The steady-state kinetic mechanism of ATP hydrolysis catalyzed by membrane-bound (Na+ + K+)-ATPase from ox brain. I. Substrate identity

A detailed steady-state kinetic investigation of the hydrolysis of ATP catalyzed by (Na+ + K+)-ATPase is reported. The activity was studied in the presence of (i) Na+ (130 mM), K+ (20 mM) and micromolar ATP concentrations and Na+ (150 mM) the ('Na+-enzyme'). The data obtained lead to the following results: 1. The action of each enzyme may be described by a simple kinetic mechanism with one (Na+-enzyme) or two ((Na+ + K+)-enzyme) dead-end Mg complexes. 2. For both enzymes, both MgATP and free ATP are substrates, with Mg2+, in the latter case, as the second substrate. 3. For each enzyme, the complete set of kinetic constants (seven for the Na+-enzyme, eight for the (Na+ + K+)-enzyme) are determined from the data. 4. For each enzyme it is shown that, in the alternate substrate mechanism obtained, the ratio of net steady-state flux along the 'MgATP pathway' to that of the 'ATP-Mg pathway' increases linearly with the concentration of free Mg2+. The parameters of this function are determined from the data. As a result of this, at high (greater than 3 mM) free Mg2+ concentrations the alternate substrate mechanism degenerates into a 'limiting' kinetic mechanism, with MgATP as the (essentially) sole substrate, and Mg2+ as an uncompetitive (Na+-enzyme) or non-competitive ((Na+ + K+)-enzyme) inhibitor.     

The steady-state kinetic mechanism of ATP hydrolysis catalyzed by membrane-bound (Na+ + K+)-ATPase from ox brain. III. A minimal model

A steady-state kinetic investigation of the effect of K+ on the Na+-enzyme activity of the (Na+ + K+)-ATPase in broken membrane preparations is reported. Analysis of the kinetic patterns obtained, together with the results reported in the first two articles of this series permit the following conclusions. 1. K+ inhibits the Na+-enzyme (the enzyme activity measured at micromolar substrate concentrations in the presence of Na+). The inhibition of non-competitive at low and competitive at higher K+ concentrations and is enhanced by free Mg2+. 2. The results indicate that the Na+-enzyme at steady-state tends to be accumulated in an enzyme-potassium complex when K+ is added. 3. The enzyme-potassium complex, in turn, binds Mg2+ in a dead-end fashion. The dissociation constant for the enzyme-K-Mg complex, estimated from the data, is 7.2 mM. The same value was obtained earlier for the Mg2+ inhibition constant of the substrate-free form of the (Na+ + K+)-enzyme (the enzyme activity measured with Na+ and K+ and at millimolar substrate concentrations) suggesting that the two constants describe the same equilibrium. 4. On the basis of the known (optimal) activity of the (Na+ + K+)-ATPase, relative to that of the Na+-ATPase, a rate constant condition is found which must be met if the Post-Albers kinetic scheme is to satisfy the data. Kinetic data for the phosphoenzyme indicate that this condition is not satisfied. 5. On the basis of the kinetic results a model for the hydrolytic action of (Na+ + K+)-ATPase is proposed. This model encompasses the Post-Albers scheme but contains two distinctive hydrolysis cycles (an 'Na+-enzyme cycle' and a '(Na+ + K+)-enzyme cycle') with widely different affinities for the substrates. Only one of the cycles (the Na+-enzyme cycle) involves acid-stable phosphorylated enzyme intermediates at discernible steady-state concentrations. Which of the two main cycles is predominant in any particular system is determined by the concentration of ligands and substrates. 6. According to this scheme, an enzyme preparation may exhibit both a high (Na+-enzyme) and a low ((Na+ + K+)-enzyme) substrate affinity, without the necessity of assigning more than one substrate site to a particular enzyme unit at any one time.     

