Correspondence to: Ted Begenisich, Department of Pharmacology and Physiology, Box 711, University of Rochester Medical Center, Rochester, NY 14642. Fax:(716) 273-2652 E-mail:ted_begenisich{at}URMC.rochester.edu.
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Abstract |
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We have examined the interaction between TEA and K+ ions in the pore of Shaker potassium channels. We found that the ability of external TEA to antagonize block of Shaker channels by internal TEA depended on internal K+ ions. In contrast, this antagonism was independent of external K+ concentrations between 0.2 and 40 mM. The external TEA antagonism of internal TEA block increased linearly with the concentration of internal K+ ions. In addition, block by external TEA was significantly enhanced by increases in the internal K+ concentration. These results suggested that external TEA ions do not directly antagonize internal TEA, but rather promote increased occupancy of an internal K+ site by inhibiting the emptying of that site to the external side of the pore. We found this mechanism to be quantitatively consistent with the results and revealed an intrinsic affinity of the site for K+ ions near 65 mM located 7% into the membrane electric field from the internal end of the pore. We also found that the voltage dependence of block by internal TEA was influenced by internal K+ ions. The TEA site (at 0 internal K+) appeared to sense
5% of the field from the internal end of the pore (essentially colocalized with the internal K+ site). These results lead to a refined picture of the number and location of ion binding sites at the inner end of the pore in Shaker K channels.
Key Words: ion channels, ion permeation, voltage-clamp, tetraethylammonium
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INTRODUCTION |
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The permeation and selectivity properties of K channels are quite complex. These channels can simultaneously be occupied by several ions and they support high flux rates in spite of the presence in the pore of high affinity permeant ion binding sites.
There are several mechanisms that could allow both tight binding and high throughput. As first suggested for Ca channels (7.5 Å apart in the bacterial K channel, KcsA (
These mechanisms are not necessarily mutually exclusive, and sorting out under what conditions and in what channels they operate is a daunting task that will require specific tests of these mechanisms. At the very least, a full accounting of the number, affinity, and location of the permeant ion binding sites must be made. As a first approach to this end, we (
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MATERIALS AND METHODS |
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K Channel Constructs
The experiments reported here were done on the inactivation-deletion version of Shaker B, ShB 6-46 (
Oocyte Isolation and Microinjection
Frogs, Xenopus laevis, were maintained as described by
Electrophysiological Recordings
Potassium channel currents were assayed electrophysiologically 15 d after RNA injection. Electrophysiological recordings were done at room temperature (2022°C) with excised inside-out or outside-out macropatches using an Axopatch 1-D amplifier (Axon Instruments). Patch pipets had tip diameters of 24 µm constructed from glass (Corning 7052; Garner Glass Co.). The measured junction potentials for the solutions used were all within 4 mV of one another and so no correction for these was applied. The holding potential was -70 mV in most cases; however, to minimize the amount of slow inactivation in solutions of reduced K+ (
The standard external solution contained the following (in mM): 5 KCl, 135 NMDG-Cl, 2 CaCl2, 2 MgCl2, and 10 mM HEPES, pH 7.2 (with NMDG). TEA was added to this solution by equimolar replacement of NMDG. The standard internal solution consisted of the following (in mM): 110 KCl, 25 KOH, 10 EGTA, and 10 HEPES, pH 7.2 (with HCl). In some experiments, Rb+ completely replaced the K+ in these solutions. NMDG replaced K+ in solutions used for experiments with reduced K+ content.
Data Analysis
Dose-response relations for external and internal TEA block were determined from at least three independent measurements at four or more concentrations of blockers. As described in RESULTS, several different equations were fit to these and other data. The fits were done using the Levenberg-Marquardt algorithm as implemented in Origin 5.0 (Microcal Software Inc.). Error limits for the fitted parameters are the estimated errors from the fitting routine.
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RESULTS |
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External TEA ions inhibit the ability of internal TEA to block the pore in K channels (
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We (
Internal K+ Ions Are Required for TEA Interactions
To determine if K+ ions are required in the internal or external solution (or both), we tested the ability of external TEA to protect from internal TEA block by replacing K+ with Rb+ in each solution. With K+ ions only in the internal solution (Fig 1, third row), external TEA was able to protect from block by internal TEA (66 vs. 42% block). In contrast, external TEA was not able to protect from block by internal TEA if K+ ions were only in the external solution (Fig 1, bottom row, 74 and 73% block).
