The TMEM16 proteins constitute a family of membrane proteins with unusual functional breadth, including lipid scramblases and Cl channels. Members of both these branches are activated by Ca2+, acting from the intracellular side, and probably share a common architecture, which was defined in the recent structure of the lipid scramblase nhTMEM16. The structural features of subunits and the arrangement of Ca2+-binding sites in nhTMEM16 suggest that the dimeric protein harbors two locations for catalysis that are independent with respect to both activation and lipid conduction. Here, we ask whether a similar independence is observed in the Ca2+-activated Cl channel TMEM16A. For this purpose, we generated concatenated constructs containing subunits with distinct activation and permeation properties. Our biochemical investigations demonstrate the integrity of concatemers after solubilization and purification. During investigation by patch-clamp electrophysiology, the functional behavior of constructs containing either two wild-type (WT) subunits or one WT subunit paired with a second subunit with compromised activation closely resembles TMEM16A. This resemblance extends to ion selectivity, conductance, and the concentration and voltage dependence of channel activation by Ca2+. Constructs combining subunits with different potencies for Ca2+ show a biphasic activation curve that can be described as a linear combination of the properties of its constituents. The functional independence is further supported by mutation of a putative pore-lining residue that changes the conduction properties of the mutated subunit. Our results strongly suggest that TMEM16A contains two ion conduction pores that are independently activated by Ca2+ binding to sites that are embedded within the transmembrane part of each subunit.

## Introduction

Calcium-activated chloride channels (CaCCs) constitute a heterogeneous family of membrane proteins, which activate an anion-selective pore in response to the increase of the intracellular calcium concentration (Hartzell et al., 2005; Kunzelmann et al., 2009). Although these proteins have been characterized by electrophysiology for decades (Arreola et al., 1996; Qu and Hartzell, 2000), their molecular identity was unknown for a long time. CaCCs are expressed in different tissues where they contribute to epithelial chloride secretion and electrical signaling in smooth muscle and certain neurons (Huang et al., 2012; Pedemonte and Galietta, 2014). About seven years ago, three groups independently identified the protein TMEM16A (for transmembrane protein of unknown function number 16A) as the main constituent of a CaCC (Caputo et al., 2008; Schroeder et al., 2008; Yang et al., 2008). After activation by Ca2+ from the intracellular side with an EC50 in the submicromolar range, the protein mediates anion-selective currents (Yang et al., 2008). Activation by Ca2+ is voltage dependent with a decreased potency of the ligand at negative transmembrane potentials (Arreola et al., 1996; Kuruma and Hartzell, 2000; Yang et al., 2008; Xiao et al., 2011; Ni et al., 2014). TMEM16A is a member of a conserved family of membrane proteins that is only expressed in eukaryotic organisms and encompasses 10 paralogues in humans (Schroeder et al., 2008; Yang et al., 2008). Because of assumed molecular features, the name anoctamin was introduced, synonymous for the putative anion selectivity of family members and the presence of eight transmembrane helices predicted by hydropathy analysis (Yang et al., 2008). It was thus unexpected when TMEM16F, another member of the family, was identified as a calcium-activated lipid scramblase, which catalyzes the diffusion of lipids between the two leaflets of the phospholipid bilayer (Suzuki et al., 2010) and thereby leads to the dissipation of the lipid asymmetry and the exposure of the negatively charged phosphatidyl-serine to the cell exterior. The scramblase function was later also observed for other family members (Suzuki et al., 2013), and it was subsequently confirmed for fungal TMEM16 homologues in vitro, after purification and reconstitution of the proteins (Malvezzi et al., 2013; Brunner et al., 2014). Because the two identified CaCCs, TMEM16A and TMEM16B, do not promote lipid scrambling (Malvezzi et al., 2013; Brunner et al., 2014), a functional division within the family was proposed, with some members either functioning as calcium-activated ion channels or lipid scramblases. Interestingly, some members have also been suggested to possess dual properties (Yang et al., 2012; Picollo et al., 2015). Recently, the architecture of the protein family was revealed by the structure determination of the phospholipid scramblase from the fungus Nectria haematococca (termed nhTMEM16; Brunner et al., 2014). Because of the high sequence conservation, it can be assumed that this structure defines the general architecture of both functional branches of the family. The protein forms homodimers, with subunits containing 10 membrane-spanning helices (Fig. 1 A). Each subunit harbors a hydrophilic groove, the “subunit cavity,” located at the periphery of the dimer that is exposed to the lipid bilayer (Fig. 1, B and C). This membrane-spanning furrow was proposed to constitute the site for lipid scrambling by offering a hydrophilic path for lipid head groups across the hydrophobic core of the bilayer (Brunner et al., 2014, 2016). The equivalent region in TMEM16 channels is probably involved in ion permeation, as suggested by mutations that affect conduction properties of TMEM16A (Fig. 1 B; Yang et al., 2012; Yu et al., 2012). Each subunit of nhTMEM16 contains a highly conserved calcium-binding site in the vicinity of the subunit cavity, which is embedded within the transmembrane part of the protein (Fig. 1 D; Brunner et al., 2014). The location of this site in the hydrophobic part of the phospholipid bilayer offers a plausible explanation for the observed voltage dependence of calcium activation in TMEM16 channels as these divalent cations have to cross part of the transmembrane electric field to reach their binding site (Yu et al., 2012; Brunner et al., 2014; Tien et al., 2014). Mutations of residues constituting the Ca2+-binding site have been shown to affect the activation of both scramblases and channels, suggesting that both functional branches of the family may share a similar mechanism of activation (Yu et al., 2012; Malvezzi et al., 2013; Terashima et al., 2013; Brunner et al., 2014; Tien et al., 2014). Single mutations of Ca2+-binding residues in TMEM16A decrease the potency of Ca2+ to a different extent according to their contribution to Ca2+ binding and channel activation (Yu et al., 2012; Brunner et al., 2014; Tien et al., 2014). The nhTMEM16 structure thus suggests that family members acting as scramblases contain two potentially independent sites of catalysis, a feature that might also be shared by TMEM16 channels (Fig. 1 E). However, because of the distinct architecture of the subunit cavity, which forms a half-channel that is exposed to lipids on one side, a potential alternative arrangement of subunits in the ion channels TMEM16A and B was envisioned (Brunner et al., 2014). In this alternative arrangement, the two exposed half-channels might interact to form a single enclosed aqueous pore that would be completely surrounded by protein residues, akin to other known channel architectures (Fig. 1 F; Doyle et al., 1998; Miyazawa et al., 2003). In such an arrangement, the Ca2+-binding site and the residues lining the ion conduction path would be in close proximity, and it could thus be expected that any change in the pore or the Ca2+-binding site in one of the subunits may affect the activation and conduction properties of the entire protein. In contrast, in the case of two separated ion conduction paths, the same mutation may only affect activation and conduction in one of the two protopores.

