Abstract
Voltage-gated K+ (Kv) channels are tetrameric assemblies in which each modular subunit consists of a voltage sensor and a pore domain. KvLm, the voltage-gated K+ channel from Listeria monocytogenes, differs from other Kv channels in that its voltage sensor contains only three out of the eight charged residues previously implicated in voltage gating. Here, we ask how many sensors are required to produce a functional Kv channel by investigating heterotetramers comprising combinations of full-length KvLm (FL) and its sensorless pore module. KvLm heterotetramers were produced by cell-free expression, purified by electrophoresis, and shown to yield functional channels after reconstitution in droplet interface bilayers. We studied the properties of KvLm channels with zero, one, two, three, and four voltage sensors. Three sensors suffice to promote channel opening with FL4-like voltage dependence at depolarizing potentials, but all four sensors are required to keep the channel closed during membrane hyperpolarization.
Keywords: lipid bilayers, membrane proteins, voltage gated potassium channels, membrane reconstitution
Depolarization activated, voltage-gated K+-selective channels (Kv) comprise four identical subunits each contributing a complete voltage sensor (S1–S4) and a quarter of the ion-conductive pore (S5–S6) (1, 2) (Fig. 1A). Upon membrane depolarization, the positively charged transmembrane segment S4 in each voltage sensor moves outward from its resting state and induces conformational changes in the pore. Between the resting and the open state, the channel undergoes a number of kinetic transitions. Transitions between the resting state and the last step that precedes opening and outward K+ flux define the voltage-dependent “activation” of the channel. In the Kv Shaker, activation entails at least five kinetic transitions observable as gating currents: Three early transitions that are voltage-dependent but noncooperative are followed by two late transitions (3–5). At the end of the activation pathway, each subunit is in an “activated-not-open” conformation (6, 7) referring to the state of the sensor and pore, respectively. Although it is well established that each sensor moves independently during the early transitions in activation (8), the nature of the interactions between subunits in Kv channels underlying the transition from activated-not-open to open (the opening transition) remains unsettled (6, 9–12). Structurally, the late kinetic transitions are considered to arise from conformational changes in the S4–S5 linker (7, 13), whereas the final opening transition (6, 7) entails a change in conformation of S6, which forms the bundle-crossing of the pore (activation gate).
To determine the interplay between subunits underpinning the voltage dependence of the opening transition, it is necessary to uncouple it from the activation transitions that precede it and occur at similar rates. This dissection is possible when the opening transition is delayed or blocked. In Shaker, this has been achieved by blocking with 4-aminopyridine (7, 14, 15) or by mutations, including a single mutation at the beginning of the linker between the sensor and the pore (L382V) (3) or a triple mutation (ILT) in the S4 segment of the sensor (6, 10, 16, 17). Alternatively, the assembly of hetero-oligomers composed of wild-type (WT) and mutant Kv subunits was explored as a means to examine inter-subunit interactions during voltage-dependent activation (4, 6, 9–12, 16–25). In these studies, hetero-oligomers were assembled either by coexpression of mutant and WT subunits or by fixing the stoichiometry and arrangement of WT and mutant subunits in the oligomer through fusion of the genes encoding them in the desired order. Collectively, the inferences derived from findings with Shaker agree that the opening step is weakly voltage-dependent or voltage-independent (10, 21, 22), yet they differ on the degree of cooperativity underlying the transition (6, 11, 12).
