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Logo of nihpaAbout Author manuscriptsSubmit a manuscriptHHS Public Access; Author Manuscript; Accepted for publication in peer reviewed journal;
 
Biochemistry. Author manuscript; available in PMC 2010 September 1.
Published in final edited form as:
PMCID: PMC2775463
NIHMSID: NIHMS137471

Quaternary Benzyltriethylammonium Ion Binding to the Na,K-ATPase: a Tool to Investigate Extracellular K+ Binding Reactions

Abstract

This study examined how the quaternary organic ammonium ion, benzyltriethylamine (BTEA), binds to the Na,K-ATPase to produce membrane potential (VM)-dependent inhibition and tested the prediction that such a VM-dependent inhibitor would display electrogenic binding kinetics. BTEA competitively inhibited K+ activation of Na,K-ATPase activity and steady-state 86Rb+ occlusion. The initial rate of 86Rb+ occlusion was decreased by BTEA to a similar degree whether it was added to the enzyme prior to or simultaneously with Rb+, a demonstration that BTEA inhibits the Na,K-ATPase without being occluded. Several BTEA structural analogues reversibly inhibited Na,K-pump current, but none blocked current in a VM-dependent manner except BTEA and its para-nitro derivative, pNBTEA. Under conditions that promoted electroneutral K+-K+ exchange by the Na,K-ATPase, step changes in VM elicited pNBTEA-activated ouabain-sensitive transient currents that had similarities to those produced with the K+ congener, Tl+. pNBTEA- and Tl+-dependent transient currents both displayed saturation of charge moved at extreme negative and positive VM, equivalence of charge moved during and after step changes in VM, and similar apparent valence. The rate constant (ktot) for Tl+-dependent transient current asymptotically approached a minimum value at positive VM. In contrast, ktot for pNBTEA-dependent transient current was a “U”-shaped function of VM with a minimum value near 0 mV. Homology models of the Na,K-ATPase alpha subunit suggested that quaternary amines can bind to two extracellularly-accessible sites, one of them located at K+ binding sites positioned between transmembrane helices 4, 5, and 6. Altogether, these data revealed important information about electrogenic ion binding reactions of the Na,K-ATPase that are not directly measurable during ion transport by this enzyme.

Ion binding followed rapidly by occlusion is a mechanism utilized by the Na,K-ATPase and many P-type ATPases to minimize futile ATP hydrolysis cycles during transport. Enzyme conformations associated with ion occlusion are relatively stable from a thermodynamic standpoint as ion occluded states of the enzyme can be maintained for extended periods under the appropriate conditions (13). Ion bound but not occluded states of the enzyme, on the other hand, appear to be unstable and have been more difficult to study (4). Nonetheless, Forbush (3) showed that release of the K+ congener, Rb+, from the ion-occluded enzyme occurred by a sequential, ordered reaction, in agreement with data from Glynn et al. (2). Likewise, the kinetics of extracellular Na+ binding and occlusion reactions also suggested that binding and release of this ion occurs as an ordered series of diffusion-limited binding reactions separated by protein conformational rearrangements (5). Even so, to gain a greater understanding of how the Na,K-ATPase functions in its capacity as an ion transporter, it would be advantageous to study ion binding reactions in more detail and separate from the associated conformational changes that lead to ion occlusion. One obvious reason to separate ion binding from subsequent reactions would be to answer unambiguously the question of how the membrane electric field affects ion transport. Ion binding kinetics are influenced by electric field strength (5). The problem with previous studies is that ion binding cannot be separated from subsequent enzyme conformational changes. Secondly, the ability to study ion binding independently of occlusion should open the door to more detailed studies of the factors affecting ion binding reactions.

Forbush (6) previously suggested that ion binding reactions of the Na,K-ATPase could be studied with an enzyme inhibitor that interacted with ion binding sites without becoming occluded. His work suggested that organic quaternary ammonium ions could be such inhibitors; however, this conclusion was based on assumptions about how quaternary amines inhibit the Na,K-ATPase. Should these assumptions be confirmed experimentally, these compounds might prove to be valuable tools to further study ion binding by the Na,K-ATPase.

Organic quaternary amines competitively inhibit extracellular K+ and Rb+ activation of ion transport by the Na,K-ATPase (710). Tetraethylammonium ion (TEA) has been shown to inhibit ion transport by the Na,K-ATPase in this fashion (7,9,11). Measurements of Na,K-pump current in the presence of TEA have also shown that this quaternary amine inhibits the Na,K-ATPase in a membrane potential (VM)-independent manner (9,11), i.e. irrespective of VM, inhibition decreases the apparent affinity for extracellular K+ (K+o) activation of Na,K-pump current by a similar degree (see eq. 2 in Peluffo et al. (9)). The VM independence of Na,K-pump current block by TEA leads one to the conclusion that, although TEA competes with K+o, the amine does not inhibit the enzyme at K+o binding sites because K+o dissipates 30–40 % of the membrane electric field as it binds and activates Na,K-ATPase turnover (9,1214). Even though the relationship between electrical and physical distances in the enzyme is not known, it seems reasonable to suppose that TEA, which has the same charge and is approximately the same size of a K+ ion with a single hydration shell, would dissipate a similar fraction of the membrane electric field if it inhibited the enzyme at the same site where K+ binding occurs. Thus, like cardiac glycosides (15), TEA inhibition of the Na,K-ATPase is competitive with K+ but might reflect interaction of the blocker with a site or enzyme conformation other than that for K+ binding, as noted by Kropp and Sachs (8) for another quaternary amine, tetrapropylammonium ion. For this reason, TEA inhibition of Na,K-pump current, while interesting, would only provide limited information about ion binding and transport by the Na,K-ATPase.

The benzylic analogue of TEA, benzyltriethylammonium ion (BTEA), has also been shown to inhibit Na,K-pump current in a manner that is competitive with K+o activation (9) and slow release of 86Rb+ occluded by the Na,K-ATPase (6). However, BTEA inhibits Na,K-pump current in a VM-dependent manner. Specifically, BTEA appears to produce greater current block at more negative VM. Furthermore, the fraction of the membrane electric field dissipated during BTEA inhibition is similar to the fraction of the electric field dissipated during K+o activation of ion transport (9). In other words, the binding sites for BTEA and K+ in the Na,K-ATPase appear to have similar electrical properties. Given the competitive nature of the BTEA and K+ interaction, a reasonable conclusion is that BTEA inhibits the Na,K-ATPase at or near a K+ binding site responsible for stimulating enzyme turnover (9). If this conclusion is correct, BTEA or similar compounds might become valuable probes to understand K+ binding reactions by the Na,K-ATPase and possibly as leading compounds to develop novel inhibitors of this enzyme.

Should the Na,K-ATPase be unable to occlude BTEA or similar compounds, they would be the first probes to allow investigation of VM-dependent ion binding, distinct from subsequent occlusion and transport reaction steps by the Na,K-ATPase. In that case, one prediction is that a compound undergoing VM-dependent ion binding should produce movement of charge in the membrane electric field. These charge movements should only be seen under pre-steady state conditions, analogous to electroneutral K+-K+ exchange conditions in which Tl+o-dependent transient charge movements have been observed previously (12). Nonetheless, a critical distinction should exist between charge movements produced by BTEA-like compounds and those produced by Tl+ and other transported ions, such as K+ and Na+. Movement of Tl+ in the electric field is thought to be diffusion limited, so that the rate of transient charge movements reflects kinetics of slow enzyme conformational changes subsequent to ion binding (5, 12, 16,17). By comparison, if not occluded, quaternary amines would yield measurable charge movements whose rates would reflect kinetics of binding that are not diffusion-limited. The experiments in this report were therefore undertaken to test these predictions and derive information regarding ion binding reactions from such charge movements.

The first high resolution structure for the Na,K-ATPase has been published (18). Nonetheless, our understanding of the conformational changes that accompany ion transport by P-type ATPases relies largely on structures for SERCA (1921). To see if quaternary amines inform us about extracellular ion binding reactions by the Na,K-ATPase, amine binding to Na,K-ATPase was simulated with homology models, based on SERCA (22). The results of these simulations suggest why some quaternary amines inhibit the Na,K-ATPase in a VM-dependent manner.

Portions of this work have appeared previously in abstract form (2326).

EXPERIMENTAL PROCEDURES

Na,K-ATPase activity assay

The activity of canine kidney Na,K-ATPase (Sigma Chemical Co., St. Louis, MO) was determined by a 7-methyl guanosine-based fluorescence assay developed as a modification of the method of Banik and Roy (27). Briefly, the enzyme (15 μg ml−1) was incubated at 37°C in the presence of (in mM) 130–150 NaCl, 3 ATP, 4 MgCl2, 10 Tris-HCl, pH 7.5, and various concentrations of KCl (0–20), so that the total NaCl + KCl concentration was 150 mM, along with 0.045 mM 7-methyl guanosine, nucleoside phosphorylase (0.1 U ml−1), and bovine serum albumin (0.1 mg ml−1). The enzyme reaction was stopped after 15 min by addition of 50 mM Na2EDTA (pH 7.5 with Tris). Fluorescence intensity was measured at 410 nm following illumination at 300 nm with a scanning fluorimeter (Varian Instruments) and calibrated against known phosphate concentrations.

