Abstract
The channel of NMDA receptors is blocked by a wide variety of drugs. NMDA receptor channel blockers include drugs of abuse that induce psychotic behavior, such as phencyclidine, and drugs with wide therapeutic utility, such as amantadine and memantine. We describe here the molecular mechanism of amantadine inhibition. In contrast to most other described channel-blocking molecules, amantadine causes the channel gate of NMDA receptors to close more quickly. Our results confirm that amantadine binding inhibits current flow through NMDA receptor channels but show that its main inhibitory action at pharmaceutically relevant concentrations results from stabilization of closed states of the channel. The surprising variation in the clinical utility of NMDA channel blockers may in part derive from their diverse effects on channel gating.
Introduction
Amantadine is a drug of broad clinical utility. It was first recognized as an antiviral agent (Davies et al., 1964) but soon afterward was also found to be useful in treating Parkinson's disease (Schwab et al., 1969). It continues to be a widely used and well tolerated drug in the treatment of parkinsonian movement disorders and may also slow the progression of Parkinson's disease (Blanchet et al., 2003), ameliorate chronic pain (Fisher et al., 2000), and improve recovery from traumatic brain injury (Meythaler et al., 2002).
The clinical utility of amantadine appears to result from its actions as a blocker of ion channels. Its antiviral action results from block of the M2 small viral membrane protein (Hay, 1992). Although the utility of amantadine in treating Parkinson's disease was initially assumed to result from effects on dopaminergic systems (Danysz et al., 1997), amantadine later was found to block the channel of NMDA receptors (Kornhuber et al., 1991; Lupp et al., 1992; Parsons et al., 1995; Blanpied et al., 1997). Increasing evidence suggests that the effectiveness of amantadine in treating nervous system disorders results predominantly from its inhibition of NMDA responses (Blanchet et al., 2003).
NMDA receptor channel blockers have diverse properties. Channel block by extracellular Mg2+ is of profound physiological significance because it is responsible for the powerful voltage dependence of postsynaptic Ca2+ influx at excitatory synapses (Dingledine et al., 1999). In contrast to clinically useful NMDA receptor channel blockers such as amantadine and its derivative memantine, many organic blockers, such as ketamine and phencyclidine, induce schizophrenic-like behavior in humans (Jentsch and Roth, 1999) and are neurotoxic (Olney et al., 1999).
Why do substances with an apparently similar pharmacological action, channel block of NMDA receptors, exhibit such divergent clinical properties? Previous data suggest that possible variations in either nonspecific drug actions or in NR2 subunit specificity do not provide adequate explanations (Javitt and Zukin, 1991; Bresink et al., 1996; Danysz et al., 1997; Monaghan and Larsen, 1997; Blanchet et al., 2003). Instead, the wide variation in clinical utility may arise from differences in the mechanisms of blocker interaction with NMDA receptors. Aspects of mechanism that can powerfully influence inhibitory properties of a channel blocker include the kinetics and affinity of blocker binding and the effects of bound blocker on transitions among channel closed states (Rogawski, 1993; Parsons et al., 1999b; Johnson and Qian, 2002). Despite the importance of these aspects of blocker action, we currently have limited understanding of the interaction between NMDA receptors and amantadine.
In this paper, we combined whole-cell and single-channel recording with quantitative modeling to investigate the mechanisms by which amantadine inhibits NMDA responses. We found that amantadine displays intermediate kinetics of block (Hille, 2001), which permitted us to measure blocking and unblocking rates and estimate rate of channel closure with amantadine bound. We show that, when amantadine is bound in the channel of NMDA receptors, it increases the rate of channel closure. As a result, the predominant inhibitory mechanism of amantadine is not blockade of current flow through open channels but rather increasing occupancy of channel closed states. The unusual properties of amantadine may play an important role in its clinical safety.
Materials and Methods
Cell cultures and solutions. Cerebral cortices were isolated from day 16 embryonic rats and used to prepare cultured neurons on glass coverslips as described previously (Antonov and Johnson, 1996). All procedures were approved by the Institutional Animal Care and Use Committee of the University of Pittsburgh. Neurons were used for experiments after 2-5 weeks in serum-containing medium. For recordings, coverslips were transferred to a recording chamber and bathed in an extracellular solution that contained the following (in mm): 140 NaCl, 2.8 KCl, 1 CaCl2, and 10 HEPES. pH was adjusted to 7.3 with NaOH. The pipette solution contained the following (in mm): 120 CsF, 10 CsCl, 10 HEPES, and 10 BAPTA. pH was adjusted to 7.2 with CsOH.
Human embryonic kidney (HEK) 293T cells were maintained as described previously (Qian et al., 2005). For experiments, the cells were plated onto glass coverslips pretreated with poly-d-lysine and rat-tail collagen. Eighteen to 24 h after plating, the cells were transiently transfected with cDNAs encoding the NR1-1a and NR2B NMDA receptor subunits using a calcium phosphate precipitation procedure (Qian et al., 2005). cDNA of enhanced green fluorescent protein (eGFP) was cotransfected as a marker of successfully transfected cells. The amount of cDNA used per dish was as follows (in μg): 0.7 eGFP, 1.3 NR1-1a, and 2 NR2B. After a 6-8 h incubation in the transfection solution, the cells were washed with fresh culture medium that contained 200 μm APV. Experiments were performed 20-72 h after transfection.