Thus, K+ but not Rb+, ions in the internal solution supported the external TEA-mediated protection from block by internal TEA. The data in Fig 2 confirm this suggestion showing a greatly reduced protection from internal TEA block by external TEA when the intracellular K+ concentration is reduced. The top row in Fig 2 contains currents recorded with 20 mM internal K+ at several potentials in the absence (Fig 2, left panel) and presence (Fig 2, right panel) of 1 mM internal TEA. The block at 0 mV was 62% in this experiment. The bottom row shows currents recorded at the same potentials in the presence of 100 mM external TEA. Unlike the protection afforded by external TEA in 135 mM internal K+ (Fig 1, top row), internal TEA block was the same in the presence of external TEA (62% block at 0 mV, independent of the external TEA).
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The top panel of Fig 3 A illustrates the fraction of current blocked by internal TEA in the absence () and presence (
) of external TEA with 20 mM internal K+. The fit to the pooled data of a standard binding relation (see Equation 1) reveals an apparent affinity for internal TEA block of 0.43 ± 0.017 mM. The presence of external TEA produced a modest decrease in the apparent internal TEA affinity represented by the somewhat increased KApp value of 0.66 ± 0.031 mM. As shown in the bottom panel of Fig 3 A, this same concentration of external TEA produced a threefold decrease in the internal TEA affinity if the internal solution contained 135 mM K+.
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We obtained data similar to those illustrated in Fig 3 A over a range of internal K+ concentrations, and the results are contained in Fig 3 B. Shown is the apparent affinity for internal TEA block (KApp) at internal K+ concentrations between 20 and 135 mM, both in the absence () and presence (
) of external TEA. Without external TEA, block by internal TEA is essentially independent of the internal K+ concentration with a mean value of 0.45 mM (Fig 3 B, dashed line). In contrast, in the presence of external TEA, the apparent affinity for internal TEA block is a linear function of the internal K+ concentration.
Thus, internal K+ ions had a significant effect on the interaction between internal and external TEA. The records of Fig 1 suggest that, in contrast, external K+ ions had little effect on the interaction between TEA ions. This was confirmed by determining the apparent affinity for internal TEA block in the absence and presence of 100 mM external TEA in solutions with 0.2 and 40 mM external K+ in addition to the standard 5-mM amount. These results are summarized in Table 1. The apparent affinity for internal TEA block was little affected by external K+ ions, with or without external TEA. We also determined the apparent affinity for external TEA block with and without internal TEA and, again, these were little affected by external K+.
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Competition between Internal TEA and Internal K+ Ions: A Model
In the presence of external TEA, there was a linear relation between the apparent affinity for internal TEA block and internal K+ concentration (Fig 3 B, ). This suggests a competition between internal K+, and TEA that was apparent only when the channel was blocked by TEA. Thus, we consider the existence of a site in the pore of Shaker K channels accessible to both internal TEA and internal K+ ions and that the binding of these ions to this site is mutually exclusive. In the absence of external TEA, this site is rarely occupied by K+ ions because they readily move through the pore and exit on the external side. Under these conditions, internal TEA is able to block the pore. However, when the external TEA binding site is occupied, the flow of K+ ions to the outside is eliminated and there is now a true thermodynamic equilibrium between internal K+ ions and the inner part of the pore. Since, in this scheme, occupancy of this site by internal TEA and K+ is mutually exclusive, internal TEA will be less effective in the presence of external TEA. Further, occupancy of the internal site by K+ ions will be decreased in reduced internal K+ and so block by internal TEA under these conditions would not be antagonized by external TEA.
To determine if channels with this type of site can quantitatively reproduce the experimental findings, it is necessary to derive the expectations for how the apparent affinity for internal TEA depends on internal K+ and external TEA. Thus, consider that internal TEA ions bind to the channel with an intrinsic affinity of Ki according to the reaction:
and that external TEA can also bind to the channel with an intrinsic affinity, Ko:
As discussed above, we consider that when external TEA occupies its binding site and shuts off K+ efflux, internal K+ ions can occupy a site in the pore:
where K+i represents an internal K+ ion, and KK the affinity for binding internal K+ to the site. In this simple model, internal TEA ions cannot bind to channels occupied by K+ ions nor can internal K+ ions bind to channels already occupied by internal TEA. Of course K channels have several K+ binding sites, some of very high affinity (
In this model, external and internal TEA are considered to bind independently, and so the only remaining reactions to consider are the following:
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With these reactions, the block of channels by internal TEA in the presence of external TEA is given by:
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(1) |
where KAppi is given by:
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(2) |
Affinity of a Binding Site for Internal K+ Ions
Under conditions where the external TEA concentration is much larger than its intrinsic affinity Equation 2 reduces to the simple form:
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(3) |
That is, with high concentrations of external TEA, the apparent affinity for internal TEA block of the channel is expected to be a linear function of internal K+ concentration with a zero K+ intercept equal to the intrinsic affinity (Ki) and a slope that is the ratio of Ki and KK. As noted above, the experimental data (Fig 3 B, ) have this linear relationship. Equation 3 provides a reasonable description of the data (Fig 3 B, solid line) with values of Ki and KK of 0.49 ± 0.06 and 68 ± 14 mM, respectively. The intrinsic affinity for internal TEA determined this way (0.49 mM) is consistent with the mean value of the affinity obtained in the absence of external TEA (0.45 mM; Fig 3 B, dotted line).
