Olfactory receptor neurons respond to odor stimulation with a receptor potential that results from the successive activation of cyclic AMP (cAMP)-gated, Ca2+-permeable channels and Ca2+-activated chloride channels. The cAMP-gated channels open at micromolar concentrations of their ligand and are subject to a Ca2+-dependent feedback inhibition by calmodulin. Attempts to understand the operation of these channels have been hampered by the fact that the channel protein is composed of three different subunits, CNGA2, CNGA4, and CNGB1b. Here, we explore the individual role that each subunit plays in the gating process. Using site-directed mutagenesis and patch clamp analysis, we identify three functional modules that govern channel operation: a module that opens the channel, a module that stabilizes the open state at low cAMP concentrations, and a module that mediates rapid Ca2+-dependent feedback inhibition. Each subunit could be assigned to one of these functions that, together, define the gating logic of the olfactory transduction channel.

## INTRODUCTION

Recent studies of olfactory information processing in rodents have revealed that the detection and discrimination of odorants is a very fast process, completed within a few hundred milliseconds after contact with the odor (Abraham et al., 2004; Rinberg et al., 2006; Wesson et al., 2008a,b, 2009; Carey et al., 2009). This exciting finding has focused the attention on rapid transduction processes in olfactory receptor neurons (ORNs), in particular on the fast regulation of the olfactory cAMP-gated transduction channels. Olfactory transduction takes place in the sensory cilia of ORNs, which expose odorant receptor proteins to the inhaled air (for review see Kleene, 2008). When odors bind to these receptors, they trigger a transduction cascade that begins with the activation of adenylyl cyclase III and the synthesis of cAMP. The transduction channels in the ciliary membrane belong to the family of mammalian CNG cation channels that comprises seven proteins (CNGA1–A4, CNGB1a, CNGB1b, and CNGB3) (Craven and Zagotta, 2006; Biel and Michalakis, 2009). In photoreceptors and in ORNs, these proteins coassemble in various combinations to form heterotetrameric transduction channels, in particular A1-A1-A1-B1a in rod photoreceptors (Weitz et al., 2002; Zheng et al., 2002; Zhong et al., 2002), A3-A3-B3-B3 in cone photoreceptors (Peng et al., 2004), and A2-A2-A4-B1b in ORNs (Zheng and Zagotta, 2004). The basic functional properties of CNG channels are quite well understood (Biel and Michalakis, 2009). However, olfactory-specific channel properties, which result from the unique subunit combination of the channel in ORN cilia, are much less clear. For instance, although all subunit combinations are highly sensitive to cGMP, only the combination expressed in ORNs shows high cAMP sensitivity as well. This enables the olfactory A2-A2-A4-B1b channel to respond to micromolar concentrations of cAMP. In contrast, the photoreceptor channels are gated by cGMP, and cAMP is only a partial agonist for these channels (Altenhofen et al., 1991; Varnum et al., 1995).

A recent kinetic study has yielded a gating model that explains how olfactory CNG channels are opened by cAMP (Biskup et al., 2007). This model (the C4L model) was based on simultaneous measurements of ligand binding and the resulting gating activity, and it provides a suitable blueprint for the exploration of the channel machinery. The C4L model indicates that the four channel subunits are liganded sequentially. The second binding step basically opens the channel, and the two further liganding steps stabilize the open state. This novel gating concept describes the observed activation kinetics satisfactorily. However, it leaves open the question of which of the four subunits are responsible for channel opening, and which subunits stabilize the open channel. Here, we provide answers to these questions using a mutagenesis approach in heterologously expressed rat A2-A2-A4-B1b channels.

The cAMP sensitivity of its transduction channels plays a pivotal role in ORN function. One reason is that odor-induced cAMP synthesis works with low efficiency and cAMP reaches only low micromolar concentrations during the first few hundred milliseconds of odor stimulation (Bhandawat et al., 2005; Takeuchi and Kurahashi, 2005), the time period that is critical for odor detection and discrimination (Wesson et al., 2008a; Carey et al., 2009). This is, however, sufficient for A2-A2-A4-B1b channels, which require only ∼5 µM cAMP for half-maximal activation and thus ensure chemo-electrical transduction even upon weak stimulation. Another important aspect results from the fact that the channels are highly Ca2+ permeable. During odor stimulation, Ca2+ enters the cilia and triggers a negative feedback mechanism that decreases the channels' cAMP sensitivity (Chen and Yau, 1994; Kurahashi and Menini, 1997). This desensitization is completed within <1 s (Bradley et al., 2004), and it curtails the receptor current and determines the response dynamics of the ORN (Song et al., 2008). Thus, the sensitivity of A2-A2-A4-B1b channels to cAMP is a tunable key parameter for the odor response in ORNs. Here, we examine the role that each subunit type plays in cAMP-dependent activation of A2-A2-A4-B1b channels by selectively disabling the cAMP-binding site of each subunit. This mutagenesis approach aims to clarify which of the subunits binds cAMP and how cAMP binding contributes to channel gating.

