysregulation in cystic fibrosis

Mucociliary clearance is composed of three components (i.e., mucin secretion, airway surface hydration, and ciliary-activity) which function coordinately to clear inhaled microbes and other foreign particles from airway surfaces. Airway surface hydration is maintained by water fluxes driven predominantly by active chloride and sodium ion transport. The ion channels that mediate electrogenic ion transport are regulated by extracellular purinergic signals that signal through G protein-coupled receptors. These purinoreceptors and the signaling pathways they activate have been identified as possible therapeutic targets for treating lung disease. A systems-level description of airway surface liquid (ASL) homeostasis could accelerate development of such therapies. Accordingly, we developed a mathematical model to describe the dynamic coupling of ion and water transport to extracellular purinergic signaling. We trained our model from steady-state and time-dependent experimental measurements made using normal and cystic fibrosis (CF) cultured human airway epithelium. To reproduce CF conditions, reduced chloride secretion, increased potassium secretion, and increased sodium absorption were required. The model accurately predicted ASL height under basal normal and CF conditions and the collapse of surface hydration due to the accelerated nucleotide metabolism associated with CF exacerbations. Finally, the model predicted a therapeutic strategy to deliver nucleotide receptor agonists to effectively rehydrate the ASL of CF airways.

Biophysical model of ion transport across human respiratory epithelia allows quantification of ion permeabilities

Lung health and normal mucus clearance depend on adequate hydration of airway surfaces. Because transepithelial osmotic gradients drive water flows, sufficient hydration of the airway surface liquid depends on a balance between ion secretion and absorption by respiratory epithelia. In vitro experiments using cultures of primary human nasal epithelia and human bronchial epithelia have established many of the biophysical processes involved in airway surface liquid homeostasis. Most experimental studies, however, have focused on the apical membrane, despite the fact that ion transport across respiratory epithelia involves both cellular and paracellular pathways. In fact, the ion permeabilities of the basolateral membrane and paracellular pathway remain largely unknown. Here we use a biophysical model for water and ion transport to quantify ion permeabilities of all pathways (apical, basolateral, paracellular) in human nasal epithelia cultures using experimental (Ussing Chamber and microelectrode) data reported in the literature. We derive analytical formulas for the steady-state short-circuit current and membrane potential, which are for polarized epithelia the equivalent of the Goldman-Hodgkin-Katz equation for single isolated cells. These relations allow parameter estimation to be performed efficiently. By providing a method to quantify all the ion permeabilities of respiratory epithelia, the model may aid us in understanding the physiology that regulates normal airway surface hydration.

Biophysical model of ion transport across human respiratory epithelia allows quantification of ion permeabilities

Lung health and normal mucus clearance depend on adequate hydration of airway surfaces. Because transepithelial osmotic gradients drive water flows, sufficient hydration of the airway surface liquid depends on a balance between ion secretion and absorption by respiratory epithelia. In vitro experiments using cultures of primary human nasal epithelia and human bronchial epithelia have established many of the biophysical processes involved in airway surface liquid homeostasis. Most experimental studies, however, have focused on the apical membrane, despite the fact that ion transport across respiratory epithelia involves both cellular and paracellular pathways. In fact, the ion permeabilities of the basolateral membrane and paracellular pathway remain largely unknown. Here we use a biophysical model for water and ion transport to quantify ion permeabilities of all pathways (apical, basolateral, paracellular) in human nasal epithelia cultures using experimental (Ussing Chamber and microelectrode) data reported in the literature. We derive analytical formulas for the steady-state short-circuit current and membrane potential, which are for polarized epithelia the equivalent of the Goldman-Hodgkin-Katz equation for single isolated cells. These relations allow parameter estimation to be performed efficiently. By providing a method to quantify all the ion permeabilities of respiratory epithelia, the model may aid us in understanding the physiology that regulates normal airway surface hydration.

Anti-HSV activity of digitoxin and its possible mechanisms

Herpes simplex virus type 1 (HSV-1) can establish latent infection in the nervous system and usually leads to life-threatening diseases in immunocompromised individuals upon reactivation. Treatment with conventional nucleoside analogue such as acyclovir is effective in most cases, but drug-resistance may arise due to prolonged treatment in immunocompromised individuals. In this study, we identified an in-use medication, digitoxin, which actively inhibited HSV-1 replication with a 50% effective concentration (EC(50)) of 0.05 microM. The 50% cytotoxicity concentration (CC(50)) of digitoxin is 10.66 microM and the derived selective index is 213. Several structural analogues of digitoxin such as digoxin, ouabain octahydrate and G-strophanthin also showed anti-HSV activity. The inhibitory effects of digitoxin are likely to be introduced at the early stage of HSV-1 replication and the virus release stage. The observation that digitoxin can inhibit acyclovir-resistant viruses further implicates that digitoxin represents a novel drug class with distinct antiviral mechanisms from traditional drugs.