Occlusion measurements

Na,K-ATPase was partially purified from pig kidney (28). The specific activity of enzyme preparations was 19–28 μmol Pi (mg protein)−1 min−1 measured in the presence of (in mM) 150 NaCl, 20 KCl, 3 ATP, 4 MgCl2, and 25 Imidazole-HCl, pH 7.4, at 37°C. Occluded Rb+ was measured as described (4) using 86Rb+ as a K+ congener. Briefly, reactions were carried out in a rapid-mixing apparatus (SFM4, Bio-Logic, France) connected to a chamber that contained a Millipore filter through which an ice-cold solution of 30 mM KCl and 5 mM Imidazole-HCl (pH 7.4 at 0–2°C) was flowing at a rate of 40 ml/s. As this reaction mixture was injected into the chamber, quenching occurred due to a sudden drop in temperature and ligand concentration. The enzyme was retained and washed on the Millipore filter. Under quenching conditions, occluded ions are released very slowly from the Na,K-ATPase (14) so that the level of radioactivity retained on the filters can be counted to determine the amount of occluded Rb+.

The steady-state amount of occluded Rb+ was measured after incubating the enzyme for 10 s in the reaction media containing (in mM) 5 NaCl, 1 MgCl2, 0.010 ATP, 0.25 EDTA, 25 Imidazole-HCl (pH 7.4 at 25°C) with different concentrations of 86Rb+ and BTEA. In all cases, non-specific binding was estimated from similar experiments except that ATP was omitted during enzyme reactions.

In determining the time course of Rb+ occlusion, enzyme was first phosphorylated by incubation in reaction media for 2 s to ensure steady-state conditions for Na-ATPase activity. After this incubation period, the enzyme was mixed with the same media containing 86Rb+ with or without BTEA and the resulting mixture was aged for different times before quenching and washing. Pre-incubation experiments were carried out by adding 86Rb+ to a suspension of the enzyme in equilibrium with 5 mM BTEA or adding BTEA to the enzyme together with 86Rb+. In these experiments, final concentrations of BTEA and RbCl were 5 mM and 200 μM, respectively.

Whole-cell patch clamp

Ventricular myocytes were enzymatically isolated from rat hearts and voltage-clamped with patch electrodes (1.0–1.5 MOhms), as published previously (29). Whole-cell voltage clamp and solution change protocols were performed as previously outlined (9). Na,K-pump current was defined as an extracellular K+ (K+o)-activated outward current that was reversibly inhibited in the presence of 1 mM ouabain (Supplemental Fig. 1C, D). Experiments were performed at 37°C in Na+-free superfusion solutions containing (in mM): 145 N-methyl-D-glucamine (NMG) chloride, 2.3 MgCl2, 0.2 CdCl2, 5.5 dextrose, 10 HEPES (pH 7.4 with Tris). KCl was added to this solution in various concentrations (0.05–5 mM). After initial experiments, 145 mM NMG was substituted with equimolar tetramethylammonium (TMA) chloride in all solutions. The reason for this change was that TMA appeared to have no effect on Na,K-pump current, i.e there was no change in maximal current measured with 5 mM K+o or current measured with 0.2 mM K+o, a value close to the concentration of K+o that produces half-maximal activation of Na,K-pump current (see Supplemental Fig. 1A, B). On the other hand, TMA blocked contaminating ionic currents more completely than NMG, and this property was a distinct advantage when attempting to measure activation of the Na,K-ATPase in cells with a high density of K+ channels. Thereafter, other organic quaternary amines were added to superfusion solutions by equimolar substitution with TMA chloride.

The patch electrode solutions contained (in mM): 115 Na+, 85 sulfamic acid, 20 TEA chloride, 10 ATP - Mg2+ salt, 5 pyruvic acid, 5 creatine phosphate - Tris salt, 10 EGTA - Tris salt, and 10 HEPES (pH 7.35 with NaOH).

For measurements of transient charge movements, protocols were followed as previously outlined (12). Experiments were performed at 18–20°C with Na+ and K+-free superfusion solutions containing (in mM): 145 TMA chloride, 2.3 MgCl2, 0.2 CdCl2, 5.5 dextrose, 10 HEPES (pH 7.4 with Tris). The acetate salt of Tl+ (TlAc) and the bromide salt of pNBTEA were added to this solution as indicated. The patch electrode solution contained (in mM): 130 mM K+, 20 TEA chloride, 9.1 MgCl2, 0.7 ATP - Mg2+ salt, 30 phosphate (H2PO4 + HPO42−), 1 EGTA, 66 Aspartic acid, 10 HEPES pH 7.3 (20°C). Magnesium Phosphate concentration was calculated to be 1.3 mM.

Statistics and Curve-fitting

Data are presented as mean ± S.E.M. for the indicated number of replicates or cells. Current density was calculated by dividing K+o-activated currents by cell capacitance measured as the integral of current elicited with 5 mV pulses. The quantity of charge moved (ΔQ) was calculated as ouabain-sensitive charge divided by cell capacitance. Indicated functions were fit to the data with a non-linear least-squares algorithm available in commercial software (SigmaPlot, SPSS) using statistical weights proportional to (S.E.M.)−1.

Reagents

[86Rb]RbCl (86Rb+) was from NEN Life Science Products. All other reagents were from Sigma-Aldrich Chemical Co. and were of analytical grade or higher.

Synthesis of pNBTEA (para-nitrobenzyltriethylammonium bromide)

Para-nitrobenzyl bromide was refluxed in ethanol with excess triethylamine for 64 hours. The reaction product was precipitated in methanol/ether and washed repeatedly in ether (Supplemental Fig. 2). Product identity was confirmed by infrared and NMR spectroscopy and by elemental analysis. Impurities were below the detection limits of these techniques.

Molecular Modeling of Na,K-ATPase and Quaternary Amine Docking

The primary sequences of the rabbit Ca2+-ATPase (accession no: P04191) and the rat Na,K-ATPase (accession no: P06685) were obtained from the Swiss-Prot sequence repository (30). Pairwise sequence alignment was performed using the multiple sequence alignment program ClustalW (31). The alignment was manually corrected to avoid gaps in the transmembrane regions. Overall, the sequences showed 29% homology, however, the homology increased to 39% in the transmembrane regions. The homology model of the rat Na,K-ATPase was constructed with this alignment using the crystal structure of Ca2+-ATPase in the E2P conformation (PDB ID code 3B9B) (21) as the template for Modeller, version 9 (32). The model was then refined using a standard energy minimization protocol followed by constrained molecular dynamics with a production run of 1 ns. All simulations were performed using the Amber force field program, version 9 (33).

The GOLD program, version 3.0 (34), was used for docking TEA and BTEA to the ATPase model. Given the non-deterministic nature of the genetic algorithms used in GOLD, 50 different runs were performed and scored using the default Goldscore and Chemscore (35). The docked complexes were energy minimized using the Amber force field program (33).

RESULTS

Aside from the finding that BTEA inhibits Na,K-pump current (9), the only other report of BTEA effects comes from the work of Forbush (6) who showed that this quaternary amine slows the rate of 86Rb+ release from microsomal preparations of the enzyme. Therefore, in order to fully understand the mechanism of enzyme inhibition by BTEA, a more complete biochemical characterization was undertaken. Figure 1 shows the most straightforward experiments in this characterization, the effect of BTEA on the K+ dependence of Na,K-ATPase activity determined with an in vitro coupled enzyme assay. With increasing concentrations of BTEA, a rightward shift in the K+ concentrations that activated enzyme turnover was observed. These data were analyzed with Scheme 1 in which quaternary amines (Q) are assumed to inhibit Na,K-ATPase (E) in a manner that is competitive with K+ activation of enzyme turnover. This assumption is based on previous data showing that TEA and BTEA competitively inhibit K+o activation of Na,K-pump current (9) and on Na,K-ATPase activity data suggesting that 3 and 10 mM BTEA did not significantly affect Vmax (not shown). In addition, the stoichiometry with which these amines inhibit the Na,K-ATPase is unknown (9), so we analyze the data using a Hill formalism. Simultaneous fitting of the normalized enzyme activity (NA) with eq. 1,

Figure 1
Effect of BTEA on the K+-concentration dependence of Na,K-ATPase activity. ATP hydrolysis rates were determined with a fluorescence assay (see Methods) in the presence of 0 (●; n = 8), 3 (○; n = 6), and 10 mM BTEA ([triangle]; n = 9). Data ...

NA=[1+(KK[K+])nK(1+([Q]KQ)nQ)]1
(1)

derived from the steady-state solution for Scheme 1, showed that the concentration of K+ producing half-maximal activation of enzyme activity (KK) was 0.86 ± 0.04 mM while the BTEA concentration producing half-maximal inhibition of enzyme activity (KQ) was 1.11 ± 0.30 mM. The Hill coefficient for K+ (nK) was 1.37 ± 0.05, consistent with Rossi and Garrahan (36). The sigmoidicity of the relationship between K+ and Na,K-ATPase activity, indicated by the value of nK being greater than 1, is shown more clearly in the inset of Fig. 1. The Hill coefficient for amine inhibition of enzyme activity (nQ) was 0.85 ± 0.11. These data are consistent with our previous measurements of Na,K-pump current (9) that suggest BTEA is a low-affinity competitive inhibitor of enzyme activity.

