Potassium (K+) channels are membrane proteins with the remarkable ability to very selectively conduct K+ ions across the membrane. High-resolution structures have revealed that dehydrated K+ ions permeate through the narrowest region of the pore, formed by the backbone carbonyls of the signature selectivity filter (SF) sequence TxGYG. However, the existence of nonselective channels with similar SF sequences, as well as effects of mutations in other regions on selectivity, suggest that the SF is not the sole determinant of selectivity. We changed the selectivity of the KirBac1.1 channel by introducing mutations at residue I131 in transmembrane helix 2 (TM2). These mutations increase Na+ flux in the absence of K+ and introduce significant proton conductance. Consistent with K+ channel crystal structures, single-molecule FRET experiments show that the SF is conformationally constrained and stable in high-K+ conditions but undergoes transitions to dilated low-FRET states in high-Na+/low-K+ conditions. Relative to wild-type channels, I131M mutants exhibit marked shifts in the K+ and Na+ dependence of SF dynamics to higher K+ and lower Na+ concentrations. These results illuminate the role of I131, and potentially other structural elements outside the SF, in controlling ion selectivity, by suggesting that the physical interaction of these elements with the SF contributes to the relative stability of the constrained K+-induced SF configuration versus nonselective dilated conformations.

The exquisite ability to discriminate between K+ and Na+, or other monovalent cations, yet at the same time to permeate K+ ions at close to diffusion-limited rates, allows K channels to play an essential physiological role in controlling electrical properties of the cell membrane and modulating cell function. There is overwhelming evidence that the narrowest part of the pore, formed by the backbone carbonyls of the TxGYG channel signature sequence, generates the K+ selectivity filter (SF; Doyle et al., 1998; Zhou et al., 2001; Roux, 2017). Hyperpolarization-activated cyclic nucleotide-gated (HCN) channels have a related GYG-containing SF sequence yet allow significant Na+ permeability. In HCN1 cryo-EM structures, the filter can adopt a noncanonical conformation in which only two of the cation binding sites are formed (Lee and MacKinnon, 2017), as is also seen in NaK, a nonselective channel in which the SF sequence is replaced by TVGDG (Shi et al., 2006). Changes in K channel SF crystal structures with ion concentration (Roux et al., 2011; Roux, 2017; Noskov et al., 2004) and structures that reveal disrupted, presumably inactivated SF conformations (Cuello et al., 2010; Bhate et al., 2010; Cordero-Morales et al., 2007) argue against any simplistic view that the K channel SF must always adopt a rigid canonical structure. Moreover, molecular simulations have consistently indicated that the filter structure should be dynamic (Wang et al., 2016; Wang et al., 2019), with an uneven contribution of the SF K binding sites to selectivity (Noskov et al., 2004). Using single-molecule FRET (smFRET) to assess intramolecular movements in real time (Wang et al., 2016; Wang et al., 2019), we have shown that the predominantly K+-selective KirBac1.1 channel SF transitions between distinct conformations as a function of the ionic milieu, from a constrained K+-selective conformation in the presence of K+ to dilated Na+-selective conformations in the absence of K+ (Wang et al., 2019). That study revealed that the constrained conformation is actually induced by the presence of K+ ions, rather than being preformed and independent of the presence of permeant ions (Wang et al., 2019).

The latter study thus provides experimental evidence that the K channel SF can adopt distinct conformations that depend at least in part on the nature of the permeant ions themselves. The SF is surrounded by other structural elements that do not contact permeant ions, and multiple studies have shown that K+ selectivity can be modulated by mutations outside the SF (Yi et al., 2001; Bichet et al., 2004; Bichet et al., 2006) and by the polarizability of surrounding residues (Rossi et al., 2013). In the present study, we use ion flux experiments to examine the functional effect of non-SF mutations in the neighboring transmembrane helix 2 (TM2) on KirBac1.1 ion selectivity and smFRET experiments to examine the effect on SF conformations. The results provide evidence for a simple model in which modulation of ion selectivity by such mutations results from shifting the relative stability of constrained (i.e., K+-selective) versus dilated (i.e., Na+-selective) conformations of the SF.