We became interested in the question of whether the calcium-activated channel TMEM16A contains two separate ion conduction pores that are independently activated by calcium. In ClC proteins, this question was addressed by the kinetic analysis of single channel recordings (Miller, 1982). However, because the low single-channel conductance of TMEM16A precludes such strategy, we decided to study macroscopic currents of concatenated subunits with one of the two subunits carrying mutations that change the functional properties of the channel. We show that these concatenated proteins are stable and dimeric and that the covalent link between the two subunits does not alter the functional properties of the protein. By introducing mutations that have been shown to shift the potency of Ca2+ in nonconcatenated proteins into one subunit, we demonstrate that properties such as the concentration and voltage dependence of activation by Ca2+, as well as the ion selectivity and conductance of the individual protopores are preserved. Our data are thus consistent with functional independence of two ion conduction pores in a double-barreled channel, which resembles the behavior of ion channels of the ClC family.

## Materials and methods

### Construct generation

The a, c splice variant of mouse TMEM16A (mTMEM16A; Ferrera et al., 2009) was cloned with fragment-exchange (FX) cloning (Geertsma and Dutzler, 2011) into a modified pcDNA3.1 vector (Invitrogen), bearing a 5′ untranslated region (UTR) of hVEGF (from pcDNA4/HisMax; Invitrogen) upstream of the start codon and a 3′ C terminus encoding the Venus YFP, a Myc tag, and a Streptavidin-binding peptide (SBP) tag downstream of the open reading frame. Mutations were made using PCR-based QuikChange mutagenesis (QIAGEN). In the concatemeric constructs, the two monomers were joined by a 31–amino acid–long Gly-Ser linker with sequence GSSGGSGGSGSSGSSGSGSSGGSGGSGSSGS. The two subunits were separately amplified by PCR. The first half of the linker was introduced with the reverse primer of the first subunit and the second half with the forward primer of the second subunit. (Forward primer of the first subunit: 5′-ATATATGCTCTTCTAGTAGGGTCCCCGAGAAGTACTCGACG-3′; reverse primer of the first subunit: 5′-TTATAGCTCTTCATCCACTAGAGCCTGAACTGCCTGATCCACCACTACCTCCGCTCGAGCCCAGCGCGTCCCCATGGTACTCGTA-3′; forward primer of second subunit: 5′-TTATAGCTCTTCAGGAAGTGGTTCGAGTGGAGGTAGTGGTGGATCAGGTTCAAGTGGATCCAGGGTCCCCGAGAAGTACTCGACG-3′; and reverse primer of the second subunit: 5′-TATATAGCTCTTCATGCCAGCGCGTCCCCATGGTACTCGTA-3′.) The PCR products and the vector were cleaved with SapI (New England Biolabs, Inc.) and subsequently ligated with T4 DNA ligase (New England Biolabs, Inc.). All constructs were confirmed by sequencing.