Effects of BTEA on Rb+ occlusion

Since BTEA competitively inhibits K+ activation of Na,K-ATPase activity, this quaternary amine could also inhibit K+ binding and occlusion by the Na,K-ATPase in a similar manner. To examine this point, the effect of BTEA on steady-state enzyme occlusion of the K+ congener, Rb+, was measured in the presence of Na+, Mg2+ and ATP (the “physiologic route” for occlusion). As shown in Figs. 2A and B, BTEA shifted the Rb+ concentration dependence of Rb+ occlusion to the right. Fitting the data at each BTEA concentration with a Hill equation showed that maximal occlusion levels did not significantly change but the Rb+ concentration yielding half-maximal occlusion (KRb) increased in the presence of the amine (not shown). Steady-state levels of Rb+ occlusion were also plotted as a function of inhibitor concentration (Fig. 2C). The data plotted in this way were then used to calculate values of KQ for the reduction of Rb+ occlusion by BTEA (KBTEA). These values are shown as a function of Rb+ concentration (Fig. 2D) to demonstrate that Rb+ also antagonized the ability of BTEA to inhibit Rb+ occlusion.

Figure 2
Steady-state levels of occluded Rb+ as a function of [Rb+] and [BTEA]. A. Effect of BTEA on the Rb+-concentration dependence of Rb+ occlusion. Na,K-ATPase was incubated for 10 s in media containing 10 μM ATP, 5 mM NaCl, 1 mM MgCl2 (0.75 mM free ...

The effect of BTEA on Rb+ occlusion and, conversely, the effect of Rb+ on BTEA inhibition of occlusion are consistent with BTEA being a competitive inhibitor for Rb+ occlusion. This finding allowed the entire data set to be simultaneously fit using eq. 1, scaled to the calculated Bmax. KRb was found to be 13.5 ± 0.4 μM, while KBTEA was 0.88 ± 0.09 mM, similar to the value of KQ observed in Fig. 1. The Hill coefficients for the Rb+ dependence (1.61 ± 0.04) and BTEA inhibition (0.95 ± 0.05) of occlusion were also consistent with those parameters derived from measurements of Na,K-ATPase activity. The positive cooperativity in the Rb+ activation of ion occlusion, which probably reflects binding of two Rb+ as a requirement for occlusion via the physiologic route (37), is indicated by the sigmoidicity of the relationship between occlusion and Rb+ concentration in Fig. 2B and the nonlinearity in the relationship between KBTEA and Rb+ concentration in Fig. 2D. Conversely, the Hill coefficient for BTEA inhibition of Rb+ occlusion calculated above suggests that a single molecule of BTEA is capable of preventing K+ occlusion by the enzyme. This behavior is also consistent with competition between the amine and K+ for activation of Na,K-ATPase activity.

To determine if BTEA binding to the enzyme is rapid, the time course of 86Rb+ occlusion was measured in the presence and absence of 2 mM BTEA (Fig. 3). The concentration of Rb+ used in these experiments, 10 μM, was close to the KRb determined in Fig. 2. As above, the enzyme was incubated in the presence of Na+, Mg2+ and ATP. At time 0, 86Rb+ was added to this solution with or without BTEA, and the reaction was then stopped at various times thereafter by extensive washing in quenching solution at 0 – 2°C. Under these conditions, only the 86Rb+ that binds to and becomes occluded within the enzyme will be measured (4).

Figure 3
Effect of BTEA on the time course of Rb+ occlusion. A. Na,K-ATPase was incubated for 2 s at 25°C with a solution containing 10 μM ATP, 5 mM NaCl and 0.75 mM free Mg2+. This time ensured steady-state Na+-ATPase activity. After this incubation, ...

The results of these experiments (Fig. 3A) show that BTEA decreased the steady-state amount of occluded Rb+, as expected from the data in Fig. 2. Fitting double exponential functions to the data (solid curves) also allowed the initial rates of occlusion (shown more clearly in Fig. 3B) to be calculated as 2.63 ± 0.18 and 0.76 ± 0.03 nmol Rb+ (mg protein)−1 s−1 in the absence and presence of BTEA, respectively. This decline in the initial rate of occlusion suggests that BTEA decreased the amount of enzyme immediately available to occlude Rb+. Since K+ (and Rb+) binding to the enzyme is rapid (12), the amine-dependent decrease in initial velocity of Rb+ occlusion suggested that BTEA binding is also rapid.

A second set of experiments was also performed to determine if BTEA becomes occluded in the Na,K-ATPase. For this purpose, we compared how the rate of Rb+ occlusion was affected when the Na,K-ATPase was pre-incubated with 100 μM K+ or 5 mM BTEA for 1 hr. 86Rb+ was then added without additional ligands (the “direct” route for occlusion) so that the concentration of K+ or BTEA remained constant throughout the experiment. The reasoning behind this design is that, with pre-incubation, ligand binding will be in equilibrium so that the rate of Rb+ occlusion should be limited by the dissociation of K+ or BTEA from the enzyme (38). K+, like Rb+, is occluded by the Na,K-ATPase (3), so its dissociation from the enzyme is slow (1,3,4,39). As a consequence, when 86Rb+ is added, a large fraction of the enzyme binding sites are occupied, so the rate of Rb+ occlusion is expected to be slow, as is shown in Fig. 4A (inverted triangles), where the initial rate of Rb+ occlusion was calculated to be 0.19 ± 0.02 nmol (mg protein)−1 s−1. In contrast, when Na,K-ATPase was pre-incubated with BTEA, the initial rate of Rb+ occlusion (calculated to be 16.9 ± 5.7 nmol (mg protein)−1 s−1) was not significantly different than when 86Rb+ and 5 mM BTEA were added simultaneously to the enzyme preparation (calculated to be 13.2 ± 2.2 nmol (mg protein)−1 s−1). Since the final composition of the reaction media during Rb+ occlusion was the same, irrespective of the pre-incubation period, occluded Rb+ reached similar equilibrium values (Fig. 4A, inset). These experiments showed that the initial rate of Rb+ occlusion was not significantly reduced by the presence of BTEA. Additional experiments were also performed in which the concentration of BTEA during the pre-incubation period was 50 mM (data not shown). Pre-incubation with this 10-fold higher amine concentration, likewise, did not reduce the initial rate of Rb+ occlusion.

Figure 4
Effect of preincubation with K+ or BTEA on the time course of Rb+ occlusion at 25°C. A. 200 μM Rb+ and 5 mM BTEA were either mixed simultaneously with Na,K-ATPase (○) or the enzyme was incubated with 5 mM BTEA for 1 hr before adding ...

To understand more clearly the data obtained with BTEA, a general time-dependent solution for the three-state model in Scheme 1 was derived and, from this solution, a general expression for the initial rate of Rb+ occlusion (r0) was determined (see Supplemental Material) to be

r0=νkRb[Rb+]nRb
(2)

where ν is the fraction of total enzyme available to bind and occlude Rb+ ([E]/[E]T), and kRb is the forward rate constant for Rb+ binding that describes slow occlusion reactions under these experimental conditions (4). When bound and free BTEA are at equilibrium,

r0=kRb[Rb+]nRb/{1+([Q]/KQ)}=kRb[Rb+]nRb(1u)
(3)

where u equals the fraction of amine-bound enzyme (see Supplemental Material). From a kinetic standpoint, equilibrium can be reached through fast or slow binding and dissociation reactions. This kinetic distinction is pertinent to the data in Fig. 4A because the concentration of BTEA during 86Rb+ occlusion was the same with and without pre-incubation, so that eq. 3 predicts that r0 would be unaffected by pre-incubation only if BTEA rapidly bound to and dissociated from the Na,K-ATPase, i.e. BTEA binding was in rapid equilibrium, as shown in Fig. 4B. Conversely, if BTEA was occluded, it would undergo slow dissociation reactions, like K+. In this case, eq. 3 predicts that pre-incubation with BTEA would decrease r0 in proportion to the fraction of amine-bound enzyme (Fig. 4C). Clearly, the data in Fig. 4A are similar to the simulations in Fig. 4B, consistent with rapid BTEA dissociation. Thus, measuring 86Rb+ occlusion via the physiologic and direct routes demonstrated that amine binding and dissociation reactions are rapid, and this result serves as a demonstration that BTEA is not occluded by the Na,K-ATPase.