Mutational analysis of Glu-327 of Na(+)-K(+)-ATPase reveals stimulation of 86Rb+ uptake by external K+

A competition assay of 86Rb+ uptake in HeLa cells transfected with ouabain-resistant Na(+)-K(+)-ATPase mutants revealed a stimulation of 86Rb+ uptake at low external concentrations (1 mM) of competitor (K+). Of the models that were tested, those that require that two K+ be bound before transport occurs gave the worst fits. Random and ordered binding schemes described the data equally well. General models in which both binding and transport were allowed to be cooperative yielded parameter errors larger than the parameters themselves and could not be utilized. Models that assumed noncooperative transport always showed positive cooperativity in binding. E327Q and E327L mutated forms of rat alpha 2 had lower apparent affinities for the first K+ bound than did wild-type rat alpha 2 modified to be ouabain resistant. The mutations did not affect the apparent affinity of the second K+ bound. Models that assumed noncooperativity in binding always showed positively cooperative transport, i.e., enzymes with two K+ bound had a higher flux than those with one K+ bound. Increases in external Na+ decreased the apparent affinity for K+ for all models and decreased the ratio of the apparent influx rate constants for E327L.

Partial Purification of a Na+ -ATPase from the Plasma Membrane of the Marine Alga Heterosigma akashiwo

A Na+ -ATPase was partially purified from plasma membranes of the marine alga Heterosigma akashiwo. The plasma membranes of H. akashiwo cells were collected by differential centrifugation with subsequent discontinuous gradient centrifugation. Na+ -ATPase activity was associated with the resultant plasma membrane fraction and was stimulated to the greatest extent in the presence of 100 to 200 mM Na+, 10 mM K+, and 5 mM Mg2+ ions, pH 8.0. The Km value for Na+ ions was 12.2 mM. An apparent Km value for ATP was 880 [mu]M. A 140-kD phosphorylated intermediate was also detected in the same fraction in the presence of both Mg2+ and Na+ ions, and this protein was dephosphorylated upon the addition of K+ ions. We could partially purify the 140-kD protein after solubilization by Suc monolaurate and fractionation by sequential column chromatography on Sephacryl S-300, DEAE-Sepharose CL-6B, and Mono-Q columns. The purified 140-kD polypeptide could also be phosphorylated and be detected after acid sodium dodecyl sulfate-polyacryl-amide gel electrophoresis in the presence of Na+ and Mg2+ ions.

The reaction sequence of the Na+/K(+)-ATPase: rapid kinetic measurements distinguish between alternative schemes

Conformational changes between E1 and E2 enzyme forms of a dog kidney Na+/K(+)-ATPase preparation labeled with 5-iodoacetamidofluorescein were followed with a stopped-flow fluorimeter, in terms of the rate constant, kobs, and the steady-state magnitude, % delta F of fluorescence change. On rapid mixing of enzyme plus Mg2+ plus Na+ with saturating (0.5 mM) ATP in the absence of K+, kobs varied with Na+ concentration in the range 0-155 mM, with a K1/2 of 10 mM, while % delta F was relatively insensitive to Na+, with a K1/2 of 0.5 mM. Oligomycin reduced kobs by 98-99% for Na+ greater than or equal to 10 mM, but only by 50% for Na+ = 1 mM; % delta F was reduced at most by 20%. At 155 mM Na+, both kobs and % delta F changed if K+ was present with the enzyme. kobs decreased by 50% when K+ was increased from 0 to 0.2 mM, but increased when K+ was varied in the range 0.2-5 mM. K+ increased % delta F by a factor of 3 with a K1/2 of 0.3-0.5 mM as measured in both stopped-flow and steady-state experiments. These data are considered in terms of the derived presteady-state equations for two alternate schemes for the enzyme, with the E1P to E2P conformational change either preceding (Albers-Post) or following (Nørby-Yoda-Skou) Na+ transport and release. The analysis indicates that: (i) Na+ must be released before the conformational transition, from an E1 form; (ii) the step in which the second and/or third Na+ is released is rate-limiting, but this release is accelerated by Na+; and (iii) the release is also accelerated by K+ acting with low affinity (possibly at extracellular sites).

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.