The steady-state kinetic mechanism of ATP hydrolysis catalyzed by membrane-bound (Na+ + K+)-ATPase from ox brain IV. Rate constant determination

The expressions for the kinetic constants corresponding to the steady state model for hydrolysis of ATP catalyzed by (Na⁺ + K⁺)-ATPase proposed recently are analyzed with the object of determining the rate constants. The theoretical background for the necessary procedures is described. The results of this analysis are: (1) A small class (four) of rate constants are determined directly by the previously published values of the kinetic constants. (2) For a somewhat larger class of rate constants upper and lower bounds may be established. For several rate constants the upper and lower bounds differ by less than a factor 1.6 (for the ‘(Na⁺ + K⁺)-enzyme’, i.e. the enzyme activity with K⁺ and millimolar substrate concentration) and 1.2 (for the ‘Na⁺-enzyme’, i.e. the activity at micromolar substrate concentrations). (3) Experiments on inhibition by K⁺ of the Na⁺-enzyme at various Mg²⁺ concentrations are reported and analyzed. With the additional assumption that the rate constants governing the addition to ATP of Mg²⁺ is independent of whether or not ATP is bound to an enzyme molecule, a set of consistent values for all the 23 rate constants in the mechanism may be obtained. (4) The values of some rate constants lend further support to the contention discussed in a previous paper that the enzyme hydrolyzes ATP along two kinetically distinct pathways, depending on the presence of K⁺ and on the concentration of substrate, without the necessity of having more than one active substrate site per enzyme unit at any time. (5) The results show that while the two enzyme forms, the ‘Na⁺-enzyme’ E₁ and the “K⁺-enzyme” E₂K, add substrate with (second order) rate constants of the same order of magnitude (differing only by a factor of four in favor of the former), the rate constants for the reverse processes differ by a factor of 100, being largest for the K⁺-enzyme. This is the main reason for the large difference in the Michaelis constants for the two forms reported previously. (6) Compatibility of the model with the well-known rapid dephosphorylation of the phosphorylated enzyme in the presence of K⁺ requires the presence, at non-zero steady state concentration, of an enzyme-potassium-phosphate intermediate, which is acid labile and is therefore not detected as a phosphorylated enzyme using conventional methods.     

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.     

Some total and partial reactions of Na+/K+-ATPase using ATP and acetyl phosphate as a substrate

Acetyl phosphate, as a substrate of (Na+ + K+)-ATPase, was further characterized by comparing its effects with those of ATP on some total and partial reactions carried out by the enzyme. In the absence of Mg2+ acetyl phosphate could not induce disocclusion (release) of Rb+ from E2(Rb); nor did it affect the acceleration of Rb+ release by non-limiting concentrations of ADP. In K+-free solutions and at pH 7.4 sodium ions were essential for ATP hydrolysis by (Na+ + K+)-ATPase; when acetyl phosphate was the substrate a hydrolysis (inhibited by ouabain) was observed in the presence and absence of Na+. In liposomes with (Na+ + K+)-ATPase incorporated and exposed to extravesicular (intracellular) Na+, acetyl phosphate could sustain a ouabain-sensitive Rb+ efflux; the levels of that flux were similar to those obtained with micromolar concentrations of ATP. When the liposomes were incubated in the absence of extravesicular Na+ a ouabain-sensitive Rb+ efflux could not be detected with either substrate. Native (Na+ + K+)-ATPase was phosphorylated at 0 degrees C in the presence of NaCl (50 mM for ATP and 10 mM for acetyl phosphate); after phosphorylation had been stopped by simultaneous addition of excess trans-1,2-diaminocyclohexane-N,N,N',N' tetraacetic acid and 1 M NaCl net synthesis of ATP by addition of ADP was obtained with both phosphoenzymes. The present results show that acetyl phosphate can fuel the overall cycle of cation translocation by (Na+ + K+)-ATPase acting only at the catalytic substrate site; this takes place via the formation of phosphorylated intermediates which can lead to ATP synthesis in a way which is indistinguishable from that obtained with ATP.     