This simple model is obviously quantitatively consistent with the data and allows a simple understanding of the mechanism by which external TEA ions inhibit block by internal TEA. In the absence of external TEA, an inner K+ ion binding site is very rarely occupied even at physiological (135 mM) internal K+ concentrations. Under these conditions, there is steady-state occupancy of K+ sites in the pore, but there is no thermodynamic equilibrium with K+ ions in the internal solution. Thus, under these conditions, there is little interaction between internal K+ and internal TEA ions.1 However, when the external TEA binding site is occupied, the flow of K ions to the outside is eliminated and there is now a true thermodynamic equilibrium between internal K+ ions and the inner part of the pore. If, in the presence of external TEA, there is only a single accessible site, then this site has an affinity for K+ ions of 68 mM.
Additional Tests of the Model
If this picture of the inner part of the pore is correct, the interaction of external TEA with the pore will not be independent of internal K+ (Scheme 3). The presence of internal K+ ions, in essence, adds an additional blocked state and will increase the apparent affinity for block by external TEA, KAppo. Solving Scheme 2 and Scheme 3 reveals the relationship between KAppo and the internal K+ concentration:
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(4) |
where, as above, [K+]i and KK represent the internal K+ concentration and the affinity of the K+ site, respectively. That is, if this view of the TEA and K+ binding sites is correct, then external TEA should appear to have a higher affinity for its receptor at increased internal K+ ion concentrations.
Fig 4 shows that this prediction was realized. The apparent affinity for block by external TEA increased with internal K+. Equation 4 provided a reasonable description of these data with an affinity for the K+ ion binding site of 64 ± 12 mM, which is consistent with the value of 68 mM obtained from the analysis of the data in Fig 3 B. According to this analysis, the intrinsic affinity of the external TEA site (the zero concentration asymptote) is near 41 mM, which is a considerably lower affinity than the apparent value obtained at physiological internal K+ concentrations. Note that the observed effect of internal K+ on TEA block is the opposite of that expected for electrostatic repulsion (or any other antagonistic interaction) between these ions. The presence of internal K+ ions enhances block by external TEA as expected if internal K+ ions bind to channels blocked by external TEA (Scheme 3).
Thus, this simple model can quantitatively account for the internal K+ dependence of both the apparent affinity of external TEA (Fig 4) and the ability of external TEA to antagonize block by internal TEA (Fig 3). The analysis of these data reveals the existence of a K+ ion binding site with an affinity near 65 mM. The data in Fig 3 and Fig 4 were obtained at 0 mV. By extending the analysis to other potentials, the location of the external TEA site and the K+ ion binding site within the membrane electric field can be determined. Fig 5 presents the results of extending the type of analysis in Fig 4 to include a range of membrane potentials.