Outside-out patch recordings. Pipettes were pulled from standard wall borosilicate glass with filament (Warner Instruments, Hamden, CT), coated with Sylgard (Dow Corning, Midland, MI), and fire polished. Pipette resistance ranged from 6 to 12 MΩ. Recordings were performed using an Axopatch 200A amplifier (Axon Instruments, Union City, CA). The patch was placed in front of the opening of one of a pair of perfusion tubes, and the solution was switched by moving the tubes. NMDA receptors were activated by solution containing 5 μm NMDA and 10 μm glycine alone or with the indicated concentration of amantadine. One to 4 min of channel openings at each drug concentration were low-pass filtered at 10 kHz and recorded to videotape for later analysis. The holding potential, after correction for the measured junction potential, was -67 mV.
Single-channel analysis. Data from videotape were filtered using an eight-pole Bessel filter with a cutoff of fc = 4 kHz and digitized at 20 or 41 kHz. Segments containing unacceptable noise were removed using the Channel Analysis Program (R.C. Electronics, Santa Barbara, CA). Openings and closings were detected with a 50% threshold criterion (Colquhoun and Sigworth, 1995) using pClamp 6 software (Axon Instruments). The effective cutoff of the cascaded filters resulted in an estimated system dead time of 0.179/fc = 0.048 ms, and events briefer than twice the system dead time (tmin) were deleted from all histograms and excluded from analysis. Histograms are presented as square root versus log time plots (Sigworth and Sine, 1987).
Binned dwell time distributions (eight bins per decade) were fit using the maximum likelihood method. Open-time distributions were well fit by a single-exponential component (Ascher and Nowak, 1988; Jahr and Stevens, 1990; Antonov and Johnson, 1996). Additional open-time components (Howe et al., 1988; Gibb and Colquhoun, 1992; Donnelly and Pallotta, 1995; Kleckner and Pallotta, 1995; Antonov et al., 1998; Antonov and Johnson, 1999) were not analyzed because they were either not visible or very small. The mean open time (τo) was corrected for missed brief closures, which otherwise could cause overestimation of τo, using the following equation (Ogden and Colquhoun, 1985; Marshall et al., 1990; Antonov and Johnson, 1996): τo = (trec - tmeas - tmiss)/(nmeas + nmiss + 1), where trec is total recording time of the data segment under analysis, nmeas is the measured number of closures with durations ≥tmin, tmeas is their summed closed duration, nmiss is the estimated number of closures with durations <tmin, and tmiss is their estimated summed closed duration. nmiss and tmiss were estimated by extrapolation of the fit closed duration distributions from t = tmin to 0. In control conditions, the value of τo calculated by this method was 4.19 ± 0.26 ms, 98 ± 3% of the unadjusted arithmetic mean open time calculated from open-time histograms, confirming the accuracy of the calculation when τo ≫ tmin. The correction had a greater effect when the unadjusted mean open time was briefer. In 100 μm amantadine, which increased the frequency of openings briefer than tmin, τo was 70 ± 2% of the unadjusted arithmetic mean open time.
Closed-time histograms in the absence and in the presence of amantadine were well fit in the large majority of cases by the sum of three exponential components. In the absence of amantadine, these components had time constants as follows: short duration (τC,S), 0.29 ± 0.04 ms; intermediate duration (τC,I), 7.22 ± 1.70 ms; long duration (τC,L), 494 ± 80 ms; with relative amplitudes of 0.43 ± 0.02, 0.16 ± 0.01, and 0.41 ± 0.02, respectively. As described in Results, the mean duration of amantadine blocking events (τC,B) was similar to τC,S. The accuracy of estimates of τC,B were optimized by establishing conservative criteria for acceptance of data to be used in the estimates. The criteria were used to minimize two potential errors. The first potential error resulted from the similarity of τC,S and τC,B. These two closed-time components were too similar to be fit by separate exponentials but in general should not have identical durations. Thus, short-duration channel closures could have interfered with measurement of τC,B. To minimize interference from these brief closures, we accepted τC,B measurements only if the short-duration component area was >70% of the total area of all closed-time components (see Fig. 2C). With this cutoff, approximately two-thirds or more of the short-duration component were attributable to amantadine block. The second possible error was overestimation of τC,B because of missed brief openings at high concentrations of amantadine. To minimize this error, we accepted τC,B measurements only when τO,B was >0.5 ms (Antonov and Johnson, 1996), limiting missed openings to a maximum of 18% of all openings. Because the number of missed openings increases with amantadine concentration, the observation that the estimated τC,B does not increase with amantadine concentration (see Fig. 2 B) supports the accuracy of our estimate. Only data in 10 μm (6 of 8 patches) and 30 μm amantadine (7 of 11 patches) satisfied the criteria described above. Data that met both these criteria are superimposed on all single-channel data in Figure 2, B and C.
The value of 1/τC,B provides an estimate of the sum of rates for leaving the blocked state (Colquhoun and Hawkes, 1995), which according to model 1, is α′+ k-. Our use of 1/τC,B as an estimate of k- alone is based on the assumption that k- ≫ α′. Analysis of burst durations indicated that α′ is 251 s-1 (see Results). Because this is much smaller than the estimated value of 1/τC,B (4480 s-1), the approximation k- = 1/τC,B should be in error by <6%.
n × Popen (number of channels in a patch multiplied by mean open probability per channel) was calculated as total channel open time divided by recording time using pClamp 9 (Axon Instruments). The patch recording durations used here ranged from 71 to 335 s (mean of 163 s).