### Protein expression and biochemistry

HEK293T cells were cultured in Dulbecco’s modified Eagle’s medium (DMEM; Sigma-Aldrich) supplemented with 10 U/ml penicillin, 0.1 mg/ml streptomycin (Sigma-Aldrich), 2 mM l-glutamine (Sigma-Aldrich), and 10% FBS (Sigma-Aldrich) in a humidified atmosphere containing 5% CO2 at 37°C. For electrophysiology, HEK293T cells were transfected with mTMEM16A constructs at 3 µg DNA per 60-mm culture dish with the calcium phosphate precipitation method (Chen and Okayama, 1987), and medium was changed 4–5 h after transfection. Transfected cells identified by YFP fluorescence were used for patch clamp experiments within 24–72 h of transfection. For biochemical characterization, cells were grown on 10-cm dishes (Corning) to 70–80% cell confluency and transfected with branched polyethylenimine (PEI; Portolano et al., 2014) at a PEI/DNA ratio of 4:1 (wt/wt) for 36–40 h at 37°C and 2.2% CO2. After expression, cells were resuspended in buffer A (20 mM HEPES, pH 7.4, 150 mM NaCl, 0.2 mM CaCl2, and 5% [wt/vol] glycerol) containing EDTA-free protease inhibitor complete cocktail (Roche). Cells were lysed with 1% (wt/vol) digitonin (A1905; BioChemica) while stirring for 2 h at 4°C. Insoluble material was pelleted by centrifugation at 40,000 g for 30 min, and the supernatant was incubated with Streptavidin Plus UltraLink Resin (Thermo Fisher Scientific) while stirring for 3 h at 4°C. The resin was washed with 30 column volumes of buffer B (buffer A with 0.12% [wt/vol] digitonin), and the bound TMEM16A was eluted with buffer B containing 4 mM biotin. The eluate was concentrated and loaded onto a Zorbax GF450 size-exclusion column (Agilent Technologies) that was equilibrated with buffer B. Fluorescence size-exclusion chromatography (FSEC) was performed with an excitation wavelength of 515 nm and an emission wavelength of 530 nm.

### Electrophysiology

All recordings were performed in the inside-out configuration (Hamill et al., 1981). Inside-out patches were pulled from HEK293T cells expressing the mTMEM16A construct of interest after the formation of a gigaohm seal. Seal resistance was typically 4–8 GΩ or higher. Recording pipettes were pulled from borosilicate glass capillaries (OD 1.5 mm, ID 0.86 mm; Harvard apparatus or Sutter) and were fire-polished using a microforge (Narishige). Pipette resistance was typically 5–8 MΩ when filled with recording solutions. Voltage-clamp recordings were performed using the Axopatch 200B amplifier controlled by the Clampex 10.6 software through Digidata 1550 (Molecular Devices). For general recordings, raw signals were analogue-filtered through the inbuilt low-pass 4-pole Bessel filter at 5 kHz and were sampled at 10 kHz or higher. For noise analysis, raw signals were low-pass analogue-filtered at 10 kHz with the inbuilt Bessel filter and were sampled at 100 kHz. Liquid junction potential was not corrected. Solution exchange was performed using a theta glass pipette mounted on a high-speed piezo switcher (Siskiyou). Step-like solution exchange was elicited by analogue voltage signals delivered through Digidata 1550. All recordings were performed in symmetrical NaCl solutions except for permeability experiments where the NaCl concentration on the intracellular side was varied (see solution composition). Concentration–response and noise analysis experiments were performed at 80 mV unless specified otherwise. Data were background-subtracted before analysis (background current was obtained by recording in the corresponding 0 Ca2+ solution). All experiments were performed at 20°C.

### Solutions

Stock Ca-EGTA solution contained 150 mM NaCl, 5.99 mM Ca(OH)2, 5 mM EGTA, and 10 mM HEPES, pH 7.40. Stock EGTA solution contained 150 mM NaCl, 5 mM EGTA, and 10 mM HEPES, pH 7.40. The pH was adjusted using 1 M NMDG-OH solution. The stock Ca-EGTA solution contained a free [Ca2+] of 1 mM. Free [Ca2+] was adjusted by mixing stock Ca-EGTA and EGTA solutions at the ratio calculated according to the WEBMAXC calculator (http://web.stanford.edu/~cpatton/webmaxcS.htm). Free [Ca2+] above 1 mM (up to 3 mM) was adjusted by adding CaCl2 from a 1 M stock solution. The pipette solution (extracellular) had the same ionic composition: 150 mM NaCl and 10 mM HEPES, pH 7.40, and a Ca/EGTA ratio corresponding to free [Ca2+] of 1 µM prepared from the same Ca-EGTA stock solutions. For permeability experiments, NaCl concentrations (with and without Ca2+) were adjusted by mixing NaCl stock solutions and (NMDG)2SO4 stock solutions at the required ratios. Stock NaCl solutions were the same as above. Stock (NMDG)2SO4 solutions contained 100 mM (NMDG)2SO4, 5.99 mM Ca(OH)2, 5 mM EGTA, 10 mM HEPES, pH 7.40, and 100 mM (NMDG)2SO4, 5 mM EGTA, and 10 mM HEPES, pH 7.40. In experiments that compare the effect of substitution with (NMDG)2SO4 or sucrose, the sucrose-based solution had 15 mM NaCl, 280 mM sucrose, and 10 mM HEPES, pH 7.40, with the corresponding Ca-EGTA ratios. In some permeability experiments, the pipette solution had 1 mM [Ca2+]free instead of 1 µM to improve patch stability. We observed no change in ion selectivity in 1 µM and 1 mM [Ca2+]free pipette solutions.

### Rundown correction

Significant rundown of the mTMEM16A current occurs in the excised patch configuration, which affects the proper determination of concentration–response relations if left uncorrected. To correct for this rundown, we used a method akin to Ni et al. (2014). A reference Ca2+ pulse, typically at submaximal [Ca2+]free (4 µM, 300 µM, or 1 mM), was applied at a regular time interval (17–20 s) before and after the test pulse as programmed in Clampex. The protocol for a typical Ca2+ jump experiment is outlined in Fig. S1 A. The magnitude of the test pulse was then normalized to the linearly interpolated, i.e., averaged, magnitude of the pre- and post-reference pulses to obtain a normalized concentration–response relation. This method also allows the construction of concentration–response relations of concatemeric constructs, which span over five orders of magnitude, by merging concentration–response relations recorded separately in the nanomolar and micromolar ranges.