Distinction between the intermediates in Na+-ATPase and Na+,K+-ATPase reactions. II. Exchange and hydrolysis kinetics at micromolar nucleotide concentrations

The ATP hydrolysis rate and the ADP-ATP exchange rate of (Na+ + K+)-ATPase from ox brain were measured at 10 microM Mg2+free and at micromolar concentrations of free ATP and ADP. (1) In the absence of K+, substrate inhibition of the hydrolysis rate was observed. It disappeared at low Na+ and diminished at increasing concentrations of ADP. This was interpreted in terms of free ATP binding to E1P. In support of this interpretation, free ATP was found to competitively inhibit ADP-ATP exchange. (2) In the presence of K+, substrate activation of the hydrolysis rate was observed. Increasing (microM) concentrations of ADP did not give rise to competitive inhibition in contrast to the situation in the absence of K+ (cf. 1, above). This was interpreted to show that at micromolar substrate, some low-affinity, high-turnover Na+ + K+ activity is possible, provided the Mg2+ concentration is low. (3) While small concentrations of K+ increased the hydrolysis rate (cf. 2) they decreased the rate of ADP-ATP exchange. To elucidate this phenomenon, parallel measurements of exchange and hydrolysis rates were performed over a wide range of ATP and ADP concentrations, with and without K+. If, in the presence and absence of K+, ADP (and ATP competing) are binding to the same phosphorylated intermediate for the backward reaction, it places quantitative restrictions on the ratio of rate constants with and without K+. The results did not conform to these restrictions, and the discrepancy is taken as evidence for the necessity for a bicyclic scheme for the action of the (Na+ + K+)-ATPase. (4) An earlier statement concerning the nature of the phosphoenzyme obtained in the presence of Na+ and K+ is amended.     

Ligand-dependent reactivity of (Na+ + K+)-ATPase with showdomycin

Showdomycin inhibited pig brain (Na+ + K+)-ATPase with pseudo first-order kinetics. The rate of inhibition by showdomycin was examined in the presence of 16 combinations of four ligands, i.e., Na+, K+, Mg2+ and ATP, and was found to depend on the ligands added. Combinations of ligands were divided into five groups in terms of the magnitude of the rate constant; in the order of decreasing rate constants these were: (1) Na+ + Mg2+ + ATP, (2) Mg2+, Mg2+ + K+, K+ and none, (3) Na+ + Mg2+, Na+, K+ + Na+ and Na+ + K+ + Mg2+, (4) Mg2+ + K+ + ATP, K+ + ATP and Mg2+ + ATP, (5) K+ + Na + + ATP, Na+ + ATP, Na+ + K+ + Mg2+ + ATP and ATP. The highest rate was obtained in the presence of Na+, Mg2+ and ATP. The apparent concentrations of Na+, Mg2+ and ATP for half-maximum stimulation of inhibition (KS0.5) were 3 mM, 0.13 mM and 4 MicroM, respectively. The rate was unchanged upon further increase in Na+ concentration from 140 to 1000 mM. The rates of inhibition could be explained on the basis of the enzyme forms present, including E1, E2, ES, E1-P and E2-P, i. e., E2 has higher reactivity with showdomycin than E1, while E2-P has almost the same reactivity as E1-P. We conclude that the reaction of (Na+ + K+)- ATPase proceeds via at least four kinds of enzyme form (E1, E2, E1 . nucleotide and EP), which all have different conformations.     

Demonstration of cooperating alpha subunits in working (Na+ + K+)-ATPase by the use of the MgATP complex analogue cobalt tetrammine ATP