Burst analysis was performed to estimate the rate of channel closure in the absence and presence of amantadine. Burst durations were measured as the duration of openings with closures briefer than a critical duration (tcrit) counted as part of open time (Colquhoun and Sigworth, 1995). Only patches in which <5% of all openings were multilevel openings were used. In the absence of amantadine, channel openings of NMDA receptors are often interrupted by short-duration closures (time constant τC,S). These short-duration closures constitute a trivial fraction of total closed time. This state therefore was ignored by choosing a tcrit between τC,S and τC,I (Dilmore and Johnson, 1998) and was not represented in the model we used for data analysis (see Fig. 3A). As a result, channel closures were defined as transitions to closed states of intermediate or longer duration. To minimize the unavoidable error of misclassification of closures, tcrit was calculated so that there were equal numbers of short-duration closures counted as between burst and intermediate closures counted as within burst (Magleby and Pallotta, 1983). Values for tcrit in control conditions were 1.23 ± 0.33 ms, in good agreement with values obtained in previous studies of forebrain neurons (Howe et al., 1988; Jahr and Stevens, 1990; Gibb and Colquhoun, 1992; Kleckner and Pallotta, 1995; Antonov and Johnson, 1996). The average separation of τC,S and τC,I by a factor of 27 is somewhat less than preferred for burst analysis (Colquhoun and Sigworth, 1995). However, burst duration showed little sensitivity to small variations in tcrit: doubling tcrit increased burst-duration estimates by only 9.0 ± 1.8%, whereas halving tcrit decreased burst-duration estimates by only 10.5 ± 1.3% (n = 6 patches). These results suggest that burst-duration estimates were reliable. In 1 of 32 patch data segments used for burst analysis, the middle closed-time component was <1 ms and was included within bursts.
Burst analysis in the presence of amantadine was designed to count amantadine blocking events as within burst. Because the value of τC,B was very close to the value of τC,S, the procedures used were identical to those used in the absence of amantadine. The mean values of tcrit in amantadine (1.02 ± 0.11 ms in 10 μm, 1.19 ± 0.13 ms in 30 μm, and 1.45 ± 0.06 ms in 100 μm amantadine) were similar to the control value (1.23 ± 0.33 ms).
Whole-cell recording. Whole-cell recordings from cultured neurons or transfected HEK 293T cells were performed as described previously (Blanpied et al., 1997), using the same solutions as for outside-out patch recordings. Rapid applications of the indicated NMDA concentration plus 10 μm glycine with or without amantadine were accomplished by moving a set of gravity-fed flow pipes under computer control. Solution exchanges were at least 98% complete within 120 ms (Blanpied et al., 1997).
All experiments were performed at room temperature.
Curve fitting and modeling. Concentration-inhibition curves were constructed by fitting data with the following equation: (1)
where Response is either normalized n × Popen (see Fig. 2 D) or IAman/IControl (see Fig. 4 B), [Aman] is the amantadine concentration, IC50 is the [Aman] at which the response is 50% inhibited, and nH is the Hill coefficient, which reflects the cooperativity of drug action.
The equilibrium predictions of model 1 (see Fig. 3A) shown in Figures 3, B and C, 5, and 6 D were made with the equations derived in the supplemental material (available at www.jneurosci.org). The equilibrium constants among unblocked channel states (Ka = 11.0 μm; Kg = 39.0; Kds = 0.2) were fixed at values chosen as described previously (Dilmore and Johnson, 1998) based on previous measurements (Benveniste and Mayer, 1991; Lester et al., 1993; Rosenmund et al., 1995). Because estimates of maximal Popen (which is established by Kg) for NMDA receptors have varied greatly, a value for Kg could not be set with confidence. However, the predictions based on model 1 shown in Figures 3C, 5, and 6 D varied only slightly when Kg was varied from 39 [corresponding to a maximal Popen of 0.025 (Rosenmund et al., 1995)] to 2.33 [corresponding to a maximal Popen of 0.3 (Jahr, 1992)]. Similarly, our general conclusions are not affected by changes in the values of Ka or Kds within a plausibly physiological range. The Kd of amantadine was fixed at 110 μm, which equals the ratio of rate constants (k-/k+) determined here from single-channel measurements. Equilibrium constants among blocked channel states were set to equal the corresponding equilibrium constants for unblocked channels, except when otherwise indicated. Burst-duration fitting and predictions (see Fig. 6C) were made with Equation 2, which is derived in the supplemental material (available at www.jneurosci.org).
Predictions from and fitting of equations were performed in Origin 7 (OriginLab, Northampton, MA) or SigmaPlot 8 (SPSS, Chicago, IL). Errors in text and error bars in figures indicate SEM.
Results
Rates of amantadine block and unblock
We investigated the kinetics of block by 3-100 μm amantadine of single channels activated by 5 μm NMDA plus 10 μm glycine in outside-out patches at a holding potential of -67 mV. Amantadine did not affect the single-channel current amplitude of open NMDA-activated channels but induced brief, flickering closures that interrupted channel openings (Fig. 1A). As amantadine concentration was increased, the frequency of brief closures increased, causing a decrease in the duration of channel openings (Fig. 1A,B). The population of brief closures observed in the presence of amantadine (Fig. 1A,C) are typical of open channel blocking drugs with “intermediate” kinetics (Hille, 2001). We took advantage of the kinetics of amantadine block to measure (Neher and Steinbach, 1978) the apparent rate constants of amantadine block (k+) and unblock (k-) directly from single-channel recordings.