Plasmids

Plasmids containing tandem dimeric KirBac1.1 protein-encoding cDNAs (T120C-WT and T120C-WT [I131M]) were constructed as described in previous studies using the pQE60 expression vector (Ampr; Wang et al., 2019; Wang et al., 2016). For KirBac1.1 mutants, mutations were introduced by QuikChange II XL site-directed mutagenesis kit (Agilent) and confirmed by DNA sequencing.

Protein expression and purification and fluorophore labeling

Homotetrameric and tandem dimeric KirBac1.1 (WT and mutant) proteins were expressed and purified following protocols reported previously (Enkvetchakul et al., 2004; Wang et al., 2009; Wang et al., 2019; Wang et al., 2016). The metal affinity-purified proteins were passed through a Superdex-200 10/300 size-exclusion column (GE Healthcare) with running buffer containing 20 mM HEPES, 150 mM KCl, and 5 mM decyl maltoside, pH 7.0. Tetrameric fractions were pooled and concentrated via Amicon Ultra-4 centrifugal filter (MWCO 100 kD; Millipore). Fluorophore labeling was started immediately after gel filtration by adding 1:1 (molar ratio) mix of Alexa Fluor 555 and 647 c2 maleimide to protein solution at final protein:fluorophore molar ratio of 1:5. Labeling reactions proceeded at room temperature for 1 h and were terminated by the addition of 2-mercaptoethanol at a final concentration of 10 mM. A second metal affinity purification was performed to remove free fluorophores or those associated with protein through noncovalent bonds. The labeled proteins were loaded onto a size-exclusion column (Superdex-200 10/300; GE Healthcare), and tetrameric fractions were collected and concentrated for liposome reconstitution. A labeling control using KirBac1.1 WT protein without intrinsic cysteine was always included to evaluate fluorophores bound nonspecifically or associated with protein through noncovalent bonds. All purifications were performed at 4°C except for labeling reactions.

Protein reconstitution

POPE (1-palmitoyl-2-oleoyl-sn-glycero-3-phosphoethanolamine) and POPG (1-palmitoyl-2-oleoyl-sn-glycero-3-phospho-(1′-rac-glycerol)) lipids (3:1, wt/wt) were dissolved in buffer containing 20 mM HEPES, 150 mM KCl, and 30 mM 3-(3-cholamidopropyl)diethylammonio-1 propanesulfonate, pH 7.5, at a final concentration of 10 mg/ml. Protein labeled with Alexa Fluor 555 and 647 fluorophores was mixed with lipid solution at a protein:lipid ratio of 1:200 (wt/wt), with 2% biotinylated-POPE (wt/wt of the total lipids). The lipid/protein mix was incubated at room temperature for 20 min and then passed through a Sephadex G-50 desalting column to remove detergents, thereby forming proteoliposomes. Residual detergents were removed by dialysis against 1 liter of buffer containing 20 mM HEPES and 150 mM KCl or NaCl, pH 7.5, three times, and proteoliposomes were harvested and stored at −80°C for single-molecule imaging.

Single-molecule imaging

Chamber slides were prepared following the protocol of Joo and Ha (2012a). An objective-based TIRF microscope, built on a Nikon inverted microscope (TE-2000s) with 100× APO TIRF NA1.49 objective lens and 532- and 640-nm lasers, was used for single-molecule imaging. Donor and acceptor emissions were separated by OptoSplit II (Cairn) with a 638-nm longpass beam splitter, passed through 585/65- and 700/75-nm emission filters (Chroma), and then collected by an Evolve 512 delta electron-multiplying charge-coupled device camera (Photometrics). A CRISP autofocus system (ASI) was incorporated to compensate for focus drift due to mechanical vibrations and thermal fluctuations. Liposomes containing fluorophore-labeled KirBac1.1 proteins were immobilized on the slide surface by biotin-neutravidin interactions with biotinylated-POPE in liposomes. Fluorophores were excited by a 532-nm laser, and videos were collected using NIS-element (Nikon) with frame rates of 10 frames/s (i.e., time resolution of 100 ms). Laser power was ∼9.1 W/cm2 (at the objective lens side). Recording times were 2 min, with half bleaching times typically ∼45 s. Except for the 20 mM HEPES and different concentrations of cations, all imaging buffers contained ∼3 mM 6-hydroxy-2,5,7,8-tetramethylchroman-2-carboxylic acid (Trolox), 2 mM 4-nitrobenzyl alcohol, 2 mM cyclooctatetraene, 5 mM protocatechuic acid, and 15 µg/µl protocatechuate-3,4-dioxygenase to enhance the photostability of the fluorophores (Aitken et al., 2008; Dave et al., 2009). 50 µM β-escine was used to permeabilize liposomes (Fan and Palade, 1998; Wang et al., 2019) for experiments with symmetric ionic conditions. Control liposomes reconstituted with labeled control KirBac1.1 WT protein at the same concentration were included to evaluate the fluorescent impurities, ensuring that they were <5% in comparison with sample liposomes. For every protein, at least two independent labeled samples were used; for every sample, ≥10 videos were collected.