### Data analysis

#### Ca2+ activation

For nonconcatemeric constructs that display monophasic activation, concentration–response data were fitted to the Hill equation:

$I=I max 1 1+10 ( ( logEC 50 −log[ Ca 2+ ] )h ) ,$

where EC50 is the concentration where the activation is 0.5 and h is the Hill slope. I is normalized to the rundown-corrected current measured at the highest or second to highest Ca2+ concentration.

For constructs that display biphasic activation and for comparing concatemeric constructs, concentration–response data were fitted to a biphasic Hill equation:

where I is normalized to the rundown-corrected current measured at the highest or second to highest Ca2+ concentration. Frac is the fractional amplitude of the corresponding activation phase.

For the WT_E702Q concatemer, concentration–response data were fitted to a triphasic Hill equation:

where A is the fractional component of the high-affinity activation and other parameters are the same as above. Fitting concentration data to this equation therefore accounts for the low-affinity activation observed for the WT subunit (Fig. 3 A) in this concatemer. During curve fitting with this triphasic Hill equation, A, log EC50(3), and h3 were constrained to the corresponding values of the low-affinity phase of the WT_WT concatemer. This leaves the same number of free parameters to be fitted as for the biphasic Hill equation.

We note that in the biphasic and triphasic Hill equations, at least three model parameters (h1, h2, Imax, and Frac) are interdependent, and thus a rational concern is that the best fit of the parameters may not be accurately estimated. This is of importance, as the second activation often exhibits shallow Hill slope, and hence the plateau of this activation is relatively less well defined than that of nonconcatemeric constructs (see for example Fig. 6 F). More importantly, the interpretation of the relative contribution of the individual subunits in a concatemer requires an accurate estimate of Frac.

To improve the quality of the fits, the activation curves obtained at 80 and −80 mV were fitted simultaneously where Frac and Imax were constrained, respectively, to a shared but freely varying value whenever possible. For the WT_E702Q concatemer, good estimates of these model parameters can be obtained without imposing specific constraints. The asymptotic 95% confidence intervals of the log EC50 of the first and second activation are generally narrow as the log EC50 values show little correlation with the other free parameters and are well defined by the data. The asymptotic 95% confidence intervals of the other fitted parameters (h1, h2, Imax, and Frac) are higher, but still smaller than 20% of the best-fit values. We have also characterized the errors in parameter estimation during curve fitting by basic Monte Carlo simulation using the root mean squared errors (RMSEs) and the best-fit parameters, assuming that the errors follow a Gaussian distribution with a mean of zero (Fig. S2; see legend for details). We found that, given the experimental errors, well-defined distributions in the expected range can be obtained for all six free parameters for both voltages (Fig. S2 A). Similar to the asymptotic 95% confidence interval, which is symmetric, the distributions of all fitted parameters are also approximately symmetric, with that of h1 being slightly skewed for both voltages. Correlations between Frac and h1, h2, and Imax are also observed (Fig. S2, B and C), but the values are expected to cluster around the peaks of the distributions. Thus, although the precise values of these parameters cannot be uniquely determined, they represent reliable estimates. For comparison, we have also included the best fit with h1 and h2 constrained to the corresponding values of the nonconcatemeric constructs, which yielded very similar best-fit values (Table 1).

For the K588E_E702Q concatemer, the fraction of the first activation is very small compared with that of the second activation, and as a result, the first activation cannot be fitted very well. For this reason, we have constrained both log EC50(1) and h1 to the best-fit values obtained for WT_E702Q to obtain an acceptable asymptotic 95% confidence interval for the remaining parameters. The constrained log EC50(1) and h1 were further adjusted manually. For the WT_K588E/E702Q concatemer, the asymptotic 95% confidence intervals of h1, h2, Imax, and Frac are somewhat wider than that of WT_E702Q when all the parameters are allowed to vary freely. However, the best-fit values, using our simulation results as a guide, also represent reliable estimates in this setting.

For presentation, the data were normalized to the estimated Imax and were fitted with Imax constrained to 1. Details of the parameters and constraints can be found in Table 1.

#### Nonstationary noise analysis

Nonstationary noise analysis was performed according to Sigworth (1980). Nonstationary noise analysis requires information on the fluctuation, characterized by its variance, of an activating and/or deactivating current that samples the mean current space available to the channel. The fluctuation is not time dependent per se but appears to be dependent on time only because PO is time dependent. This information was experimentally obtained by periodically pulsing Ca2+ on the intracellular side at saturating concentrations in concentration jump experiments so that the variance of the mean current at each time point could be estimated. For an example, see Fig. S1 B. Digitized data were filtered at 7.5 kHz with a low-pass Gaussian filter (Clampfit; Molecular Devices) and were subsequently decimated fourfold to a final sampling frequency of 25 kHz before analysis. The variance of 50–100 aligned, successive and kinetically identical currents at each time point was computed using the successive difference method proposed by Heinemann and Conti (1992), which allows the calculation of the variance in the presence of current rundown and artifacts arising from step-like solution switching. The computed variance was plotted against the mean current, and the data were fitted to