To estimate k+, we measured the mean duration of channel openings (τO) in the absence (control, τO,C) and presence (blocker, τO,B) of amantadine (Fig. 1B). As expected for an open-channel blocker (Neher and Steinbach, 1978), a plot of the reciprocal of τO as a function of amantadine concentration ([B]) was well fit by the equation 1/τO = k+[B] + 1/τO,C. The value of k+, calculated as the slope of a linear regression fit to all data points (Fig. 2A), was 40.8 μm-1s-1.
We estimated k- from the mean duration of the closures induced by amantadine (τC,B), which reflects its dwell time in the channel, and applied the equation (Neher and Steinbach, 1978) k- = 1/τC,B. Closed-time distributions in both the absence and presence of amantadine were well fit by the sum of three exponential components (Fig. 1C). Amantadine appeared to cause an increase in the frequency of the shortest-duration closures (Fig. 1C). We concluded that this effect of amantadine results from similarity of the value of τC,B and the mean duration of the shortest-duration closures in the absence of amantadine based on the following observations: (1) amantadine had little effect on the mean duration or relative area of the longer components of the closed-time distribution (Fig. 1C); (2) the time constant of the shortest-duration closed-time component in the absence or presence of amantadine (τC,S) varied little over a wide range of amantadine concentrations, even when it accounted for as little as 60% or as much as 95% of all closures (Fig. 2B); and (3) the relative area of the shortest-duration component increased with amantadine concentration (Figs. 1C, 2C). Potential errors in the measurement of τC,B, were minimized as described in Materials and Methods. The mean value of τC,B was 0.223 ± 0.012 ms (n = 13), yielding an estimate of k- for amantadine of 4480 s-1.
Divergence of Kd and IC50 of amantadine
With the above data, the equilibrium dissociation constant for binding of amantadine to the open channel of NMDA receptors (Kd) can be estimated (Hille, 2001) from the equation Kd = k-/k+, yielding Kd = 110 μm. This Kd is considerably larger than the amantadine IC50 (38.9 ± 4.6 μm) that we measured under similar conditions in whole-cell experiments (Blanpied et al., 1997), a value in agreement with the average amantadine IC50 (∼35 μm) measured electrophysiologically by others (Parsons et al., 1995, 1996, 1999a; Sobolevsky and Koshelev, 1998; Sobolevsky et al., 1998; Sobolevsky and Yelshansky, 2000; Bolshakov et al., 2003). The observation that Kd > IC50 implies that amantadine inhibits total NMDA receptor-mediated current more effectively than it blocks open single channels.
One possible explanation for the difference between the Kd of amantadine (measured in patch experiments) and IC50 (measured in whole-cell experiments) is that patch excision increases the IC50 of amantadine, as observed for NMDA receptor channel block by internal Mg2+ (Li-Smerin et al., 2000, 2001). If this explanation were correct, then the IC50 of amantadine measured in outside-out patches should resemble the Kd, 110 μm. We tested this possibility by measuring the amantadine concentration dependence of the total channel open time (n × Popen) during outside-out patch recordings. Fitting of Equation 1 to normalized n × Popen (Fig. 2D) yielded an IC50 of 29.7 μm (nH = 1.1), in reasonable agreement with previous whole-cell IC50 measurements. This result conflicts with the hypothesis that patch excision increases the IC50 of amantadine and suggests that an explanation for the discrepancy between Kd and IC50 should be sought in the mechanism of amantadine action.
The relationship between the Kd and IC50 of a channel blocker depends on how the blocker affects channel transitions after binding. For example, blockers that act by the “sequential” (or “foot-in-the-door”) mechanism, which prevent closure of the channel while blocking, inhibit whole-cell responses (or patch n × Popen) much less effectively than they block single-channel currents (Kd ≪ IC50) (Neher and Steinbach, 1978; Hille, 2001; Johnson and Qian, 2002). Amantadine, in contrast, is known to be a trapping channel blocker: it permits channel closure while bound in the channel of NMDA receptors (Blanpied et al., 1997; Sobolevsky and Yelshansky, 2000; Bolshakov et al., 2003). Nevertheless, even trapping channel blockers have been found to partly inhibit channel closure during block (Johnson and Qian, 2002), leading to an IC50 that is greater than the Kd. However, for amantadine, Kd is greater than IC50, a difference that cannot be the result of partial inhibition of channel closure.
The observation that Kd > IC50 for amantadine is inconsistent with the hypothesis that it inhibits NMDA responses simply by blocking current flow through the channel. This inequality implies that nonconducting states with amantadine bound (which do not exist for a sequential blocker) are of great importance to its mechanism of action. To better understand how amantadine inhibits NMDA responses, we used a trapping channel block model, which includes closed, amantadine-bound states. By combining model simulations with whole-cell and single-channel data, we tested whether this model can account for the difference between the IC50 and Kd of amantadine.
The trapping channel block model we used (Fig. 3A) is derived from previous work on channel block of NMDA receptors (Benveniste and Mayer, 1995; Blanpied et al., 1997; Chen and Lipton, 1997; Dilmore and Johnson, 1998; Sobolevsky et al., 1998; Sobolevsky and Yelshansky, 2000) and nicotinic ACh receptors (Lingle, 1983; Ogden and Colquhoun, 1985). The upper five states of model 1 describe the behavior of NMDA receptors in the absence of blocker, whereas the lower five states describe the ability of amantadine to be trapped in closed channels. The model does not include binding steps for glycine because a saturating glycine concentration was included in all solutions. The model compresses multiple closed, liganded, nondesensitized states into a single state, A2R (see Discussion). Faithful reproduction of NMDA receptor behavior under all conditions clearly would require a much more complex model. However, there currently is insufficient understanding of NMDA receptors to develop a full and accurate model. Model 1 has been found to reproduce with surprising accuracy a wide range of properties of NMDA receptors and channel blockers and to be highly useful for hypothesis testing (Dilmore and Johnson, 1998; Anson et al., 2000).