Mechanistic explanations of the rapid, Ca2+-dependent channel desensitization are still unsatisfactory. The Ca2+ effect is thought to be mediated by calmodulin, for which each of the three subunits has at least one binding site. A study of A2-A2-A4-B1b channels in excised patches from which endogenous calmodulin was removed (“washed channels”) revealed that calmodulin requires two distinct interaction sites with the channels to induce rapid desensitization (Bradley et al., 2004). These were identified as LQ-type calmodulin-binding sites on CNGA4 and CNGB1b. Calmodulin is permanently associated with the channel, even at low Ca2+ concentrations in the resting cell ([Ca2+]i ≤ 0.1 µM), without affecting cAMP sensitivity. Upon stimulation of the ORN, a rise of [Ca2+]i to ≥1 µM induces desensitization and, hence, inhibits channel activity. Although these results demonstrated that calmodulin is pre-associated with the A2-A2-A4-B1b channel as a Ca2+ sensor, they did not reveal the individual functions of each of the two LQ sites. A recent mutagenesis study identified CNGB1b as the regulatory target for desensitization (Song et al., 2008). We find that the CNGB1b calmodulin-binding site is necessary and sufficient for rapid desensitization if endogenous calmodulin is left attached to the channel. A biochemical examination of this site revealed that it is able to interact both with the C terminus and with the N terminus of calmodulin. Its ability to bind to either lobe of calmodulin is critical for desensitization. Contrary to expectations, the CNGA4 subunit appears not to be involved in this process. Our results thus assign specific functions to each of the three subunit types that coassemble in the native olfactory transduction channel, and we identify their specific contributions to activation and desensitization of the channel.

## MATERIALS AND METHODS

### Site-directed mutagenesis and transient expression of CNG channel subunits

Expression of cloned cDNAs encoding the CNGA2, CNGA4, and CNGB1b subunits in HEK 293 cells was either done with Ca2+ phosphate–mediated transfection and performed as described previously (Bönigk et al., 1999), or with TransFectin (Bio-Rad Laboratories) and Nucleofector I (Lonza) according to the manufacturers' instructions. Expression vectors were created by subcloning the coding region, including the 5′ untranslated region (Qu et al., 2006) from pCIS (CNGA2 and CNGA4; provided by J. Bradley, Université Paris Descartes, Paris, France) and pcDNAIamp (CNGB1b; provided by W. Bönigk, Institut für Strukturbiologie und Biophysik, Jülich, Germany) into pcDNA3.1 (Invitrogen). Site-directed mutagenesis was performed using the Quick Change II XL Site-Directed Mutagenesis kit (Agilent Technologies) according to the manufacturer's instructions, and all constructs were sequenced before functional assays. The following amino acids were targeted for mutagenesis: R538E (CNGA2), R430E (CNGA4), R657E (CNGB1b), L292E (CNGA4), and L183E (CNGB1b). As a reporter for transfection efficiency and CNG subunit expression (wild type and mutants), recombinant fusion genes carrying C-terminal fluorescent protein tags were generated. CNGA2 was subcloned in pEYFP-N1 (Takara Bio Inc.). To ensure similar expression levels of CNGA2YFP in our experiments, we measured the yellow fluorescent protein (YFP) fluorescence of each cell using standardized imaging settings and divided the cells into four classes according to their fluorescence intensity (Fig. S3). For our experiments, we used only class 4 cells, which had the highest expression level. To increase the gain of A2-A2-A4-B1b coassembly in the desensitization experiments, we constructed a dual expression plasmid that encoded both CNGA4 and CNGB1b. Moreover, CNGA4 was tagged with red fluorescent protein (RFP), and CNGB1b was tagged with cyan fluorescent protein (CFP) in this vector. For this purpose, mRFP1-Q66T (provided by T. Kuner, University of Heidelberg, Heidelberg, Germany) was inserted into CNGA4/pcDNA3.1. ECFP (from pECFP-C1; Takara Bio Inc.) was inserted into CNGB1b/pcDNA3.1. Simultaneous transient expression of CNGA4 and CNGB1b subunits was enhanced by subcloning CNGA4/RFP and CNGB1b/CFP coding fragments into the pBudCE4.1 (Invitrogen) transfection plasmid. Cotransfection of this construct with CNGA2 allowed us to specifically select those cells that expressed all three subunits for patch clamp recording. Because CNGA4 and CNGB1b do not form functional channels by themselves, each transfected cell that did show cAMP-dependent current, as well as cyan and red fluorescence, was identified to express all three subunits.

### Electrophysiology

For inside-out patches, the pipette solution contained (in mM) 140 NaCl, 3 KCl, 10 EGTA, and 10 HEPES, pH 7.4, NaOH. The bath solution was the pipette solution without EGTA, plus 2.5 mM CaCl2 and 1 mM MgCl2. Test solutions were the pipette solution with 10 mM HEDTA instead of EGTA and 8.5 mM CaCl2 to obtain a free Ca2+ concentration [Ca2+] of 20 µM. [Ca2+] was calculated using WINMAXC v2.50 (Patton et al., 2004) and verified using a Ca2+-sensitive electrode (KwiKCal; WPI). The electrode was calibrated with the CalBuf-1 set of Ca2+ buffers (WPI) before each measurement. To construct dose–response curves, cAMP-dependent currents were recorded at −50 mV and fitted by a Hill equation,