Electrogenic sodium-calcium exchange in cultured embryonic chick heart cells

1. The membrane potential (Em) of cultured chick embryonic heart cells depolarized to -36 mV after inhibition of the Na+-K+ pump by 0.1 mM-ouabain in a [K+]o of 24 mM: this was accompanied by a rise in Na+ content of approximately 65% in 3 min. Lowering [Na+]o to 27 mM then caused a fall in Na+ content, a rise in Ca2+ content and a small hyperpolarization of approximately 5 mV. The fall in Na+ content indicated a movement of Na+ which was in the opposite direction to the Na+ electrochemical gradient (a countergradient movement). 2. In the presence of 10 mM-Cs+ or 1 mM-Ba2+ the hyperpolarization was approximately 10 or approximately 30 mV, respectively. A 30 mV hyperpolarization took Em negative to the reversal potentials for K+, and Cl- as measured by ion-selective micro-electrodes. 3. The decay of the intracellular Na+ activity alpha iNa, in an [Na+]o of 27 mM followed a simple exponential time course (time constant, 36 s). The initial rate depended on the value to which [Na+]o was lowered in a manner suggesting a simple competitive inhibition of the exchange by external Na+. 4. The low-[Na+]o hyperpolarization was unaffected by amiloride (0.1 or 1 mM) or verapamil (20 microM). Both La3+ (1 mM) and Mn2+ (20 mM) blocked the hyperpolarization sufficiently to prevent Em hyperpolarizing negative to the reversal potentials for K+, Na+ and Cl-. 5. Re-establishing [Na+]o caused a rise in Na+ content and a countergradient drop in Ca2+ content. The effects of verapamil (20 microM), amiloride (0.1 and 1 mM), dichlorobenzamil (0.1 mM), quinidine (1 mM), Mn2+ (20 mM) and La3+ (1 mM) were tested on the movements of Na+ and Ca2+ both during exposure to an [Na+]o of 27 mM and on re-establishing [Na+]o. The only consistent and substantial effects were the attenuation by La3+ and Mn2+ and Ca2+ movements during exposure to an [Na+]o of 27 mM. However, neither La3+ nor Mn2+ affected the movements of Na+ and Ca2+ on re-establishing [Na+]o. 6. We conclude that cultured embryonic chick heart cells contain a Na+-Ca2+ exchange evidenced by the ability to cause movements of Na+ and Ca2+ which are counter to their respective electrochemical gradient and which are accompanied by downhill movements of the counter ion.(ABSTRACT TRUNCATED AT 400 WORDS)

Kinetics of (Na+ + K+)-ATPase: analysis of the influence of Na+ and K+ by steady-state kinetics

The influence of Na+ and K+ on the steady-state kinetics at 37 degrees C of (Na+ + K+)-ATPase was investigated. From an analysis of the dependence of slopes and intercepts (from double-reciprocal plots or from Hanes plots) of the primary data on Na+ and K+ concentrations a detailed model for the interaction of the cations with the individual steps in the mechanism may be inferred and a set of intrinsic (i.e. cation independent) rate constants and cation dissociation constants are obtained. A comparison of the rate constants with those obtained from an analogous analysis of Na+-ATPase kinetics (preceding paper) provides evidence that the ATP hydrolysis proceeds through a series of intermediates, all of which are kinetically different from those responsible for the Na+-ATPase activity. The complete model for the enzyme thus involves two distinct, but doubly connected, hydrolysis cycles. The model derived for (Na+ + K+)-ATPase has the following properties: The empty, substrate free, enzyme form is the K+-bound form E2K. Na+ (Kd = 9 mM) and MgATP (Kd = 0.48 mM), in that order, must be bound to it in order to effect K+ release. Thus Na+ and K+ are simultaneously present on the enzyme in part of the reaction cycle. Each enzyme unit has three equivalent and independent Na+ sites. K+ binding to high-affinity sites (Kd = 1.4 mM) on the presumed phosphorylated intermediate is preceded by release of Na+ from low-affinity sites (Kd = 430 mM). The stoichiometry is variable, and may be Na:K:ATP = 3:2:1. To the extent that the transport properties of the enzyme are reflected in the kinetic ATPase model, these properties are in accord with one of the models shown by Sachs ((1980) J. Physiol. 302, 219-240) to give a quantitative fit of transport data for red blood cells.

Kinetics of Na+-ATPase: influence of Na+ and K+ on substrate binding and hydrolysis