We applied model 1 to determine whether, and if so how, the relatively low IC50 with which amantadine inhibits whole-cell NMDA responses can be explained by its known action as a trapping blocker. Because the model was used to simulate steady-state whole-cell measurements, consideration only of equilibrium constants (not rate constants) was needed. To minimize the number of adjustable parameters, the constants that defined equilibria among unblocked states (Ka, Kds, and Kg) were fixed as described in Materials and Methods, and Kd was fixed at 110 μm based on the above single-channel measurements. We determined whether amantadine could lower its IC50 relative to its Kd by affecting any one of the three remaining constants, all of which defined equilibria among blocked states: agonist binding (K′a ≠ Ka), desensitization (K′ds ≠ Kds), or channel gating (K′g ≠ Kg). To examine how these alterations of the equilibria among blocked states affect inhibition by amantadine, we used model 1 to predict amantadine concentration-inhibition curves (for the equation used and its derivation, see supplemental material, available at www.jneurosci.org). Figure 3B shows an example of simulated concentration-inhibition relationships for amantadine when the gating equilibrium constant (K′g) was changed to 0.1 × Kg or to 10 × Kg. Importantly, setting K′g = 0.1 × Kg (that is, shifting the equilibrium between open and closed states toward the closed state, which we refer to as stabilizing the closed state), lowers the IC50. This plot demonstrates that inhibition by a trapping channel blocker is not solely determined by its obstruction of current flow but is strongly dependent on how it interacts with the gating machinery of a receptor. Despite its Kd of 110 μm for the open channel, the macroscopic IC50 of 38.9 μm of amantadine in the presence of 5 μm NMDA could be explained if the presence of the drug in the channel altered any of the three blocked channel equilibrium constants (Fig. 3C).
Dependence of amantadine IC50 on NMDA concentration
The simulations of Figure 3, B and C, show that the low IC50 of amantadine can be explained parsimoniously through its known action as a trapping channel blocker, as described by model 1. We next wanted to determine which receptor state transition (agonist binding, channel gating, or desensitization) might be affected by amantadine binding. We used model 1 to search for an experimental protocol that would distinguish which equilibrium among receptor states is affected by amantadine binding. We found that the dependence of the IC50 of amantadine on agonist concentration diverges strongly depending on which equilibrium is affected by amantadine binding. Therefore, we compared the IC50 of amantadine at several different NMDA concentrations.
We reported previously (Blanpied et al., 1997) that, in 5 μm NMDA, the IC50 of amantadine was 38.9 ± 4.2 μm, and its Hill coefficient (nH) was 0.99 ± 0.02 (n = 6). Here we used the same whole-cell protocol, membrane potential (-67 mV), and solutions as used previously to measure the IC50 of amantadine in 30 μm NMDA (Fig. 4A,B). The IC50 was 50.5 ± 11.5 μm, with nH = 0.99 ± 0.04 (n = 3). We attempted to make similar measurements at 1000 μm NMDA, but strong rundown of the response prevented reliable measurement of full concentration-inhibition relationships. We instead used a single amantadine concentration of 50 μm to estimate its IC50 in 1000 μm NMDA. To ensure the reliability of this estimate, we used the same protocol to make a second estimate of the amantadine IC50 in 30 μm NMDA (Fig. 4C). Amantadine at 50 μm inhibited the response to 30 μm NMDA by 55 ± 6% and the response to 1000 μm NMDA by 47.9 ± 6%. These values were used to estimate IC50 using the relationship IC50 = [amantadine] × (1 - f)/f, where f is fractional inhibition by 50 μm amantadine, yielding the following: in 30 μm NMDA, amantadine IC50 = 45.1 ± 11.3 μm; and in 1000 μm NMDA, amantadine IC50 = 54.3 ± 16.5 μm. The two estimates of IC50 in 30 μm NMDA are not statistically different and so were combined, giving an estimate of 47.8 ± 7.3 μm (n = 6). There were no significant differences between any of the amantadine IC50 estimates in 5, 30, and 1000 μm NMDA, even when correction for multiple comparisons was not performed. Thus, these results indicate that the IC50 of amantadine does not depend significantly on NMDA concentration.
To help interpret these data, they are plotted with model 1 predictions of the relationship between IC50 and NMDA concentration (Fig. 5). Amantadine was assumed to have a Kd of 110 μm and to achieve an IC50 of 38.9 μm in 5 μm NMDA by only decreasing NMDA affinity (long dashes; IC50 rises with NMDA concentration), only stabilizing the channel closed state (short dashes; IC50 is nearly insensitive to NMDA concentration), or only stabilizing the desensitized state (dots; IC50 decreases with NMDA concentration). The measured IC50 values strongly favor the model in which amantadine binding stabilizes the channel closed state. The data show a nonsignificant trend toward a rise in IC50 as NMDA concentration increases. Model 1 similarly predicts that, if amantadine binding stabilized the channel closed state, IC50 should rise with NMDA concentration, although the increase is too slight to be visible in Figure 5 (short dashes). This increase, however, depends on the value of Kg. The value of Kg used here, 39, corresponds to the previously estimated (Rosenmund et al., 1995) maximal Popen of 0.025. If a lower Kg (corresponding to a higher maximal Popen, as has been reported in other studies) were assumed, then IC50 would be predicted to rise slightly more steeply with NMDA concentration.