$I/Imax=cn/[cn+K1/2n],$
(1)

where c is the cAMP concentration and n is the Hill coefficient. Dose–response curves were fitted separately for each patch. For the figures, curves were constructed from the mean values of K1/2 and n obtained from these fits, and are presented together with the mean I/Imax values (±SD) for each cAMP concentration. The maximal current amplitudes are the mean values at −50 mV (± SD). To induce desensitization by experimentally applied calmodulin, the inside-out patch was washed for 10 min in 10 mM EGTA. The channels were activated to an initial open probability of 0.7–0.9 by 10 µM cAMP (A2-A2-A4-B1b), 30 µM cAMP (A2-A2-A2-A4), or 100 µM cAMP (A2-A2-A2-B1b). To induce desensitization, 0.5 µM calmodulin and 150 µM Ca2+ were co-applied using a rapid perfusion system, according to published protocols (50–300 µM Ca2+) (Bradley et al., 2001, 2004). For experiments with endogenous calmodulin, the inside-out patches were excised into the bath solution containing 2.5 mM Ca2+ to prevent calmodulin from dissociating from the CNG channels. After a brief exposure to Ca2+-free solution, the channels were perfused with 20 µM Ca2+ and activated to an initial open probability of 0.7–0.9 by 15 µM cAMP (A2-A2-A4-B1b), 30 µM cAMP (A2-A2-A2-A4), or 40 µM cAMP (A2-A2-A2-B1b). Relative currents, Irel, were normalized to the maximal current amplitude at the respective cAMP concentration. To compare the time courses of calmodulin action, the current was normalized (Inorm) to the amplitude of maximal current suppression by calmodulin, ΔICaM. Accordingly, Inorm(t) = ICaM(t)ICaM, where ICaM(t) is the calmodulin-sensitive part of the current. All plots of Inorm(t) run from unity to zero. Unity marks the mean cAMP-induced current before the addition of exogenous Ca2+ calmodulin (or the addition of Ca2+ to endogenous calmodulin); zero represents the residual steady-state cAMP-dependent current after desensitization had fully developed. For experimentally applied calmodulin, the time course of current decline was best described by the sum of two exponentials:

$Inorm(t)=afe−tτfast+(1−af)e−tτslow.$
(2)

τfast and τslow describe the fast and the slow components of current decline, and af represents the relative contribution of the fast component. For experiments with endogenous calmodulin, the time course of current decline was best described by a single exponential,

$Inorm(t)=e−tτ.$

For the kinetic analysis, we compared τfast for exogenous calmodulin with τ for endogenous calmodulin.

### Synthesis and 6-bromoacetyl-2-dimethylaminonaphthalene (BADAN) labeling of peptides

Peptide synthesis and labeling were performed at Peptide Specialty Laboratories GmbH. The peptides represent the LQ-type calmodulin-binding site of the CNGB1b subunit (Bradley et al., 2004), corresponding to amino acid residues 177–202 (GenBank accession no. AF068572) and carrying a C-terminal cysteine residue for labeling. Wild-type and L183E substitution (Bradley et al., 2004) were synthesized using Fmoc chemistry solid-phase peptide synthesis. Peptides were deprotected and cleaved from the resin with 25% piperidine in DMF, 95% TFA, 4% triethylsilane, and 1% water, respectively. Purification was performed by reverse-phase HPLC on a C-18 column (Gemini; Phenomenex) with an acetonitrile/TFA gradient. Site-directed fluorescence labeling with BADAN (Owenius et al., 1999) was performed in the dark overnight at 4°C using a 10-fold molar excess of label over peptide. Reaction buffer was 1 ml of 20 mM Tris, pH 7.4, supplemented with 200 µl BADAN in DMF. The product was purified by reverse-phase HPLC (see above), to remove unlabeled peptide, and lyophilized. Its homogeneity was confirmed by MALDI mass spectroscopy.

### Preparation of calmodulin

Calmodulin wild-type protein was purchased from EMD. Plasmid vectors for expression of calmodulin mutants (Peterson et al., 1999) were provided by D.T. Yue (John Hopkins University School of Medicine, Baltimore, MD). In these constructs (CaM12, CaM34, and CaM1234) EF-hand calcium-binding sites were disabled by D→A exchange (Keen et al., 1999). Expression vectors were created by subcloning the NdeI/BamHI fragments into pET-28a(+) (EMD). This resulted in N-terminally His6-tagged fusion proteins. After expression in Escherichia coli BL21 (DE3) pLysS and purification on a His Trap FF column (GE Healthcare), His6–calmodulin constructs were subjected to SDS-PAGE to assure homogeneity, or dialyzed against distilled water and lyophilized. To assure a native conformation of the proteins after dissolving in buffer A (see below), circular dichroism measurements were performed.

### Fluorescence measurements

Steady-state fluorescence with BADAN was measured (Owenius et al., 1999; Kipp et al., 2002) with a spectrofluorometer (LS50; PerkinElmer) in quartz cuvettes (Hellma) containing a total volume of 100 µl. Fluorescence emission spectra were recorded at 400–600 nm after excitation at 387 nm (bandwidth for excitation and emission, 5–10 nm; scan speed, 200 nm/min). Stock solutions of labeled peptide (0.15 mM) and calmodulin (0.3 mM) were made in buffer A (20 mM Tris, 100 mM NaCl, and 10 mM EGTA, pH 7.2). Peptide concentrations were determined spectrophotometrically based on the molar absorptivity of the BADAN group at 386 nm: ε386 nm = 20,100 M−1 cm−1. Calmodulin concentrations were determined by Bradford assay. The final concentration of all samples was held at 1.5 µM for labeled peptides (CNGB1b and CNGB1bL183E) and 3.0 µM for calmodulin (CaM, CaM12, CaM34, and CaM1234). Spectra were recorded in the presence or absence of calmodulin in various free Ca2+ concentrations, which were generated by different ratios of buffer A and buffer B (buffer A supplemented with 10 mM Ca2+) (Williams and Fay, 1990). The free Ca2+ concentration was calculated using the WINMAXC v2.50 free metal calculation program (Patton et al., 2004).

