Introduction

The potassium channel exists ubiquitously on the cell membrane and maintains cellular electrical activity1. A vast array of gene species for the potassium channel has been identified across the whole range of living organisms2. The crystal structures of several channel types have been solved and the basic architecture was elucidated3,4,5,6,7. The channel structure is functionally divided into the pore domain and the sensory domain. The pore domain is responsible for the common channel function, i.e. the selective K+ permeation and gating. In contrast, the sensory domain, which is located in the cytoplasm or membrane, modulates the gating function of the pore domain. In this arrangement, the environmental changes sensed by the various types of the sensory domain are transferred to the pore domain so as to initiate channel activity. Thus, the pore domain is the canonical structural unit for all of the potassium channels8 and elucidating the gating conformation of the pore domain is thus crucial for an understanding the channel function.

The high resolution structure of the pore domain was first revealed for the KcsA potassium channel (Fig. 1)9 and the ion permeation mechanism through the selectivity filter has been reported10,11,12,13,14. The open conformation of the KcsA channel15 as well as that of several potassium channel types16,17 demonstrated that the crossed bundle helices (the M2 helix) at the intracellular end of the pore domain relax, which then allows ions to have access to the pore. The full-length structure of the KcsA channel was subsequently resolved18,19, showing the straight helix bundle to be the cytoplasmic domain (CPD). However, these structural data were obtained in the absence of the membrane and several maneuvers, including the introduction of mutations and fixation with antibodies should have been taken for crystallization, which would bias the intact structure.

Figure 1
figure 1

Crystal structure of the closed (residue 22–124) and open (residue 30–117) conformations of the KcsA channel (pdb code: 1K4C and 3F5W).

The longitudinal length of the channel was calculated from the crystal structure as the distance between the Cα atoms furthest apart along the channel axis plus their atomic size. For the closed conformation the unresolved terminal residue (F125) is taken into considerations. The surface of the channel is colored for the charge distribution (red for negative and blue for positive).

Here we report the structure of the activation gate in the pore domain of the KcsA channel in the membrane-embedded state and atomic force microscopy (AFM) is shown to be useful for capturing such global conformational changes upon gating in the native state. The AFM provides the surface contour and thus the structural parts protruding from the membrane surface can be delineated20,21,22,23. For certain membrane proteins, a bulky oligomeric domain, protruding into either the extracellular or intracellular space, has been resolved by AFM24,25,26 and the conformational change of the extra-membranous parts is relevant to the sensory process. In contrast, our focus is the less bulky, membrane-embedded pore domain with the activation gate open and closed. In the various potassium channels the pore domain shares a common architecture and some degree of homologous gating transition should take place. What configuration does the activation gate take? How do ions in the bulk intracellular solution gain access to the pore through the open gate?

In the pore domain, including that in the KcsA channel, the activation gate is located close to the cytoplasmic end, where the global conformational changes manifest27,28. To observe the open and closed gate of the membrane embedded KcsA potassium channel from the cytoplasmic side, the CPD, which is formed by a straight helix bundle and hence hinders the view, was truncated. The CPD-truncated KcsA channel retains its native functions of pH-dependent gating and single-channel activity29. Between the pore domain and the CPD, there is a structural region known as the bulge helix (residue 118–135; Fig. 1)18. The charged residues are clustered there and function as a part of the intracellular pH-sensor29,30,31. The bulge helix is a critical structure that governs the size for the ion accessing aperture in the open conformation. In the CPD-truncated channel, one half of the bulge helix is retained at the C-terminal end (118–125) and we call this region the part of the bulge helix (Hbulge). In the crystal structure of the open state, the Hbulge has remained unsolved.

In this study, the CPD-truncated KcsA channel embedded in the membrane was the target of structural and functional investigation in the single-molecule level. In the AFM image that was obtained, the tetrameric open conformation was revealed and the crystallographycally-unsolved Hbulge was captured. The structure of the Hbulge was generated by means of a simulation with molecular dynamics (MD), by which the dynamic behavior was examined. Finally, the functional consequences of the fluctuating structure were studied using single-channel current recordings. This integrated single-molecule approach using AFM, MD simulation and single-channel current recordings afforded a clear picture of the dynamic structure and function of the activation gate of the KcsA channel.