Effect of amantadine on the closing rate of blocked channels
The data and models above are consistent with the hypothesis that amantadine inhibits NMDA responses by stabilizing the channel closed state as well as by blocking the channel. Next, we tested a prediction of this hypothesis. If amantadine stabilizes the channel closed state, it must do so by decreasing the rate of channel opening (β′< β in model 1), by increasing the rate of channel closing (α′ > α), or by a combination of these two effects. We explored the possibility that amantadine increases the channel closing rate by measuring single-channel burst duration as a function of amantadine concentration.
As shown in Figure 1A, in the presence of amantadine, NMDA receptor openings occur as “bursts,” channel openings interrupted by brief closures that represent block by amantadine. The durations of bursts were estimated from the duration of channel openings when channel blocking events were ignored (Neher and Steinbach, 1978). This burst duration approximates the time spent in states A2R* and A2R*B (model 1). In the absence of amantadine, the mean burst duration (tburst) represents the mean duration of state A2R*, the inverse of which was used to estimate α (see Materials and Methods). In a saturating concentration of amantadine, tburst, if it could be measured, would represent the mean duration of state A2R*B, the inverse of which would provide an estimate of α′. Burst duration in a saturating concentration of amantadine cannot be measured because the channel would essentially always be in a blocked state. However, tburst can be measured in intermediate amantadine concentrations; as amantadine concentration is increased from 0, model 1 predicts that tburst should change from a value of 1/α to values intermediate between 1/α and 1/α′. Thus, if channel block by amantadine accelerates the rate of channel closure (that is, if α′ > α), then burst duration should decrease as amantadine concentration increases. Note that this is the opposite of the predicted and observed effect of sequential blockers on burst duration (Neher and Steinbach, 1978; Antonov and Johnson, 1996).
To test this prediction, standard procedures were used to measure burst duration, which involved measuring the open time after ignoring all closures briefer than a “critical gap length” (tcrit; see Materials and Methods). Figure 6A shows examples of single-channel openings, and Figure 6B shows the corresponding burst-duration distributions, in the absence and presence of amantadine. The burst-duration distribution in all conditions was adequately fit by the sum of one or two exponentials. We quantified tburst here as arithmetic mean because Equation 2 (below), which was derived from model 1 to fit the amantadine concentration dependence of tburst (see supplemental material, available at www.jneurosci.org), applies to arithmetic mean burst duration. In the absence of amantadine, tburst was 7.93 ± 0.77 ms (n = 10), which is near the middle of the range of previous estimates of NMDA receptor tburst from forebrain neurons (Ascher et al., 1988; Howe et al., 1988; Gibb and Colquhoun, 1992; Antonov and Johnson, 1996). Consistent with the hypothesis that closed states are stabilized during amantadine block, tburst was decreased in all amantadine concentrations tested (Fig. 6C), and there was significant negative correlation between amantadine concentration and tburst (Spearman's r; one-tailed p = 0.023).
To further test the hypothesis that channel closure is accelerated by amantadine block, we determined whether the amantadine dependence of tburst (Fig. 6C) could be reproduced by model 1 by only increasing α′. To quantify the expected dependence of tburst on the concentration of a blocker that affects channel closing rate, we derived the following equation (see supplemental material, available at www.jneurosci.org) from model 1: (2)
We fit the equatio to the data plotted in Figure 6C with α′ as the only adjustable parameter (see legend to Fig. 6C). The best fit was achieved with a value of 251 s-1 for α′, indicating that the burst duration in a saturating amantadine concentration would be 3.98 ms. These results indicate that the channel of NMDA receptors closes 1.99 times faster when blocked by amantadine than when unblocked. The agreement of this highly constrained fit of Equation 1 (solid line) with the data further supports the hypothesis that channel closure is accelerated during block by amantadine.
Does this effect of amantadine on channel closing fully explain the low IC50 of amantadine? Probably not entirely. To achieve an IC50 of 39 μm at 5 μm NMDA with a Kd of 110 μm through an effect only on channel gating, K′g must be 2.83 times greater than Kg (Fig. 3C). To achieve this difference purely through an effect on the rate of channel closure, amantadine would have to increase the channel closing rate by a factor of 2.83. The resulting effect on burst duration, predicted with Equation 1, is plotted in Figure 6C (dashed line). The difference between the dashed line and the data suggests that acceleration of channel closure is not the only mechanism by which amantadine reduces open probability. For example, if amantadine also reduced channel opening rate by a factor of 1.4 (β′ = β/1.4), the observed difference between IC50 and Kd would result.
The whole-cell, single-channel, and modeling results presented here all support the hypothesis that amantadine inhibits NMDA responses with an IC50 lower than its Kd predominantly through an effect on channel gating. Amantadine thus has two inhibitory actions: blocking current flow through the open channel and increasing occupancy of closed states. Which is the dominant inhibitory mechanism by which amantadine acts? This question can be addressed be comparing the predicted concentration-response curves of two hypothetical antagonists. Both bind to the open state of the NMDA receptor with the Kd of amantadine (110 μm). However, one is a pure channel blocker: it does not affect receptor function (K′g = Kg, K′a = Ka, K′ds = Kds). The other is a pure “gating antagonist”: it stabilizes the closed state of the NMDA receptor like amantadine but does not block current flow through the open channel. The predicted concentration-inhibition curves for these hypothetical blockers and for amantadine are compared in Figure 6D. For inhibitor concentrations below ∼100 μm, the gating antagonist (“Gating Only”) inhibits more effectively than the antagonist that blocks current flow without affecting gating (“Block Only”). Thus, over the range of amantadine concentrations that are pharmaceutically relevant, the principal antagonistic effect of amantadine is to stabilize the closed state of the channel of NMDA receptors.
