On the mechanism of sodium- and potassium-activated adenosine triphosphatase. Time course of intermediary steps examined by computer simulation of transient kinetics

Measurements of Na+-occluded intermediates during the catalytic cycle of the Na+/K+-ATPase provide novel insights into the mechanism of Na+ transport

The Na⁺/K⁺-ATPase is an integral plasma membrane glycoprotein of all animal cells that couples the exchange of intracellular Na⁺ for extracellular K⁺ to the hydrolysis of ATP. The asymmetric distribution of Na⁺ and K⁺ is essential for cellular life and constitutes the physical basis of a series of fundamental biological phenomena. The pumping mechanism is explained by the Albers-Post model. It involves the presence of gates alternatively exposing Na⁺/K⁺-ATPase transport sites to the intracellular and extracellular sides and includes occluded states in which both gates are simultaneously closed. Unlike for K⁺, information is lacking about Na⁺-occluded intermediates, as occluded Na⁺ was only detected in states incapable of performing a catalytic cycle, including two Na⁺-containing crystallographic structures. The current knowledge is that intracellular Na⁺ must bind to the transport sites and become occluded upon phosphorylation by ATP to be transported to the extracellular medium. Here, taking advantage of epigallocatechin-3-gallate to instantaneously stabilize native Na⁺-occluded intermediates, we isolated species with tightly bound Na⁺ in an enzyme able to perform a catalytic cycle, consistent with a genuine occluded state. We found that Na⁺ becomes spontaneously occluded in the E1 dephosphorylated form of the Na⁺/K⁺-ATPase, exhibiting positive interactions between binding sites. In fact, the addition of ATP does not produce an increase in Na⁺ occlusion as it would have been expected; on the contrary, occluded Na⁺ transiently decreases, whereas ATP lasts. These results reveal new properties of E1 intermediates of the Albers-Post model for explaining the Na⁺ transport pathway.

An unexpected effect of ATP on the ratio between activity and phosphoenzyme level of Na+/K(+)-ATPase in steady state

According to the Albers-Post model the hydrolysis of ATP catalyzed by the Na+/K(+)-ATPase requires the sequential formation of at least two conformers of a phosphoenzyme (E1P and E2P), followed by the K(+)-stimulated hydrolysis of E2P. In this paper we show that this model is a particular case of a more general class of models in all of which the ratio between ATPase activity (v) and total phosphoenzyme level (EP) in steady state is determined solely by the rate constants of interconversion between phosphoconformers and of dephosphorylation. Since these are thought to be unaffected by ATP, the substrate curves for ATPase activity and EP should be identical in shape so that the ratio v/EP ought to be independent of the concentration of ATP. We tested this prediction by parallel measurements of v and EP as a function of [ATP] in the absence or presence of non-limiting concentrations of K+, Rb+ or NH+4. In the absence of K+ or its congeners, both curves followed Michaelis-Menten kinetics, with almost identical Km values (0.16 microM) so that v/EP remained independent of [ATP]. In the presence of either K+, Rb+ or NH+4, v and EP increased with [ATP] along the sum of two Michaelis-Menten equations. The biphasic response of v is well known but, to the best of our knowledge, our results are the first demonstration that the response of EP to [ATP] is also biphasic. Under these conditions, the ratio v/EP increased with [ATP] from 19.8 to 40.1 s-1 along a hyperbola that was half-maximal at 9.5 microM. To preserve the validity of the current model it seems necessary to assume that ATP acts on the E1P <--> E2P transition and/or on the rate of hydrolysis of E2P. The latter possibility was ruled out. We also found that to fit the Albers-Post model to our data, the rate constant for K+ deocclussion from E2 has to be about 10-times higher than that reported from measurements of partial reactions. The results indicate that the Albers-Post model quantitatively predicts the experimental behavior of the Na(+)-ATPase activity but is unable to do this for the Na+/K(+)-ATPase activity, unless additional and yet unproved hypothesis are included.

Transient behaviour of the Na+/K+-pump: microscopic analysis of nonstationary ion-translocation

In recent years fast perturbation techniques have been applied for investigating the mechanism of the Na+/K+-pump. Experiments in which nonstationary pump-currents and ion fluxes are measured after a voltage or ATP-concentration jump yield kinetic information which cannot be obtained from ordinary steady-state experiments. In this paper a theoretical treatment is described by which transient pump-currents and ion fluxes can be analyzed in a unified way. The method is based on the assumption that the operation of the pump involves a sequence of conformational transitions and ion-binding and -release steps. The charge displacements associated with the individual reaction steps are described by a set of dielectric coefficients. The nonstationary behaviour of the Na+/K+-pump is analyzed on the basis of the Albers-Post reaction cycle. It is shown that the different studies of transient pump-currents and ion fluxes carried out so far lead to internally consistent conclusions with respect to the nature of the electrogenic steps of the transport cycle.