To explore the role of voltage sensors in the activation and opening of KvLm, we exploited the structural independence of the pore and sensor modules (26–30), together with the weak voltage-dependent gating of the sensorless pore module (PM) (S4–S5 linker–S5–S6) relative to the full-length channel (FL) (S1–S6) (31–33), to produce functional heterotetramers (Fig. 1B). To accomplish this goal, we extended a method used in our laboratory (34–36) and by others (37) to produce mixtures of heteromers by in vitro transcription and translation (IVTT), followed by the separation of defined heteromers by gel electrophoresis (Fig. 1C). By this means, channels containing from zero to four voltage sensors were generated. Droplet interface lipid bilayers (DIBs) (38, 39), formed between two lipid monolayer-encased aqueous nanoliter droplets submerged in hexadecane, were used to measure the single-channel conduction and gating properties of the heteromers. This strategy allowed us to show that (i) at least three sensors are required to open a channel upon depolarization that displays single-channel conductance, open-state occupancy (Po), and burst duration values similar to those of the homotetramer comprising full-length subunits; (ii) three or four sensors dramatically increase the Po relative to channels with zero, one, or two sensors by converting a large number of openings to long bursts; (iii) the opening frequency after a long closure is largely insensitive to the number of sensors present; (iv) all four sensors are needed to completely close the channel upon hyperpolarization; and (v) the current–voltage (I–V) properties of the open channel are largely unmodified whether sensor modules are present or not.
Results
Functional Equivalence of KvLm-FL and KvLm-PM Proteins Produced by IVTT or Bacterial Expression.
Because correct oligomerization may not reflect native folding and therefore normal function, single-channel currents from FL and PM homotetramers (FL4 and PM4) produced by expression in Escherichia coli (Fig. 2B) (31) were compared to those expressed by IVTT (Fig. 2A). The single-channel conductance (γ) of FL4 expressed by IVTT was 73 ± 7 pS (determined by a Gaussian fit to the open state in a current histogram; Fig. 2C), whereas that of PM4 was 113 ± 7 pS, at V = +150 mV in 0.5 M KCl, 10 mM HEPES, pH 7.4 (n = 4). Under identical conditions, γ of FL4 expressed in E. coli was 66 ± 7 pS, while that of PM4 was 105 ± 10 pS (n = 4) (Fig. 2C). The steady-state Po of FL4 and PM4 homotetramers produced by IVTT or by expression in E. coli were also compared. At a depolarizing potential (+150 mV), the Po of FL4 expressed by IVTT was 4.0 ± 0.4 × 10-2 and that of PM4 was 1.0 ± 0.5 × 10-3 (Table 1); the corresponding values for FL4 and PM4 expressed in E. coli were 3.7 ± 0.7 × 10-2 and 1.3 ± 0.8 × 10-3. At a hyperpolarizing potential (-150 mV), FL4 channels expressed either by IVTT (Fig. 2A) or in E. coli (Fig. 2B) failed to open, a hallmark of Kv channels; by contrast, Po for PM4 expressed by IVTT was 6 ± 1 × 10-4 and in E. coli was 4 ± 2 × 10-4. The near equivalence of γ together with the similar patterns of activity at positive and negative potentials demonstrates that the two methods of protein expression produce channels with similar functional properties. This implies that both FL4 and PM4 proteins retain a native fold and function even after separation by SDS gel electrophoresis (Fig. 1C).
Table 1.
Tetramer | Conductance, pS | Open-state lifetime, ms* | Open-state occupancy | Closed-state occupancy | Median burst duration, ms | Bursts per second |
FL4 | 73 ± 7 | 1.9 ± 0.3 | 4.0 ± 0.4 × 10-2 | 0.9 ± 0.1 | 16 ± 3 | 5 ± 1 |
FL3PM1 | 93 ± 7 | 1.7 ± 0.3 | 5.0 ± 0.5 × 10-2 | 0.7 ± 0.1 | 11 ± 3 | 13 ± 2 |
FL2PM2 | 73 ± 2 | 0.3 ± 0.2† | 2 ± 2 × 10-4 | < < 0.1† | NA | NA |
FL1PM3 | 93 ± 7 | 1.5 ± 0.3 | 2 ± 1 × 10-3 | 0.9 ± 0.1 | 5 ± 0.4 | 0.4 ± 0.3 |
PM4 | 113 ± 7 | 1.4 ± 0.3 | 1.0 ± 0.5 × 10-3 | 0.9 ± 0.1 | 4 ± 0.2 | 0.7 ± 0.3 |
Single-channel properties recorded at V = +150 mV for homotetrameric and heterotetrameric assemblies composed of KvLm-FL and KvLm-PM subunits.