We performed one additional test of the hypothesis that amantadine increases channel closing rate when bound. The test is based on the observation that, after block of NMDA receptor channels by extracellular Mg2+ (Mg2+o), unblock caused by a depolarizing voltage jump proceeds with a multi-exponential time course (Vargas-Caballero and Robinson, 2003, 2004; Kampa et al., 2004). One or more time constants of unblock were observed to be much slower than would be expected from the unblocking rate of Mg2+o measured in single-channel experiments. Kinetic models were used to explore possible explanations for these observations (Kampa et al., 2004; Vargas-Caballero and Robinson, 2004). It was found that slow components of unblock are expected if blocker binding increases the occupation of channel closed states. Occupation of closed states was increased by either increasing the rate of channel closure (Vargas-Caballero and Robinson, 2004) or modifying multiple rate constants, including the rate of channel closure (Kampa et al., 2004). Based on these results, our hypothesis that amantadine accelerates channel closure, and hence increases occupation of closed states, predicts that amantadine unblock after a depolarizing voltage jump should proceed with a multi-exponential time course.
We tested this prediction as shown in Figure 7 and Table 1. These experiments were performed on transfected HEK 293T cells, which are electrotonically compact, rather than neurons because excellent space clamp was important to avoid artifactual slow relaxations after the voltage jumps. We transfected the NR2B subunit (along with NR1-1a) because this is likely to be the dominant NR2 subunit in the cultured neurons used in other experiments (Zhong et al., 1994). The unblocking rate of amantadine, which should be even faster at 40 mV than at -67 mV, would cause unblocking time course to be submillisecond if amantadine block had no effect on receptor transition rates (Kampa et al., 2004; Vargas-Caballero and Robinson, 2004). In contrast, we observed prominent slow components to amantadine unblock at 40 mV (Fig. 7, Table 1). Amantadine unblocked with three dominant time constants. A fast component (τfast) is likely to reflect the speed of voltage control. An intermediate time constant of unblock (τslow1) was exhibited both by amantadine (5.17 ms) and by Mg2+o (8.51 ms) (Fig. 7B, Table 1). A very slow time constant of unblock (τslow2) was observed during amantadine unblock (153 ms) (Fig. 7B, Table 1) but not during Mg2+o unblock. These data support the idea that channel block by amantadine increases the occupation of closed states by increasing the rate of channel closure.
Discussion
A crucial feature of clinically useful drugs is an affinity for their target molecule(s) that is high enough to prevent undesirable nonspecific effects. The affinity of a drug can be increased through increasing its binding rate or decreasing its unbinding rates. Because binding rates are limited, most fundamentally by diffusion, clinically useful drugs tend to unbind relatively slowly. The data presented here demonstrate that amantadine binds to its principal target, the open channel of NMDA receptors, with a binding rate typical of channel blockers, ∼40 μm-1s-1 at resting potential. The corresponding unbinding rate of amantadine, however, is remarkably fast at over 4000 s-1. How does a drug with such a fast unbinding rate nevertheless exhibit inhibitory effects on its target in a useful concentration range? The answer shown here is that, after blocking the open channel, amantadine encourages NMDA receptor channels to occupy closed conformations. This unusual ability of amantadine increases its affinity, despite its fast unbinding from receptors with an open channel.
The principal mechanism by which amantadine inhibits NMDA responses at clinically useful concentrations is atypical of characterized channel blockers, which by definition plug open channels. Inhibition of NMDA responses by amantadine at concentrations below 100 μm, in contrast, depends mostly on stabilization of channel closed states. Thus, the principal mode of action of amantadine is that of a gating antagonist rather than channel blocker. Burst analysis (Fig. 6C) revealed that the main mechanism by which amantadine stabilizes channel closed states is through acceleration of channel closure by a factor of ∼2. Observation of a slow component of amantadine unblock after a depolarizing voltage jump (Fig. 7) supported the idea that amantadine binding accelerates channel closure. Additional support for this idea can be found in our previous study of inhibition by memantine and amantadine of whole-cell NMDA-activated currents (Blanpied et al., 1997). The best fit of a simplified version of model 1 to whole-cell responses during agonist and amantadine concentration jumps yielded channel closing rates that were 2.9 times faster when amantadine was bound. Thus, although amantadine binding and unbinding rates were unknown in the previous study, its modeling results were consistent with the results obtained here using burst analysis.
Acceleration of channel closure cannot fully explain the low IC50 of amantadine, which requires that block by amantadine stabilize the closed state by a factor of 2.8 (Fig. 3C). It is possible that amantadine slows channel opening rate as well as accelerating channel closing rate. We cannot exclude the possibility, however, that amantadine has other inhibitory effects on NMDA receptors, although any additional inhibitory actions are unlikely to be at the NMDA binding site (Fig. 5).