Single-molecule imaging data analysis

For every video, individual molecules were identified, and donor and acceptor fluorescence intensity profiles were extracted by IDL scripts developed by the Ha group (Joo and Ha, 2012b; Roy et al., 2008). Leak and direct excitation corrections were not applied, as leakage was <0.06, and direct excitation was undetectable. Traces were inspected and selected manually following criteria described in previous publications (Wang et al., 2018; Wang et al., 2019; Wang et al., 2016). The bin size of all time histograms was set as 0.025 of recording time, ensuring an equal contribution from each trace to avoid dominant effects of long traces (Blanco and Walter, 2010). FRET contour plots were generated from the first 3 s of each trace. For idealizing smFRET traces using HaMMy software (McKinney et al., 2006), FRET traces in the same condition used to make the histograms were concatenated into a single file. Subsequent transition analysis was performed using TDP (McKinney et al., 2006), Microsoft Excel, and GraphPad Prism 6.

Fluorescence liposome flux assay

KirBac1.1 proteins were reconstituted into POPE/POPG liposomes with a protein:lipid ratio of 1:500, by passing through Sephadex G-50 desalting columns equilibrated with buffer (20 mM HEPES and 150 mM KCl or NaCl, pH 7.5). Immediately before flux assay, the extraliposomal buffer was replaced by buffer containing 150 mM NMDG. 9-Amino-6-chloro-2-methoxyacridine (ACMA) stock was then added to reach a final concentration of 13 µM into a 96-well plate. Baseline fluorescence (excitation wavelength 400/30 nm and emission wavelength 495/10 nm; Top50 Mirror) was measured by a Synergy 2 plate reader as previously described (Wang et al., 2019). All flux data were normalized to the maximum quenching after valinomycin or monensin addition, and the values of empty liposomes were subtracted in each condition.

Radioactive rubidium and sodium flux assays

KirBac1.1 proteins were reconstituted, and 86Rb+ and 22Na+ flux assays were performed as described previously (Wang et al., 2019).

Statistics

The FRET histogram data for each sample/condition were presented as equal contributions from all individual molecule traces (rather than each data point). The FRET contour map for each sample/condition was calculated from the first 3 s of all traces, with equal contributions from all individual traces (all selected traces were >5 s). The trace number n for each sample/condition is included in the accompanying figure legends as published previously (Wang et al., 2018; Wang et al., 2019; Wang et al., 2016). For each condition, FRET data were split into three different datasets with a similar number of traces coming from multiple different videos in each case, to assess variability. The number of videos for each of the three subsets (i, ii, and iii) are as follows: for WT from 150 mM NaCl to 150 mM KCl sequence as in Fig. 10: 150 mM NaCl, 6, 6, 9; 150 mM NaCl/0.5 mM KCl, 5, 2, 4; 150 mM NaCl/5 mM KCl, 15, 16, 14; 100 mM NaCl/50 mM KCl, 4, 11, 6; 5 mM NaCl/150 mM KCl, 2, 10, 5; 0.5 mM NaCl/150 mM KCl, 6, 3, 8; 0.05 mM NaCl/150 mM KCl, 3, 5, 8; and 150 mM KCl, 15, 5, 10; and for I131M, 13, 8, 12; 2, 4, 7; 13, 12, 16; 4, 5, 5; 3, 4, 6; 3, 6, 8; 4, 8, 10; and 6, 10, 7, respectively. The calculated rate constants and state probabilities are therefore represented as mean ± SEM of n = 3 datasets. To assess state dwell time distributions in Fig. 9, full datasets without splitting were used to fit monoexponential decay functions. Time constants are represented as mean ± 95% confidence interval of the fitting. All flux data are presented as mean ± SEM.