Fast charge translocations associated with partial reactions of the Na,K-pump: II. Microscopic analysis of transient currents

Nonstationary pump currents which have been observed in K+-free Na+ media after activation of the Na,K-ATPase by an ATP-concentration jump (see the preceding paper) are analyzed on the basis of microscopic reaction models. It is shown that the behavior of the current signal at short times is governed by electrically silent reactions preceding phosphorylation of the protein; accordingly, the main information on charge-translocating processes is contained in the declining phase of the pump current. The experimental results support the Albers-Post reaction scheme of the Na,K-pump, in which the translocation of Na+ precedes translocation of K+. The transient pump current is represented as the sum of contributions of the individual transitions in the reaction cycle. Each term in the sum is the product of a net transition rate times a "dielectric coefficient" describing the amount of charge translocated in a given reaction step. Charge translocation may result from the motion of ion-binding sites in the course of conformational changes, as well as from movement of ions in access channels connecting the binding sites to the aqueous media. A likely interpretation of the observed nonstationary currents consists in the assumption that the principal electrogenic step is the E1-P/P-E2 conformational transition of the protein, followed by a release of Na+ to the extracellular side. This conclusion is supported by kinetic data from the literature, as well as on the finding that chymotrypsin treatment which is known to block the E1-P/P-E2 transition abolishes the current transient. By numerical simulation of the Albers-Post reaction cycle, the proposed mechanism of charge translocation has been shown to reproduce the experimentally observed time behavior of pump currents.

Uncoupling of ATP binding to Na+,K+-ATPase from its stimulation of ouabain binding: studies of the inhibition of Na+,K+-ATPase by a monoclonal antibody

The effects of a monoclonal antibody, prepared against the purified lamb kidney Na+,K+-ATPase, on the enzyme's Na+,K+-dependent ATPase activity were analyzed. This antibody, designated M10-P5-C11, is directed against the catalytic subunit of the "native" holoenzyme. It inhibits greater than 90% of the ATPase activity and acts as a noncompetitive or mixed inhibitor with respect to the ATP, Na+, and K+ dependence of enzyme activity. It inhibits the Na+- and Mg2+ATP-dependent phosphoenzyme intermediate formation. In contrast, it has no effect on K+-dependent p-nitrophenylphosphatase (pNPPase) activity, the interconversion of the phosphoenzyme intermediates, and ADP-sensitive or K+-dependent dephosphorylation. It does not alter ATP binding to the enzyme nor the covalent labeling of the enzyme at the presumed ATP site by fluorescein 5'-isothiocyanate (FITC), but it prevents the ATP-induced stimulation in the rate of cardiac glycoside [3H]ouabain binding to the Na+,K+-ATPase. M10-P5-C11 binding appears to inhibit enzyme function by blocking the transfer of the gamma-phosphoryl of ATP to the phosphorylation site after ATP binding to the enzyme has occurred. In the presence of Mg2+ATP, it also prevents the ATP-induced transmembrane conformational change that enhances cardiac glycoside binding. This uncoupling of ATP binding from its stimulation of ouabain binding and enzyme phosphorylation demonstrates the existence of an enzyme-Mg2+ATP transitional intermediate preceding the formation of the Na+-dependent ADP-sensitive phosphoenzyme intermediate. These results are also consistent with a model of the Na+,K+-ATPase active site being composed of two distinct but interacting regions, the ATP binding site and the phosphorylation site.

Effects of the ATP, ADP and inorganic phosphate on the transport rate of the Na+,K+-pump

(Na+ + K+)-ATPase from kidney outer medulla was incorporated into artificial dioleoylphosphatidylcholine vesicles. In the reconstituted system the pump can be activated by adding ATP to the external medium. ATP-driven potassium extrusion by the Na+,K+-pump was studied using a voltage-sensitive dye in the presence of valinomycin. ADP strongly reduced the turnover rate of the pump with a concentration for half-maximal inhibition of cD,1/2 = 0.1 mM. cD,1/2 was found to be virtually independent of ATP concentration, indicating that the inhibition is non-competitive with respect to ATP. The non-competitive inhibition by ADP can be explained on the basis of the Post-Albers reaction cycle of the Na+,K+-pump, assuming that the main action of ADP is the reversal of the phosphorylation step. A similar 'product inhibition' was observed with inorganic phosphate, but at much higher concentrations (cP,1/2 = 14 mM).