Although only a single closed-liganded state (A2R) is shown in the absence of blocker in model 1, NMDA receptors are known to have access to multiple closed-liganded states (Gibb and Colquhoun, 1992). The shortest-duration closed state that we observed, which was not included in model 1, was briefer than tcrit and so could not have terminated bursts. Shortening of burst duration by amantadine therefore must have resulted from increased occupancy of longer-lived closed states. It is possible that a new longer-lived closed state appears only when amantadine is bound. However, a simpler explanation would appear to be that entry into a state or states that also exist in the absence of amantadine is accelerated. Although understanding of connections among NMDA receptor closed states is limited, an explicit model to explain three components of closed-time histograms was proposed in an impressive recent study (Banke and Traynelis, 2003). In this model, open channels can close only to the shortest-lived closed state; from this state, either NR1 or NR2 subunits can make transitions to longer-lived closed conformations. The closed durations reported here differ from those recorded under different conditions by Banke and Traynelis (2003). Nevertheless, our burst data could be plausibly explained within the framework of their model if channel block by amantadine increases the rate of any of the three proposed types of closing transitions. Because amantadine binds in the channel, the most straightforward idea may be that amantadine increases the reverse rate of the final, rapid, concerted, pore-opening transition. This would mean that amantadine increases the rate into the shortest-lived state, the duration of which would be within burst. However, in this model, the shortest-lived state is a gateway state to all other closed states. Thus, increasing occupancy of the shortest-lived state would result in an increase in the rate of entry into longerlived states and would lead to shorter bursts.
Many organic NMDA receptor channel blockers affect channel gating (for review, see Johnson and Qian, 2002; Sobolevsky, 2003). However, occupation of the channel of NMDA receptors by organic channel blockers has been shown by previous studies to stabilize the channel open state. Amantadine appears to be the first organic NMDA receptor channel blocker to be shown to stabilize closed states. In contrast to most organic blockers, physiological block of NMDA receptor channels by Mg2+o was proposed recently to accelerate channel closure (Kampa et al., 2004; Vargas-Caballero and Robinson, 2004). This proposal was supported by earlier measurements of an Mg2+o-induced decrease in burst duration (Ascher and Nowak, 1988). We observed that amantadine, like Mg2+o, exhibits a slow component of unblock after a voltage jump to a positive potential (Fig. 7, Table 1). Thus, the blocking actions of amantadine and of Mg2+o may exhibit two notable similarities: unusually fast unblocking kinetics and the ability to accelerate channel closure while blocking. However, amantadine exhibits a much slower component of unblock that we did not observed with Mg2+o (Fig. 7A, Table 1) (but see Kampa et al., 2004). Also, in contrast to amantadine, the IC50 and Kd of Mg2+o are nearly identical (Qian et al., 2002). This observation and others (Sobolevsky and Yelshansky, 2000) argue against the idea (Kampa et al., 2004; Vargas-Caballero and Robinson, 2004) that block by Mg2+o significantly favors occupation of channel closed states. Thus, there must be yet uncharacterized differences in how amantadine and Mg2+o influence gating while blocking the channel of NMDA receptors.
It is perhaps surprising that occupation of an ion channel by a relatively large molecule such as amantadine would accelerate rather than slow channel closure. Stabilization of closed states of a mutant Shaker K+ channel by an organic channel blocker has been observed previously (Holmgren et al., 1997). Tetraethylammonium (TEA) and its analog C10 strongly stabilize the open state of wild-type Shaker channels. However, when Shaker channels with a point mutation (I470C) near the middle of the S6 region were examined, C10 was found to weakly stabilize the channel open state and TEA to weakly stabilize channel closed states. These results indicate that the precise relationship between blocker structure and the shape of the channel cavity in which blockers are likely to bind (Jiang and MacKinnon, 2000) can determine the effects of blocker binding on channel gating. Structural and functional similarities between K+ channels and glutamate receptors (Panchenko et al., 2001) suggest that similar ideas may apply to block of NMDA receptors. Thus, systematic molecular modification of amantadine and other blockers (Antonov and Johnson, 1996; Bolshakov et al., 2003) can be used to help define channel shape while advancing the search for more useful therapeutic drugs.
Amantadine and its close analog memantine are both NMDA channel blockers that exhibit high clinical utility. Their spectra of utility, however, differ substantially (Danysz et al., 1997); for example, amantadine appears to be the more effective antiparkinsonian drug, whereas memantine currently is the only drug approved by the FDA for use in the treatment of moderate to severe Alzheimer's disease. Correspondingly, each drug exhibits distinct antagonistic properties that influence their affinity, kinetics, ability to be trapped, and use dependence. The properties of amantadine described here permit its action to resemble in important respects block by Mg2+o, although amantadine block is less voltage dependent because of the lower valence of the drug (+1 at physiological pH). Thus, the remarkably fast unblocking kinetics of amantadine allow it, like Mg2+o, to at least partly unblock during the brief depolarization of an action potential, a characteristic that may decrease deleterious clinical effects. The weaker voltage dependence of amantadine should permit it to inhibit NMDA responses more effectively than Mg2+o during the prolonged depolarizations that accompany neurological insults, enhancing its neuroprotective potential. Together, the unique combination of kinetics, effects on channel gating, and voltage dependence of amantadine may enhance both its clinical safety and effectiveness.
Footnotes
This work was supported by National Institute of Mental Health Grants MH45817 and MH00944 (J.W.J.). We thank Shawn Kotermanski for helpful comments on this manuscript. T.A.B. acknowledges Michael Ehlers for support during manuscript preparation.
Correspondence should be addressed to Jon W. Johnson, Department of Neuroscience, 446 Crawford Hall, University of Pittsburgh, Pittsburgh, PA 15260. E-mail: johnson{at}bns.pitt.edu.
T. A. Blanpied's present address: Department of Physiology, University of Maryland School of Medicine, Baltimore, MD 21201.
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