Introduction

Acid-sensing ion channels (ASICs) are proton-gated Na+ channels widely expressed in neurons1. In the central nervous system (CNS), they have a dendritic localization and contribute to the excitatory postsynaptic current2,3. In the peripheral nervous system (PNS), they sense painful acidosis4. Moreover, they contribute to the pathophysiological outcome of several neuronal disorders5, such as stroke and multiple sclerosis6,7, rendering ASICs interesting drug targets.

There are six ASIC subunits, ASIC1a, ASIC1b, ASIC2a, ASIC2b, ASIC3, and ASIC48, which assemble into trimeric channels9,10. Functional ASICs can be either homotrimers or heterotrimers. While homomeric ASIC1a and ASIC3 have a high proton sensitivity with a pH of half-maximal activation (pH50) of ~6.511,12,13, homomeric ASIC1b and in particular ASIC2a have lower proton sensitivity (pH50 of ASIC1b ~ 6.0 and pH50 of ASIC2a ~ 4.0)13,14,15; homomeric ASIC2b and ASIC4 are insensitive to protons16,17,18.

In the CNS, the main ASICs are homomeric ASIC1a and heteromeric ASIC1a/2a and ASIC1a/2b19,20,21,22,23,24. It has been shown that the ASIC1a/2a heteromer has a flexible stoichiometry of 1:2 and 2:110. Strikingly, both ASIC1a/2a heteromers have very similar functional properties, in particular pH5010,25, suggesting that individual subunits do not additively contribute to the functional properties of an ASIC, such as pH50. Moreover, toxins and other modulators of ASICs bind at subunit interfaces26,27, rendering the knowledge of subunit stoichiometry of interest for drug development. Yet, apart from the ASIC1a/2a heteromer, for no other ASIC heteromer has the subunit stoichiometry been firmly established. In the PNS, the ASIC2a/3 heteromer is important: it is expressed in mouse dorsal root ganglion neurons, in particular in cardiac afferents28,29, where it senses acidosis during myocardial ischemia and contributes to chest pain. Moreover, it allows a direct comparison of the influence of ASIC3 with that of ASIC1a on a heteromeric ASIC.

In this study, we characterized the stoichiometry of the ASIC2a/3 heteromer by different molecular, biochemical, and electrophysiological approaches. In contrast to the ASIC1a/2a heteromer, we found striking functional differences between the ASIC2a/3 heteromer with a 1:2 and a 2:1 stoichiometry. While the ASIC2a/3 heteromer with a 1:2 stoichiometry had characteristics that are intermediate between ASIC2a and ASIC3, the ASIC2a/3 heteromer with a 2:1 stoichiometry had characteristics that resembled homomeric ASIC2a. Since the pH values required to activate the ASIC2a/3 heteromer with 1:2 stoichiometry are much more in the physiological range, our data suggest that this heteromer is the physiologically relevant one.

Results

Functional characterization of ASICs in oocytes co-expressing ASIC2a and ASIC3 at variable ratios

We characterized ASIC2a, ASIC3, and their putative heteromers by two-electrode voltage clamp in Xenopus laevis oocytes. In oocytes expressing only ASIC3, acidic solutions elicited currents that desensitized in <1 s; at pH 5.5 or lower a non-desensitizing current component appeared that had an amplitude of ~2% of the peak amplitude. Apparent pH50 of the transient peak current was 6.40 ± 0.01 and the Hill-coefficient was 2.5 ± 0.1 (Fig. 1a, c, Table 1). Changing the conditioning pH from pH 7.4 to slightly more acidic values revealed half-maximal steady-state desensitization (SSD) at pH 7.21 ± 0.02 (Hill-coefficient −13.0 ± 1.8; Fig. 1b, e, Table 1). In contrast, in oocytes expressing only ASIC2a, acidic solutions elicited currents that did not fully desensitize within the 10 s of acid application and apparent pH50 was acid-shifted by more than two pH units compared with ASIC3 (pH50 3.96 ± 0.05, Hill-coefficient 0.8 ± 0.03; Fig. 1a, c, Table 1); half-maximal SSD was reached at pH 6.5 ± 0.06 (Hill-coefficient −2.1 ± 0.2; Fig. 1b, e, Table 1). Considering that the precision with which the pH50 of activation of ASIC2a can be determined is limited by the use of very acidic solutions, these values agree well with previously published values12,30,31,32.