An analysis of the influence of Na+ and K+ on the kinetics of Na+-ATPase in broken membrane preparations from bovine brain is presented with particular emphasis on the effect of the cations on the binding and splitting of the substrate MgATP and on the derivation of a detailed kinetic model for that interaction. It was found that the enzyme in the absence of Na+ and K+, but in the presence of 7 mM free Mg2+, at pH 7.4 (37 degrees C) exhibits an ouabain-sensitive ATPase activity. The simplest model quantitatively compatible with all the data involves two different, interconvertible (conformational) forms of the enzyme, E1 and E'1, with the following properties: The E1 form does not bind K+ but has three independent and equivalent high-affinity sites (Kd = 5.6 mM) for Na+. It binds and hydrolyzes substrate only when two or three sodium ions are bound to it. The E'1 form binds and hydrolyzes the substrate only in the absence of monovalent cations. It is competitively inhibited by K+ (Kd = 0.23 mM), and this inhibition is further enhanced by binding of Na+ to the K+-bound form at two equivalent, independent sites (Kd = 12 mM). It is suggested that the E'1 form is the Mg2+-induced conformational state of the enzyme observed by others, which differs from the usually encountered E1 and E2 forms. The model allows the calculation of ATP-binding and ADP-releasing rate constants for the E1-form for later comparison with corresponding rate constants for the (na+ + K+)-ATPase (following paper).

Race and sex differences in erythrocyte Na+, K+, and Na+-K+-adenosine triphosphatase

Several reports indicate that erythrocytes (RBCs) from blacks and men have higher sodium concentrations than those from whites and women. One possible mechanism to explain this finding is a difference in the activity of Na+-K+-ATPase. To explore this possibility, we have studied the Na+ and K+ kinetics of RBC Na+-K+-ATPase and RBC Na+ and K+ concentrations in 37 normotensive blacks and whites, both males and females. The maximal initial reaction velocity (Vmax) values for RBC Na+-K+-ATPase were lower in blacks and men as compared with whites and women. Higher RBC Na+ levels were observed in blacks and males vs. whites and females. Significant inverse correlations were noted between the Na+-K+-ATPase activity and RBC Na+ concentrations. These findings indicate that cellular Na+ homeostasis is different in blacks and men as compared with whites and women. Since higher RBC Na+ concentrations have also been observed in patients with essential hypertension as compared with normotensive subjects, the higher intracellular Na+ concentrations in blacks and men may contribute to the greater predisposition of these groups to essential hypertension.

Kinetic parameters and mechanism of active cation transport in HeLa cells as studied by Rb+ influx

On incubation of HeLa cells in chilled isotonic medium, intracellular Na+ (Nac+) increased and K+ (Kc+) decreased with time, reaching steady levels after 3 h. The steady levels varied in parallel with the extracellular cation concentrations ([Na+]e, [K+]e). The cell volumes and the protein and water contents, respectively, of cells kept for 3 h in chilled media of various [Na+]e and [K+]e were not significantly different. Ouabain-sensitive Rb+ influx took place at the initial rate for a certain period which depended on [Na+]c at the beginning of the assays. The existence of two external K+ loading sites per Na+/K+-pump was demonstrated. The affinities of the sites for Rb+ as a congener of K+ were almost the same. Na+e inhibited ouabain-sensitive Rb+ influx competitively, whereas K+ was not inhibitory. Kinetic parameters were determined: the K 1/2 for Rbe+ in the absence of Na+e was 0.16 mM and th Ki for Na+e was 36.8 mM; the K 1/2 for Na+c was 19.5 mM and the Ki for K+c seemed to be extremely large. The rate equation of the ouabain-sensitive Rb+ influx suggests that Na+ and K+ are exchanged alternately through the pump by a binary mechanism.

Relationship between peritubular membrane potential and net fluid reabsorption in the distal renal tubule of Amphiuma

Amphiuma kidneys were isolated and perfused with modified Ringer solution and peritubular and transepithelial membrane potentials (p.d.s) in distal tubules measured with micro-electrodes during rapid changes of luminal electrolyte concentrations. Peritubular membrane potential and net fluid reabsorption (split-oil-droplet method) were also measured with and without application of various drugs known to alter transport. Raising the luminal sodium concentration from 10 to 100 mM reversibly increased the peritubular p.d. The magnitude of the peritubular p.d. was a saturable function of luminal sodium concentration. In the presence of chloride in the lumen the peritubular hyperpolarization following increased luminal sodium could be inhibited by luminal amiloride (10(-4)M). Sodium-induced hyperpolarization of the peritubular p.d. could be completely inhibited by 10(-5)M-ouabain. Adding amiloride (10(-4)M) to the luminal fluid rapidly and reversibly depolarized the peritubular p.d. and inhibited fluid reabsorption. Addition of amphotericin B (20 micrograms/ml) to the luminal perfusion solution had no effect on peritubular p.d. at 100 mM-luminal NaCl but at 10 mM-NaCl, peritubular p.d. hyperpolarized. Fluid reabsorption was stimulated (with 100 mM-NaCl in the lumen). Addition of amphotericin when the tubule was perfused on both sides with solutions containing a constant potassium concentration of 78 mM and a variable sodium concentration ranging from 7.8 to 34.5 mM revealed strong dependence of the peritubular hyperpolarization on the sodium concentration. Luminal furosemide (10(-4)M) and chlorothiazide (10(-4)M) and peritubular ethacrynic acid (10(-4)M) all reduced fluid reabsorption but hyperpolarized the peritubular p.d. The data suggest the presence of an electrogenic sodium transport process in the peritubular membrane that directly contributes to the generation of the peritubular potential. In addition, chloride transport has an important role in determining this potential.