### Online supplemental material

The supplemental material contains detailed information on the selection of A2-A2-A4-B1b channels in patch clamp experiments (Figs. S1 and S2), the classification of expression levels in HEK 293 cells (Fig. S3), the protocols for exploring the effects of exogenous and endogenous calmodulin (Fig. S4), and the fluorescence readout of labeled binding-site peptides (Fig. S5). Figs. S1–S5 are available at http://www.jgp.org/cgi/content/full/jgp.200910296/DC1.

## RESULTS

We expressed CNGA2, CNGA4, and CNGB1b in HEK 293 cells and determined the cAMP sensitivity of the resulting channels in excised patches. We selected membrane patches that contained >90% properly assembled A2-A2-A4-B1b channels using the cAMP sensitivity and its voltage dependence as well as the Hill coefficient as indicators for correct channel assembly. This selection was possible because all other functional combinations of the three subunit types produced channels that differed significantly in these parameters (details in Figs. S1 and S2). We used these criteria to identify patches with >90% A2-A2-A4-B1b channels: (1) The ratio of activation constants $K1/2cAMP$ at −50 mV and +50 mV, $K1/2−50$/$K1/250$, was >1.33 (Fig. S1), or (2) the fractional current I/Imax at the subsaturating cAMP concentration of 3.4 µM is >0.31 (Fig. S2).

### The role of each subunit type in channel activation

To identify the specific functional role of each subunit type in channel activation, we selectively rendered the cAMP-binding site in each subunit inoperative by site-directed mutagenesis and analyzed the consequence of this perturbation for channel function. CNGA2, CNGA4, and CNGB1b possess similar cyclic nucleotide–binding sites located in the intracellular C-terminal part of the proteins (for reviews see Kaupp and Seifert, 2002; Craven and Zagotta, 2006; Biel and Michalakis, 2007). Conserved within the binding sites of all CNG channels is an arginine residue that forms an electrostatic bond with the cyclized phosphate of cAMP or cGMP. These residues are R538 in CNGA2 (Dhallan et al., 1990), R430 in CNGA4 (Bradley et al., 1994; Liman and Buck, 1994), and R657 in CNGB1b (Sautter et al., 1998; Bönigk et al., 1999) (Fig. 1 A). If the corresponding arginine in the photoreceptor channel subunit CNGA1 is replaced by a glutamate (R559E), the ligand sensitivity of the mutant is reduced by a factor of 10,000 (Tibbs et al., 1998). We used this observation to selectively prevent cAMP binding to each subunit type. To monitor the expression efficiency in these experiments, we tagged the CNGA2 subunit with YFP (see Materials and methods) and selected cells of similar shape, similarly high fluorescence intensity (class 4 cells; Fig. S3), and similar levels of CNGA2YFP expression. Three parameters were evaluated to ensure that the mutant subunits were coassembled in A2-A2-A4-B1b stoichiometry in these experiments: the cAMP concentration for half-maximal activation, its voltage dependence, and the Hill coefficient of the dose–response relation. In this way, it was possible to distinguish channels containing three different subunits from those with one or two subunits (legend to Fig. 1). Current–voltage relations of wild-type and mutant A2-A2-A4-B1b were recorded at different cAMP concentrations (Fig. 1 B), and the maximal cAMP-dependent current, Imax, was determined at 2 or 9.5 mM cAMP and −50 mV. We first asked whether the channels remained functional when CNGA4 or CNGB1b was incapacitated by an R/E mutation. Excised patches from cells expressing wild-type A2-A2-A4-B1b channels had a mean Imax of 423 ± 296 pA. Although only cells with high protein expression were selected (class 4 cells; Fig. S3), channel densities varied considerably between individual patches, giving rise to a range of Imax amplitudes. The maximal patch current from cells expressing single-mutant channels was 264 ± 252 pA (A2-A2-A4R430E-B1b) and 119 ± 85 pA (A2-A2-A4-B1bR657E). This observation demonstrates qualitatively that the mutant channels were activated by cAMP. We next asked whether the channels were operative when only CNGA2 could bind cAMP. Cotransfection of CNGA2 with both CNGA4R430E and CNGB1bR657E resulted in 50-fold lower current levels (Fig. 1 B; 13 ± 2 pA; 3 out of 12 patches), suggesting that the maximal open probability of the A2-A2-A4R430E-B1bR657E channels is very low, but not zero. In contrast, when the R/E mutation was placed into the CNGA2 subunit, the resulting A2R538E-A2R538E-A4-B1b channels did not open, even at 9.5 mM cAMP, confirming that this subunit is indispensable for channel gating at micromolar cAMP concentrations.