The MgATP complex analogue cobalt-tetrammine-ATP [Co(NH3)4ATP] inactivates (Na+ + K+)-ATPase at 37 degrees C slowly in the absence of univalent cations. This inactivation occurs concomitantly with incorporation of radioactivity from [alpha-32P]Co(NH3)4ATP and from [gamma-32P]Co(NH3)4ATP into the alpha subunit. The kinetics of inactivation are consistent with the formation of a dissociable complex of Co(NH3)4ATP with the enzyme (E) followed by the phosphorylation of the enzyme: (Formula: see text). The dissociation constant of the enzyme-MgATP analogue complex at 37 degrees C is Kd = 500 microM, the inactivation rate constant k2 = 0.05 min-1. ATP protects the enzyme against the inactivation by Co(NH3)4ATP due to binding at a site from which it dissociates with a Kd of 360 microM. It is concluded, therefore, that Co(NH3)4ATP binds to the low-affinity ATP binding site of the E2 conformational state. K+, Na+ and Mg2+ protect the enzyme against the inactivation by Co(NH3)4ATP. Whilst Na+ or Mg2+ decrease the inactivation rate constant k2, K+ exerts its protective effect by increasing the dissociation constant of the enzyme.Co(NH3)4ATP complex. The Co(NH3)4ATP-inactivated (Na+ + K+)-ATPase, in contrast to the non-inactivated enzyme, incorporates [3H]ouabain. This indicates that the Co(NH3)4ATP-inactivated enzyme is stabilized in the E2 conformational state. Despite the inactivation of (Na+ + K+)-ATPase by Co(NH3)4ATP from the low-affinity ATP binding site, there is no change in the capacity of the high-affinity ATP binding site (Kd = 0.9 microM) nor of its capability to phosphorylate the enzyme Na+-dependently. Since (Na+ + K+)-ATPase is phosphorylated Na+-dependently from the high-affinity ATP binding site although the catalytic cycle is arrested in the E2 conformational state by specific modification of the low-affinity ATP binding site, it is concluded that both ATP binding sites coexist at the same time in the working sodium pump. This demonstration of interacting catalytic subunits in the E1 and E2 conformational states excludes the proposal that a single catalytic subunit catalyzes (Na+ + K+)-transport.     

The pre-steady-state hydrolysis of ATP by porcine brain (Na+ + K+)-dependent ATPase.

The hydrolysis of [gamma-32P]ATP by porcine brain (Na+ + K+)-stimulated ATP phosphohydrolase (EC 3.6.1.3) has been studied at 28 degree C in a rapid mixing quenched-flow apparatus. An "early burst" in the release of Pi from ATP has been observed when the enzyme is mixed with ATP, Na+ and a relatively high concentration of K+ (10 mM) but the burst is less pronounced with 0.5 mM K+. This "early burst" of Pi release is suppressed when the enzyme is pre-mixed with 10 mM K+ or 20% (v/v) dimethylsulphoxide before mixing with ATP and Na+, and premixing of enzyme with Na+ antagonizes this effect of dimethylsulphoxide. The results have been analysed by a non-linear least squares regression treatment and are consistent with a mechanism involving three steps, one of which may be a relatively slow change in enzyme conformation following release of Pi from its covalent linkage with the enzyme, in addition to formation of the enzyme-substrate complex. Rate constants (and S.E.) for these steps have been calculated and the roles of phospho-enzyme and other intermediates in the reaction mechanism of the transport ATPase are dicussed.     

The locus of nucleotide specificity in the reaction mechanism of (Na+ + K+)-ATPase determined with ATP and GTP as substrates

ATP and GTP have been compared as substrates for (Na+ + K+)-ATPase in Na+-activated hydrolysis, Na+-activated phosphorylation, and the E2K----E1K transition. Without added K+ the optimal Na+-activated hydrolysis rates in imidazole-HCl (pH 7.2) are equal, but are reached at different Na+ concentrations: 80 mM Na+ for GTP, 300 mM Na+ for ATP. The affinities of the substrates for the enzyme are widely different: Km for ATP 0.6 microM, for GTP 147 microM. The Mg-complexed nucleotides antagonize activation as well as inhibition by Na+, depending on the affinity and concentration of the substrate. The optimal 3-s phosphorylation levels in imidazole-HCl (pH 7.0) are equally high for the two substrates (3.6 nmol/mg protein). The Km value for ATP is 0.1-0.2 microM and for GTP it ranges from 50 to 170 microM, depending on the Na+ concentration. The affinity of Na+ for the enzyme in phosphorylation is lower with the lower affinity substrate: Km (Na+) is 1.1 mM with ATP and 3.6 mM with GTP. The GTP-phosphorylated intermediate exists, like the ATP-phosphorylated intermediate, in the E2P conformation. Addition of K+ increases the optimal hydrolytic activity 30-fold for ATP (at 100 mM Na+ + 10 mM K+) and 2-fold for GTP (at 100 mM Na+ + 0.16 mM K+). K+ greatly increases the Km values for both substrates (to 430 microM for ATP and 320 microM for GTP). Above 0.16 mM K+ inhibits GTP hydrolysis. GTP does not reverse the quenching effect of K+ on the fluorescence of the 5-iodoacetamidofluorescein-labeled enzyme. ATP fully reverses this effect, which represents the transition from E1K to E2K. Hence GTP is unable to drive the E2K----E1K transition.     