*It is worth noting that fittings of open time distributions of all assemblies but FL4 miss a short-lived component (< 1 ms) (Figs. S2 and S3). The conjecture that all four sensors stabilize the open state is in line with these observations notwithstanding the limitation of our recording system to resolve such brief openings.
†For FL2PM2, open- and closed-state lifetimes are estimates given that the time resolution of the recording prevents rigorous determinations. Open and closed state occupancies do not add up to 1 because the channel resides in a subconductance state(s) for a fraction of the time.
Coexpression of KvLm-FL and KvLm-PM Subunits Yields Heterotetramers that Are SDS Resistant.
Coexpression of KvLm-FL and KvLm-PM proteins by coupled IVTT generated SDS-resistant hetero-oligomers that were separated according to their size by electrophoresis in a 7.5% SDS polyacrylamide gel (Fig. 1C). Five bands were observed, with apparent molecular weights (Mr) of 68, 80, 95, 105, and 115 kDa. These values are in good agreement with the calculated masses of tetramers for all possible subunit stoichiometries: PM4(73 kDa), FL1PM3 (84 kDa), FL2PM2 (96 kDa), FL3PM1 (107 kDa), and FL4 (119 kDa). Proteins were extracted from fractions excised as bands from the gels (see Materials and Methods) and all single-channel recordings were performed by reconstituting distinct tetrameric assemblies in DIBs.
Single-Channel Conductance Properties of Heteromers.
Representative steady-state single-channel currents recorded at V = +150 mV and V = -150 mV (Fig. 3) show that all KvLm heteromers produced by cell-free expression (Fig. 1C) yield functional channels after reconstitution in lipid bilayers. To discern the differences in permeation and gating of each heteromer, segments of the records are displayed at higher time resolution in the corresponding right panels (Fig. 3). Only single-channel records were selected for analysis; those displaying two or more concurrent channel openings were excluded. The homotetramers FL4 and PM4 exhibit the single-channel properties previously characterized by Santos et al. (31): FL4 exhibits clusters of channel openings (bursts) (Fig. 3A) with intraburst closures ≤ 15 ms (τcrit; see Materials and Methods), which are terminated by interburst closures ≥15 ms, whereas PM4 (Fig. 3E) displays primarily isolated, short openings. In both cases, the single-channel current fluctuates between open and closed states, including the occurrence of at least two subconductance states (substates denoted as S) (Fig. S1). Notably, these substates are predominantly visited during the closing of the channel, similarly to what is seen in Shaker (40); by contrast, channel opening remains an all-or-none process independent of the number of sensors present (except for constructs with two sensors; see below). To focus on the fully open state of the channel (i.e., when all subunits are in the conducting conformation) without contamination from residency in substates (40–42), we separated the open states by event detection with the segmental k-means algorithm (SKM) implemented in QuB (see Materials and Methods). Here, we focus only on the open-state amplitude, lifetime, Po, and bursting frequency at V = +150 mV, a potential at which the Po for each construct is nearly saturated (see below). At +150 mV, the γ values are: FL4 = 73 ± 7 pS, FL3PM1 = 93 ± 7 pS, FL2PM2 = 73 ± 2 pS, FL1PM3 = 93 ± 7 pS, and PM4 = 113 ± 7 pS. These values indicate that γ for FL4 is the smallest (except for FL2PM2) and that the inclusion of one or more PM subunit increases γ by more than 20%. Inspection of the single-channel currents for FL2PM2 shows that, unlike the other tetramers, it exhibits extremely brief openings. At first sight, these fluctuations appear erratic and irregular; however, they are indeed features of the FL2PM2 heteromer given that they can be entirely eliminated by exposure to 100 μM tetrabutylammonium (TBA), a Kv channel blocker that blocks both PM4 and FL4 (31). It is noteworthy that the FL2PM2 heteromer rarely resides in the open or closed state: It dwells most of the time in a low-amplitude substate (Fig. 3C). We conjecture that the low value of γ measured for FL2PM2 arises either from the failure of the construct to open to full conduction or because the openings are too short for the amplitude to be correctly determined by the recording system.