Activation of electrogenic Na-Ca exchange by light in fly photoreceptors

Illumination of white-eyed Musca photoreceptors following hypoxia or the application of ruthenium red (RR, a known blocker of Ca2+ uptake into intracellular organelles) induced a transient after depolarization (TA). The TA was enhanced when external [Ca2+] was reduced; it was abolished when external [Na+] was reduced to a level that affected the receptor potential to a small degree. The TA was enhanced or depressed when the activity of Na/K pump, which controls the Na+ gradient, was enhanced or depressed respectively. This effect was observed even when the receptor potential was not affected. All of the above observations are consistent with the hypothesis that the TA is triggered by a light-induced increase in the concentration of intracellular free Ca2+ which appear to be very high, following treatments with hypoxia or RR. The high sensitivity of the TA to Na+ and Ca2+ gradients across the photoreceptors membrane strongly suggests that the TA is due to a transient activation of an electrogenic Na-Ca exchange mechanism which depolarizes the cell.

Effects of polyamines on partial reactions of membrane (Na+ + K+)-ATPase

Spermine and spermidine inhibit the (Na+ + K+)-ATPase (ATP phosphohydrolase, EC 3.6.1.3) reaction so that the effect increases as the ionic content due to Na+ and K+ in the reaction is reduced. Several other amines inhibit (Na+ + K+)-ATPase to varying degress and methylglyoxal-bis-(guanylhydrazone) was the most potent inhibitor among those tested. The inhibition by polyamines of the ATPase is uncompetitive with respect to Mg2+ and ATP activation of the reaction. Various naturally occurring polyamines and other amines inhibited Na+ activation of (Na+ + K+)-ATPase as well as Na+-dependent phosphoenzyme formation in an apparently competitive manner with respect to Na+. Likewise, K+-activation of (Na+ + K+)-ATPase as well as K+-p-nitrophenyl phosphatase was inhibited in an apparently competitive manner with respect to K+. Both the cation charge and structure (e.g., aliphatic chain length) may contribute to the inhibitory effects of the amines; however, Na+ sites appear to be more sensitive to cation charge than the aliphatic chain length of the amine, whereas the opposite appears to be true for K+ sites. The results do not indicate a specific effect of polyamines on (Na+ + K+)-ATPase or its partial reactions.

Modulation of ouabain binding and potassium pump fluxes by cellular sodium and potassium in human and sheep erythrocytes

1. Erythrocytes were treated with nystatin to alter internal Na (Nai) and K (Ki) composition. Although the rates of K pumping and [3H]ouabain binding were altered dramatically, the relationship between glycoside binding and K pump inhibition was unaffected. 2. Human cells with high Nai and low Ki exhibited an increased rate of ouabain binding as compared to high Ki, low Nai cells; this paralleled the stimulated K pump activity of high Nai cells. 3. At constant Ki, increasing internal Na stimulated K pump and ouabain binding rates concomitantly. 4. At low Nai, increasing Ki inhibited both K pumping and ouabain binding. However, at high Nai, increasing Ki from 4 to 44 mM stimulated the rate of glycoside binding, parallel to its effect of increasing the rate of active K influx. 5. Anti-L, an isoantibody to low K (LK) sheep red cells, increased the rate of ouabain binding via its stimulation of K pump turnover. Since the latter effect is the result of affinity changes at the internal cation activation site(s) of the pump (Lauf, Rasmusen, Hoffman, Dunham, Cook, Parmelee & Tosteson, 1970), the antibody's effect on ouabain binding reflected the positive correlation between the rates of K pump turnover and glycoside binding. 6. These data provide the first evidence in intact cells for the occurrence of a Nai-induced conformational change in the Na/K pump during its normal operational cycle.