For a quantitative evaluation of the mutant channel properties, we determined their dose–response relations by measuring the macroscopic current at a range of cAMP concentrations. Fig. 1 C illustrates the effect of the binding site mutations on the equilibrium cAMP sensitivity of the fully assembled channel. Introducing the R/E exchange into CNGA4 caused a shift of $K1/2cAMP$ from 7.3 µM to 37.6 ± 8.5 µM (five patches; Fig. 1 C, green). Mutating the CNGB1b-binding site had a similar effect, with $K1/2cAMP$ = 25.5 ± 10.5 µM (five patches; Fig. 1 C, red). These results show that the R/E mutation in the cAMP-binding sites of CNGA4 or CNGB1b caused a comparable reduction of cAMP sensitivity, as observed when the respective subunits were entirely omitted from the channel (A2-A2-A2-A4, $K1/2cAMP$ = 10 µM; A2-A2-A2-B1b, $K1/2cAMP$ = 30 µM) (Bönigk et al., 1999). In channels containing both mutants (A2-A2-A4R430E-B1bR657E), the dose–response relation was shifted to extremely high cAMP concentrations. Currents were too small in most patches to allow reliable dose–response analyses. However, the cAMP sensitivity could be determined in three patches and yielded a mean $K1/2cAMP$ of 359.5 ± 68.5 µM (Fig. 1 C, blue), illustrating a drastically reduced ligand sensitivity in channels with only two functional binding sites.

Collectively, our results suggest (1) that the minimal condition for channel activity is the presence of a CNGA2 subunit; (2) that either of the two subunits CNGA4 and CNGB1b can, by itself, dramatically increase the efficiency of channel operation at high cAMP concentrations; and (3) that the liganding of a further subunit serves to stabilize the open state at low cAMP concentrations.

### The role of CNGB1b in channel desensitization

It was reported earlier that the endogenous channel–calmodulin complex is relatively stable. When formed inside an ORN or an HEK 293 cell, it can only be dissociated by a prolonged (∼10-min) wash in Ca2+-free solution (Lynch and Lindemann, 1994; Balasubramanian et al., 1996). In contrast, the complex formed by experimentally applied exogenous calmodulin disintegrates within seconds in the absence of Ca2+ (Fig. S4; Bradley et al., 2001, 2004). In view of this difference in stability, we reasoned that the endogenous complex may have structural features different from the exogenous complex. Because most available data originate from experiments with the exogenous complex, we tested this hypothesis by examining Ca2+-induced desensitization with its endogenous Ca2+ sensor still attached to the channels. We assume that this Ca2+ sensor is calmodulin because a set of calmodulin-binding sites has been identified on the three subunits (Liu et al., 1994; Bönigk et al., 1999; Bradley et al., 2004), and robust Ca2+ calmodulin effects on the olfactory channel have been documented (Chen and Yau, 1994; Balasubramanian et al., 1996; Bradley et al., 2001; Zheng et al., 2003). The final proof of calmodulin association with the channel awaits in vivo binding assays.

One conspicuous difference between the endogenous complex and the exogenous complex occurred in the desensitization kinetics. As shown previously, channels lacking either CNGA4 or CNGB1b subunits responded very slowly when calmodulin was added to the excised patch, whereas A2-A2-A4-B1b channels responded rapidly (Bradley et al., 2001, 2004; Munger et al., 2001). Consistent with these findings, we observed that the application of 0.5 µM calmodulin to A2-A2-A4-B1b channels, from which endogenous calmodulin had been removed, induced a rapid current decline in the presence of 10 µM cAMP/150 µM Ca2+ (Fig. 2 A). This effect was caused by a decrease of cAMP sensitivity, as $K1/2cAMP$ was shifted from 7.5 ± 0.5 to 20.0 ± 3.6 µM (four patches) upon the addition of Ca2+ calmodulin. Channels lacking CNGA4 responded much slower; it took 20-fold more time to reach 50% of the current decline (Fig. 2 A and Fig. S4). Thus, as shown previously (Bradley et al., 2001, 2004; Munger et al., 2001), CNGA4 is necessary for rapid desensitization by exogenous calmodulin. In contrast, channels with their endogenous calmodulin still attached responded rapidly to the application of 20 µM Ca2+, even in the absence of CNGA4 (Fig. 2 A, right). Kinetic analysis of the normalized calmodulin response (Inorm(t) = ICaM(t)ICaM; see Materials and methods) revealed that the time course of current decline was similarly rapid in the presence and the absence of CNGA4, provided the channels used its endogenous calmodulin as Ca2+ sensor (Fig. 2 B). This observation points to a marked difference between channel regulation by endogenous calmodulin and regulation by experimentally added calmodulin.

To closer examine this disparity, we selectively disabled the calmodulin-binding sites of CNGA4 and CNGB1b by mutagenesis and tested the consequences for channel regulation by endogenous calmodulin. The LQ-type binding motifs L292QHVNKRLERR in the C-terminal region of CNGA4 (Bradley et al., 2004) and L183QELVKMFKER in the N-terminal region of CNGB1b (Weitz et al., 1998) were subjected to an L/E exchange (A4L292E and B1bL183E; Fig. 3 A). These mutations were previously shown to prevent the desensitization of channels by exogenous calmodulin (Bradley et al., 2004). Unlike the removal of an entire subunit type, the introduction of L/E point mutations into CNGA4 and CNGB1b did not change the cAMP sensitivity in the absence of Ca2+ (Bradley et al., 2004). We were, therefore, able to use the cAMP sensitivity as criterion to identify patches with appropriately assembled channels. All patches used for these experiments displayed an I/Imax value of >0.31, with a test solution containing 3.4 µM cAMP (Fig. 3 D, inset). I/Vm relations were recorded to determine the cAMP sensitivity (Fig. 3, B and C). In the presence of 20 µM Ca2+, wild-type A2-A2-A4-B1b channels with endogenous calmodulin showed a reduced cAMP sensitivity (Fig. 3 D, black). The $K1/2cAMP$ was shifted to 47.8 ± 4.4 µM (seven patches). The same dose–response relation was observed with A2-A2-A4L292E-B1b channels exposed to Ca2+, with a $K1/2cAMP$ of 46.9 ± 12 µM (five patches; Fig. 3 D, green). In contrast, the cAMP sensitivity of A2-A2-A4-B1bL183E channels was virtually unchanged by Ca2+ ($K1/2cAMP$ : 10.8 ± 3.2 µM; five patches; Fig. 3 D, red). This value does not deviate significantly from the sensitivity of wild-type A2-A2-A4-B1b channels measured without Ca2+ ($K1/2cAMP$ = 7.3 ± 1.2 µM; seven patches). These results demonstrate that the LQ motif in CNGA4, which is essential for rapid desensitization by experimentally applied calmodulin (Bradley et al., 2004), does not participate in channel regulation when desensitization is mediated by endogenous calmodulin. The LQ motif of CNGB1b is necessary and sufficient for this process. As suggested earlier (Song et al., 2008), it represents the effector site for the allosteric regulation of cAMP sensitivity by calmodulin.