Results

Images of the KcsA in the membrane

The liposomes reconstituted with the CPD-truncated KcsA channel (residue 1–125) were extended over the mica surface and AFM measurements were performed. Distinct islands of flat membranes became evident and protruding particles were distributed exclusively on the membrane surface (Fig. 2). The individual particles observed at pH 7.5 (Fig. 2A) and 4.0 (Fig. 2B) were found to be substantially different in size. These particles represent the cytoplasmic end of the CPD-truncated KcsA channel for the following reasons. In the reconstituted liposomes, the KcsA channel is oriented in the “right-side out” configuration (i.e. the cytoplasmic domain faces to the inside vesicle). This orientation has been confirmed by functional measurements using liposome-patch and the planar lipid bilayer methods exploiting the location of the pH-dependent sensor of the KcsA channel on the cytoplasmic side30,32. Thus, the KcsA channel was in an upside-down orientation (i.e., the cytoplasmic side up) in the flat bilayer.

Figure 2
figure 2

KcsA images embedded in the membrane.

(A, B) AFM images of the CPD-truncated KcsA channel in lipid bilayer and the height profiles.The KcsA-reconstituted proteoliposomes were added onto the mica surface and the liposome membrane was extended on the mica substrate, forming the flat bilayer. The cytoplasmic part of the KcsA channel protruded from the membrane surface. The pH of the overlaying buffer solution was 7.5 for A and 4.0 for B. The height profiles along the green solid lines are shown below the images. Images were recorded with the acoustic AC mode of AFM. (C) Height distribution pattern of the CPD-truncated KcsA on the mica surface. The height was evaluated as the sum of the protruded height and the membrane thickness. The blue bars indicate the histogram for the closed conformation at pH 7.5 and the red ones the open conformation at pH 4.0. The green lines indicate the results of Gaussian fitting. The height was 6.4 ± 0.3 nm at pH 7.5 (n = 170) and 4.9 ± 0.4 nm at pH 4.0 (n = 121). The blue and red arrows indicate the height values obtained from the crystallographic structures for the closed (6.3 nm) and open (4.3 nm) states. (D) Schematic representation of the membrane-embedded channel on the mica surface. The intracellular structure protruding from the membrane surface was measured with AFM. The light blue box shown on the cytoplasmic end of the open conformation represents an AFM-retrieved structural part.

KcsA shortens its longitudinal length upon opening

The height profile indicates a flat bilayer membrane with a thickness of approximately 4 nm on which surface protrusions are present (Fig. 2A, B, lower panels). The histograms show that the height from the mica surface, or the longitudinal length of the channel, were significantly different at the two different pH values (Fig. 2C): 6.4 ± 0.3 nm at pH 7.5 (A) and 4.9 ± 0.4 nm at pH 4.0 (B). A substantial shortening of the open pore was clearly resolved by AFM.

While this shortening was expected from the crystal structures of the pore domain in the closed and open conformations9,15 (Fig. 1), the degree of the shortening was not, since the structure of several of the residues in the cytoplasmic end in the open conformation has remained unsolved. Thus, the AFM image was compared to the crystal structure in terms of the longitudinal length of the channel. The height for the closed conformation obtained from AFM (6.4 ± 0.3 nm) matches well with that of the crystal structure (6.3 nm; blue arrowhead). In the case of the open conformation, there is a substantial discrepancy between the height of the AFM image (4.9 nm) and that of the crystal structure (4.3 nm; red arrowhead)9. This discrepancy is schematically shown as the light blue square (Fig. 2D) and AFM captured the structure of the crystallographically-unsolved C-terminal end in the open conformation.

The open gate and the tetrameric structure

The channels were observed at a higher magnification (Fig. 3). The individual particles are well resolved for the open channel (Fig. 3B), having a half-width of 6.0 nm in the height profile. For the closed channel, on the other hand, large particles are seen (Fig. 3A) and the coarse-grained particles within them are resolved. The height profile shows a periodicity with a half-width of 6.0 nm. This size matches the open channel, suggesting that the channel is clustered at a neutral pH.

Figure 3
figure 3

Structural images of the cytoplasmic end of the membrane-embedded KcsA channel.

(A,B) Cytoplasmic views of the KcsA channel at pH 7.5 (A) and pH 4.0 (B) and their height profiles along the green line. Particles are resolved in an island at neutral pH, while individual particles are identified at acidic pH. (Inset) A 3-times enlarged view of the arrowed KcsA channels. (C) A further magnified view of the open KcsA channel at acidic pH. The scale bars indicate 3 nm. (D) An averaged AFM image of the open pore at acidic pH. The averaging was performed from 14 images of the open KcsA channels from Figure 3B. The scale bars indicate 3 nm.