Fig. 1: pH response relationships for ASIC2a, ASIC3, and oocytes co-expressing ASIC2a and ASIC3.
figure 1

a, b Representative current traces from measurements to determine pH50 of activation (a) and of SSD (b). For SSD measurements, activation pH was 4.0. cf Relative mean current amplitudes of oocytes expressing ASIC2a, ASIC3 (c, e) or co-expressing ASIC2a and ASIC3 at different cRNA ratios (d, f) at varying pH values. The pH values indicated were used for activation (c, d) or pre-conditioning (e, f) of oocytes. Solid lines represent fits to a Hill function. The dotted lines in panels d and f represent fits of the homomers from panels (c) and (e). ASIC2a and ASIC2a/3 5:1 did not reach a plateau in the pH range under investigation and corresponding Hill functions were therefore fitted with open constrains and rescaled afterwards. All other Hill functions were fixed to a maximum current amplitude of 1 (see “Methods” for details). g Overview of individual and average pH50 values (colored and black points, respectively) for activation (Act.) and SSD. Error bars represent SEM. For the number n of independent oocytes and for absolute values of Imax, see Table 1.

Table 1 Electrophysiological characteristics of ASIC2a and ASIC3 homomers and of ASICs from oocytes co-expressing ASIC2a and ASIC3 at different cRNA ratios.

To characterize the functional properties of putative ASIC2a/3 heteromers, we injected oocytes with varying ratios of ASIC2a and ASIC3 cRNA (5:1, 1:1, 1:5, and 1:10). With increasing amounts of ASIC3 cRNA, apparent pH50 of ASICs in these oocytes was alkaline-shifted from pH 3.43 ± 0.18 (ASIC2a:ASIC3 5:1) to pH 5.69 ± 0.05 (1:10; p < 10−7; ANOVA followed by Tukey’s test; Fig. 1a, d, g, Table 1). Half-maximal SSD was also alkaline-shifted from pH 6.36 ± 0.01 (5:1) to pH 6.77 ± 0.01 (1:10; p < 10−7; ANOVA followed by Tukey’s test; Fig. 1b, f, g, Table 1). These shifts in the values for pH50 of activation and of SSD indicate a mixed ASIC population after injection of different ASIC2a:ASIC3 cRNA ratios.

To determine the contribution of ASIC2a/3 heteromers to these mixed ASIC populations, we fitted the concentration-response relationships with the sum of three Hill-functions (Fig. 2). For two of these Hill functions, we used pH50 and Hill-coefficients as determined above for homomeric ASIC2a and homomeric ASIC3, respectively. The third Hill-function was not restrained and therefore could capture the properties of potential ASIC heteromers. We determined the relative contributions of the three Hill-functions to the total current as well as the pH50 and Hill-coefficient of the third Hill-function (see “Methods”). The contribution of the third Hill function (representing the heteromeric population) to the total current ranged from 16 to 86% and was consistently high (62 to 86%) for the recordings with ASIC2a:ASIC3 ratios of 1:5 and 1:10 (Table 2). The pH50 values of the heteromeric population in these experiments were 5.51 ± 0.03 and 5.57 ± 0.03 for activation and 6.88 ± 0.13 and 6.76 ± 0.01 for SSD (Fig. 2 and Table 2), respectively, suggesting that heteromeric ASIC2a/3 channels have a proton-sensitivity in-between the two homomers.

Fig. 2: Analysis of mixed ASIC populations.
figure 2

a, b pH response relationships for activation (a) and SSD (b) from Fig. 1 were reanalyzed by assuming a mixed ASIC population and by fitting with the sum of three Hill functions. Two Hill functions had fixed pH50 values and Hill coefficients corresponding to ASIC2a and ASIC3, respectively, and the third Hill function was flexible. Averaged fits are shown as solid lines, error bars represent the SEM. For better comparison, the fits were scaled to a range between 0 and 1 and relative currents were scaled accordingly. c pH50 values of the third, flexible Hill function are indicated for individual recordings, pH50 values of activation in bluish green and pH50 of SSD in brownish. Tints illustrate the contribution of the heteromeric population to the total population. For the number n of independent oocytes, see Table 2.