### The calmodulin-binding site of CNGB1b

To closer examine the binding of calmodulin to the binding site of CNGB1b, we synthesized a 27-residue peptide consisting of the consensus motif (bold in the following sequence) and its immediate surroundings: AIINDRL183QELVKMFKERTEKVKEKLIC. The fluorescent dye BADAN was covalently coupled to the C-terminal cysteine residue to allow the spectroscopic examination of calmodulin binding to this peptide (Fig. S5). We investigated the Ca2+ dependence of peptide–calmodulin interaction in a 1:2 molar ratio and found that binding occurred with high Ca2+ affinity. The dose–response relation yielded a $K1/2Ca$ of 12 nM for the binding of Ca2+ calmodulin to the B1b peptide (Fig. 4 A, •). To examine the specificity of this interaction, we repeated the experiments with calmodulin mutants, in which the two N-terminal Ca2+-binding sites (CaM12), the two C-terminal binding sites (CaM34), or all four sites (CaM1234) were disabled by a D→A exchange (Peterson et al., 1999). CaM1234 did not bind to the peptide (Fig. 4 A, ○), whereas CaM12 and CaM34 both bound with a slightly reduced Ca2+ affinity ($K1/2Ca$ = 21–27 nm; Fig. 4 A, ▾ and ▴). Thus, in the peptide-binding assay, the N-terminal CNGB1b-binding site displays a high-affinity interaction with both Ca2+-binding lobes of the calmodulin molecule. Because the L183E exchange in the CNGB1b subunit abolished the Ca2+-dependent desensitization of the A2-A2-A4-B1bL183E channel (Bradley et al., 2004) (Fig. 3 D), we investigated the effect of this L/E exchange in the peptide–calmodulin binding assay. The corresponding peptide (AIINDRE183QELVKMFKERTEKVKEKLIC) showed Ca2+-dependent binding with reduced affinity ($K1/2Ca$ = 60 nM; Fig. 4 B, •) to wild-type calmodulin, and no binding to the inactive CaM1234 mutant at any Ca2+ concentration tested (Fig. 4 B, ○). In contrast to the wild-type peptide, the L/E mutant also did not bind to CaM12 or CaM34 at any Ca2+ concentration (Fig. 4 B, ▾ and ▴). These peptide studies suggest that the B1b-binding site is able to interact both with the N-terminal and the C-terminal lobe of calmodulin, if Ca2+ is bound to that lobe, and that this binding requires the intact LQ motif. Collectively, our results support the hypothesis that the B1b-binding site in the A2-A2-A4-B1b channel triggers channel desensitization through Ca2+-dependent interaction with one of the two Ca2+-binding lobes of a calmodulin molecule.

## DISCUSSION

Our results complement a series of studies on olfactory A2-A2-A4-B1b channels that have illustrated the coassembly of the three channel subunits in this particular CNG channel (Sautter et al., 1998; Bönigk et al., 1999), the subunit stoichiometry (Zheng and Zagotta, 2004), the channel's gating principle (Nache et al., 2005; Biskup et al., 2007), and the Ca2+-dependent feedback regulation (Bradley et al., 2001, 2004; Munger et al., 2001; Trudeau and Zagotta, 2003). These and other studies (for reviews see Kaupp and Seifert, 2002; Matulef and Zagotta, 2003; Bradley et al., 2005; Craven and Zagotta, 2006; Pifferi et al., 2006; Biel and Michalakis, 2007) have clearly shown that A2-A2-A4-B1b channels operate at low micromolar cAMP concentrations, conduct Ca2+ efficiently, and are desensitized by Ca2+ calmodulin. To advance mechanistic concepts of the allosteric processes that lead from cAMP binding to activation and desensitization of the olfactory channel, we sought to identify the specific role that each subunit plays in channel activation and rapid desensitization.

### Channel activation

Our mutagenesis study revealed that the function of CNGA2 is indispensable for channel function; channels containing inactive CNGA2R538E subunits did not open at micromolar cAMP concentrations. On the other hand, CNGA2 can form cAMP-gated channels as a homomeric protein (Dhallan et al., 1990) or in combination with only one of the other subunits (Bradley et al., 1994; Liman and Buck, 1994; Sautter et al., 1998; Bönigk et al., 1999). Even when coassembled with inactive subunits (A2-A2-A4R430E-B1bR657E), CNGA2 could drive the channel into the open state, albeit with low efficacy. This observation firmly establishes CNGA2 as the principal subunit of the A2-A2-A4-B1b channel, responsible for the basic gating task, the opening of the channel pore.