Code availability

The script used to convert TIF video files to PMA files for later data processing is available upon request. IDL scripts developed by the Ha group (fully described in Joo and Ha [2012b] and Roy et al. [2008]) were used for video data processing (PMA files). Subsequent analysis was performed using Microsoft Excel and GraphPad Prism 6.

Data availability

All data generated or analyzed during this study are included in this article or are available from the corresponding authors upon reasonable request.

Online supplemental material

Fig. S1 shows K-driven 86Rb+ efflux at different pH values. Fig. S2 shows the functionality of tandem dimers, after labeling. Fig. S3 shows concatenated smFRET trajectories in high-Na/low-K conditions. Fig. S4 shows concatenated smFRET trajectories in high-K/low-Na conditions. Table S1 lists the number of individual molecules and identified transitions for idealized smFRET records. Table S2 lists rate constants for the three-state model.

Previous studies have demonstrated that mutation of certain residues in the TM2, outside the SF, can significantly alter the selectivity of at least two K channels, e.g., Kir3.2 (S177W/G; Bichet et al., 2006; Bichet et al., 2004; Yi et al., 2001) and K channel of Streptomyceslividans (KcsA; M96V; Renart et al., 2012). Mechanistic explanation for these findings has been absent, but our recent results (Wang et al., 2019) raise the possibility that the steric interaction of these mutations with the SF might alter the relative stability of constrained versus dilated conformations. To examine this, we introduced mutations in KirBac1.1 at the equivalent I131 position (Fig. 1, A and B), purified recombinant tetrameric proteins, and assessed reconstituted channel activity and structural dynamics in liposomes.

Mutations in TM2 reduce K selectivity

The favored binding of K+ (or Rb+) over Na+ in the K channel SF is required for conduction of K+ at high rates and selection over other ions. As we have shown in KirBac1.1 WT, the constrained K+-selective conformation is dependent on the presence of K+ ions themselves, while dilated, dynamic, SF conformations in pure Na+ solutions are correlated with Na+ permeating states. We directly tested selective permeation of KirBac1.1 I131x mutants by examining radioactive ion uptake into KirBac1.1-containing liposomes, under driving forces generated solely by K+ or Na+ ions (Fig. 1, C and D), as previously described for KirBac1.1 or KcsA (Cheng et al., 2011; Enkvetchakul et al., 2004; Wang et al., 2019). While K+- and Na+-driven 86Rb+ fluxes are similar for WT and mutant subunits (except for the I131G mutant, which is lower; Fig. 1 E), Na+-driven 22Na+ fluxes are clearly higher in KirBac1.1 I131M than in WT, implying increased Na+ ion permeation and a relative decrease in selectivity (Fig. 1 F). Importantly, we also detected 22Na+ fluxes when the driving force was generated by K+ ions, but these were much smaller than Na+-driven fluxes (Fig. 1 F, right), suggesting that Na+ permeation through KirBac1.1 WT and I131x is actually inhibited by K+, consistent with previous findings that the ion configuration within the SF is an important determinant of selectivity in K channels (Cheng et al., 2011; Thompson et al., 2009; Valiyaveetil et al., 2006; Wang et al., 2019).

I131x mutants increase Na+ flux and generate proton permeation

To further assess ion selectivity, purified WT or mutant KirBac1.1 channels were reconstituted into liposomes in the presence of 150 mM KCl or NaCl (Fig. 2 A). Vesicles were then diluted into an (impermeant) ACMA-NMDG–containing solution (low K/Na phase), which creates a strong chemical gradient for the efflux of K+ or Na+. In the assay, K+ or Na+ efflux is then initiated by the addition of the H+ ionophore carbonyl cyanide m-chlorophenylhydrazone (CCCP), which allows influx of H+ to counter the efflux of K+ or Na+ (CCCP phase). H+ influx is monitored by H+-dependent quenching of ACMA fluorescence. Finally, a K+ or Na+ ionophore (valinomycin or monensin, respectively) is added to allow complete dissipation of the gradient (Fig. 2, A and B).