Table 2 Fit of mixed ASIC populations by the sum of three Hill functions.

ASIC2a-3 concatemers form functional trimers in oocytes

Because curve fitting assuming a scenario with two different heteromers (with a 1:2 and a 2:1 stoichiometry) co-existing with the two homomers cannot faithfully discriminate from a scenario with one heteromer co-existing with two homomers10, we turned to concatemers, in which we fixed the stoichiometry to either 1:2 or 2:1 by covalently linking subunits in the desired configurations. Previously, we could successfully characterize the two individual ASIC1a/2a heteromers by constructing such concatemeric channels with the desired subunit composition25. Therefore, we generated similar trimeric concatemers containing different numbers of ASIC2a and ASIC3 subunits in different orders. For detection of the concatemers in western blots, we also constructed concatemers with an N-terminal heptahistidine-tag (His-tag; see “Methods” section). These His-tagged constructs had similar properties as untagged concatemers (see below; Fig. 3c, d).

Fig. 3: Functional characterization of ASIC2a-ASIC3 concatemers.
figure 3

a, b Representative current traces from measurements to determine pH50 of activation (a) and of SSD (b) for ASIC2a-ASIC3 concatemers. c Current amplitudes of individual oocytes (dots) and mean current amplitudes (crosses) are shown, the color code indicates the number of ASIC3 subunits. For activation recordings, the current amplitudes at pH 3.5 (ASIC2a or concatemers containing no or one ASIC3 subunit), pH 4.3 (concatemers containing two ASIC3 subunits), or pH 5 (ASIC3 or 3a-3a-3a) are shown. For SSD recordings, current amplitudes at pH 4.0 are shown. d pH50 of activation and of SSD were determined by fitting peak currents with Hill functions. Values for individual oocytes are shown as dots, mean values as squares. e pH response curves for ASICs containing zero to three ASIC3 subunits per trimer are shown. For activation curves, current values as well as Hill function parameters were averaged for all ASICs with the respective number of ASIC3 subunits, including His-tagged constructs. For comparison, the activation and SSD curves of oocytes expressing ASIC2a and ASIC3 at a 1:5 ratio from Fig. 1 are shown. Error bars represent SEM. For the number n of independent oocytes, see Table 3.

We then biochemically examined the synthesis and plasma membrane appearance of full-length ASIC2a/3 concatemers compared with individually expressed (non-concatenated) ASIC2a and ASIC3 subunits. The respective constructs were dyed for detection, purified via the N-terminal His-tag, resolved by SDS-urea-PAGE in non-reduced and DTT-reduced states, and visualized by infrared and radio scanning. ASIC2a migrated at the expected calculated total mass of 64 kDa (59 kDa protein core plus 5 kDa provided by two N-glycans at 365NLT and 392NKS) in both 35S-labeled form and plasma membrane form (Supplementary Fig. 1, lane 1). A faster migrating band of 50 kDa is probably a degradation product of ASIC2a (lane 1). Its proportion is overestimated due to the comparably high amplification of fluorescence; quantitatively, it accounts for only 5% of ASIC2a. A 120 kDa band is also visible in the plasma membrane in lane 1, which is most likely a ASIC2a dimer. In contrast to ASIC2a, ASIC3 (60 kDa protein core plus 5 kDa provided by two N-glycans at 176NFT and 400NRS) was only visible in the 35S labeled form, but not at the plasma membrane (lane 18), which we attribute to the overall lower expression of the ASIC3 protein.

All the ASIC2a-ASIC3 concatemers were visible in both the 35S-labeled and plasma membrane-bound forms, and predominantly in masses consistent with full-length ASIC2a/3 trimers (lanes 2–15). The slower migration of the concatemers in the DTT-reduced state is consistent with the reduction of intrasubunit disulfide bonds present in the ASICs ectodomains. The breaking of these disulfide bonds relaxes the compactness of the protein structure, thus resulting in an expected slower migration in the SDS-urea-PAGE gel. Small amounts of lower order byproducts consisting of monomers and dimers (as indicated by the number of dots in the bands) are also seen in both the 35S-labeled and plasma membrane-bound forms, but only when the ASIC2a-ASIC3 concatemers contained two copies of ASIC2a (lanes 2–9). In contrast, no such byproducts were observed when the concatemers contained two copies of ASIC3 (lanes 10–15). The concatenated homotrimer ASIC3 (3-3-3) was only very weakly expressed in the 35S labeled form and was not detected at the plasma membrane (lanes 16–17), like monomeric ASIC3 (lane 18).