Basolateral membrane potential of a tight epithelium: ionic diffusion and electrogenic pumps

The contribution of specific ions to the conductance and potential of the basolateral membrane of the rabbit urinary bladder has been studied with both conventional and ion-specific microelectrode techniques. In addition, the possibility of an electrogenic active transport process located at the basolateral membrane was studied using the polyene antibiotic nystatin. The effect of ion-specific microelectrode impalement damage on intracellular ion activities was examined and a criterion set for acceptance or rejection of intracellular activity measurements. Using this criterion, we found (K+) = 72 mM and (Cl-) = 15.8 mM. Cl- but not K+ was in electrochemical equilibrium across the basolateral membrane. The selective permeability of the basolateral membrane was measured using microelectrodes, and the data analyzed using the Goldman, Hodgkin-Katz equation. The sodium to potassium permeability ratio (PNa/PK) was 0.044, and the chloride to potassium permeability ratio (PCl/PK) was 1.17. Since K+ was not in electrochemical equilibrium, intracellular (K+) is maintained by active metabolic processes, and the basolateral membrane potential is a diffusion potential with K+and C1- the most permeable ions. After depolarizing the basolateral membrane with high serosal potassium bathing solutions and eliminating the apical membrane as a rate limiting step for ion movement using the polyene antibiotic nystatin, we found that the addition of equal aliquots of NaCl to both solutions caused the basolateral membrane potential to hyperpolarize by up to 20mV (cell interior negative). This potential was reduced by 80% within 3 min of the addition of ouabain to the serosal solution. This hyperpolarization most probably represents a ouabain sensitive active transport process sensitive to intracellular Na+. An equivalent electrical circuit for Na+ transport across rabbit urinary bladder is derived, tested, and compared to previous results. This circuit is also used to predict the effects that microelectrode impalement damage will have on individual membrane potentials as well as time-dependent phenomena; e.g., effect of amiloride on apical and basolateral membrane potentials.

Isoquinoline alkaloids. Inhibitory actions on cation-dependent ATP-phosphohydrolases

Representatives of eleven different classes of isoquinoline alkaloids inhibit Na+, K+-ATPase and Mg2+-ATPase in rat brain microsomal preparations. In most cases the Na+, K+-ATPase is more sensitive than Mg2+-ATPase to inhibition by the alkaloids. The classes of alkaloids can be ranked according to potency of inhibition of Na+, K+-ATPase. Protoberberines are most effective, followed in decreasing order by benzophenanthridines, benzylisoquinolines, aporphines, tetrahydroprotoberberines, pavines, protopines, isoquinolines, tetrahydrobenzylisoquinolines, morphinanes, and tetrahydroisoquinolines. As specific representatives of each of the first four classes of alkaloids, berberine, sanguinarine, papaveroline and 1,2,10,11-tetrahydroxyaporphine, respectively, prove most valuable in kinetic studies because they exhibit the greatest inhibitory action on brain Na+, K+-ATPase. Kinetic analyses plotted in double reciprocal form reveal that berberine and 1,2,10,11-tetrahydroxyaporphine are simple linear competitive inhibitors with respect to ATP, whereas sanguinarine and papaveroline are simple linear noncompetitive inhibitors. These four representative alkaloids exhibit non-linear competitive inhibition with respect to Na+-activation. Additionally, these alkaloids significantly inhibit rat brain microsomal K+-activated pNPPase. The results demonstrate that certain members of several classes of isoquinoline alkaloids markedly affect various cation-dependent phosphohydrolases in vitro.

Influence of pH and sodium on the inhibition of guinea-pig heart (Na+ + K+)-ATPase by calcium

The inhibition of guinea-pig heart (Na+ + K+)-ATPase (ATP phosphohydrolase EC 3.6.1.3) by calcium has been studied at pH 7.4, 6.8 and 6.4. 1. A decrease in pH reduced the threshold inhibitory concentration of calcium and the calcium concentration producing an inhibition of 50% of the enzyme activity. 2. Calcium reduced the apparent affinity of the enzyme of Na+, this effect occurred only at pH 7.4. 3. Calcium increased the apparent affinity of the enzyme for K+, this effect was enhanced at acidic pH. 4. Activation of the enzyme by Na+ for a constant Na+ : K+ ratio has been studied at pH 7.4 and at pH 6.8 in the absence and in the presence of 3.10(-4) M Ca 2+; the results of this experiment indicate that Ca2+ effect at pH 7.4 was not influenced by Na+ -- K+ competition and was probably due to a Na+ -- Ca2+ interaction. 5. At pH 7.4, the calcium inhibitory threshold concentration and the concentration producing 50% inhibition were reduced when Na+ was low; at pH 6.8, the calcium inhibition was not markedly modified by the change of Na+ concentration. 6. The Ca2+ -activated ATPase of myosin B which is related to the contractile behaviour of muscle and the Ca2+ -ATPase of the sarcoplasmic reticulum which is related to the ability of this structure to accumulate calcium were activated in a range of calcium concentration producing an inhibition of (Na2+ + K+) -ATPase. The present results indicate that the increase by acidity of the (Na2+ + K+) -ATPase sensitivity to calcium might be due to a suppression of a Na+ -Ca2+ interaction. On the basis of these observations, it is proposed that calcium might inhibit the Na+ -pump during the repolarization phase of the action potential and that, by this effect, it might control cell excitability.