All Four Voltage Sensors Are Required for Rectification.
All heteromers containing PM subunits display single-channel currents under both depolarizing and hyperpolarizing conditions. By contrast, no current was detected for FL4 at negative applied voltages (Po < < 6 × 10-6) (Figs. 3 and 4A). The implication is that all four voltage sensors in a tetramer are required to keep the channel fully closed at negative potentials. This is consistent with the proposed principal role of the voltage sensor in Kv channels: To keep the channel closed at hyperpolarizing membrane potentials (43, 44). In addition, the failure of three FL subunits to coerce a fourth PM subunit to close at hyperpolarizing potentials suggests that channel closing at hyperpolarizing potentials is not cooperative in KvLm.
Only Three Sensors Are Required for Intact Voltage-Dependent Gating and Maximum Po.
To investigate the coupling of the voltage sensor to pore opening, we determined the Po of each heteromer at potentials ranging from 0 to +200 mV (Fig. 4B). Two striking features emerge from the analysis. First, the Po of channels with three or more sensors saturates at values approximately 20-fold larger than for those channels with zero or one sensor. Second, a two-state Boltzmann fit to the data shows that the slope of the fitting function (“z”, the apparent gating charge) increases approximately 3-fold upon acquisition of three or more sensors (Fig. 4C).
Channel Closing at Activating Potentials Is Determined by the Sensor.
The heightened Po in channels with three or four sensors at saturating potentials may result from an increase in the frequency of opening, an increase in the bursting frequency, an increase in mean open time, or an increase in burst duration. To identify the culprit(s), we analyzed the distribution of closed and open dwell times and determined the median burst duration and burst frequency at +150 mV for each oligomeric assembly (Figs. S2 and S3 and Table 1). Focusing first on the role of the sensor in closing the channel, we find that the open dwell times of all tetramers are fit by a single component probability density function with characteristic open dwell lifetimes that appear insensitive to the number of sensors: (PM4) 1.4 ± 0.3 ms, (FL1PM3) 1.5 ± 0.3 ms, (FL2PM2) 0.3 ± 0.2 ms, (FL3PM1) 1.7 ± 0.3 ms, and (FL4) 1.9 ± 0.3 ms. In contrast, burst analysis shows that the addition of three or more sensors increases significantly the median burst duration relative to channels with one or no sensors; in this way, the sensor contributes to the stability of the open conductive state (Table 1 and Fig. 4D). Furthermore, the roles of the sensors in this process are not independent because three or more sensors are required to evoke the change.
Channel Opening Is Insensitive to the Number of Sensors Present.
The closed dwell-time distributions of all heteromers, apart from FL2PM2 (Fig. S4), are well fit with two time constants (τ1 and τ2) that differ in duration by approximately 100-fold, a property of bursting channels (Figs. S2 and S3). To investigate the role of the sensor in evoking the transition from closed to open, we asked if the frequency with which the channel transits from a long closure (> τcrit) to the open state is a function of the number of sensors. Our analysis (see Materials and Methods) shows no correlation: 9 ± 3 s-1 for PM4, 4 ± 3 s-1 for FL1PM3, 25 ± 3 s-1 for FL3PM1, and 10 ± 3 s-1 for FL4. This analysis strongly suggests that probability of transiting from a long closure to the open state is insensitive to the number of sensors present. The observation that the burst frequency increases from 0.7 ± 0.3 s-1 in PM4 to 5 ± 1 s-1 in FL4 indicates that while for PM only 0.7 out of 9 openings become bursts, 5 out of 10 openings mark the beginning of a burst for FL4. This analysis is consistent with the notion that the primary role of the sensor is to convert short openings, as manifested in PM4, into long bursts in FL4.