VM dependence of Na,K-pump current inhibition by several quaternary amines

In addition to being a competitive inhibitor of Na,K-ATPase activation by extracellular K+, our previous work showed that BTEA inhibits the enzyme in a VM-dependent manner (9). The structurally related congener, TEA, is also a competitive inhibitor of K+ (7,9) but this quaternary amine blocks enzyme turnover in a VM-independent manner (9,11). Supplemental Materials summarize how Na,K-pump current data can be analyzed to describe VM-dependent properties of enzyme inhibitors. To quantify properties of Na,K-pump current inhibition, this analysis uses eq 4:

K0.5=K0.50exp(ϕU)
(4)

where K0.5 is the K+o concentration for half-maximal Na,K-pump current activation, K00.5 is the value of K0.5 at 0 mV, U=VMF/RT, and ϕ is a dimensionless scalar (0 ≤ ϕ ≤ 1) that modifies the influence of VM on K0.5. When ϕ is significantly less than λK (0.37 ± 0.02), the scaling factor that describes the VM dependence for K+o activation of Na,K-pump current (9), the enzyme inhibitor blocks Na,K-pump current in a VM-dependent manner.

Figure 5A shows the effect of 20 mM benzyltrimethylammonium (BTMA) on the K+o dependence of Na,K-pump current measured at 0 mV. Fitting these data and those measured at VM between −100 and +40 mV with Hill equations showed that, similar to TEA and BTEA, BTMA had little effect on maximal Na,K-pump current density (Imax) or the Hill coefficient for K+o activation for Na,K-pump current (nK). In the absence of the quaternary amine, fitting the data with eq. 4 showed that K00.5 and ϕ were 204 ± 4 μM and 0.39 ± 0.01. In the presence of BTMA, K0.5 was increased at all VM tested (Fig. 5B). Fitting the K0.5 values with eq. 4 showed that K00.5 and ϕ were 534 ± 10 μM and 0.35 ± 0.01, respectively. Values of ϕ in the presence and absence of BTMA were similar to λK and similar to the value of ϕ in the presence of TEA (0.34 ± 0.02). This similarity suggests that BTMA, like TEA, is a VM-independent blocker (see Supplemental Materials).

Figure 5
Effect of BTMA on the VM and K+o concentration dependence of Na,K-pump current. A. K+o dependence of Na,K-pump current at 0 mV in the absence (●; n = 14) and presence of 20 mM BTMA (○; n = 10). Curves represent solutions of a Hill equation ...

The effect of the p-nitro derivative of BTEA (pNBTEA) on Na,K-pump current was also examined to determine if addition of substituents on the benzylic ring would fundamentally alter the VM-dependent Na,K-pump inhibition observed with BTEA. First, pNBTEA was a considerably more potent inhibitor of Na,K-pump current than BTEA since 0.1 mM of the amine produced a large change in the K+o dependence of current activation (Fig. 6A). Second, as with other quaternary amines, this change in Na,K-pump current activation was accompanied by little change in Imax and nK, but significant increases in K0.5 at all VM tested (Fig. 6B). Fitting eq. 4 to K0.5 values showed that K00.5 in the presence of 0.1 mM pNBTEA was 509 ± 6 μM and ϕ was 0.13 ± 0.01. In this case, ϕ is significantly less than λK, so that we concluded that pNBTEA is a VM-dependent inhibitor, similar to its parent compound.

Figure 6
Effect of pNBTEA on the VM and K+o concentration dependence of Na,K-pump current. A. K+o dependence of Na,K-pump current at 0 mV in the absence (●; n = 14) and presence of 0.1 mM pNBTEA (○; n = 13). Curves represent a Hill equation calculated ...

In addition to these compounds, we also tested the properties of tetrapropylammonium (TPA) and benzyltripropylammonium (BTPA) ions on Na,K-pump current. Both compounds inhibited K+o-dependent current activation in a competitive manner at millimolar concentrations, but did not display an obvious VM dependence in their actions. This analysis is summarized in Table 1 for all compounds tested.

Table 1
Effect of organic quaternary amines on the apparent K0.5 for K+o activation of Na,K-pump current at 0 mV (K00.5) and the dimensionless scalar (ϕ).

Experiments were also attempted with long-chain aliphatic TEA derivatives (n-hexyl- and n-decyl-triethylammonium ions) that have been shown to inhibit K+ channels (40). However, these compounds did not show rapidly reversible inhibition of Na,K-pump current (data not shown), so that it was not possible to analyze their VM-dependent inhibitory properties.

pNBTEA-dependent transient charge movements mediated by the Na,K-pump

VM-dependent inhibitors are predicted to produce movement of charge in the membrane electric field during binding reactions. One approach to study movement of charge in the electric field is to trap the Na,K-ATPase in a subset of conformations that only allow the enzyme to shuttle between ion-bound and ion-free states (12). The presence of a charge-moving reaction between these enzyme states will then be revealed by step changes in membrane potential because the fraction of ion-bound enzyme will change with the strength of the membrane electric field. Quaternary amine-dependent charge movements, if they occur, should be measured as ouabain-inhibitable transient currents, analogous to those previously reported for extracellular Na+ (41) and K+ (12). To test this prediction, we attempted to measure pNBTEA-dependent capacitative membrane currents in whole-cell voltage-clamped rat cardiac ventricular myocytes. Cells were voltage-clamped at a holding potential of −40 mV using patch electrodes backfilled with a Na+-free solution containing 130 mM K+ and 1.3 mM magnesium phosphate during superfusion with a Na+- and K+-free, 145 mM TMA-containing external solution that also included pNBTEA. Except for the replacement of extracellular K+ (or Tl+) with pNBTEA, these solutions are similar to those used to detect K+- and Tl+-dependent charge movements by the Na,K-pump under conditions that promote non-canonical electroneutral K+-K+ exchange (12). The voltage-clamp protocol (see Methods) was applied in the presence of 0.1 mM pNBTEA before, during, and after exposure to 1 mM ouabain (see timeline in Fig. 7A). Under these conditions, 80 mV depolarizing voltage steps applied 10 s before (Fig. 7B1) or after 2 min in the presence of ouabain (Fig. 7B2) elicited the currents shown. Subtraction of these two current tracings yielded an ouabain-sensitive difference current (Fig. 7B3). As shown previously (12), transient difference currents are not observed in this external solution unless it also includes a non-saturating concentration of an ion that participates in VM-dependent reactions with the Na,K-pump. Since 0.1 mM pNBTEA significantly, though not completely, inhibits steady state Na,K-pump current, these difference currents appear to be pNBTEA-dependent charge movements. To determine the quantity of charge moved (ΔQ), the time integrals of the difference current generated during a step change in VMQon) and following return to the holding potential (ΔQoff) were calculated separately. In Fig. 7B3, ΔQon and ΔQoff were calculated to be 1.23 and −1.18 pC, respectively, as expected for a reversible charge-moving reaction process.

Figure 7
Quaternary amine-dependent transient charge movements. A. Time course of the experiment. The letters (a–e) indicate the time when current-voltage relationships were determined with 100 ms long voltage-clamp steps from the holding potential of ...

Ouabain-sensitive difference currents elicited by voltage clamp pulses from−40 mV to−100, −60, −20, +20, and +60 mV are also shown in Fig. 7C. In these traces, ΔQon at −100 and +60 mV were −4.75 and 7.90 fC/pF, respectively. Here, currents are normalized to cell capacitance to allow easier comparison between cells. Superimposed best-fit curves at the onset of the voltage pulses suggested a single exponential current relaxation process, with apparent rate constant values (ktot) of 926 and 990 s−1 at −100 and +60 mV, respectively. At all VM tested, difference currents decayed at rates that were at least 4-fold slower than charging of linear membrane capacitance (typical clamp time constants: 210–330 μs).

To assess whether the voltage clamp was stable throughout the experiment, control calculations were performed by subtracting current traces obtained at two times prior to ouabain application (“a” and “b” in Fig. 7A) as well as before ouabain application compared to 6 min after ouabain washout (Fig. 7A, “a” and “e”, respectively). In both cases, difference currents would reflect time dependent changes in voltage clamp properties since conditions were identical for both measurements contributing to the difference currents. In the first instance, the difference currents (Fig. 7D) were quite small, with the integral of the currents being approximately 5% of that shown in Fig. 7C. In the second control calculation (Fig. 7F), difference currents were slightly larger, but the calculated charge was still a small fraction (approximately 15%) of the ouabain-sensitive charge calculated in Fig. 7C. These controls demonstrated that voltage clamp stability was good over the time course needed to measure ouabain-sensitive charge movements. The current traces displayed in Fig. 7E were calculated from currents measured after 1 and 2 minutes of ouabain application (“c” and “d” in Fig. 7A, respectively). These difference currents probably reflected incomplete inhibition of pNBTEA-dependent charge movement after 1 min in the presence of the cardiac glycoside. Therefore, ouabain was allowed to act for 2 min (“d” in Fig. 7A) before obtaining difference currents in Fig. 7C and subsequent experiments.

Experiments in 5 cells included 20 mM TEA in the superfusion solution instead of pNBTEA. This concentration of TEA produces a substantial inhibition of Na,K-pump current. In these experiments, non-linear ouabain-sensitive difference transient currents were not observed. Transient difference currents were observed (see Supplemental Fig. 4); however, these currents had rate constants only slightly slower than those for charging linear membrane capacitance, and the rate constants showed little dependence on VM. Integration of these difference currents showed that this ouabain-sensitive charge did not clearly saturate at extreme VM, i.e. it is linear capacitative current, and was approximately 15% of that observed in the presence of pNBTEA at the same VM. Based on these data, TEA-dependent transient currents did not fit criteria for kinetically distinguishable non-linear charge movements (see below) and were not analyzed further. The absence of a kinetically distinguishable TEA-dependent non-linear charge movement, however, was consistent with its VM-independent block of Na,K-pump current.