Renal Na-K-ATPase activity during saline infusion in the rabbit

During saline infusion, sodium reabsorption (RNa) in the diluting segment (thick ascending limb of Henle's loop) increases acutely. The mechanism for this higher pumping rate of outer medullary Na-K-ATPase is unknown. Following left-sided nephrectomy, immediate i.v. infusion of hypertonic saline increased RNa in the remaining whole right kidney by 28 +/- 14% (p less than 0.05). Na-K-ATPase activity in outer medulla was raised by (delta) 23 +/- 4% above the left kidney (p less than 0.05), whereas cortical activity was unchanged. The mechanism for this increase in Na-K-ATPase activity was explored. The catalytic rate per enzyme did not differ in the two kidneys and equalled 5 340 min-1. The increase was therefore due to higher tissue concentration of active enzyme. The response was fully developed during continuous infusion within 20 min, and of equal magnitude whether protein synthesis had been inhibited by cycloheximide (delta = 23 +/- 7%) or stimulated by unilateral nephrectomy 6 days earlier combined with saline infusion for 2 h (delta = 34 +/- 10%). Thus, during hypertonic saline infusion, the increased RNa in the outer medulla was partly accounted for by the activation of latent Na-K-ATPase. High delivery of sodium to the diluting segment for more than 20 min during hypertrophy caused no further activity change.

A possible molecular mechanism of the action of digitalis: ouabain action on calcium binding to sites associated with a purified sodium-potassium-activated adenosine triphosphatase from kidney

Calcium binding at 0 degrees C to a purified sheep kidney Na+,K+-ATPase was described by linear Scatchard plots. Binding at saturating free calcium was 65-80 nmol/mg of protein, or 30-40 mol of calcium/mol of enzyme. Aqueous emulsions of lipids extracted from Na+,K+-ATPase yielded dissociation constants and maximum calcium-binding values that were similar to those for native Na+,K+-ATPase. Phospholipase A treatment markedly reduced calcium binding. Pretreatment of native Na+,K+-ATPase with ouabain increased the dissociation constant for calcium binding from 131 +/- 7 to 192 +/- 7 muM without altering maximum calcium binding. Ouabain pretreatment did not affect calcium binding to extracted phospholipids, ouabain-insensitive ATPases, or heat denatured Na+,K+-ATPase, Na+ and K+ (5-20 mM) increased the dissociation constants for calcium, which suggests competition between the monovalent cations and calcium for the binding sites. At higher concentrations of monovalent cations, ouabain increased the apparent affinity of binding sites for calcium. Extrapolation to physiological cation concentrations revealed that the ouabain-induced increase in apparent affinity for calcium may be as much as 2- to 3-fold. These results suggest: (1) calcium binds to phospholipids associated with Na+,K+-ATPase; (2) ouabain interaction with Na+,K+-ATPase induces a perturbation that is transmitted to adjacent phospholipids, altering their affinity for calcium; and (3) at physiological concentrations of Na+ or K+, or both, ouabain interaction with Na+,K+-ATPase may lead to an increased pool of membrane-bound calcium.

Kinetics of the inhibition of the Na-K pump by external sodium

1. When the ouabain-sensitive K influx or the ouabain-sensitive Cs influx is measured as a function of the extracellular concentration of K or Cs in Na-free solutions the resulting saturation curve at first rises more rapidly than a rectangular hyperbola, i.e. the curve is antisigmoid. 2. If the ouabain-sensitive K influx or the ouabain-sensitive Cs influx is measured in Na-free solutions at a fixed low concentration of K or Cs and at varying concentrations of Li, the influx decreases monotonically as the Li concentration rises and there is no evidence of competitive activation. 3. These findings can be accounted for by a model which proposes that there are two binding sites for K or Cs and that both the singly loaded and doubly loaded pump is capable of transport. 4. Extracellular Na changes the shape of both the K and the Cs saturation curve from antisigmoid to sigmoid. Dixon plots (1/ouabain-sensitive influx versus Na concentration at fixed K or Cs concentration) are linear at intermediate concentrations of K or Cs. 5. Na does not change the rate of K influx if the measurements are made at nearly saturating K concentrations using cells with nearly saturating internal Na concentrations. The effect of outside Na cannot therefore be explained by any mechanism which requires that Na alter the Vmax of the pump. 6. Measurement of the ouabain-sensitive Cs influx as a function of the external Cs concentration in solutions with different fixed Na concentrations results in curves which change from antisigmoid in Na-free solutions to sigmoid as the Na concentration rises. Dixon plots are linear at all but the lowest and highest Cs concentrations. 7. The resulting curves are best fit by equations which result from a model which proposes that Na acts both as a dead-end competitive inhibitor and as a heterotropic allosteric effector. Simpler models which propose either that Na acts solely as a dead-end competitive inhibitor or as a heterotropic allosteric effector do not fit as well as the more complicated model. 8. The combined competitive inhibition and allosteric effector model also describes adequately the relation between the ouabain-sensitive K influx and external K concentration measured at different external Na concentrations.