Each of the KirBac1.1 I131 mutants were expressed at levels similar to WT, and each showed similar overall K+ fluxes, but all showed significantly higher fluxes of sodium in the absence of K+ (Fig. 2 B), consistent with a loss of K+ selectivity. Surprisingly, the fluorescent assay additionally indicates that these mutations also introduce significant proton permeation (Fig. 2, B and C). As shown in Fig. 2, B and C, the fluorescent signal is stable after adding empty liposomes or liposomes containing WT channels (low-XCl phase), until CCCP is added to initiate proton flux, indicating essentially no proton permeability of the liposomes themselves, or the WT channel. However, after adding liposomes containing any of the mutant channels, in particular I131G, there is a rapid and significant decay in fluorescent signal, even before adding CCCP, indicating intrinsic proton permeability of these mutants (Fig. 2, B and C). In addition, while the I131G mutant has markedly lower 86Rb+ uptake than WT under control conditions (pH 7 inside and outside; Fig. 1 E), uptake is also much more pH sensitive than WT: increasing external pH from 7 to 9 increases 86Rb+ uptake fourfold in the mutant, but only twofold in WT (Fig. S1). This suggests that the proton gradient can help to drive 86Rb+ permeation in I131G and that the intrinsic ion permeability of this mutant is actually high, as indicated by the ACMA assays (Fig. 2 B). Proton “wires,” hydrogen-bonded chains allowing protons to tunnel through the membrane, have been identified in multiple membrane proteins, including serotonin transporters (Cao et al., 1997), in bacteriorhodopsin (Wikström, 1998; Bondar et al., 2008) or cytochrome c oxidase (Hofacker and Schulten, 1998; Namslauer et al., 2007), and after replacing S4 arginines by histidine in the Shaker potassium channel, which creates a proton permeation path through the voltage sensor domain (Starace and Bezanilla, 2004; Starace and Bezanilla, 2001; Starace et al., 1997). The proton path in these I131 mutants is unclear at this juncture.

To assess the relevance of specific structure, functional K channels were reconstituted from multiple amino acid 131 substitutions. Both sodium and proton permeability was present in hydrophilic or negatively charged, and even relatively large hydrophobic, amino acid mutants (I131G/M/S/T/E/A/N/L), but was not apparent in positively charged and aromatic substitution mutants (I131F/W/R; Fig. 2, C and D), which also exhibited lower overall fluxes. We found that both ion and proton flux through I131x mutants were abolished by replacement of the SF GYG sequence with AAA. None of the mutants showed activity in K+ or Na+ conditions (Fig. 3 A), and valinomycin-induced proton flux in the absence of CCCP is not different from that for empty liposomes (Fig. 3 B).

Finally, in contrast to all eukaryotic Kir channels, KirBac1.1 channel activity is inhibited by phosphatidylinositol phosphates, such as phosphatidylinositol 4,5-bisphosphate (PIP2; Enkvetchakul et al., 2004; Cheng et al., 2009). Both ion and proton permeation through I131x mutants are inhibited by PIP2 at different concentrations (Fig. 3 C). While not providing a definitive test, these results are consistent with a common pathway for both protons and permeant ions.

E106-D115 hydrogen bond disruption does not alter K selectivity in KirBac1.1

In some K channels, a glutamate–aspartic acid hydrogen bond or glutamate-arginine salt bridge behind the SF is involved in maintaining the SF structure. Disruption of the E71–D80 hydrogen bond in KcsA or the E138–R148 salt bridge in Kir2.1 or Kir3.1 reduces K selectivity (Cheng et al., 2011; Yang et al., 1997; Dibb et al., 2003). Specifically, the KcsA [E71A] and Kir2.1 [R138E, E148R] mutants exhibit reduced selectivity for K+ over Na+ compared with WT in the absence of K+, in which conditions WT channels become nonconductive. Although this bridge is not conserved throughout K channels, KirBac1.1 has a glutamate/aspartate residue pair (E106–D115) that could form a hydrogen bond equivalent to that in KcsA (Fig. 4, A and B). However, multiple single or double substitutions of E106 or D115 result in functional channels that maintain K selectivity and do not show proton permeation (Fig. 4 C). These data suggest that the E106–D115 residues are not involved in maintaining the K selectivity in KirBac1.1 channels.