To appreciate the properties of pNBTEA-dependent charge movements, Tl+o-dependent transient currents previously described under conditions favoring electroneutral K+-K+ exchange are an obvious point of reference (12). For this reason, transient charge movements were measured in voltage-clamped cardiac myocytes under identical conditions except for the presence of Tl+o or pNBTEA (both at 0.1 mM). Typical data in Fig. 8 show ouabain-sensitive difference currents produced by a depolarizing voltage step from the holding potential to 0 mV for Tl+o (panel A) and pNBTEA (panel B) from the same myocyte. Fitting exponential functions to the decaying portion of the curves yielded ktot values of 430 ± 7 s−1 and 823 ± 14 s−1 for Tl+o- and pNBTEA-dependent charge movements, respectively. Aside from this difference in decay rate, both currents appeared to be quite similar.

Figure 8
Comparison of Tl+o- (top) and pNBTEA-dependent transient currents (bottom). In both conditions, the cell was superfused with 100 μM of the charge carrier and voltage clamp steps to 0 mV were elicited. Ouabain-sensitive difference currents were ...

VM dependence of the steady-state charge distribution

Figure 9A shows that ΔQon was similar to ΔQoff at all tested VM, and both measures of charge movement tended towards saturating values at negative and positive potentials. This result is expected when a finite number of charged particles move in the membrane electric field during reversible reactions, and it permits analysis of the data with a Boltzmann function (solid lines in Fig. 9A):

ΔQ=Qmin+Qtot1+exp[zqF(V1/2VM)/RT]
(5)

where Qtot = QmaxQmin is the total quantity of mobile charge, zq represents the apparent valence obtained from steady-state charge distribution measurements, and V1/2 is the membrane potential at which half the mobile charge has moved, in this case when half the enzyme is in the ion-bound state. Best-fit parameters for ΔQon and ΔQoff are shown in Table 2 together with the corresponding values for Tl+o-dependent charge movements. Two distinct features emerge from inspection of this Table. First, the absolute value of Qtot for pNBTEA charge movements is not significantly different from Qtot for Tl+o-dependent charge movements. Second, the apparent valence of the mobile charges was similar in all cases. These data show that the steady state distribution of non-linear charge during pNBTEA-mediated transient currents shared important characteristics with Tl+o-dependent charge movements.

Figure 9Figure 9
VM dependence and kinetics of pNBTEA-dependent charge movement. A. VM dependence. Ouabain-sensitive charge calculated during voltage pulses to the indicated VMQon) and after returning to the holding potential (ΔQoff) are indicated by ...
TABLE 2
Parameter values for 100 μM pNBTEA-a and Tl+o-dependent charge movementsb.

VM-dependent kinetics of current relaxation

To study the effect of VM on the kinetics of transient current decay, the apparent rate constant for current relaxation (ktot) was obtained at all VM tested by fitting single exponential functions to the decaying portion of ouabain-sensitive current traces, as shown in Fig. 7C. The results of this analysis are summarized in Fig. 9B as ktot-VM relationships for 0.1 mM Tl+o- (open circles) and pNBTEA-dependent charge movements (filled circles). In the case of Tl+, ktot for the relaxation of ‘on’ current became smaller at less negative voltage-clamp pulses and asymptotically reached a minimum at positive VM, as previously described (12). By comparison, pNBTEA displayed a “U”-shaped ktot-VM relationship, with a minimum at 0 mV. Analysis of the data (dotted and solid curves in Fig. 9B) was performed by fitting the following equation:

ktot(VM)=kf0exp[δλFVM/RT]+kr0exp[(1δ)λFVM/RT]
(6)

where kf0 and kr0 are pseudo-first-order forward and first-order reverse rate constants at zero VM, respectively; δ is a symmetry factor (0 ≤ δ ≤ 1) that apportions the effect of VM on the forward and reverse reaction steps, and λ represents the apparent charge moved in the membrane electric field. Best-fit parameters derived from fitting eq. 6 to the data are shown in Table 3. Most notable among these parameters is the symmetry factor (δ) for pNBTEA, δ = 0.32 ± 0.04, significantly less than 0.5. This value shows that approximately 70% of the VM dependence of ktot rests on the reverse reaction. In the case of Tl+, on the other hand, a symmetry factor value not significantly different than 1.0 indicates that the VM dependence of the apparent rate constant for current relaxation lies largely on the forward reaction. Finally, no difference was observed between the apparent valences of the mobile charges. These results show that, despite their similarities, pNBTEA and Tl+o-dependent charge movements display marked differences in VM-dependent kinetics.

TABLE 3
Parameter valuesa describing the VM dependence of ktot

Quaternary amine binding sites in the Na,K-ATPase accessible from the extracellular space

Data in this and previous studies (79,11) show that quaternary amines competitively inhibit K+o activation of ion transport, enzyme activity, and Rb+ occlusion by the Na,K-ATPase. These results might predict that quaternary amines bind at a K+ site; however, the negative cooperativity of enzyme inhibition (see Figs. 5, ,6,6, and Supplemental Fig. 3) hints at a more complex interaction with the enzyme. To explore possible binding sites for quaternary amines, energy-minimized homology models of the rat Na,K-ATPase α1 subunit were constructed using the E2P-like crystal structure of SERCA (3B9B) bound with BeF3 (21). This structure was chosen for modeling because it represents the open enzyme conformation to which extracellular quaternary amines and K+ would most likely bind in the ion transport cycle. The resulting homology model is shown in Fig. 10 as a ribbon structure restricted to transmembrane helices and portions of the enzyme’s extracellular loops.

Figure 10
BTEA binding sites predicted in a homology model of the Na,K-ATPase α1 subunit. The homology model for the rat α1 subunit is based upon the SERCA 3B9B structure (21). A. Ribbon structure predicted for transmembrane helices and portions ...

Docking of TEA and BTEA to this structure with GOLD suggested that both quaternary amines bind in an area between extracellular loops TM 1–2, TM 3–4, TM 5–6, and TM 7–8 designated as “QA1” (Fig. 10A). The simulations suggested that two types of interactions are possible in this area. The positively charged ammonium moiety of TEA could interact with backbone carbonyls, such as I305 and L306, as well as side-chain oxygens of residues such as E307 (Fig. 10B), that form a slightly electronegative extracellular surface of the enzyme, similar to the luminal surface of SERCA (2022). The benzylic ring of compounds such as BTEA would also be capable of non-polar and π-bonding interactions with non-polar amino acid side-chains in extracellular loops. Interestingly, simulations showed that π-bond interactions with F316 (Fig. 10B) were responsible for the majority of the calculated free energy change with BTEA binding at QA1.

A second amine binding site, designated “QA2” (Fig. 10A), that overlaps with the K+ binding sites located between TM 4, 5 and 6 (18) was also predicted by this homology model. The positively-charged ammonium nitrogen of BTEA was predicted to interact with oxygen atoms in the side-chains of E327, E779, and D804 (Fig. 10C). These residues have been implicated in K+ binding by mutagenesis studies (14,4245). Interestingly, the ammonium moiety was also close (~5 Å) to both the main chain carbonyl and side chain oxygen of T797, a residue that has been implicated in cardiac glycoside binding (46). The benzyl moiety, on the other hand, appeared to interact with the sides chains of nearby non-polar amino acids (V325, P326, I800, and L801). Supplemental Fig. 5 shows BTEA at QA2 when viewed from the extracellular space above the enzyme to illustrate how this quaternary amine might fit into the binding pocket.

DISCUSSION

Quaternary amines are not occluded by the Na,K-ATPase

One question addressed in this study is whether organic quaternary ammonium ions are occluded by the Na,K-ATPase. This issue was first raised in the context of studies showing that release of occluded 86Rb+ from the Na,K-ATPase occurred as an ordered process involving two separate transport sites, the “f” and “s” sites (2,3). As part of these studies, Forbush (6) found that organic quaternary amines blocked release of 86Rb+ from the “s” site without affecting 86Rb+ release from the “f” site, in a manner that was similar to the ability of K+ or Rb+ to block release of bound 86Rb+ from the “s” site (3). In these experiments, two important differences between quaternary amines and K+ (and its congeners) were noted. First, much higher amine concentrations were required to inhibit 86Rb+ occlusion than to block release of bound 86Rb+ (6), whereas Rb+ blocked 86Rb+ release and inhibited 86Rb+ occlusion at similar concentrations (3). Second, amines blocked release of 86Rb+ from the “s” site only as long as they were in the incubation medium, unlike Rb+ that stabilized bound 86Rb+ even after its removal from the medium (2,3,47). In other words, Rb+ was “remembered” by the enzyme, but quaternary amines were not. These findings led to the conclusion that quaternary amines were capable of binding but, unlike K+, were not occluded by the Na,K-ATPase (6). The inability of these amines to become occluded would also be consistent with their inhibitory effects on ion transport activity (8,10) and Na,K-pump current (9,11).