$Variance=i⟨I⟩−⟨I⟩2N+c,$

where <I> is the mean current, i is the single-channel current, N is the number of functional channels that can contribute to the observed fluctuation, and c is the background variance. The background variance that was estimated from the fit was subtracted, and the resulting data were refitted to the same equation without the background term c. With data that display a parabolic shape, it is possible to obtain a meaningful estimate of the maximum PO as N is well defined. We therefore estimated the maximum PO from the ratio of the maximal mean current to the nonzero x-intercept, which corresponds to the theoretically achievable maximal mean current if PO was 1. With data that do not reach a maximum, N cannot be estimated reliably, and thus the estimated maximum PO, which is <0.5, rather represents an upper limit. The single-channel current i can generally be estimated with higher confidence, as it is the slope at the zero x-intercept, which is usually well defined by the data.

For presentation, the pairs of variance and <I> data points were sorted, reduced, and smoothed using the substitute average method. The variance-<I> plots from individual patches were normalized to the estimated <I>max such that the ordinate becomes variance/<I>max and the abscissa becomes PO. The resulting plots from the individual patches were then merged and reduced using the substitute average method.

#### Data analysis and statistics

Data analysis was performed using Clampfit, Excel (Microsoft), and Prism 5 and/or 6 (GraphPad Software). Curve fitting and statistical analysis were performed in Prism 5 and/or 6. For comparison of two samples, statistical differences were detected using the t test and were considered significant when P < 0.05. Data are presented as mean ± SEM. Parameters obtained from curve fitting shown in Table 1 are presented as the best-fit value together with the asymptotic 95% confidence intervals, whereas those in Table 2 are presented as mean of the individual fits ± SEM.

### Online supplemental material

Fig. S1 shows measurement protocols and reversal potential measurements. Fig. S2 shows errors in parameter estimation during curve fitting to the triphasic Hill equation estimated in a Monte Carlo simulation for the WT_E702Q concatemer at 80 and −80 mV.

## Results

### Biochemical characterization of concatemeric proteins

To address the question of whether TMEM16A comprises two ion conduction pores that are independently activated by Ca2+, we have generated concatenated constructs that either contained two WT subunits (WT_WT) or a combination of WT and point mutants with altered properties (e.g., WT_E702Q). These constructs were prepared by linking the C terminus of one to the N terminus of another subunit via a 31-residue-long linker consisting of alternating Gly and Ser residues. The second subunit in the concatemer is appended by a C-terminal YFP to facilitate the detection of the protein. We have subsequently investigated whether the concatenated proteins are properly folded and assembled and whether their biochemical properties resemble TMEM16A. Both the YFP-tagged WT_E702Q concatemer and a TMEM16A-YFP fusion (WT) used for functional characterization appear to predominately localize at the plasma membrane when expressed in HEK293 cells. When purified in the detergent digitonin and loaded on a gel-filtration column, WT_E702Q elutes similarly to WT, at a volume that is compatible with a dimeric organization of the protein (Fig. 2 A). Upon subjection to SDS-PAGE analysis, the concatenated protein migrates at twice the size of a single subunit and no proteolysis is observed, indicative of a stable protein (Fig. 2 B). Collectively, these results suggest that the covalent linkage neither affected the stability of the protein nor did it change its oligomerization behavior, which could have been the case if instead of an intramolecular dimerization, the subunits in the linked concatemer would favor intermolecular interactions, thereby generating assemblies of larger size.

### Functional properties of WT

For the functional characterization of TMEM16A constructs, we expressed unlinked and concatenated proteins in HEK293 cells and investigated their properties by electrophysiology in excised patches in the inside-out configuration (Tables 1 and 2). We first studied the properties of WT in a broad range of Ca2+ concentrations. At submicromolar concentrations, the protein shows the previously described steep activation that reflects the cooperative opening of the ion conduction pore (Fig. 3, A and B; Arreola et al., 1996; Kuruma and Hartzell, 2000; Yang et al., 2008). In this concentration range, the activation by Ca2+ is voltage dependent, with a decreased potency of the ligand at negative potentials (Fig. 3 B). Between 2 and 100 µM Ca2+, the current levels remain constant until, at higher concentrations, a second smaller activation step is observed (Fig. 3, A and B). This biphasic activation is only evident upon a careful correction of the irreversible rundown that becomes more severe at higher Ca2+ concentration, and it might thus have escaped previous detection. The second component is shallow, it increases the currents measured in the first plateau by ∼25%, and it saturates with an apparent EC50 of 417 µM (Fig. 3 B and Table 1). Unlike the first activation, the second activation step is not voltage dependent (Fig. 3 B). We were interested in whether the activation at high Ca2+ concentrations changes the permeation properties of the channel, as it has been suggested previously (Kuruma and Hartzell, 2000; Schroeder et al., 2008; Peters et al., 2015), or whether it reflects an increase in the open probability with similar ion conduction characteristics. We thus studied the ion selectivity of the channel by quantifying reversal potentials (Erev) in asymmetric conditions and its conductance (γ) and open probability (PO) by nonstationary noise analysis at low and high Ca2+ concentrations. The currents measured from channels activated at low (1–2 µM) Ca2+ in a 10-fold NaCl gradient (cout 150 mM, cin 15 mM) with an osmotic compensation of the low salt intracellular solution by sucrose reverse at about −45 mV (Fig. S1 C). This value is consistent with a previous study and was attributed to an imperfect selectivity for anions over cations (Qu and Hartzell, 2000). However, when replacing sucrose by NMDG sulfate to minimize junction potential changes (see companion paper by Jeng et al. in this issue) in the same 10-fold NaCl gradient, Erev approaches the Nernst potential of Cl (i.e., −58 mV), which indicates that the anion selectivity of the channel might be stronger than anticipated (Fig. 3 C). This was also previously suggested based on data obtained from purified and reconstituted TMEM16A (Terashima et al., 2013). We repeated the selectivity experiments at 1 mM Ca2+ and measured a very similar Erev, thus suggesting that the anion over cation selectivity of the channel did not change in conditions where we observed the second activation step (Fig. 3 C). To further characterize the functional properties of the channel, we performed nonstationary noise analysis after the rapid exposure to 2 µM and 1 mM Ca2+ (Fig. 3 D and Fig. S1 B). Fitting the variance of the current as a function of the mean current amplitude to the noise parabola equation allows an estimation of γ and PO of the channel (see Materials and methods). At both Ca2+ concentrations, we have observed a parabolic relationship that allowed for a reliable fit of both parameters (Fig. 3 D and Table 2). Interestingly, the estimate of γ of ∼2.7 pS is very similar at both Ca2+ concentrations, whereas PO of the channel is ∼20% higher when measured at 1 mM than at 2 µM Ca2+ (Fig. 3 D). This increase in PO is consistent with the increment observed for macroscopic currents (Fig. 3 B). The fitted values are in general agreement with a previous analysis of TMEM16A (Ta et al., 2016). Our data thus suggest that the increase in current in WT at high Ca2+ concentrations might result from an increase in PO without strongly affecting the permeation properties of the pore.