Mutations in TM1 can restore K selectivity

Previously, introduction of a secondary mutation (Y102N) in transmembrane domain 1 (TM1) on the nonselective Kir3.2 [S177W] background (Kir3.2 [Y102N,S177W]) was shown to recover K+ selectivity (Bichet et al., 2004). It has been hypothesized that in the KirBac1.1 equivalent position F71, the aromatic side chain is oriented toward the cavity and can stabilize the open conformation (Fig. 5 A; Amani et al., 2020). Introduction of the equivalent F71N mutation on I131x mutant backgrounds had no effect on ion selectivity, with the notable exception of the F71N, I131G double mutation, which does restore significant K+/Na+ selectivity, but without abolishing the proton flux (Fig. 5 B).

I131M mutation shifts the K+ dependence of smFRET-reported SF conformation

We have developed a smFRET approach that allows real-time assessment of conformational dynamics in functional, liposome-embedded K channels (Fig. 6 A, left; Wang et al., 2019; Wang et al., 2016). With fluorophores placed at diagonal T120C sites of homotetrameric channels (Fig. 6 A), this has revealed K+ ion–dependent flexibility of the KirBac1.1 SF in functional constructs (Wang et al., 2019; Wang et al., 2016). The same construct with the additional I131M mutation retains K+ and Na+ conductance when labeled (Fig. S2). In the present study, we first confirmed that, in the absence of K+ (replaced with 150 mM Na+), WT SF signals are dynamic, with low (∼0.2) and medium (∼0.45) FRET efficiencies predominating, and then switch to a constrained predominantly high (∼0.8) FRET state in the presence of high (150 mM) K+ (Figs. 6 and 7; Wang et al., 2019). At all [K+] between 0 and 150 mM, FRET amplitude distributions show clear peaks, requiring a minimum sum of three Gaussians for adequate fitting (Figs. 6 and 7), with the same FRET amplitude peaks at ∼0.2, ∼0.45, and ∼0.8. Addition of K+ in the presence of 150 mM Na+ results in a concentration-dependent switch from being primarily dilated (low FRET) and dynamic to being constrained (high FRET), and this is essentially saturated at ∼5 mM K+ for WT KirBac1.1 (Figs. 6 B and 7 B; Wang et al., 2019).

We observe qualitatively similar behavior in I131M channels, but the [K+] dependence of the FRET distributions is markedly different between WT and I131M channels (Figs. 6 B and 7 B). Dynamic, predominantly low (∼0.2) FRET states in 150 mM Na+ are not obviously suppressed by substitution of up to 50 mM K+ (Fig. 6 B, bottom); if anything, the low FRET state occupancy is slightly increased. Conversely, addition of only 5 mM Na+ is sufficient to substantially increase low FRET signals in 150 mM K+ (Fig. 7, A and B). As shown in Fig. 8, overall FRET sensitivity to [K+] is reduced ∼100-fold in the KirBac1.1 I131M mutant relative to WT (Fig. 8 A), while sensitivity to [Na+] is increased ∼3-fold in the mutant (Fig. 8 B). This is consistent with the I131M mutation reducing the intrinsic stability of the constrained, K+-selective high FRET state, thereby requiring higher [K+] to achieve the same fractional occupancy.