Further magnification images of the open gate at an acidic pH (4.0) are shown (Fig. 3C). The individual subunits in the tetrameric structure along with the hole in the center are clearly resolved. In contrast, the tetrameric structure was not resolved for the closed conformation (Fig. 3A inset). The six images are snapshots of the open gate (Fig. 3C), which would evoke the dynamic picture of the gating. In the height profile, a shallow dent is observed in the middle of the protrusion (Fig. 3B, the arrow in the lower panel), representing the open entrance. These images comprise the first observation of the open gate structure of the membrane-embedded KcsA channel. Averaging the open gate images reveals the distinct subunit assembly around the pore (Fig. 3D). From the height profile of the open conformation, the distance between the subunits was measured for the peaks in the subunits. The distance between the diagonal subunits was 4.4 ± 0.3 nm (n = 10) and that between the adjacent subunits was 3.3 ± 0.3 nm (n = 11). These values are clearly not in agreement with those of the crystal structure (3.9 nm and 2.8 nm).

The evident discrepancies in the molecular height and aperture size between the AFM images and the crystal structure indicate that the crystallographycally unsolved C-terminal residues, involving the Hbulge, extend towards the cytoplasmic space. In general, vigorously fluctuating structural regions remain unsolved in crystallography. Therefore, to obtain a dynamic picture of the AFM-captured structure, the terminal regions were reproduced using a computer simulation method.

Fluctuation of the Hbulge detected by MD simulation

To generate the most plausible structure and configuration of the Hbulge at the open pore entrance, the relevant regions were grafted to the open crystal structures and an MD simulation of the CPD-truncated transmembrane domain (residues 22–125) in the membrane-embedded condition was performed.

The structural configuration of the Hbulge in the fully-open structure was obtained using a novel method exploiting structural templates with various degrees of pore opening. In the closed conformation, the crystallographic data resolved nearly all of the amino-acid residues of the CPD-truncated channel up to residue 124. On the other hand, the available open structures with various degrees of opening left the Hbulge unsolved15. Starting from the closed structure (pdb code: 1K4C), the transmembrane region was made to move gradually to the templates of successively more widely open conformations (pdb code: 3F7Y, 3F7V, 3F5W; see the Methods section). The partially neutrarized Hbulge at acidic pH (see Methods) was grafted at the end of the templates and the connecting portion between the Hbulge and the transmembrane region was moved farther apart in an centrifugal manner. Meanwhile the Hbulge protruding towards the cytoplasmic space was allowed to move freely.

Typical structures in the closed and open states obtained by the MD simulation are shown in Fig. 4. The average longitudinal length of the simulated closed structure was 6.4 ± 0.05 nm, which is in good agreement with both the crystal structure and the AFM images (Fig. 4A). In contrast, the longitudinal length of the open structure was elongated substantially compared with that shown in both the AFM images and the crystal structure. The average length of the channel in the open state was estimated to be 5.4 ± 0.13 nm, which is longer than that in the AFM images by 0.5 nm (shown in magenta in Fig. 4C,D). Moreover, the average distance of the diagonal subunits is 4.5 nm, which is slightly more separated compared with that in the AFM images (Fig. 4D), while no differences were seen in the closed conformation (Fig. 4B). These differences in the open structure between the AFM images and MD simulation indicate that the MD simulation complemented the very end of the Hbulge in the open gate.

Figure 4
figure 4

Dynamics of the CPD-truncated transmembrane structure of the KcsA channel according to the MD simulation.

(A) The side view of the closed structure (the cytoplasmic side up). (B) The bottom view of the closed structure. In the MD-simulated structure, the transmembrane region is colored cyan, which is similar to the X-ray crystallographic structure. The cytoplasmic end, that missed in the X-ray crystallographic structure is shown in yellow. (C) The side view of the open structure. (D) The bottom view of the open structure. The transmembrane region is colored cyan, which is similar to the X-ray crystallographic structure. The cytoplasmic end, which is colored in yellow, constitutes the plausible structure that the AFM images detected. The structural parts, colored magenta, make up the terminal structure that the MD simulation resolved. The membrane was not shown in these figures. (E) The B-factor was calculated from the MD simulation. The red and blue lines represent the B-factor obtained from the MD simulation for the open and closed structures, respectively. The B-factors of the crystal structures in open and closed states are also shown (the broken lines). The B-factors for residues 118–125 are significantly large. The B-factor for the extracellular loop was substantially higher than the intra-membrane region. (Inset) A subunit of the open configuration is shown, assigning the B-factors for the Cα atoms with the volume of the spheres.