### Functional properties of WT_WT

We next investigated whether the concatenated WT_WT protein has retained a similar functional behavior as WT. We thus repeated the same experiments used to characterize the functional properties of WT for this concatenated construct. The dose–response relationships show a very similar biphasic activation as observed for WT, with a cooperative voltage-dependent opening at low Ca2+ concentrations and a shallow voltage-independent second component at high Ca2+ concentrations (Fig. 4, A and B; and Table 1). As for WT, the WT_WT currents are highly Cl selective at low and high Ca2+ concentrations (Fig. 4 C), and both γ and PO estimated by noise analysis at 2 µM Ca2+ closely resemble the values measured for WT (Fig. 4 D and Table 2). Collectively, our data strongly suggest that the covalent linkage of the two subunits in the dimeric protein did not significantly affect the ion permeation and gating characteristics of the protein.

### A concatemer containing a subunit with compromised activation properties

Because the concatenation of two subunits did not strongly affect protein function, we were interested whether the functional phenotype of WT would be preserved in the context of a covalently linked heterodimer, where one of the two subunits contains a mutation that impedes Ca2+ activation. This would only be expected in the case of two functionally independent pores in the dimeric protein. For this purpose, we generated a concatenated protein consisting of a WT subunit followed by a second subunit containing the mutation E654Q (WT_E654Q) in the Ca2+-binding site, for which we and others have previously not observed significant activity at Ca2+ concentrations up to 1 mM (Brunner et al., 2014; Tien et al., 2014). The Ca2+ dose–response relationships show a very similar biphasic activation that was also observed for WT and WT_WT, with a predominant activation at low and a second shallow step at high Ca2+ concentrations (Fig. 5, A and B; and Table 1). Because the second component is voltage independent with properties that resemble WT and WT_WT, we assume that any contribution of the subunit containing the E654Q mutant is small. At low Ca2+ concentrations, activation proceeds with an EC50 that is very close to WT (Fig. 5 B and Table 1). Similarly, the voltage dependence of this Ca2+ activation is preserved in this construct (Fig. 5 B). The steep dependence on Ca2+ with a Hill coefficient consistently above one indicates that the cooperativity of opening is an intrinsic property of a single subunit (Table 1). Like in WT, the currents are highly anion selective at both low and high Ca2+ concentrations (Fig. 5 C). Finally, as suggested by our noise analysis, the channel shows very similar properties as WT with an increase in PO at high Ca2+ concentrations (Fig. 5 D). The results from WT_E645Q, which only contains one functional subunit, are thus consistent with a dimeric protein comprising two ion conduction pores that are independently activated by Ca2+.