[K+]-dependent conformational kinetics

With the caveat that changes in the FRET signal may arise because of changes in anisotropy, rather than separation of the fluorophores, the [K+] dependence of FRET amplitude distributions (Figs. 6 and 7) suggests a simple scenario in which the SF-loop of the two diagonally apposed subunits contributing to the FRET signal are predominantly “dilated,” i.e., the fluorophores are relatively away from the pore axis (generating the low FRET 0.2 state, L), in intermediate position (generating the intermediate FRET 0.45 state, M), or constricted toward the pore axis (generating the high FRET 0.8 state, H). We analyzed the kinetics of idealized concatenated FRET records (Fig. 9 A; full dataset in Figs. S3 and S4; see Materials and methods; Wang et al., 2019). To overcome the limitations of short recordings and attempt to estimate lifetimes, we randomly concatenated all trajectories obtained under the same condition (Blanco and Walter, 2010) into three equal records (Fig. 9 A; see Materials and methods; Wang et al., 2019). The total number of molecules (n) and the total number of identified transitions (nt) are given for each condition in Table S1). As shown in Fig. 9 B, the idealized state lifetimes are distributed approximately exponentially. Single exponential fits to these lifetimes reveal a qualitative dependence on ionic conditions, with H state lifetimes increasing, and L state lifetimes decreasing, as Na+ is replaced by K+ (Fig. 9 C). For I131M, this analysis suggests a similar relationship for both, but both appear less sensitive to [K+] (Fig. 9 C).

The full datasets were also analyzed in terms of a three-state model (Fig. 10 A), assuming free access between states (McKinney et al., 2006). As shown in Fig. 10 B, transition density plots indicate that the most frequent paths are H⇔M, M⇔L, with H⇔L being much less frequent, under all conditions. This analysis indicates the dependence of fractional state occupancy (H, M, and L state probability calculated from the idealization) on ionic conditions: H state occupancy increases, and L state occupancy decreases, as Na+ is replaced by K+ (Fig. 10 C). Again, for I131M, this analysis suggests a similar relationship for both, but again both appear less sensitive to [K+]. Not only lifetimes, but also transition paths, are obtained from such idealizations, allowing calculation of individual rate constants for each transition (full dataset in Table S2), which indicate that increase in the M>H (kMH), L>M (kLM), and L>H (kLH) transition rates are the predominant drivers of altered FRET distributions as [K+]/[Na+] increases, while the H>M (kHM), M>L (kML), and H>L (kHL) rates tend to decline as [K+]/[Na+] increases. These distributions are similar to those reported from previous WT analysis and generally consistent with an allosteric three-state kinetic model, in which transition rate constants kLM, kLH, and kMH increase, and kHM, kHL, and kML decrease, as [K+]/[Na+] increases (Wang et al., 2019). It is important to note that this analysis pushes the limits of the method but, again, for I131M, there is a trend toward reduced sensitivity of the rate constants to [K+]/[Na+], particularly for kLM, kMH, and kLH (Fig. 10 D).

Structural basis of K selectivity

All highly K+-selective members of the cation channel superfamily contain the canonical Gly-Tyr-Gly sequence that generates multiple K+ ion binding sites in the SF. Intense study, using crystallographic, electrophysiological, and biochemical approaches, has shown that this is unequivocally where K+ ions are selected over Na+ ions (Alam and Jiang, 2011; Doyle et al., 1998; Heginbotham et al., 1994; Liu and Lockless, 2013; Lockless et al., 2007; Noskov and Roux, 2006; Roux, 2005; Roux, 2017; Sauer et al., 2011). Despite this unquestioned reality, several findings are not easily accommodated in this framework. In multiple K channels, selectivity can be altered by mutations located outside the SF, including Kir2.1 (Thompson and Begenisich, 2001), Kir3.2 (Bichet et al., 2006; Bichet et al., 2004; Yi et al., 2001), and KcsA (Renart et al., 2012; Cheng et al., 2011). There are channels with similar SF structure that are nonselective, and the simplistic view that the SF is a relatively fixed structure with the appropriate dimensions to accommodate K+ ions, but not Na+ ions, has repeatedly been cautioned against (Roux et al., 2011; Roux, 2017; Nimigean and Allen, 2011; Dixit and Asthagiri, 2011; Alam and Jiang, 2011; Andersen, 2011). Our smFRET studies reveal that the SF conformation is actually conformationally dynamic and dependent on the nature of the ions present: rather than being “designed” to accommodate K+ ions, the canonical K-permeating conformation is actually generated in the presence of K+ ions, i.e., the conformation represents an “induced fit,” induced by K+ ions themselves. In KirBac1.1 WT, the apparent K1/2 for K+-dependent conversion from the dynamic, low-FRET, nonselective conformations to the constrained, high-FRET, K-selective conformation is low (<1 mM), such that under any physiological condition, the latter conformation will predominate. However, the SF is surrounded by other structural elements, and changes in these elements could change this equilibrium, and hence change apparent selectivity.