The limitation of previous work is that no direct tests were performed to determine if quaternary amines are occluded by the Na,K-ATPase. The present experiments were therefore undertaken to determine if quaternary amines participated in an occlusion-like process. Occluded ions are not freely exchangeable with the bulk solution (1), which implies that release of occluded ions is much slower than other ion-dependent reaction steps. In light of this definition, examining the effect of BTEA on the rate of Rb+ occlusion yields two critical results. First, when BTEA and 86Rb+ were added to the enzyme-containing solution simultaneously, the initial rate of 86Rb+ occlusion was decreased. Second, if the enzyme was pre-incubated with BTEA, the initial rate of 86Rb+ occlusion was the same as if the amine and Rb+ were added simultaneously. The first result shows that BTEA binding to the enzyme must be rapid, so that it can effectively reduce the number of available sites for 86Rb+ occlusion, as Rb+ binding is itself rapid (3,12). The second result shows that amine dissociation from the enzyme is rapid. This latter behavior contrasts with that of K+ in Fig. 4A and its congeners where pre-incubation markedly slows the rate of 86Rb+ occlusion (38). These results indicate that the kinetics of BTEA reactions are rapid and inconsistent with K+-like occlusion reactions that are slow under our experimental conditions. Thus, the data demonstrate that BTEA is not occluded by the Na,K-ATPase.

Quaternary amine-dependent transient charge movements

This study is the first report of an organic compound that produces ouabain-inhibitable transient charge movements. pNBTEA-dependent charge movements share several characteristics with ouabain-sensitive transient charge movements produced by the K+ congener, Tl+, but also display some properties not previously observed with Tl+ or Na+. Amine-dependent transient currents move equal amounts of ‘on’ and ‘off’ charge, an indication that VM-dependent reaction steps are rapidly reversible. The maximal amount of charge moved by pNBTEA and Tl+ are quite similar. This result is straightforward enough to interpret because Tl+o- and pNBTEA-dependent charge movements are measured under the same conditions that promote accumulation of enzyme intermediates in E2 conformations of the enzyme and support electroneutral K+ exchange. It is also interesting that the valence of the mobile charge, whether measured from the ΔQ-VM relationship or the ktot-VM curve was the same for pNBTEA and Tl+o. These data indicate that the amine and Tl+o are involved in VM-dependent reactions that move similar amounts of charge with similar dielectric coefficients.

What conclusions can be drawn from these data? First, BTEA must inhibit the Na,K-ATPase by a VM-dependent binding reaction. Peluffo et al. (9) showed that BTEA is a VM-dependent inhibitor and that the quaternary amine competitively blocks K+o activation of Na,K-pump current. Block of an ion translocation reaction by BTEA would produce a non-competitive or of a mixed-type inhibition that would appear as a VM-dependent change in maximal Na,K-pump current, a result that is not observed. Furthermore, the present finding that BTEA is not occluded allows for the conclusion that quaternary amines are only involved in binding reactions with the Na,K-pump. The observation that these binding reactions move charge shows that amine binding is VM-dependent. Thus, we conclude that BTEA inhibits Na,K-pump current by blocking K+o binding via a VM-dependent binding reaction. Simulations of BTEA binding with a homology model of the enzyme suggest that the VM-dependent binding site for the amine would be close to the K+ binding sites located between TM 4, 5 and 6.

Second, the finding that pNBTEA is not occluded by the Na,K-ATPase means that all charge movement occurs during binding reactions. Furthermore, Tl+ and pNBTEA move similar amounts of charge. The implication of this result is that essentially all electrogenicity of extracellular K+ reactions with the enzyme must occur during the binding process. Binding is then followed by an electroneutral occlusion process. This conclusion is unambiguous here whereas that has not been the case in previous studies (5,12,16) because ion binding and subsequent enzyme conformational changes could not be kinetically distinguished.

The ability to kinetically distinguish amine binding and subsequent enzyme conformational changes is shown by the “U” shaped ktot-VM relationship for pNBTEA-dependent charge movements. The shape of the ktot-VM relationship provides important information about the reactions that are being observed during these transient currents. The “U” shape is expected if the forward and backward reactions of the VM-dependent reaction are being observed because, as defined by eq. 6, when VM becomes increasingly positive or negative, one of the two exponential terms becomes large so that the overall rate of the first order process will always increase away from a minimum value around 0 mV. Thus, the present result is observed only because forward and backward VM-dependent reactions for pNBTEA binding are slow enough to be kinetically distinguished from other reactions in our experiments. In contrast, the highly asymmetric ktot-VM relationship for Tl+o shows that (according to eq. 6) the VM dependence of the reverse reaction, i.e. Tl+ release, is not observable in our system. In this case, the inability to observe the VM dependence of Tl+o release implies that a slow VM-independent reaction precedes a very rapid VM dependent reaction, usually assumed to be diffusion-limited (5,12,16,17). In other words, with Tl+ or other ions such as Na+ or K+, binding and subsequent reactions of the ion-bound enzyme cannot be distinguished. Both results are consistent with the binding steps being VM-dependent; however, only in the case of pNBTEA are VM-dependent kinetics of binding reactions actually being observed.

Properties of quaternary amines that produce VM-dependent inhibition of the Na,K-ATPase

Another issue not addressed in previous work (9) is why BTEA inhibits the Na,K-ATPase in a VM-dependent manner when TEA does not. The present data do not provide an unequivocal explanation for this difference. One obvious possibility is that the benzylic moiety of BTEA conveys VM-dependent inhibitory properties. However, neither BTMA and BTPA, also benzyl-containing quaternary amines, show any obvious signs of VM-dependent Na,K-pump current inhibition. Another possibility is that the increased blocking affinity of BTEA simply reveals the inherent VM-dependent nature of quaternary amine binding. This possibility was tested by looking at Na,K-pump current inhibition with the progression of aliphatic side chain-containing amines from TMA to TPA. TMA, at a concentration of 145 mM, showed no inhibition of Na,K-pump current when compared to experiments in which current was measured in a solution substituted with 145 mM N-methyl-D-glucamine to maintain tonicity (see Supplemental Fig. 1), consistent with the results of Gatto et al. (48). As previously published, 27 mM TEA produced half-maximal inhibition of Na,K-pump current at 0 mV (9), but TPA significantly blocked Na,K-pump current at a concentration of 5 mM (Table 1), similar to the 4 mM BTEA concentration that produces half-maximal inhibition of Na,K-pump current at 0 mV (9). Nonetheless, TPA did not produce VM-dependent block of Na,K-pump current. Increasing affinity, therefore, does not necessarily confer VM-dependent properties on current block by these amines. Nonetheless, the basic BTEA structure does seem to confer VM-dependent behavior because addition of a nitro group in the para position of the aromatic ring maintained the VM-dependent properties of BTEA inhibition and, in fact, greatly decreased the concentration of amine needed to produce inhibition of Na,K-pump current (estimated KI of 60 μM at 0 mV, based on the forward and reverse rate constants determined from the kinetics of pNBTEA charge movements). Computer simulations of charge distribution within the BTEA molecule (not shown) also suggested that the aromatic ring does not effectively delocalize the positive charge from the amine nitrogen. Thus, like other aliphatic quaternary ammonium compounds (68,10), the positive charge of the ammonium ion would seem responsible for enzyme inhibition.

To gain more insight about VM-dependent inhibition of the Na,K-ATPase, homology models of the enzyme’s alpha subunit were constructed. The homology models suggested that quaternary amines bind at two sites in the Na,K-ATPase accessible from the extracellular space. The first site (QA1) near the outer surface of the enzyme lies in a vestibule-like structure defined by extracellular loops between the transmembrane domains (49), as shown in both closed (1WPG (22)) and open luminal E2P conformations of SERCA (2ZBE (20); 3B9B (21)). This region is large, approximately 15 Å wide in the open conformation, with a somewhat electronegative surface. Ion channels such as the bacterial KcsA K+ channel also have a relatively wide vestibule (50) and molecular dynamics calculations suggest that K+ binding at a site in this vestibule probably dissipates only a very small fraction of the membrane electric field (51). These properties suggest that, if binding occurs at QA1 and stabilizes a closed enzyme conformation, inhibition would be weakly or not at all VM-dependent.

By comparison, the second quaternary amine binding site (QA2) coincides with the K+ binding sites (18) predicted to occur deep within the protein in a much narrower space between TM 5 and 6. Recently published SERCA structures show an open luminal permeation pathway that narrows (to 4–5 Å) as it approaches the ion binding sites situated between TM 4, 5 and 6 (20,21). By comparison, the narrowest portions of the K+ permeation pathway in KcsA coincide with K+ binding sites where the membrane electric field is calculated to fall steeply (51). Such a narrow ion permeation path in the Na,K-ATPase has been postulated to be responsible for the VM-dependent K+o activation of Na,K-pump current (12,16,52). The present simulations suggest that quaternary amines might gain access to binding sites via such a narrow pathway, thus explaining the similar fraction of the membrane dielectric dissipated by these reactions. For this reason, we postulate that QA2 is the site for VM-dependent inhibition of the Na,K-ATPase. VM-dependent block would then be predicted to occur when an inhibitor has a greater tendency to bind at the site QA2 than QA1.