Interactions between K+ and ATP binding to the (Na+ + K+)-dependent ATPase.

K+ appears to decrease the affinity of the (Na+ + K+)-dependent ATPase (ATP phosphohydrolase, EC 3.6.1.3) for its substrate, Mg2+ - ATP, and Mg2+ - ATP, in turn, appears to decrease the affinity of the enzyme for K+. These antagonisms have been investigated in terms of a quantitative model defining the magnitude of the effects as well as identifying the class of K+ sites on the enzyme involved. K+ increased the apparent Km for Mg2+ - ATP, an effect that was antagonized competitively by Na+. The data can be fitted to a model in which Mg2+ - ATP binding is prevented by occupancy of alpha-sites on the enzyme by K+ (i.e. sites of moderate affinity for K+ accessible on the "free" non-phosphorylated enzyme, in situ on the external membrane surface). By contrast, occupancy of these alpha-sites by Na+ has no effect on Mg2+ - ATP binding to the enzyme. On the other hand, Mg2+ - ATP decreased the apparent affinity of the enzyme for K+ at the alpha-sites, in terms of (i) the KD for K+ measured by K+-accelerated inactivation of the enzyme by F-, and (ii) the concentration of K+ for half-maximal activation of the K+-dependent phosphatase reaction (which reflects the terminal hydrolytic steps of the overall ATPase reaction). These data fit the same quantitative model. Although this formulation does not support schemes in which ATP binding effects the release of transported K+ from discharge sites, it is consistent with observations that K+ can inhibit the enzyme at low substrate concentrations, and that Li+, which has poor efficacy when occupying these alpha-sites, can stimulate enzymatic activity at high K+ concentrations by displacing the inhibitory K+.     

Tryptophan fluorescence of (Na+ + K+)-ATPase as a tool for study of the enzyme mechanism.

1. The protein fluorescence intensity of (Na+ + K+)-ATPase is enhanced following binding of K+ at low concentrations. The properties of the response suggest that one or a few tryptophan residues are affected by a conformational transition between the K-bound form E2 . (K) and a Na-bound form E1 . Na. 2. The rate of the conformational transition E2 . (K) leads to E . Na has been measured with a stopped-flow fluorimeter by exploiting the difference in fluorescence of the two states. In the absence of ATP the rate is very slow, but it is greatly accelerated by binding of ATP to a low affinity site. 3. Transient changes in tryptophan fluorescence accompany hydrolysis of ATP at low concentrations, in media containing Mg2+, Na+ and K+. The fluorescence response reflects interconversion between the initial enzyme conformation, E1 . Na and the steady-state turnover intermediate E2 . (K). 4. The phosphorylated intermediate, E2P can be detected by a fluorescence increase accompanying hydrolysis of ATP in media containing Mg2+ and Na+ but no K+. 5. The conformational states and reaction mechanism of the (Na+ + K+)-ATPase are discussed in the light of this work. The results permit a comparison of the behaviour of the enzyme at both low and high nucleotide concentrations.     

(Na+ + K+)-ATPase: confirmation of the three-pool model for the phosphointermediates of Na+-ATPase activity. Estimation of the enzyme-ATP dissociation rate constant