The MD simulation showed that the Hbulge sticks out into the cytoplasmic space in the open state and fluctuates substantially (in yellow and magenta), while the main transmembrane regions (cyan) maintain an approximate 4-fold symmetry (see the Supplemental video, Movie 1). This flexibility is represented as the B-factor, i.e. the temperature factor related to the structural fluctuation33 (Fig. 4E). In both the open and closed states, the B-factors of the transmembrane helices obtained by the MD simulation were coincident with that of the closed (1K4C) structure, but smaller than the open (3F5W) structure. In contrast, the B-factors of the portions sticking out into solution (the extracellular loop and both ends) exhibited a higher value due to thermal fluctuations. In particular, the extremely high B-factor of the Hbulge clearly reflects its fluctuation. On the other hand, in the closed state, the cytoplasmic ends form a bundle crossing, so the fluctuations are suppressed (see the Supplemental video, Movie 2).

The four Hbulge regions exhibited different structural configurations and these were interconvertible with each other on a slower time scale (Movie 1). In fact, changes in the structural configurations of each of the helices were observed several times over the total simulation time of 200 ns and once a helix obstructed the pore, it did so for 5 to 10 ns or more. These results suggest that the movement of each helix has slower transition kinetics and the MD simulation picked up some of these events.

The fluctuating Hbulge chops up the ionic current

To determine the relationship of the structural fluctuation of the Hbulge observed in the MD simulation to the functional behavior of the channel, single-channel current measurements were performed. Here we examined a non-inactivating mutant of the KcsA channel, E71A, without a CPD, such that the functional features of the activation gate are demonstrated (Fig. 5)34. The single-channel currents of the E71A mutant channels at pH 4.0 revealed that the activation gate is kept open more than 90% of the time, during which period vigorous fluctuations in the current are observed (Fig. 5A). Brief and frequent intermissions towards the non-conductive state present and these fast events could not be fully resolved under the limited bandwidth of the current recordings (a 2 kHz cut-off frequency). The amplitude histograms were drawn with the vertical axis in the logarithmic scale such that the current noise was clearly evident35,36. Compared to the Gaussian distribution (the solid curve) the histogram of the open state shows a one-sided shoulder with a long lasting tail, which is consistent with the presence of unresolved brief closures35,37. A sub-level (the red arrow head) is evident in both the current traces and the amplitude histogram.

Figure 5
figure 5

Single-channel current at +100 mV without (A) and with (B) CPD at pH 4.0.

The all-point amplitude histograms are shown with the vertical axis in the logarithmic scale and the peaks are fitted with the Gaussian function. The shoulder of the open conductance peak is prominent for the CPD-truncated channel, indicating the open-channel noise from the highly fluctuating gating. A low conductance sub-level (the red arrowhead) was seen for the CPD-truncated channel.

To address the fluctuating current in relation to the fluctuating motion of the Hbulge, complete deletion of the Hbulge might be helpful. However, the deletion would lead to a loss of pH sensitivity and is thus inappropriate for functional measurements. Alternatively, the addition of the cytoplasmic domain imposes a load on the freely fluctuating bulge helices. Thus, the KcsA channel with and without the CPD makes it possible to compare the single channel behavior in order to elucidate the role of the CPD and the activity of the Hbulge. In Fig 5B, the single-channel currents of the full-length channel are shown. With the CPD, the current fluctuation was attenuated substantially, although the open probability was unchanged. The shoulder of the open channel in the histogram was depressed substantially.

The more frequent transition to the non-conducting state for the CPD-truncated channel indicates that the bulge helices freely fluctuate and transiently obstruct the conductive pathway. This choppy activity is attenuated but not eliminated in the presence of the CPD, which restricts the free movement of the bulge helices. The sub-level activity occurred exclusively for the CPD-truncated channel and this suggests that the freely moving bulge helices incompletely closed the conductive pathway.

Discussion

In this study, a dynamic picture of the open gate for the KcsA channel embedded in the membrane was obtained by means of an integrated single-molecule approach. AFM revealed the novel findings that the cytoplasmic end of the transmembrane pore domain protruded from the membrane surface and the longitudinal length was substantially shortened upon opening. The high-resolution AFM images render the clear distinction between the closed and open gate stracture. In the open conformation, the tetrameric subunits were separately resolved with the pore open at the center. While the longitudinal length of the closed conformation was in agreement with that of the crystal structure, the substantially elongated and widened aperture relative to the crystal structure was also elucidated for the open conformation. The AFM-captured structural regions included the Hbulge and thus the relevant portion was grafted onto the open crystal structure in the course of the MD simulation. The MD simulation depicted the dynamics of the Hbulge in the open gate, which manifested as open-channel noise in the single-channel current as the result of a “chopping up” of the entryway.