### A concatemer containing a subunit with decreased potency for Ca2+

In the next step, we wanted to characterize the functional behavior of a concatenated protein containing two functional subunits that are activated at different Ca2+ concentrations. We thus combined WT with the mutant E702Q (WT_E702Q), which also removes a negatively charged residue from the Ca2+-binding site. The same construct was used for the biochemical characterization of the concatemeric protein (Fig. 2). E702Q itself mediates robust currents (Fig. 6 A) but has an EC50 that is 122-times higher (i.e., from 0.32 µM in WT to 39 µM in E702Q when measured at 80 mV; Yu et al., 2012; Brunner et al., 2014; Tien et al., 2014) and somewhat reduced cooperativity compared with WT (Fig. 6 B and Table 1). As for WT, Ca2+ activation is voltage dependent with a decreased potency at negative potentials (Fig. 6 B). Unlike WT, we did not, in this case, observe a biphasic activation, but we cannot exclude that the second component might either be hidden in the main activation step or shifted to very high Ca2+ concentrations. Similar to WT, the currents (activated at 1 mM Ca2+) reverse close to the Nernst potential of Cl, indicative for a highly anion-selective channel (Fig. 6 C). Because noise analysis of this (nonconcatemeric) mutant suggested a similar γ and PO as WT (Fig. 6 D), we expected to observe a biphasic activation of the WT_E702Q concatemer with two similar current levels. This behavior should be easily distinguishable from the biphasic activation of WT because, compared with the second component of WT, the activation of the E702Q subunit proceeds at an 11-times-lower Ca2+ concentration, contributes about equally to the total currents, and is voltage dependent. Conversely, we anticipate the high Ca2+ component of WT to be hidden in the dominant activation of the E702Q subunit. The predicted behavior, with separate transitions at low and high Ca2+ concentrations, can readily be observed in the dose–response relationships of this construct (Fig. 6, E and F). As expected, both activation steps are voltage dependent (Fig. 6 G). To account for the biphasic activation of the WT subunit, a sum of three Hill equations was used to fit the WT_E702Q dose–response data (see Materials and methods). We obtained EC50 values that are very close to the values of the respective nonconcatenated homomeric proteins (Fig. 6 E and Table 1), either with only four free parameters where h1 and h2 were both constrained or six free parameters where h1 and h2 were allowed to vary. Consistent with our expectation, we observed in both fits that both transitions contribute about equally to the total currents with a Frac value of ∼0.5 (Fig. 6 E and Table 1). Moreover, when allowed to be further optimized, the values of both h1 and h2 remain very similar to their respective nonconcatenated counterparts. In the latter case where six free parameters were to be fitted, we have investigated the interdependence of the parameters by simulations to ensure the reliability of the fit (Fig. S2 and Materials and methods). In addition, we have characterized the ion conduction properties of the first activation step by noise analysis and observed very similar behavior as in the two previously investigated concatemers (Fig. 6 H). Our experiments on WT_E702Q thus provide strong additional evidence for a predominantly independent activation of two separate ion conduction pores in the dimeric mTMEM16A channel. Although we cannot exclude the presence of weak coupling between the two subunits, our data are not detailed enough to permit such analysis.

### Effect of a putative pore mutation

Finally, to further support the functional independence of two separate ion conduction pores contained in the dimeric protein, we were interested in changing the ion permeation properties of one subunit by introducing a mutation outside the calcium-binding site. We thus turned our attention toward Lys588, which, upon mutation to Gln, was previously suggested to lower the anion selectivity of mTMEM16A (Yang et al., 2012). In an attempt to enhance the effect of the mutation, we replaced the positively charged lysine with a negatively charged glutamate. Patch-clamp experiments of the single mutant K588E showed very low currents evoked in response to Ca2+ at concentrations that fully activate WT (Fig. 7 A). Nonstationary noise analysis indicates that the mutant has likely reduced γ and PO, but, because the experimental variance–mean current relation has not reached a maximum, these values are, in this case, only a crude estimate (Fig. 7 A). Because of the low magnitude of the calcium-activated currents, we were not able to reliably characterize the ion selectivity of this mutant. In contrast to K588E, the double mutant K588E/E702Q showed robust currents at high Ca2+ concentrations, although with a pronounced outward rectification, which probably reflects a change in pore conductance as rectification is instantaneous and the current showed no time dependence in response to voltage jumps (Fig. 7 B). With respect to potency and voltage dependence, the Ca2+ dose–response relationships of this double mutant resemble E702Q (Fig. 7 C and Table 1). The characterization of outward currents by nonstationary noise analysis indicates similar properties as WT and E702Q (Fig. 7 D). The current of this double mutant also reverses close to the Nernst potential of Cl, indicating that the mutation did not affect the high anion selectivity observed in all investigated constructs (Fig. 7 E). The strong outward rectification but unchanged anion selectivity suggests that the residue may influence the access of anions from the intracellular side presumably by a electrostatic mechanism, akin to a Lys residue identified in the chloride channel CLC-0 (Chen and Chen, 2003). We have subsequently prepared two chimeric constructs, one where we have introduced the mutation K588E in the WT subunit (K588E_E702Q) and another where we have introduced the mutation in the E702Q subunit (WT_K588E/E702Q). When studying the activation properties of the two concatemers (Fig. 7, F and G), both constructs show a phenotype that is consistent with the behavior of the involved subunits. In K588E_E702Q, the magnitude of the first activation at low Ca2+ concentration is small (accounting for 1.5% of the maximum response), consistent with the low currents observed in K588E, whereas the second, much larger activation step proceeds with a similar EC50 and Hill slope as expected for E702Q (Fig. 7 G and Table 1). In the mutant WT_K588E/E702Q, activation of both subunits proceeds with the expected Ca2+ dependence, but the second activation step in this case accounts for ∼60% of the maximum currents compared with the ∼70% in WT_E702Q when fitted to a biphasic Hill equation (Fig. 7 H and Table 1). This fraction decreases further when taking the biphasic activation of WT into account. In each of the two constructs, both activation steps have retained their voltage dependence, but because of the strong outward rectification of the currents mediated by the subunit containing the K588E mutation, the relative contribution of the K588E-containing subunit to the total current decreases at negative voltages (Fig. 7, I and J; and Table 1). This causes the first component to disappear in K588E_E702Q (Fig. 7 I) and to increase in WT_K588E/E702Q (Fig. 7 J). Our data thus demonstrate that, besides the activation by Ca2+, the functional independence also extends to the conduction properties of the two ion permeation pores.