In the present study, therefore, we examined mutations in the second transmembrane helix in KirBac1.1 (Cheng et al., 2009; Kuo et al., 2003) as models in which to probe this issue. We generated several mutants at position I131 in the TM2 domain, which is equivalent to S165 in Kir2.1 and S177 in Kir3.2. While tolerant of amino acid changes, this residue is also critical for maintenance of K+ selectivity (Bichet et al., 2006; Bichet et al., 2004; Yi et al., 2001), but with no clear explanation of why. Our data show that the relative K+/Na+ selectivity is significantly reduced in mutant KirBac1.1 I131x and, in parallel, that the [K+]-sensitivity of the constrained, high-FRET state and the [K+]-dependence of conformational dynamics are reduced, while the Na-sensitivity of the low-FRET state is increased, in KirBac I131M. K+-selective permeation was partially restored to I131G mutant channels specifically, by introduction of a second (F71N) mutation on the face of TM1 in contact with TM2. This suggests that appropriate structural configuration between TM1 and TM2 contributes to achieving the K-selective SF conformation (Figs. 5 and 8), as well as channel activation (Amani et al., 2020).

Implications for other channels

In demonstrating parallel shifts of ion selectivity and of the ion dependence of SF conformation, the present results provide a simple explanation for how mutation of residues that are outside the K channel SF, and which do not contact permeant ions, can nevertheless reduce ion selectivity and increase sodium permeability. As part of the structural framework around the SF, these residues control the intrinsic stability of the constrained K-selective filter conformation relative to dynamic dilated, nonselective conformations, such that mutating these residues shifts the equilibrium toward the latter. Due to the technical complexity of appropriate model systems, we have so far been unable to test the generality of this finding, and our results are so far restricted to one position in KirBac1.1 but, if replicated in other model channels, our findings will have significant implications for understanding ion selectivity in cation channel superfamily members in general. Loss of K+ selectivity due to mutations outside the SF of multiple K channels, including KirBac1.1 [I131M], KcsA [M96V] and [E71A], or Kir3.2 [S177W] mutant channels, as well as prokaryotic K+ selective transporters lacking the TxGYG sequence, such as TrkH and KtrB, in which only the first glycine residue in each P-loop is conserved (Cao et al., 2011; Mikušević et al., 2019; Vieira-Pires et al., 2013), raise the possibility that control of K+ selectivity might involve more structural and environmental features (such as surrounding ions) than generally appreciated. Solid-state NMR studies have demonstrated conformational flexibility of the SF in the nonselective NaK channel (Lange et al., 2006; Bhate et al., 2010), and crystal structures of the HCN channel, which contains a GYG-containing SF yet is physiologically nonselective, reveal a considerably wider outer mouth of the pore than in K-selective K channel structures (Lee and MacKinnon, 2017). It is mere speculation, but perhaps even HCN channel SFs could adopt a K-selective conformation but are precluded from doing so by structural differences in SF-supporting elements that act to shift the [K+] dependence beyond the physiological range.

Crina M. Nimigean served as editor.

We thank Drs. Joshua Brettman, Shizhen Wang, Grigory Maksaev, and Sun-Joo Lee for helpful discussions and methodological assistance.

This work was funded by National Institutes of Health grant R35 HL140024 (to C.G. Nichols) and by a postdoctoral fellowship from the McDonnell Center for Cellular and Molecular Neurobiology, Washington University in St. Louis (to M. Matamoros).

The authors declare no competing financial interests.

Author contributions: M. Matamoros and C.G. Nichols conceived and designed the studies; M. Matamoros performed research and, with help from C.G. Nichols, analyzed data. M. Matamoros and C.G. Nichols prepared the manuscript.

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