The C4L model for channel activation (Biskup et al., 2007) specifies that the four channel subunits are liganded sequentially (Fig. 5 A). Our data provide insights into that sequence of cAMP binding and into the specific role of each subunit. We found that heteromeric channels can open when only two CNGA2 subunits are functional, but that they do not open when only CNGA4 and CNGB1b are functional. This observation suggests that the three subunits are not equivalent in the gating scheme, but that CNGA2 must be functional to allow channel opening. The critical step for channel opening in the C4L model is the binding of the second cAMP molecule. This drives the channel into the open state, which can then be stabilized by further cAMP binding. Our results suggest that only CNGA2 can serve as receptor for the second cAMP, and neither CNGA4 nor CNGB1b can substitute. Consequently, A2R538E-A2R538E-A4-B1b channels never open because the second cAMP cannot bind without intact CNGA2. The first binding step presumably involves CNGA4, as the cAMP-binding domain of this subunit confers high cAMP sensitivity to heteromeric channels (Shapiro and Zagotta, 2000). In this scenario, the CNGA4 subunit provides singly liganded channels at low cAMP concentrations, which can then be opened by CNGA2 upon binding of the second cAMP. The remaining two subunits serve to keep the channel open.

Studies of activation kinetics at low cAMP concentrations in CNA2 homomers and in A2-A2-A4-B1b channels revealed that a negative cooperativity effect reduces the stability of the doubly liganded state (Nache et al., 2005). Our data are consistent with this finding. We found an extremely low cAMP sensitivity in channels with only two intact subunits (A2-A2-A4R430E-B1bR657E). Our data also indicate that these mutant channels have a reduced open probability, as the maximal patch current at saturating cAMP concentrations is 50-fold smaller than in channels with three or four intact cAMP-binding sites. These observations are consistent with the prediction from the C4L model that the second binding step is not stable by itself. The second cAMP readily dissociates, hence limiting the maximal open probability. As the A2-A2-A4R430E-B1bR657E channel cannot reach a triply liganded state, a robust open conformation cannot be attained at micromolar cAMP concentrations. Clearly, a third liganding step is required to transfer the channel into a more stable open conformation. Our data show that this third binding step can be mediated equally well by CNGB1b and by the second CNGA2 subunit. Either subunit allows the channel to reach high levels of open probability, provided that ∼100 µM cAMP is applied. The need for such high cAMP concentrations in the channel with three cAMP-binding sites reflects the lack of the final binding step. If the fourth subunit binds cAMP, an open conformation is reached that is stable even at 10-fold lower cAMP concentrations. The fully liganded channel can open at 1–6 µM cAMP, a concentration reached in the cilia during the odor response. Collectively, our results can be adequately interpreted in the context of the C4L scheme. They corroborate and expand the C4L model by correlating individual subunit types with discrete liganding steps.

### Ca2+-dependent desensitization

There are several distinct modes of interaction between the cAMP-gated channel and calmodulin. Homomeric A2-A2-A2-A2 channels are desensitized by exogenous Ca2+ calmodulin through binding to an N-terminal domain (Chen and Yau, 1994; Liu et al., 1994). This interaction interferes with the intramolecular effect of an auto-excitatory domain that promotes gating efficacy (Trudeau and Zagotta, 2003). A different mechanism appears to desensitize A2-A2-A4-B1b channels challenged with exogenous calmodulin. Without a contribution of the CNGA2 subunit, two LQ-type calmodulin-binding sites on CNGA4 and CNGB1b mediate channel desensitization (Bradley et al., 2004). A third mode of channel regulation is at work when the channel is associated with its endogenous Ca2+-binding protein, which we supposed to be calmodulin. This mode absolutely depends on CNGB1b, but it does not necessarily involve CNGA4. These observations make it very clear that channel regulation should be studied as close to the in vivo situation as possible, and they point out the prominent role of CNGB1b in this process.