## Discussion

In our study, we have investigated the question of whether TMEM16A contains two separate ion conduction pores that are independently activated by Ca2+. This question was motivated by the structure of nhTMEM16, a family member that works as lipid scramblase and contains two putative sites of catalysis on the opposite ends of a dimeric protein (Fig. 1; Brunner et al., 2014, 2016). We have initially studied the properties of WT in a broad range of Ca2+ concentrations and found a biphasic opening with a larger component at submicromolar and a second, smaller component, at low millimolar concentrations. The first activation step was described previously (Arreola et al., 1996; Kuruma and Hartzell, 2000). It is cooperative, voltage dependent, and likely accounts for the binding of Ca2+ to a site buried within the membrane domain that was identified in the structure of nhTMEM16 (Fig. 8; Brunner et al., 2014). The second activation lacks any voltage dependence and might thus reflect the interaction of Ca2+ with an unknown low-affinity site located at the cytoplasmic part of the channel. Because of its low apparent affinity, it is unlikely that the second activation plays a functional role in the physiological context, but it is important for the investigation of heterodimers with different activation properties described in this study. Our results suggest that exposure to 1 mM Ca2+ did not change the high anion over cation selectivity of the channel, nor its conductance, but that it results from an increase in the open probability (Fig. 3, C and D). This argues against a proposed transition into a different conducting conformation at high Ca2+ concentrations (Kuruma and Hartzell, 2000; Schroeder et al., 2008).

The investigation of a concatenated channel containing two WT subunits showed very similar properties, underlining that the covalent linkage did not strongly affect channel function (Fig. 4). By investigating the properties of concatenated dimers containing subunits with distinct activation and ion conduction properties, we could demonstrate that both subunits act independently with respect to their ion permeation and gating characteristics. We show that Ca2+ activates the WT subunit in a concatemer containing a second subunit with strongly impaired activation in a biphasic manner with similar potency and cooperativity as WT (Fig. 5). This implies that the biphasic opening is a property of the single subunit, and it suggests that the mutated subunit does not appreciably contribute to the currents induced at high Ca2+ concentrations. The cooperativity of the first transition underlines that the binding of the ligand to sites located within each subunit accounts for pore opening and that this process involves more than a single ion (Fig. 8). Our findings are thus consistent with the structure of nhTMEM16 where each binding site coordinates two Ca2+ ions (Brunner et al., 2014). The unchanged voltage dependence of Ca2+ activation in this construct supports the hypothesis that this phenomenon originates from the localization of the binding site within the transmembrane electric field (Brunner et al., 2014). Finally, the unaltered anion selectivity and conductance of the construct containing only a single activatable subunit provides additional evidence for the spatial separation of both pores. Functional independence is also supported by experiments on constructs where two subunits show different potency of activation and where each activation step retains the signature of the nonconcatenated counterparts. This is the case for a concatenated channel containing a mutation in the Ca2+-binding site of one subunit that results in a more than 100-fold decrease in potency, and it extends to similar constructs containing an additional mutation that affects the ion conduction properties of the channel. Our data thus strongly suggest that, similar to the ClC family (Ludewig et al., 1996; Middleton et al., 1996; Dutzler et al., 2002, 2003), the dimeric TMEM16A channel contains two separate ion conduction pores. Similar to the fast gating of the channel CLC-0, the activation of a single pore is to a large degree independent, although we cannot exclude weak cross-talk between subunits, which might have escaped our detection.

The functional independence of both pores underlines the assumption that the nhTMEM16 structure displays the general architecture for both functional branches of the family (Fig. 1). In this respect, questions addressing the molecular features that distinguish scramblases from channels become even more important. Recently, it was shown that lipid scrambling could be conferred to TMEM16A by replacing a short stretch of amino acids of the protein lining the intracellular entrance of the subunit cavity by its equivalent sequence of the scramblase TMEM16F (Yu et al., 2015). This implies that the CaCCs of the TMEM16 family might have evolved from ancestral scramblases and that, different from other ion channel families, part of the ion conduction pore of TMEM16A may be lined by lipids (Whitlock and Hartzell, 2016). It is thus remarkable that such an unconventional ion channel has gained a central role in many physiologically relevant processes, which are otherwise mediated by proteins that have evolved for conducting ions from the outset of their functional emergence.

## Acknowledgments

We thank Janine D. Brunner and S. Schenck for advice in the generation of the concatemeric construct and protein expression and all members of the Dutzler laboratory for help in all stages of the project.

The research was supported by a grant from the European Research Council (no. 339116, AnoBest).

The authors declare no competing financial interests.

Author contributions: N.K. Lim initiated the project, constructed the chimeric constructs, and performed biochemistry experiments. N.K. Lim and A.K.M. Lam jointly recorded the data. A.K.M. Lam performed noise analysis. N.K. Lim, A.K.M. Lam, and R. Dutzler analyzed the data and wrote the manuscript.

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Abbreviation used:

• CaCC

calcium-activated chloride channel

## Author notes

*

N.K. Lim and A.K.M. Lam contributed equally to this paper.