This study provides a clear reaction mechanism by which BTEA and its para-nitro derivative might act to inhibit ion transport by this enzyme. Our studies show that these molecules could act via the same access pathway that extracellular ions traverse as they bind to the enzyme. This binding mechanism may offer an approach for designing a new generation of voltage-dependent Na,K-ATPase inhibitors that will have useful clinical properties, if the binding affinities of these blockers can be sufficiently improved.

Implications for extracellular K+ binding reactions by the Na,K-ATPase

Another interesting observation is that even though the ktot-VM relationship is “U”-shaped, it is not symmetrical, i.e. the symmetry factor in eq. 6 does not equal 0.5, as has been assumed in previous models of electrogenic reactions by the Na,K-ATPase (5355). Instead, the observed value of δ is 0.32. Since this organic ammonium ion only participates in protein binding, we assume that the kinetics of transient charge movements reflect the forward and backward rate constants for this reaction. This value of δ shows that the electric field has a greater influence on the reverse rate constant for pNBTEA binding, i.e. dissociation kinetics. Asymmetrical effects of electrical dipoles on ligand binding and release have been observed previously with acetylcholinesterases (56) but, in this case, the forward rate constant is influenced more by global field strength along the ligand binding pocket (57). With pNBTEA binding to the Na,K-ATPase, this asymmetry suggests that the electric field affects ligand-protein bond-breaking more than bond-making during binding (58). To observe such asymmetry in the transition state also implies that the electric field near the binding site decays over distances at which bond making and breaking occur.

A possible interpretation for the observed δ value becomes clear, in light of this point, when one refers to the E2P-like crystal structures (e.g. 2ZBE) of SERCA (20) and the homology model of the Na,K-ATPase α subunit (Fig. 10 and Supplemental Fig. 5). These structures show that the presumed access pathway between ion binding sites I and II and the luminal/extracellular surface of the protein is lined by many non-polar amino acids in the narrowest region proximal to the K+ binding pocket (see Fig. 3 in Toyoshima et al. (20)). The paucity of polar or charged amino acids proximal to K+ binding sites would lead one to conclude that the electric field in the protein interior should dissipate over extended distances, i.e. a low dielectric environment exists, unless the access pathway is filled with a substantial number of water molecules to form a high dielectric interface that rapidly dissipates the electric field. Thus, the extracellular ion access pathway in the Na,K-ATPase most likely contains a substantial number of water molecules that have an important role in ion binding reactions by the enzyme. This conclusion, while not surprising, has previously been only a matter of speculation, as even SERCA structures do not have sufficient resolution to show water molecules unless they are stably coordinated at ion binding sites. Whether this interpretation is correct will require additional experimentation; however, the ability to study the kinetics of ion binding in isolation provides a particularly unique window into the local environment that exists during these reactions.

Supplementary Material

1_si_001

2_si_002

Acknowledgments

We thank Dr. Sanjay Malhotra and Ms. Brenda Montalvo-Ortiz for synthesizing pNBTEA, Dr. Clay M. Armstrong for kindly supplying aliphatic long-chain derivatives of TEA, Dr. Carol Venanzi for performing computer simulations of BTEA charge distribution, Dr. Promod Pratap for advice on the fluorescence enzyme activity assay, and the technical assistance of Ms. Renee Green.

Abbreviations

BTEA
benzyltriethylammonium ion
BTMA
benzyltrimethylammonium ion
BTPA
benzyltripropylammonium
NMG
N-methyl-D-glucamine
pNBTEA
para-nitrobenzyltriethylammonium ion
SERCA
sarcoplasmic/endoplasmic reticulum ATPase
TEA
tetraethylammonium ion
TMA
tetramethylammonium ion
TPA
tetrapropylammonium ion
TlAc
thallium acetate
VM
membrane potential

Footnotes

This research was supported by the National Institutes of Health (R01 HL-076392 to RDP; R01 GM-057253 to JRB), the American Heart Association (RDP, JRB), and by Universidad de Buenos Aires, Agencia Nacional de Promoción Científica y Tecnológica and Consejo Nacional de Investigaciones Científicas y Técnicas, Argentina. RMGL and RCR are established investigators of CONICET.

SUPPORTING INFORMATION AVAILABLE

Supplemental material contains the following: (1) derivation of a general time-dependent solution for a 3 state model of the Na,K-ATPase in the presence of an activating ligand (K+) and a competitive inhibitor; (2) a brief review of the VM dependence of Na,K-pump current inhibition by TEA and BTEA and an explanation of how eq. 4 can be used to show VM-dependent inhibition of the Na,K-ATPase, (3) a figure comparing Na,K-pump current in TMA and NMG-containing superfusion solutions; (4) a figure showing the synthetic scheme for para-nitrobenzyltriethylammonium bromide; (5) a figure showing the K+o and VM dependence of Na,K-pump current in the presence and absence of TEA and BTEA, (6) a figure showing transient difference currents observed in the presence of 20 mM TEA; (7) a two part figure of the Na,K-ATPase α subunit homology model with BTEA bound, as viewed from above the extracellular access pathway, and predicted surface charge polarity of the enzyme. This materials is available free of charge via the Internet at http://pubs.acs.org.