Previous work has shown that the CNGB1b subunit increases Ca2+ permeation in the cAMP-gated channel, a consequence of the reduced stability of Ca2+ coordination within the pore of the heteromeric channel (Dzeja et al., 1999). Ca2+ ions are specifically coordinated by negatively charged intrapore residues (E342 in CNGA2 and D234 in CNGA4) (Bradley et al., 1994). CNGB1b, however, carries an uncharged glycine residue in the homologous position of its pore-lining domain (G463; Bönigk et al., 1999), which weakens Ca2+ binding, shortens the dwell time of Ca2+ ions within the pore, and promotes Ca2+ permeation. Thus, one functional property that can be specifically assigned to CNGB1b is the acceleration of Ca2+ influx. The desensitization of A2-A2-A4-B1b channels to cAMP is triggered when Ca2+ binds to an endogenous Ca2+ sensor that tightly associates with the heteromeric channel complex. Previous work from various laboratories strongly indicates that this endogenous Ca2+ sensor is calmodulin, although the final proof is still missing. Endogenous calmodulin is tethered to the native channel protein much more tightly than experimentally applied calmodulin. It can, in fact, be considered an accessory fifth subunit of the A2-A2-A4-B1b channel. Moreover, the channel's response kinetics to exogenous Ca2+ calmodulin differ from the Ca2+ response of the channel with endogenous calmodulin (the former is biexponential, the latter monoexponential). These differences reflect the temporal properties of two very different binding processes: the association of Ca2+ calmodulin to the washed channel versus the association of Ca2+ with tethered calmodulin. Our data indicate that the B1b subunit tethers calmodulin but do not reveal the protein domain that stably binds calmodulin to the channel at low Ca2+ concentrations. However, the effector site for Ca2+-dependent desensitization is the calmodulin-binding site residing within the N terminus of CNGB1b. Its interaction with tethered calmodulin occurs if either of the two EF-hand domains of calmodulin binds Ca2+. Our peptide experiments suggest that the ability of CNGB1b to bind to partially liganded calmodulin is essential for desensitization. This follows from the finding that the L→E mutation that enables desensitization (Bradley et al., 2004) does not prevent the binding of the peptide to wild-type calmodulin, but only to the mutants CaM12 and CaM34, which serve as models for partially liganded calmodulin. Although such peptide data have to be interpreted with caution, this finding is consistent with the notion that one side of the calmodulin molecule is needed for tethering to the channel. The other side is liganded at elevated Ca2+ concentrations and interacts with the N-terminal B1b binding site. Desensitization is triggered by this interaction and promotes channel closing at 1–6 µM cAMP. Eventually, the ciliary Ca2+ concentration returns to control levels, as Ca2+ influx through the desensitized channels ceases and Ca2+ is extruded from the ciliary lumen (Reisert and Matthews, 1998). This resets the high cAMP sensitivity of the cAMP-gated channels (Fig. 5 B), preparing the ORN for the next sniff. Thus, calmodulin acts as built-in Ca2+ sensor for the A2-A2-A4-B1b channel, located within the Ca2+ microdomain at the channel mouth, where it can produce a fast and robust response to inflowing Ca2+. This local feedback mechanism resembles that of other Ca2+-permeable channels, in which Ca2+ influx triggers a rapid modulation of gating behavior (Saimi and Kung, 2002; Dunlap, 2007; Tadross et al., 2008).

What is the physiological function of channel desensitization? A recent study of a mouse model in which the CNGB1b calmodulin-binding site was genetically ablated (CNGB1bΔCaM) has shed light on the function of this feedback inhibition in sensory information processing (Song et al., 2008). Channels in these mice (A2-A2-A4-B1bΔCaM) have normal cAMP sensitivity, but the ORN response to odor stimuli shows subtle kinetic changes. Surface potential responses of the olfactory epithelium to brief stimuli (electro-olfactograms) show delayed recovery in the CNGB1bΔCaM mouse, and responses to prolonged stimulation display reduced adaptation. The authors suggest that CNGB1b accelerates response termination and, hence, promotes the ORN's ability to respond to consecutive stimuli. Indeed, recordings from the olfactory bulb of CNGB1bΔCaM mice yielded evidence for a delayed recovery time in the mutants. Thus, the rapid Ca2+-dependent desensitization of A2-A2-A4-B1b channels may serve to enhance the temporal resolution of signal processing by accelerating response recovery. This interpretation is consistent with the recent finding that odor detection and discrimination is a very fast process (Abraham et al., 2004; Rinberg et al., 2006; Wesson et al., 2008a,b, 2009; Carey et al., 2009). One brief sniff of 100–200-ms duration often suffices for odorant identification. This astonishing rapidity defines a narrow time window for the processes that regulate the activation and desensitization of the A2-A2-A4-B1b channels. Both processes must be effective within ∼100 ms.

Our findings add to the growing body of data that illustrate how ion channels are regulated via constitutively associated calmodulin (Maylie et al., 2004; Fakler and Adelman, 2008; Mori et al., 2008; Tadross et al., 2008). A common theme is the fast regulation by a calmodulin molecule poised in the immediate vicinity of a Ca2+-permeable pore. The stable association of calmodulin with the A2-A2-A4-B1b channel fits to the general concept that sees the fast and transient odor response of an ORN based on the subsecond activation and desensitization of the cAMP-gated channels. Rapid Ca2+-dependent desensitization appears to be a critical aspect of afferent signal generation in the olfactory system.

### Summary: the modular organization of olfactory CNG channels

Our data complement the sequential four-step gating model (Biskup et al., 2007) and suggest that olfactory cAMP-gated channels are operated in vivo by three distinct functional modules: (1) a CNGA2 subunit forms the basic gating module that opens the channel; (2) the CNGA4 subunit allows the channel to open at low cAMP concentrations; and (3) the CNGB1b subunit imposes a rapid, Ca2+-dependent feedback control onto the channel. These three functional modules serve to generate a transient receptor current in response to low micromolar concentrations of cAMP during odor stimulation.

## Acknowledgments

We thank Dr. Jonathan Bradley for helpful comments on the manuscript.

K. Vocke prepared the channel mutants; C. Waldeck did the electrophysiology; N. Ungerer prepared the calmodulin mutants and performed the peptide experiments; F. Möhrlen supervised the project; and S. Frings wrote, with the help of all other authors, the manuscript.

This work was supported by the Deutsche Forschungsgemeinschaft (FR 937/7 and MO 1384/1).

Edward N. Pugh Jr. served as editor.

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Abbreviations used in this paper:

6-bromoacetyl-2-dimethylaminonaphthalene

•
• ORN

olfactory receptor neuron

•
• YFP

yellow fluorescent protein

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