The dephosphorylation kinetics of acid-stable phosphointermediates of (Na+ + K+)-ATPase from ox brain, ox kidney and pig kidney was studied at 0 degree C. Experiments performed on brain enzyme phosphorylated at 0 degree C in the presence of 20-600 mM Na+, 1 mM Mg2+ and 25 microM [gamma-32P]ATP show that irrespectively of the EP-pool composition, which is determined by Na+ concentration, all phosphoenzyme is either ADP- or K+-sensitive. After phosphorylation of kidney enzymes at 0 degree C with 1 mM Mg2+, 25 microM [gamma-32P]ATP and 150-1000 mM Na+ the amounts of ADP- and K+-sensitive phosphoenzymes were determined by addition of 1 mM ATP + 2.5 mM ADP or 1 mM ATP + 20 mM K+. Similarly to the previously reported results on brain enzyme, both types of dephosphorylation curves have a fast and a slow phase, so that also for kidney enzymes a slow decay of a part of the phosphoenzyme, up to 80% at 1000 mM Na+, after addition of 1 mM ATP + 20 mM K+ is observed. The results obtained with the kidney enzymes seem therefore to reinforce previous doubts about the role played by E1 approximately P(Na3) as intermediate of (Na+ + K+)-ATPase activity. Furthermore, for both kidney enzymes the sum of ADP- and K+-sensitive phosphoenzymes is greater than E tot. In experiments on brain enzyme an estimate of dissociation rate constant for the enzyme-ATP complex, k-1, is obtained. k-1 varies between 1 and 4 s-1 and seems to depend on the ligands present during formation of the complex. The highest values are found for enzyme-ATP complex formed in the presence of Na+ or Tris+. The results confirm the validity of the three-pool model in describing dephosphorylation kinetics of phosphointermediates of Na+-ATPase activity.     

ATP inactivates hydrolysis of the K+-sensitive phosphoenzyme of kidney Na+,K+-transport ATPase and activates that of muscle sarcoplasmic reticulum Ca2+-transport ATPase

In order to characterize low affinity ATP-binding sites of renal (Na+,K+) ATPase and sarcoplasmic reticulum (Ca2+)ATPase, the effects of ATP on the splitting of the K+-sensitive phosphoenzymes were compared. ATP inactivated the dephosphorylation in the case of (Na+,K+)ATPase at relatively high concentrations, while activating it in the case of (Ca2+)ATPase. When various nucleotides were tested in place of ATP, inactivators of (Na+,K+)ATPase were found to be activators in (Ca2+)ATPase, with a few exceptions. In the absence of Mg2+, the half-maximum concentration of ATP for the inhibition or for the activation was about 0.35 mM or 0.25 mM, respectively. These values are comparable to the previously reported Km or the dissociation constant of the low affinity ATP site estimated from the steady-state kinetics of the stimulation of ATP hydrolysis or from binding measurements. By increasing the concentration of Mg2+, but not Na+, the effect of ATP on the phosphoenzyme of (Na+,K+)ATPase was reduced. On the other hand, Mg2+ did not modify the effect of ATP on the phosphoenzyme of (Ca2+)ATPase. During (Na+,K+)ATPase turnover, the low affinity ATP site appeared to be exposed in the phosphorylated form of the enzyme, but the magnesium-complexed ATP interacted poorly with the reactive K+-sensitive phosphoenzyme, which has a tightly bound magnesium, probably because of interaction between the divalent cations. In the presence of physiological levels of Mg2+ and K+, ATP appeared to bind to the (Na+,K+)ATPase only after the dephosphorylation, while it binds to the (Ca2+)-ATPase before the dephosphorylation to activate the turnover.     

Membrane (Na+ + K+)-ATPase of canine brain, heart and kidney. Tissue-dependent differences in kinetic properties and the influence of purification procedures.

Effects of commonly used purification procedures on the yield and specific activity of (Na+ + K+)-ATPase (Mg2+-dependent, Na+ + K+-activated ATP phosphohydrolase, EC 3.6.1.3), the turnover number of the enzyme, and the kinetic parameters for the ATP-dependent ouabain-enzyme interaction were compared in canine brain, heart and kidney. Kinetic parameters were estimated using a graphical analysis of non-steady state kinetics. The protein recovery and the degree of increase in specific activity of (Na+ + K+)-ATPase and the ratio between (Na+ + K+)-ATPase and Mg2+-ATPase activities during the successive treatments with deoxycholate, sodium iodide and glycerol were dependent on the source of the enzyme. A method which yields highly active (Na+ + K+)-ATPase preparations from the cardiac tissue was not suitable for obtaining highly active enzyme preparations from other tissues. Apparent turnover numbers of the brain (Na+ + K+)-ATPase preparations were not significantly affected by the sodium iodide treatment, but markedly decreased by deoxycholate or glycerol treatments. Similar glycerol treatment, however, failed to affect the apparent turnover number of cardiac enzymes preparations. Cerebral and cardiac enzyme preparations obtained by deoxycholate, sodium iodide and glycerol treatments had lower affinity for ouabain than renal enzyme preparations, primarily due to higher dissociation rate constants for the ouabain.enzyme complex. This tissue-dependent difference in ouabain sensitivity seems to be an artifact of the purification procedure, since less purified cerebral or cardiac preparations had lower dissociation rate constants. Changes in apparent association rate constants were minimal during the purfication procedure. These results indicate that the presentyl used purification procedures may alter the properties of membrane (Na+ + K+)-ATPase and affect the interaction between cardiac glycosides and the enzyme. The effect of a given treatment depends on the source of the enzyme. For the in vitro studies involving purified (Na+ + K+)-ATPase preparations, the influence of the methods used to obtain the enzyme preparation should be carefully evaluated.     