The time span of the Hbulge fluctuation in the MD simulation (< hundreds of ns) and the single-channel current recordings (> hundreds of μs) differs substantially. The end of the Hbulge observed in the MD simulation moves rapidly, in the time range of ns and the Hbulge moves as a rigid-body, with a correspondingly slower time scale. The random hits for each helix and maintaining the obstructed configuration for a period of several ns led to the collective motions of the helices to slam the open pore shut. This stochastic event is likely to be both rare and brief, in a time range of μs. On the other hand, the fluctuating single-channel current traces suggested events in the time range of sub-ms. However, based on the theoretical consideration of the open channel noise35, the asymmetric shoulder of the amplitude histogram confirms that the underlying events occur in a time span of μs. Thus, a gap in the time span for the two results in the MD simulation and the single-channel current data is merging.

The open-channel noise in the single-channel current was vigorous in the CPD-truncated KcsA channel (Fig. 5). By restoring CPD as a full-length channel, the current fluctuation was substantially attenuated but still remained. Thus, CPD restricts but does not completely eliminate the flexible movement of the Hbulge. What is the functional role of the fluctuation that takes place in the bulge helices? The fluctuating behavior is likely an inherent property of the highly charged pH sensor29,31 which bears net positive charges at acidic pH. Earlier reports demonstrated that the pH-dependence was reduced by deleting the CPD (The Hill coefficient of the pH sensitivity was shown to be 0.7 for the CPD-truncated channel, rather than 1.4 for the full-length channel29). Based on these findings, we hypothesize that there is a functional role of the bulge helix. At neutral pH, the bulge helices are stably bundled through either electrostatic interaction or hydrogen-bond formation. At acidic pH, the net positive charges act as a repulsive force in the bulge helices29, leading to their fluctuation. In the absence of CPD, vigorous fluctuations in each helix may drive the opening of the activation gate in each subunit. On the other hand, in the full-length channel with the CPD present and hence restricting the free motion of the bulge helices, the individual movements of the bulge helices cooperate so as to induce a concerted effect on the activation gate that maximizes pH-sensitivity.

Efforts are currently underway to gain insight into the continuous spectrum of the structural and functional dynamics of channel proteins.

Methods

Materials

The KcsA channel was purified as described previously38. Cytoplasmic domain (CPD)-truncated KcsA was prepared with previously reported procedure27. Phospholipid and detergent used in this study are L-α-Phosphatidylcholine Type IV-S (asolectin; SIGMA) and n-Dodecyl-β-D-maltoside (DDM; Dojindo).

Reconstitution of KcsA into liposome

The phospholipid was dissolved in chloroform and then the solvent was evaporated under a stream of nitrogen. The resulting lipid film was dried in vacuo for at least 6 h. The dry thin film was hydrated with a buffer solution (10 mM HEPES/NaOH (pH 7.5), 200 mM KCl), thereby providing a liposomal suspension. A DDM solution was added to the suspension to give a co-micellar solution (0.06 wt% DDM of the final concentration). The solution of the KcsA dissolved in a buffer (0.06 w% DDM in 10 mM HEPES/NaOH (pH 7.5), 200 mM KCl) was added to this co-micellar solution (in the range of 3/1–5/1 of lipid/protein ratio (w/w)) and incubated for at least 1 h at 4°C. After incubation, the co-micellar solution was dialyzed against detergent-free buffer for 30 h and stored at 4°C. The proteoliposomal suspension was used for experiments within 1 week.

Liposome extension on the mica surface and AFM observation

Flat lipid bilayers on a mica surface were prepered with vesicle fusion method39,40. The proteoliposomal suspension was put onto a mica substrate after the addition of MgCl2 solution. After ~15 min of incubation, the solution was gently replaced with buffer at a pH of 4.0 (10 mM succinic acid pH 4.0, 300 mM KCl) or pH 7.5 (10 mM HEPES pH 7.5, 300 mM KCl). Images were taken with a Picoplus 5500 (Molecular Imaging) in the acoustic AC mode at room temperature. Cantilevers used were BL-AC40TS (tip radius: <10 nm, spring constant: ~0.1 N/m, OLYMPUS). All images were recorded in buffer solution in liquid cells. To evaluate the longitudinal length of the channel, the height profile, cross-sectioning the highest peak of the channel as well as the mica surface in its course, was used.