References

1. Glynn IM, Richards DE. Occlusion of rubidium ions by the sodium-potassium pump: its implications for the mechanism of potassium transport. J Physiol (Lond) 1982;330:17–43. [PubMed]
2. Glynn IM, Howland JL, Richards DE. Evidence for the ordered release of rubidium ions occluded within the Na,K-ATPase of mammalian kidney. J Physiol (Lond) 1985;368:453–469. [PubMed]
3. Forbush B. Rapid release of 42K or 86Rb from two distinct transport sites on the Na,K-pump in the presence of Pi or vanadate. J Biol Chem. 1987;262:11116–11127. [PubMed]
4. González-Lebrero RM, Kaufman SB, Montes MR, Nørby JG, Garrahan PJ, Rossi RC. The occlusion of Rb+ in the Na+/K+-ATPase. I The identity of occluded states formed by the physiological or the direct routes: occlusion/deocclusion kinetics through the direct route. J Biol Chem. 2002;277:5910–5921. [PubMed]
5. Holmgren M, Wagg J, Bezanilla F, Rakowski RF, De Weer P, Gadsby DC. Three distinct and sequential steps in the release of sodium ions by the Na+/K+-ATPase. Nature. 2000;403:898–901. [PubMed]
6. Forbush B. The interaction of amines with the occluded state of the Na,K-pump. J Biol Chem. 1988;263:7979–7988. [PubMed]
7. Sachs JR, Conrad ME. Effect of tetraethylammonium on the active cation transport system of the red blood cell. Am J Physiol. 1968;215:795–798. [PubMed]
8. Kropp DL, Sachs JR. Kinetics of the inhibition of the Na-K pump by tetrapropylammonium chloride. J Physiol (Lond) 1977;264:471–487. [PubMed]
9. Peluffo RD, Hara Y, Berlin JR. Quaternary amines inhibit Na,K-pump current in a voltage-dependent manner: Direct evidence of an extracellular access channel in the Na,K-ATPase. J Gen Physiol. 2004;123:249–263. [PMC free article] [PubMed]
10. Gatto C, Helms JB, Prasse MC, Arnett KL, Milanick MA. Kinetic characterization of tetrapropylammonium inhibition reveals how ATP and Pi alter access to the Na+-K+-ATPase transport site. Am J Physiol. 2005;289:C302–C311. [PubMed]
11. Eckstein-Ludwig U, Rettinger J, Vasilets LA, Schwarz W. Voltage-dependent inhibition of the Na+,K+ pump by tetraethylammonium. Biochim Biophys Acta. 1998;1372:289–300. [PubMed]
12. Peluffo RD, Berlin JR. Electrogenic K+ transport by the Na+-K+ pump in rat cardiac ventricular myocytes. J Physiol (Lond) 1997;501:33–40. [PubMed]
13. Berlin JR, Peluffo RD. Mechanism of electrogenic reaction steps during K+ transport by the Na,K-ATPase. Proc NY Acad Sci. 1997;834:251–259. [PubMed]
14. Peluffo RD, Argüello JM, Berlin JR. The role of Na,K-ATPase α subunit serine 775 and glutamate 779 in determining the extracelluar K+ and membrane potential-dependent properties of the Na,K-pump. J Gen Physiol. 2000;116:47–59. [PMC free article] [PubMed]
15. Akera T, Brody TM. Membrane adenosine triphosphatase. The effect of potassium on the formation and dissociation of the ouabain-enzyme complex. J Pharmacol Exp Ther. 1971;176:545–557. [PubMed]
16. Gadsby DC, Rakowski RF, De Weer P. Extracellular access to the Na,K pump: Pathway similar to ion channel. Science. 1993;260:100–103. [PubMed]
17. Wuddel I, Apell HJ. Electrogenicity of the sodium transport pathway in the Na,K-ATPase probed by charge-pulse experiments. Biophys J. 1995;69:909–921. [PubMed]
18. Morth JP, Pedersen BP, Toustrup-Jensen MS, Sørensen TLM, Petersen J, Andersen JP, Vilsen B, Nissen P. Crystal structure of the sodium–potassium pump. Nature. 2007;450:1043–1049. [PubMed]
19. Toyoshima C, Nakasako M, Nomura H, Ogawa H. Crystal structure of the calcium pump of sarcoplasmic reticulum at 2.6 Å resolution. Nature. 2000;405:647–655. [PubMed]
20. Toyoshima C, Norimatsu Y, Iwasawa S, Tsuda T, Ogawa H. How processing of aspartylphosphate is coupled to lumenal gating of the ion pathway in the calcium pump. Proc Natl Acad Sci USA. 2007;104:19831–19836. [PubMed]
21. Olesen C, Winther AML, Picard M, Nielsen CG, Morth JP, Oxvig C, Møller JV, Nissen P. The structural basis of calcium transport by the calcium pump. Nature. 2007;450:1036–1042. [PubMed]
22. Toyoshima C, Nomura H, Tsuda T. Lumenal gating mechanism revealed in calcium pump crystal structures with phosphate analogues. Nature. 2004;432:361–368. [PubMed]
23. Berlin JR, Peluffo RD. Inhibition of Na,K pump current in cardiac myocytes by organic quaternary amines. Biophys J. 1998;74:A338.
24. Peluffo RD, Montalvo-Ortiz B, Berlin JR. The structural basis for voltage-dependent inhibition of the Na,K-pump by benzyltriethylammonium ions. Biophys J. 2002;82:259a.
25. Peluffo RD, González-Lebrero RM, Kaufman SB, Rossi RC, Berlin JR. Kinetics of Na,K-ATPase inhibition by benzyltriethylamine. Biophys J. 2003;84:267a.
26. González-Lebrero RM, Peluffo RD, Kaufman SB, Rossi RC, Berlin JR. Benzyltriethylammonium ions inhibit the Na,K-ATPase at extracellular potassium binding sites. Biophys J. 2004;86:245a.
27. Banik U, Roy S. A continuous fluorimetric assay for ATPase activity. Biochem J. 1990;266:611–614. [PubMed]
28. Jensen J, Nørby JG, Ottolenghi P. Binding of sodium and potassium to the sodium pump of pig kidney evaluated from nucleotide-binding behaviour. J Physiol (Lond) 1984;346:219–241. [PubMed]
29. Ishizuka N, Fielding AJ, Berlin JR. Na pump current can be separated into ouabain-sensitive and -insensitive components in single rat ventricular myocytes. Jap J Physiol. 1996;46:215–223. [PubMed]
30. Bairoch A, Apweiler R, Wu CH, Barker WC, Boeckmann B, Ferro S, Gasteiger E, Huang H, Lopez R, Magrane M, Martin MJ, Natale DA, O’Donovan C, Redaschi N, Yeh LS. The Universal Protein Resource (UniProt) Nucl Acids Res. 2005;33:D154–159. [PMC free article] [PubMed]
31. Higgins DG, Thompson JD, Gibson TJ. Using CLUSTAL for multiple sequence alignments. Meth Enzymol. 1996;266:383–402. [PubMed]
32. Sali A, Potterton L, Yuan F, vanVlijmen H, Karplus M. Evaluation of comparative protein structure modeling by MODELLER. Proteins. 1995;23:318–326. [PubMed]
33. Pearlman DA, Case DA, Caldwell JW, Ross WR, Cheatham TE, III, DeBolt S, Ferguson D, Seibel G, Kollman P. AMBER, a computer program for applying molecular mechanics, normal mode analysis, molecular dynamics and free energy calculations to elucidate the structures and energies of molecules. Comp Phys Commun. 1995;91:1–41.
34. Jones G, Willett P, Glen RC, Leach AR, Taylor R. Development and validation of a genetic algorithm for flexible docking. J Mol Biol. 1997;267:727–748. [PubMed]
35. Eldridge MD, Murray CW, Auton TR, Paolini GV, Mee RP. Empirical scoring functions: I. The development of a fast empirical scoring function to estimate the binding affinity of ligands in receptor complexes. J Comp-Aided Mol Des. 1997;11:425–445. [PubMed]
36. Rossi RC, Garrahan PJ. Steady-state kinetic analysis of the Na+/K+-ATPase. The activation of ATP hydrolysis by cations. Biochim Biophys Acta. 1989;981:95–104. [PubMed]
37. Kaufman SB, González-Lebrero RM, Rossi RC, Garrahan PJ. Binding of a single Rb+ increases Na+/K+-ATPase, activating dephosphorylation without stoichiometric occlusion. J Biol Chem. 2006;281:15721–15726. [PubMed]
38. Rossi RC, González-Lebrero RM, Kaufman SB, Garrahan PJ. Testing K+-like occlusion of cations in the Na+/K+-ATPase. J Gen Physiol. 2005;126:29a.
39. Kaufman SB, González-Lebrero RM, Schwarzbaum PJ, Nørby JG, Garrahan PJ, Rossi RC. Are the states that occlude rubidium obligatory intermediates of the Na+/K+-ATPase reaction? J Biol Chem. 1999;274:20779–20790. [PubMed]
40. Armstrong CM. Interaction of tetraethylammonium ion derivatives with the potassium channels of giant axons. J Gen Physiol. 1971;58:413–437. [PMC free article] [PubMed]
41. Nakao M, Gadsby DC. Voltage dependence of Na translocation by the Na/K pump. Nature. 1986;323:628–630. [PubMed]
42. Argüello JM, Peluffo RD, Feng J, Lingrel JB, Berlin JR. Substitution of glutamic 779 with alanine in the Na,K-ATPase alpha subunit removes voltage dependence of ion transport. J Biol Chem. 1996;271:24610–24616. [PubMed]
43. Kuntzweiler TA, Argüello JM, Lingrel JB. Asp804 and Asp808 in the transmembrane domain of the Na,K-ATPase alpha subunit are cation coordinating residues. J Biol Chem. 1996;271:29682–29687. [PubMed]
44. Nielsen JM, Pedersen PA, Karlish SJ, Jorgensen PL. Importance of intramembrane carboxylic acids for occlusion of K+ ions at equilibrium in renal Na,K-ATPase. Biochemistry. 1998;37:1961–1968. [PubMed]
45. Vilsen B, Andersen JP. Mutation to the glutamate in the fourth membrane segment of Na+,K+-ATPase and Ca2+-ATPase affects cation binding from both sides of the membrane and destabilizes the occluded enzyme forms. Biochemistry. 1998;37:10961–10971. [PubMed]
46. Feng J, Lingrel JB. Analysis of amino acid residues in the H5-H6 transmembrane and extracellular domains of Na,K-ATPase α subunit identifies threonine 797 as a determinant of ouabain sensitivity. Biochemistry. 1994;33:4218–4224. [PubMed]
47. Beaugé LA, Glynn IM. Occlusion of K ions in the unphosphorylated sodium pump. Nature. 1979;280:510–512. [PubMed]
48. Gatto C, Helms JB, Prasse MC, Huang SY, Zou X, Arnett KL, Milanick MA. Similarities and differences between organic cation inhibition of the Na,K-ATPase and PMCA. Biochemistry. 2006;45:13331–13345. [PubMed]
49. Artigas P, Gadsby DC. Ouabain affinity determining residues lie close to the Na/K pump ion pathway. Proc Natl Acad Sci USA. 2006;103:12613–12618. [PubMed]
50. Doyle DA, Cabral JM, Pfuetzner RA, Kuo A, Gulbis JM, Cohen SL, Chait BT, Mackinnon R. The structure of the potassium channel: Molecular basis of K+ conduction and selectivity. Science. 1998;280:69–77. [PubMed]
51. Roux B, Allen T, Berneche S, Im W. Theoretical and computational models of biological ion channels. Quart Rev Biophys. 2004;37:15–103. [PubMed]
52. Sagar A, Rakowski RF. Access channel model for the voltage dependence of the forward-running Na+/K+ pump. J Gen Physiol. 1994;103:869–894. [PMC free article] [PubMed]
53. Hansen UP, Gradmann D, Sanders D, Slayman CL. Interpretation of current-voltage relationships for “active” ion transport systems: I. Steady-state reaction-kinetic analysis of class-I mechanisms. J Membr Biol. 1981;63:165–190. [PubMed]
54. Läuger P, Apell HJ. Transient behaviour of the Na+/K+-pump: microscopic analysis of nonstationary ion-translocation. Biochim Biophys Acta. 1988;944:451–64. [PubMed]
55. Holmgren M, Rakowski RF. Pre-steady-state transient currents mediated by the Na/K pump in internally perfused Xenopus oocytes. Biophys J. 1994;66:912–22. [PubMed]
56. Silman I, Sussman JL. Acetylcholinesterase: How is structure related to function? Chemico-Biol Interact. 2008;175:3–10. [PubMed]
57. Radic Z, Kirchhoff PD, Quinn DM, McCammon JA, Taylor P. Electrostatic influence on the kinetics of ligand binding to acetylcholinesterase. J Biol Chem. 1997;272:23265–23277. [PubMed]
58. Bockris JO, Reddy AKN. Modern Electrochemistry. Plenum; New York: 1970.