Evidence for a new intermediate state in the mechanism of (Na+ + K+)-adenosine triphosphatase.

A rapid mixing technique was used to follow the intermediate formation of phosphorylated enzyme and liberation of inorganic phosphate by a microsomal preparation of (Na+ + K+)-ATPase. In the presence of 100 mM Na+,but without added K+, phosphorylation reaches a constant level at a rate which is dependent on ATP concentration. Inorganic phosphate production lags during the inital phase of phosphorylation and then accumulates at a constant rate. These observations favor a scheme in which Pi is liberated as the result of turnover of the phosphorylated enzyme. In the presence of 100 mM Na+ and 2.5 mM K+ phosphate production was resolved into two phases consisting of an initial 'burst' and late steady state phase...     

Sodium + potassium-activated ATPase of mammalian brain. Regulation of phosphatase activity.

1. The K+-nitrophenylphosphatase activity associated with mammalian brain (Na+ + K+)-ATPase displays K+ activation curves that have intermediary plateaus and maxima in the presence of less than saturating concentrations of Na+. Zero Na+ and saturating Na+ produce sigmoid K+-activation curves with low and high K+ affinities respectively. 2. ATP inhibits K+-activated nitrophenylphosphatase through both competitive and non-competitive mechanisms. ATP is synergistic with Na+ in the mechanism which converts the enzyme from low to high K+ affinity. 3. The Na+ and K+ interactions can be accounted for by equations which describe a model with separate regulatory sites for Na+ and K+ and with K+- requiring catalytic site which is only accessible in one of the two principal conformational stages of the enzyme. 4. The effects of ATP can be accounted for by the same model through interactions at a single nucleotide binding site. Inhibition which is competitive with K+ and non-competitive with substrate arises from stabilization of the inactive enzyme conformation. Inhibition which is non-competitive with K+ and competitive with substrate results from interactions with the active enzyme conformation. The synergism between Na+ and ATP appears to arise as a consequence of the formation of phosphoryl enzyme. 5. A model for (Na+ + K+)-ATPase is discussed which involves in-phase coupling of subunit interactions as suggested by these studies.     

Mathematical modelling of ATP, K+ and Na+ interactions with (Na+ + K+)-ATPase occurring under equilibrium conditions.

The controlling effect of ATP, K+ and Na+ on the rate of (Na+ + K+)-ATPase inactivation by 7-chloro-4-nitrobenzo-2-oxa-1,3-diazole (NBD-C1) is used for the mathematical modelling of the interaction of the effectors with the enzyme under equilibrium conditions. 1. Of a series of conceivable interaction models, designed without conceptual restrictions to describe the effector control of inactivation kinetics, only one fits the experimental data described in a preceding paper. 2. The model is characterized by the coexistence of two binding sites for ATP and the coexistence of two separate binding sites for K+ and Na+ on the enzyme-ATP complex. On the basis of this model, the effector parameters fitting the experimental data most closely are estimated by means of nonlinear least-squares fits. 3. The apparent dissociation constants for ATP fo the enzyme-ATP complex or of the enzyme-(ATP)2 complex are computed to lie near 0.0024 mM and 0.34 mM, respectively, irrespective of whether K+ and Na+ were absent or K+ and K+ plus Na+, respectively, were present in the experiments. 4. The origin of the high and the low affinity site for binding of ATP to the (Na+ + K+)-ATPase molecule is traced back to the coexistence of two catalytic centres which, although primarily equivalent as to the reactivity of their thiol groups with NBD-C1, are induced into anticooperative communication by ATP binding and thus show an induced geometric asymmetry. 5. On the basis of the interaction model outlined under item 2 the apparent dissociation constant for K+ or Na+ in the (K+ + Na+)-liganded enzyme-ATP complex are computed to be 1.7 mM and 3.5 mM, respectively. 6. The conclusions concerning the coexistence of two primarily equivalent but anticooperatively interacting catalytic centres and the coexistence of two separate ionophoric centres for Na+ and K+ correspond to the appropriate basic postulates of the flip-flop concept of (Na+ + K+)-ATPase mechanism.     