Image processing

The averaged images of KcsA molecules were processed using a custom-made program running on Igor Pro 6.2. A reference molecule was picked up as a region of interest (ROI) and the molecules with similar features were collected using correlation pattern matching over the entire image. KcsA molecules with a normalized correlation coefficient over 0.9 to the reference image were averaged in four-fold symmetry.

MD simulation

The MD simulations were performed with using the AMBER9 package41. In order to minimize the dependency of the trajectories on the initial coordinates, ten different initial coordinates were generated for both the closed and open structures at the NVT ensemble (310 K). A periodic boundary condition was imposed. Electrostatic interactions were calculated using the particle mesh Ewald method42 with a 0.8 nm cutoff in real space. The cutoff of the Lennard-Jones interaction was 0.8 nm. The bonds including those of H atoms, were constrained with the SHAKE algorithm43, enabling a time step of 2 fs.

The system was prepared in the following manner. First, the dioleoylphosphatidylcholine (DOPC) bilayer was equilibrated with the surrounding KCl solution for 10 ns. The empirical potentials were used for water (TIP3P)44, DOPC45 and ions46. The area per lipid after the equilibrium was confirmed to be the same as that reported. To avoid the aggregation of KCl clusters47, parameters for ion developed by Dang et al. were used. The MD simulation was performed at the NPT ensemble (1 bar, 310 K) using Berendsen's barostat48. A vacant space was then created by removal of the DOPC and solution for filling the KcsA channel (PDB code: 1K4C) with F125 added to the C-terminal end (residues 22–125). The AMBER94 parameters were used for the KcsA channel49. E71 was protonated as in the previous study50. H25, E118, E120 and H124 were also protonated with the structure in the open state under an acidic condition (pH = 4.0). Equilibrium simulation was performed for 10 ns at NPT ensemble (1 bar, 310 K), where the Cα in residues 22–124 were under the influence of a weak harmonic constraint (0.25 kcal/mol/Å2). The simulation for equilibration in the NVT ensemble (310 K) was continued for 10 ns after the constraint on the KcsA channel was removed.

The coordinates of the Cα in residues 30–114 were constrained to those of a 1.7 nm-wide open structure (PDB code: 3F7Y) using a weak harmonic constraint (0.25 kcal/mol/Å2) for 50 ns. Next, the coordinates of the same Cα were induced to those of a 2.3 nm-wide open structure (PDB code: 3F7V) with the same harmonic constraint for 50 ns. Finally, the coordinates of the same Cα were constrained to those of 3.2 nm-wide open structure (PDB code: 3F5W) in the same way. Although the restraints were imposed on the Cα atoms, the resultant structure was similar to that of 3F7V in respect of the average Cα- Cα distances at T112 of the diagonal subunits (2.4 nm).

For ten different initial coordinates, each coordinate was calculated for 20 ns under NVT ensemble without restraint and was used for the analyses. The total simulation time was 200 ns for both closed and open states. In the closed state, the system comprised of one KcsA channel, 119 DOPC, 30 K+, 58 Cl and 10704 water molecules. The system measured 77.3 × 80.5 × 87.1 Å3.

Single-channel current recordings

Planar lipid bilayer method was used for the single-channel current measurements as reported previously38. A Teflon sheet of 0.5 mm thickness with a hole (<100 μm diameter) was used as a partition which divided the two (cis and trans) compartments of a chamber. The planar lipid bilayer was formed on a hole by painting 20 mg/mL n-decane (Nacalai, Kyoto, Japan) solution of 1-palmitoyl-2-oleoyl-sn-glycero-3-phospho-(1′-rac-glycerol) (Avanti Polar Lipids, Alabaster, AL). Electrolyte solution in the cis and trans chambers contained 200 mM KCl buffered by 10 mM HEPES (pH 7.5) and 10 mM succinic acid (pH 4.0), respectively. The reference electrode was placed in the cis compartment, to which KcsA channels reconstituted in proteoliposomes were added. The current was recorded through an Axopatch 200B amplifier and Digidata 1322A digitizer (Molecular Devices) and the data were analyzed by using pCLAMP software (Molecular Devices, Sunnyvale, CA). The low pass filter was set to 2 kHz for the cut-off frequency and the data were sampled at 5 kHz.