Discussion
In 2008, Santos et al. demonstrated that, in the absence of all sensors, the pore of KvLm retains full selectivity and weak voltage-dependent gating (31). These findings validated an early prediction (45–47) and contemporary structural data (27, 28), which suggested that Kv channels are modular assemblies of four sensor modules and one pore. Here, we have assessed the modularity of Kv channels by assembling tetramers lacking sensor domains. Specifically, we aimed to answer the question: What is the role of the voltage-sensor in opening and closing of KvLm?
Modular Design of Kv Channels.
First, we showed that purified heterotetramers of KvLm-FL and KvLm-PM subunits, synthesized by using a cell-free expression system, are active after reconstitution in lipid bilayers. This engineering success demonstrates that, within the KvLm subunit, proper folding of voltage sensor and PMs is largely independent and that correct oligomerization is achieved with any number of sensors. We therefore suggest that the pore-only construct (KvLm-PM, PM4) might embody a valuable and robust scaffold for the assembly of novel Kv channels by the attachment of designed sensors to each of the four “accepting” pore subunits.
Sensor Contribution to Po: A Role for the Sensor in Keeping the Channel Open.
Second, we showed that the open-state occupancy of KvLm is determined by the gating phenotype of the most abundant subunit in the heteromer. If the oligomer has more FL than PM subunits, the channel gates with the efficacy of FL4. Conversely, if the assembly has more PM than FL subunits, the channel gates with the low Po characteristic of the sensorless PM4. Burst analysis demonstrates that the observed difference in Po correlates with burst duration as well as with burst frequency: Channels with three or four sensors exhibit burst durations approximately 2- to 4-fold longer and undergo bursting at least 7-fold more frequently than channels with zero or one sensor. The nonlinear increase in burst duration and burst frequency upon incremental addition of FL subunits, and the finding that at least three sensors are required to support an FL4-like channel suggest that channel opening is sustained by a complex set of interactions between voltage sensors.
Subunit Contribution to Absolute Rectification: A Role for the Sensor in Channel Closing.
All four sensors are required for full closure (Figs. 3A and 4A). This indicates that at hyperpolarizing potentials the structure of the pore in the absence of one or more sensors is different from that in FL4. The simplest explanation is that in the absence of just one sensor the pore cannot be sealed closed. Presumably, in the KvLm pore, all four sensors must do work against the repulsion between the highly charged C-terminal S6 sequences (RAKK) at the bundle crossing where the “activation” gate closes.
Concluding Remarks
What is the role of each sensor in Kv channels? We speculate that, without the sensor module, the PM resides in a conformation ready to open, presumably in a state between closed-activated and open. Here we show that sensor must do two jobs: Keep the channel closed at hyperpolarizing potentials (Figs. 3A and 4A) and keep it open at depolarizing potentials (Fig. 4 B and D). Both of these roles have been proposed for the voltage-sensors in eukaryotic channels (43, 44) suggesting a similar mechanism of operation among all Kvs. Importantly, the PM also contains a voltage sensor of low efficacy that is insufficient to seal the channel closed, yet competent to gate the channel open (albeit with low Po). These results suggest that the structural element that gates the pore in the absence of the sensor may include part of the gating charge that participates in the last step before the start of conduction in eukaryotic Kvs (10). This inference naturally leads us to ask: Where is this charged component located in the pore?
Materials and Methods
Cell-Free Expression and Purification of KvLm.