Studies on the relationship between glycolysis and (Na+ + K+)-ATPase in cultured cells

In several tissues a coupling between glycolysis and (Na+ + K+)-ATPase has been observed. We report here studies on the coupling of glycolysis and (Na+ + K+)-ATPase in Rous-transformed hamster cells and Ehrlich ascites tumor cells. The rate of (Na+ + K+)-ATPase was estimated by the initial rate of ouabain-sensitive K+ influx after K+ reintroduction to K+-depleted cells. Experiments were performed with cells producing ATP via oxidative phosphorylation alone (i.e., lactate sole substrate), glycolysis alone (i.e., glucose as substrate in the absence of oxygen or with antimycin A), or glycolysis and oxidative phosphorylation (i.e., glucose as substrate in the presence of oxygen). The cells produced ATP at approximately the same rate under all of these conditions, but the initial rate of K+-influx was approx. 2-fold higher when AtP was produced from glycolysis. Changes in cell Na+ due to other transport processes related to glycolysis, such as Na+-H+ exchange, Na+-glucose cotransport, and K+-H+ exchange were ruled out as mediators of this effect on (Na+ + K+)-ATPase. These data suggest that glycolysis is more effective than oxidative phosphorylation in providing ATP to (Na+ + K+)-ATPase to these cultured cells.     

The steady-state kinetic mechanism of ATP hydrolysis catalyzed by membrane-bound (Na+ + K+)-ATPase from ox brain. II. Kinetic characterization of phosphointermediates

(1) The kinetics of the phosphorylated enzymic intermediates of (Na+ + K+)-ATPase from ox brain, which are formed by incubation of the enzyme with 25 microM AT32P, 150 mM Na+ and 1 mM Mg2+, have been studied in dephosphorylation experiments at 1 degree C. The dephosphorylation of the 32P-labelled enzyme was initiated by addition of either 1 mM unlabelled ATP, 2.5 mM ADP or 1 mM unlabelled ATP + ADP in concentrations from 25 to 1000 microM. (2) In the absence of ADP the dephosphorylation curve was linear in a semilogarithmic plot almost from t = 0, whereas by addition of ADP a biphasic behaviour was obtained. The slope of the slow phase of dephosphorylation was virtually independent of the ADP concentration. (3) The results were analysed by the mathematical equation corresponding to the simplest possible model for the interconversion and breakdown of the phosphointermediates: (formula: see text) where alpha, beta, H and G are functions of all the rate constants and H and G furthermore are functions of the initial values for [E1P] and [E2P]. (4) The analysis confirmed the model and enabled the determination of all the rate constants. (5) k-1 was found to be equal to k'-1 + k"-1 . [ADP] indicating an ADP-independent 'spontaneous' dephosphorylation of E1P. The rate constant for this process was close to that for dephosphorylation of E2P, i.e., k'-1 congruent to k3. Also the value of k"-1 was determined. (6) k3 was found to be at least 10 . k-2. The implication of this for the role of the E1P to E2P transition in the Na+ + K+)-stimulated ATP hydrolysis will be discussed in detail in the following paper (Plesner, I.W., Plesner, L., N?rby, J.G. and Klodos, I. (1981) Biochim. Biophys. Acta 643, 483--494). (7) A refinement of the model, accounting for the effect of Na+ on the steady-state ratio between [E1P] and [E2P] is proposed: (formula: see text). At [Na+] = 150 mM as used here, E1P(Na) and E'1P are assumed to be in rapid equilibrium. (8) Comparison of our results with those of others underlines the general validity of the conclusions of the present paper.