Location of the Sites within the Electric Field
Shown in the main part of Fig 5 are the affinities of the external TEA and internal K+ ion binding sites (Ko and KK, respectively in Equation 4) obtained (as in Fig 4) at the indicated membrane voltages. The external TEA affinity (Ko) exhibits a voltage dependence () as if this ion must cross 29% of the membrane voltage to reach its binding site. A similar value of 24% was obtained from a direct determination of the voltage dependence of the apparent affinity for block by external TEA with 135 mM internal K+ (Fig 5, inset). These values are reasonably consistent with the value of 19% obtained by
The interaction of K+ ions with the binding site appears to exhibit very little voltage sensitivity (Fig 5, ). The dashed line represents a site only 7% into the membrane field from the internal end of the channel. Since we consider that internal TEA and K+ ions compete for a single site, internal TEA block should have a similar voltage dependence. However, block by internal TEA, measured in normal internal K+ solutions, has a voltage dependence consistent with binding to a site 1520% into the field (
Fig 6 A shows the voltage dependence of the apparent affinity for block by internal TEA in 100 () and 20 mM (
) internal K+. The lines are fits of the
12% of the electric field. This value was smaller in 20 mM K+, as if the site were only
6% into the field. Fig 6 B shows that the apparent electrical distance for block by internal TEA depended rather strongly on the internal K+ concentration. The electrical distance was
17% into the field for 135 mM K+, which is similar to the values previously reported for normal physiological levels of K+ (
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Internal TEA Can Protect from Block by External TEA
The data and analysis presented here suggest an alternative mechanism, a competition between internal TEA and internal K+ ions, which is inherently asymmetric. Therefore, another test of this model is the prediction that reduced internal K+ should reduce the ability of internal TEA to protect from block by external TEA. We found that in 135 mM internal K+, 2 mM internal TEA decreased the apparent Kd for block by external TEA by a factor of 2.6 ± 0.22; in 20 mM, the decrease was only 1.5 ± 0.12. That is, reducing the internal K+ concentration from 135 to 20 mM, reduced the ability of internal TEA to inhibit block by external TEA by a factor of 1.7. Thus, these data qualitatively support the idea that TEA antagonism, even the ability of internal TEA to inhibit block by external TEA, is due to competition between internal TEA and internal K+ ions. A quantitative test of this idea can be made from the predicted affinity for block by external TEA in the presence of TEA and internal K+ (solving Scheme 1 Scheme 2 Scheme 3 Scheme 4 Scheme 5 for the apparent affinity of external TEA in the presence of internal K+ and internal TEA):
where the parameters are as defined above.
With model parameters obtained from the previous analyses (65, 42, and 0.45 mM for KK, Ko, and Ki, respectively), the model predicts a change in KAppoof 1.7 for the reduction of internal K+ from 135 to 20 mM, which is identical to the measured value of 1.7. Thus, it appears that most, if not all, of the apparent antagonism between TEA ions may actually be a competition between internal K+ ions and internal TEA for a common binding site. As noted above, the role of external TEA is not to directly antagonize internal TEA but, rather, to promote increased occupancy of the internal K+ site by inhibiting emptying of the site to the external side of the pore.
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DISCUSSION |
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The results of the study presented here reveal several new properties of the pore in Shaker K channels. We found that the apparent antagonism between external and internal TEA (
Comparison with Previous Results
An interaction between external TEA and internal K+ ions has been observed in other voltage- gated K channels. In Kv2.1 K channels (
A Mechanism for the Interaction between External and Internal TEA
We were able to quantitatively account for all of our results with a rather simple model that suggests a mechanism by which external TEA ions can antagonize block by internal TEA. In this model, internal TEA and K+ ions compete for a single site located near the inner end of the pore. Occupancy of the pore by external TEA shuts off the flow of K+ ions to the external side of the pore and so will enhance occupancy of the internal site by K+ ions. Increased occupancy of the site by K+ will, necessarily, decrease block by internal TEA. That is, there is no direct interaction between internal and external TEA ionsthe apparent antagonism between these blocking ions is entirely mediated through changes in occupancy of a K+ ion binding site and the competition between K+ ions and internal TEA for occupancy of this site.
Properties of the Internal Ion Binding Site
The effects of internal K+ on external TEA block and on the antagonism between external and internal TEA provide two independent means for estimating the intrinsic affinity of the K+ site. A single K+ ion binding site with an affinity near 65 mM (at 0 mV) was consistent with both sets of data. Since there is no interaction between TEA ions in Rb+ solutions (
By analyzing the interaction between internal K+ ions and external TEA at various membrane potentials (Fig 5, main) we were able to estimate the apparent location within the membrane electric field of both the external TEA binding site and the internal K+ binding site. From this analysis, we found that the internal K+ binding site apparently experiences only 7% of the membrane electric field measured from the inner end of the pore and the external TEA binding site appears to be
29% into the field from the external surface. This latter value is similar to the values of 24% (Fig 5, inset) and 19% (
The observation that the voltage dependence of block by internal TEA was enhanced by increased internal K+ concentration (Fig 6) shows that internal K+ and TEA ions interact in the pore. TEA block in very low internal K+ places the internal TEA site no deeper than 56% into the membrane field from the inner end of the pore. This is considerably less than the 1520% value obtained with a normal concentration of internal K+ (Fig 6 B;
It is possible that the change in the voltage sensitivity of block by TEA produced by internal K+ is the result of the ability of TEA to bind to two different locations: a superficial site in low K+ solutions and a site deeper into the electric field in high K+ solutions. If so, these two sites must have very similar TEA affinities since, in the absence of external TEA, block by internal TEA (at 0 mV) is relatively insensitive to internal K+ (Fig 4). Although certainly possible, the existence of two sites of identical affinity at two separate positions in the pore does not seem particularly likely. Rather, the internal K+ concentration dependence of the apparent voltage sensitivity of TEA block is a predicted consequence of the competition between TEA and K+ ions for occupancy of a site near the inner end of a multi-ion pore.