KvLm-FL and KvLm-PM genes were cloned in between the NdeI and HindIII restriction sites in the pT7-SC1 expression vector (48). KvLm-FL and KvLm-PM were coexpressed in a cell-free coupled IVTT system to form mixtures of heteromeric KvLm tetramers. The IVTT kit contained an E. coli T7-S30 extract optimized for circular DNA (Promega no. L1130). The complete amino acid mixture (5 μL, 1 mM) and premix solution (20 μL) were mixed with L-[35S]methionine (2 μL, 1,175 Ci mmol-1, 10 mCi mL-1 MP Biomedicals), plasmid DNA (FL: 4 μL, 400 ng μL-1, PM: 4 μL, 400 ng μL-1) and T7-S30 extract (15 μL) supplemented with rifampicin (1 μg mL-1), and then incubated at room temperature for 5 h. n-Dodecyl-β-D-maltoside (DDM) was then added to a final concentration of 1 mM to solubilize the expressed protein, and the sample was further incubated for 1 h at room temperature. Laemmli sample buffer (2×, 100 μL; Bio-Rad Laboratories) was then added and the sample was loaded, without heating, into a 7.5% Tris-HCl SDS polyacrylamide gel. The gel was run for 12 h at 70 V to achieve maximal separation between the oligomers. The gel was vacuum dried without heating onto 3 MM chromatography paper (GE Healthcare) and visualized by exposure to film (BioMax MR-1; Kodak). Each of the homomer and heteromer-containing bands was cut from the gel by using the autoradiogram as a reference. The cut-out pieces were rehydrated in a buffer (300 μL) containing 10 mM 4-(2-hydroxyethyl)-1-piperazineethanesulfonic acid (HEPES), 1 mM DDM, 10 mM KCl, pH 7.5, for 30 min, and the paper backing of the gel removed. The rehydrated gel pieces were crushed with a pestle (Bellco Glass Inc), transferred to a 0.2-μm cellulose acetate microfilter tube (Rainin) and centrifuged at 25,000 × g for 10 min. The eluted protein was aliquoted (20 μL) and stored at -80 °C.
E. coli Expression and Purification of KvLm.
E. coli expression of KvLm-FL and KvLm-PM was carried out as described before (31).
Lipid Vesicle Preparation and Protein Reconstitution into Liposomes.
Liposomes were composed of 90% (mol percent) 1,2-diphytanoyl-sn-glycero-3 phosphocholine (DPhPC) and 10% of the negatively charged lipid, 1,2-dioleoyl-sn-glycero-3-phosphatidic acid (DOPA) (Avanti Polar Lipids). DPhPC and DOPA stock solutions in chloroform (10 mg mL-1) as obtained from Avanti were mixed in the required ratio. The mixture was transferred to a glass vial, and then dried under a stream of nitrogen. The lipids were further dried under vacuum in a desiccator for 2 h. Buffer (0.5 M KCl, 10 mM HEPES, pH 7.4) was added to the dried lipid mixture to give a final lipid concentration of 0.5 mM, followed by thorough vortexing to ensure mixing. The suspension was subjected to five freeze-thaw cycles, extruded (LIPEX™ Extruder, Northern Lipids) nine times, through two 0.1-μm Isopore membrane filters (Filter code:VCTP01300 Millipore), and stored at 4 °C.
For reconstitution, the IVTT-expressed protein was diluted approximately 20-fold in the liposome suspension, whereas the E. coli expressed protein was diluted approximately 100-fold. The protein–lipid mix (proteoliposomes) was incubated on ice for 15 min prior to bilayer recording experiments. All the electrical measurements were performed at room temperature in 0.5 M KCl, 10 mM HEPES, pH 7.4. Fresh aliquots of liposomes and protein were used for every experiment.
Single-Channel Recordings Using DIBs.