(Na+, K+)-activated adenosinetriphosphatase of axonal membranes, cooperativity and control. Steady-state analysis

1. The ATP sites. Homotropic interactions between ATP sites have been studied in a very large range of Na+ and K+ concentrations. The ( Na+, K+)-activated ATPase displays Michaelis-Menten kinetics for ATP under standard concentration conditions of Na+ (100 mM) and K+ (10 mM). The steady-state kinetics behavior changes at very low concentrations of K+ where negative cooperativity is observed. The existence of a high affinity and a low affinity site for ATP was clearly demonstrated from the study of the ATP stimulated hydrolysis of p-nitrophenylphosphate in the presence of Na+ and K+. The ratio of apparent affinities of high and low affinity sites for ATP is 86 at pH 7.5. 2. The Na+ sites. The binding of Na+ to its specific stimulatory sites (internal sites) is characterized by positive cooperativity with a Hill coefficient n(H(Na+))=2.0. Homotropic interactions between Na+ sites are unaffected by variations of the K+ concentration. 3. The K+ sites. (a) Binding of K+ to the (external) stimulatory site of the ATPase has been analyzed by following the (Na+, K+)-ATPase activity as well as the p-nitrophenylphosphatase activity in the presence of Na+ and K+ (with or without ATP). Binding is characterized by a Hill coefficient of 1.0 and a K(0.5(K+))=0.1 to 0.8 mM. The absence of positive or negative cooperativity persists between 5 mM and 100 mM Na+. (b) The analysis of the p-nitrophenylphosphatase or of the 2, 4 dinitrophenylphosphatase activity in the presence of K+ alone indicates the existence of low affinity sites for K+ with positive homotropic interactions. The characteristics of stimulation in that case are, K(0.5)=5 mM, n(H)=1.9. The properties of this family of site(s) are the following: firstly, saturation of the low affinity site(s) by K+ prevents ATP binding to its high affinity internal site. Secondly, saturation of the low affinity sites for K+ prevents binding of Na+ to its internal sites. Thirdly, this family of sites disappears in the presence of ATP, p-nitrophenylphosphate or of both substrates, when Na+ binds to its internal sites. Na+ binding to its specific stimulatory sites provokes the formation of the high affinity type of site for K+. 4. Mg2+ stimulation of the (Na+, K+)-ATPase is characterized by a Hill coefficient n(H(Mg2+))=1.0 and a K(0.5(Mg2+))=1 mM stimulation is essentially a V effect. Heterotropic effects between binding of Mg2+ and substrate to their respective sites are small. Heterotropic interactions between the Ms2+, Na+ and K+ sites are also small. 5. The fluidity of membrane lipids also controls the (Na+, K+)-ATPase activity. Phase transitions or separations in the membrane hardly affect recognition properties of substrates, Na+, K+ and Mg2+ for their respective sites on both sides of the membrane. Only the rate of the catalytic transformation is affected.

Na+-dependent phosphorylation of the rat brain (Na+ + K+)-ATPase. Possible non-equivalent activation sites for Na+

The steady state levels of Na+-dependent phosphoenzyme (E-P) in the (Na+ + K+)-ATPase (EC 3.6.1.3) of rat brain, obtained from a time course study of phosphoenzyme formation at 4 degrees C, were dependent on the concentration of Na+ in the reaction and were maximal in the presence of 64 mM Na+. The plot of phosphoenzyme vs. Na+ concentration gave a curve which on conversion to a double reciprocal plot (1/E-P vs. 1/Na+) gave a line with two breaks, yielding apparently three linear segments. This may be taken to indicate the presence of multiple Na+ sites for the formation of the phosphoenzyme. To test this hypothesis further, the following approach was taken. By making the assumption that the phosphoenzyme may represent bound Na+, it was possible to subject the data to rigorous multiple-site analysis by utilizing steady-state binding equations described by Klotz and Hunston (1971) (Biochemistry 10, 3065-3069), and by Scatchard (1949) (Ann. N.Y. Acad. Sci. 51, 660-672). The analysis of the data by these methods suggests that there may be three non-equivalent Na+ activation sites for the formation of Na+-dependent phosphoenzyme in the (Na+ + K+)-ATPase. The estimated intrinsic association constants (Ka) for activation by Na+ at each of the three sites were 3.4, 0.295, and 0.025 mM-1, respectively.