In the simple model presented here, we considered that by shutting off K+ flux to the external solution, external TEA allowed a true thermodynamic equilibrium between K+ ions in the internal solution and a single site in the pore. It is possible that the presence of external TEA enhances occupancy of more than a single K+ site; however, two lines of evidence suggest that, at least over the range of internal K+ of 20135 mM, a significant change in occupancy of only a single site is likely. First, significant occupancy of two sites of different affinities would produce a bimodal shape to the plot in Fig 4. Although the one-site model (Equation 4) doesn't fit every data point perfectly, there is also no evidence of a more complex behavior. Second, the very shallow location of the site in the electric field leaves very little room for two independent sites.
Ion Binding Sites in K Channels
Thus, we have presented evidence for the existence of a site in the pore of Shaker K channels that has an intrinsic affinity for K+ ions of 65 mM. This site is located only a very short distance into the membrane electric field, binds TEA, and is selective for K+ over Rb+. Is this a new site or one that has been previously described?
Several ion binding sites have been identified in K channels including Shaker.
The solution of the KcsA crystal structure identified the location of three ion binding sites (at least for the electron dense Rb+ or Cs+ ions): two at either end of the narrow selectivity region, and the third in a cavity about midway through the pore. Ba2+ ions occupy a position in the KcsA structure between the cavity ion and the innermost end of the selectivity filter (
Thus, we propose to have identified a fourth K+ site in the pore of Shaker channels as illustrated in the cartoon in Fig 7. Shown is a representation of the pore in the KcsA K channel incorporating the "bent S6" structure of
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The presence of four K+ ion binding sites in the pore of Shaker channels is consistent with flux-ratio data showing that these channels can simultaneously be occupied by at least four K+ ions (
The fourth site we propose might not have been apparent in the KcsA structure (
Thus, our determination of a shallow location in the membrane field for the internal TEA site is not directly contradicted by existing data. However, it is more difficult to reconcile this superficial location with the ability of amino acid mutations near Shaker position 441 to influence block by internal TEA. The equivalent amino acids in the KcsA channel are deep in the pore, just at the inner end of the narrow selectivity filter. How could mutations this deep in the pore affect superficial TEA binding? The movements of ions in a multi-ion, single-file pore are coupled. Thus, mutations near position 441 could alter the affinity of K+ ion binding at this deep location and, indirectly, also affect block by internal TEA.
Summary
This study has provided a refined view of K+ and TEA binding near the inner end of the pore in Shaker K channels. We showed that there is little intrinsic voltage dependence of internal TEA block, and so the TEA site is located just barely within the membrane electric field near the inner end of the pore. The apparent voltage dependence in normal K+ concentrations is the result of a coupling between TEA and the movement of K+ ions in the multi-ion, single-file pore. We identified a site for K+ ions that has a low intrinsic affinity and, therefore, is infrequently occupied under normal conditions. This site is located at the same electrical position as the internal TEA site and these ions compete for occupancy. When external TEA blocks K+ efflux, the site becomes significantly occupied and reduces internal TEA block. This site is K+- (and TEA) selective: the affinity for Rb+ ions is extremely low. If this site is the "cavity" site visualized in the structure of the KcsA channel, then only 57% of the membrane electric field appears at this location. However, as discussed above, this K+/TEA site appears to have properties distinct from those of the cavity site, and so likely represents a fourth K+ ion binding site located between the cavity position and the inner end of the pore.
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Footnotes |
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1 However, there is some interaction since we show (Fig 6) that the voltage dependence of internal TEA block depends on the internal K+ concentration.
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Acknowledgements |
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We thank Dr. Robert Dirksen for critical comments on this work.
This work was supported in part by National Institutes of Health grant NS-14138 (to T. Begenisich) and grants from the National Science Foundation (IBN-9514389 and IBN-0090662).
Submitted: 10 January 2001
Revised: 1 March 2001
Accepted: 2 March 2001
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