Single-channel currents were recorded from DIBs as described (38). Briefly, a 10 × 10 × 4 mm Perspex chamber was filled with hexadecane (Sigma Aldrich) containing 1% DPhPC. A 0.1-mm-diameter Ag/AgCl wire electrode was attached to each of two micromanipulators (NMN-21, Narishige). Droplets (approximately 200 nL) were placed with a pipette on each of the electrodes, which had been coated with 3% wt/vol low-melt agarose. The electrode carrying the droplet with the proteoliposomes in 0.5 M KCl, 10 mM HEPES, pH 7.4 was connected to the grounded end of the patch clamp head-stage (Axopatch 200B, Axon Instruments). The second electrode, in a droplet containing liposomes in the same buffer, was connected to the working end of the head stage. The droplets-containing chamber, electrodes, and the amplifier head stage were enclosed in a Faraday cage.
The droplets were incubated in hexadecane at room temperature until a monolayer of lipid had formed around them (approximately 5 min). A bilayer spontaneously formed (49) when the two droplets were brought into contact by using the micromanipulators. The capacitance of the lipid bilayer was determined by applying a triangular voltage wave with a function generator (Iso-Tech GFG-8216A) and maintained at approximately 300 to 400 pF by adjusting the area with the micromanipulators. After bilayer formation, voltage was applied continuously to monitor channel activity. At least four independent experiments were performed for each KvLm tetramer assembly.
Single-Channel Acquisition and Analysis.
Single-channel currents were sampled at 10 kHz using an Axon 200B patch-clamp amplifier, filtered by using a low pass Bessel filter (80 dB/decade) with a corner frequency of 1 kHz, and then digitized with a DigiData 1320 A/D converter (Axon Instruments). Only single-channel records were used for analysis. The presence of multiple channels in a bilayer was ascertained by the occurrence of concurrent openings of two or more channels in records lasting more than 3 min under the highest imposed potential, typically +200 mV. Given the low open probability of all the tetramers, this approach is not infallible. All preprocessing and analysis of the single-channel records was performed with QuB software (www.qub.buffalo.edu). Prior to analysis, the single-channel currents were further filtered to a final effective (online + offline) frequency of 700–500 Hz. Event detection was performed by time course fitting with the SKM implemented in QuB (50). To avoid the detection of erroneous events, the receiver dead time (td) was set at 300 μs for all records. Therefore, transitions shorter than td were ignored, transitions longer than td were accepted as “events,” and subconductance levels were not counted as openings. The effective gating charge z was obtained from a fit of the open occupancy versus potential (in millivolts) with a two-state Boltzmann function: Po = Pmax ∗ [1 + exp(z ∗ (F/(R ∗ T)) ∗ (V1/2 - V))]-1 with F = 9.6485 × 104 C mol-1, R = 8.3145 × 103 mV C mol-1K-1, and T = 298 K in IGOR (Wavemetrics).
The single-channel characteristics extracted from the time-course fitting are summarized in Table 1. Bursts were defined as a group of three or more opening transitions with intraburst closures shorter than τ-critical (τcrit) and terminated by an interburst closure longer than τcrit. The value of τcrit was calculated from the closed dwell-time histograms in QuB for each record (2 ≤ τcrit ≤ 15 ms). To calculate the frequency with which a channel transits from a long closed period (longer than τcrit) to the open state, we repeated the calculation for burst number but relaxed the burst definition to include any number of events. Accordingly, in this case, a burst or a single opening event each counted as one transition. The analysis reported here is based on the following number of events for each tetramer: FL4 = 20,028; FL3PM1 = 22,264; FL2PM2 = 21,738; FL1PM3 = 12,682; PM4 = 12,575.
Supplementary Material
ACKNOWLEDGMENTS.
The pT7-SC1 vector was a gift from Dr. Stephen Cheley. We thank Syed Asleh Al-Husaini for his encouragement and support. R.S. was supported in part by a Clarendon Scholarship. This work was funded by the Medical Research Council (H.B.) and the National Institutes of Health (GM-49711 to M.M.).
Footnotes
The authors declare no conflict of interest.
This article is a PNAS Direct Submission. E.Y.I. is a guest editor invited by the Editorial Board.
This article contains supporting information online at www.pnas.org/lookup/suppl/doi:10.1073/pnas.1205592109/-/DCSupplemental.
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