Multiple ion-dependent and substrate-dependent Na+/K+-ATPase conformational states. Transient and steady-state kinetic studies

The hydrolysis of beta-(2-furyl)acryloyl phosphate (FAP), catalyzed by the Na+/K+-ATPase, is faster than the catalyzed hydrolysis of ATP. This is due to catalyzed hydrolysis of the pseudosubstrate by K+-dependent states of the enzyme, thus bypassing the Na+-dependent enzyme states that are required and are rate limiting in ATP hydrolysis. Unlike ATP, FAP is a positive effector of the E2 state. A study of FAP hydrolysis permits a detailed analysis of later steps in the overall ion translocation-ATP hydrolysis pathway. During the steady state of FAP hydrolysis in the presence of K+, substantial phosphoryl-enzyme is formed, as is indicated by the covalent incorporation of 32P from [32P]FAP. A comparison of the phosphoryl-enzyme yield with the rate of overall hydrolysis reveals that at 25 degrees C the phosphoryl-enzyme formed is all kinetically competent. Both the yield of phosphoryl-enzyme and the rate of overall hydrolysis of FAP are [K+] dependent. The transition E1 in equilibrium E2 is also [K+] dependent, but the rate of transition is differently affected by [K+] than are the above-mentioned two processes. Two distinct roles for K+ are indicated, as an effector of the E1-E2 equilibrium and as a "catalyst" in the hydrolysis of the E2-P. In contrast to the results at 25 degrees C, a virtually stoichiometric yield of phosphoryl-enzyme occurs at 0 degree C in the presence of Na+ and the absence of K+. At lower concentrations of K+ and in the presence of Na+, the hydrolysis of FAP at 0 degree C proceeds substantially through the E1-E2 pathway characteristic of ATP hydrolysis. The selectivity of FAP for the E2-K+-dependent pathway is due to the thermal inactivation of E1 at 25 degrees C in the absence of ATP or ATP analogues, even at high concentrations of Na+. These results emphasize the existence of multiple functional "E1" and "E2" states in the overall ATPase-ion translocation pathway.

Modification of the conformational equilibria in the sodium and potassium dependent adenosinetriphosphatase with glutaraldehyde

Glutaraldehyde treatment of electroplax membrane preparations of Na,K-ATPase leads to irreversible changes in the enzymic behavior of the protein, which are not due to modification of the active site. When the glutaraldehyde treatment is carried out in a medium containing K+ and without Na+, the "K+-modified enzyme" so produced shows the following changes in enzymic properties: The steady-state phosphorylation by ATP and the rate of ATP-ADP exchange are decreased to approximately 40% of control, while Na,K-ATPase activity decreases to approximately 15% of control. Phosphatase activity is decreased very little, but the potassium activation parameters of the reaction are changed, from K0.5 approximately equal to 5 mM and nH = 1.9 in control to K0.5 approximately equal to 0.5 mM and nH = 1 in K+-modified enzyme. KI(app) for nucleotide inhibition of phosphatase activity is increased significantly. Changes in the cation dependence of the ATPase reaction are also observed. All of these effects can be explained by assuming that the cross-linking of surface groups in protein subunits when they are in conformation E2 shifts the intrinsic conformational equilibrium of the enzyme toward E2. We considered the simplest mathematical model for the coupling between K+ binding and the conformational equilibrium, with equivalent potassium sites that must be simultaneously in the same state. If one assumes that the potassium activation of phosphatase activity in the K+-modified enzyme reflects the affinity for K+ of E2, the behavior of the phosphatase activity in the native enzyme can be fit if there are only two potassium sites, whose affinity is 80-fold higher in E2 than in E1, and the equilibrium constant for E2 in equilibrium E1 is about 250. The same sites can explain the activation of dephosphorylation during ATP hydrolysis. Independent of the model chosen, potassium ions must be required for the catalytic action of form E2 and cannot be merely "allosteric activators". The enzyme modified with glutaraldehyde in a medium containing Na+ also has interesting properties, but their rationalization is less straightforward. The Na,K-ATPase activity is inhibited more than the "partial reactions", as in the K+-modified enzyme. We suggest that this is a generally expected result of modifications of the enzyme.

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., Nørby, 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.

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.