The two ASIC2a/3 heteromers have widely different proton sensitivity

Next, we functionally characterized the concatemers and compared them to ASIC channels assembled from individual (non-concatenated) subunits. We observed proton-sensitive currents for all constructs, also the homotrimer 3-3-3 (Fig. 3a–c) and determined their pH dependence of activation (see “Methods”). First, we characterized concatemers containing just ASIC2a subunits. Although the pH50 of the 2a-2a-2a concatemer (pH 4.10 ± 0.16) was significantly different from ASIC2a (pH 3.38 ± 0.02; p < 0.001; ANOVA followed by Tukey’s test; Fig. 3d; Table 3), we note that the acidic pH necessary to activate ASIC2a renders the determination of pH50 values less precise. Replacing one ASIC2a subunit by an ASIC3 subunit in the concatemers yielded channels with pH50 values in the range of 3.93-4.14 (p = 0.99 for all comparisons within this group; Fig. 3d, e, Table 3), like the 2a-2a-2a concatemer (p = 0.94–0.99). In contrast, replacing two ASIC2a subunits by ASIC3 subunits strongly shifted pH50 to the range of 5.29-5.65 (p = 0.11–0.99 for all comparisons within this group) which was significantly different (p < 0.001) from ASIC2a, the 2a-2a-2a concatemer and the concatemers containing only one ASIC3 subunit (Fig. 3d, e, Table 3). Finally, the 3-3-3 concatemer had a pH50 like ASIC3 (pH 6.39; Fig. 3d, Table 3), which was significantly different from ASIC2a and all the other concatemers (p < 0.001).

Table 3 Electrophysiological characteristics of ASIC2a-ASIC3 concatemers.

We determined the pH dependence of SSD for ASIC2a and ASIC3 as well as for four representative concatemers (2a-2a-2a, 3-3-3, and the heteromers 2a-3-2a and 3-2a-3). ASIC2a and the 2a-2a-2a concatemer had pH50 values of 6.24 ± 0.03 and 6.03 ± 0.09, respectively (p = 0.009; ANOVA followed by Tukey’s test; Fig. 3d, Table 3). Like the pH50 of activation, the pH50 of SSD of the heteromeric concatemer 2a-3-2a, containing one ASIC3 subunit, was similar to the pH50 of ASIC2a (6.19 ± 0.02; p = 0.92). In contrast, the heteromeric concatemer 3-2a-3, containing two ASIC3 subunits, had a pH50 of 6.59 ± 0.01, which was significantly higher than for ASIC2a and the concatemers 2a-2a-2a and 2a-3-2a (p < 0.001; Fig. 3d, e, Table 3). ASIC3 and the 3-3-3 concatemer had similar pH50 values (7.14 ± 0.02 and 7.17 ± 0.01, respectively; p = 0.99; Fig. 3d), which were significantly different from all other constructs (p < 0.001).

For the SSD measurements, we also determined time constants of desensitization (τdes) at pH 4.0 with an automated curve-fitting procedure (Table 3). ASIC2a had a τdes of 10.8 ± 3.1 s (n = 4) and the 2a-2a-2a concatemer had a similar τdes of 9.9 ± 2.3 s (n = 8; p = 0.99, ANOVA followed by Tukey’s test). Interestingly, all other channels had relatively similar τdes < 2 s (τdes of 2a-3-2a: 1.7 ± 0.4 s, n = 7; τdes of 3-2a-3: 0.6 ± 0.05 s, n = 9; τdes of ASIC3: 0.6 ± 0.05 s, n = 9; τdes of 3-3-3: 0. 6 ± 0.03 s, n = 10), which were not different from each other (p = 0.96–0.99) but significantly different from ASIC2a and 2a-2a-2a (p < 0.001). It should be noted that the determination of τdes < 1 s is limited in oocytes by the comparatively slow solution exchange. Nevertheless, in contrast to pH50 values, τdes allowed to differentiate the concatemer containing one ASIC3 subunit from ASIC2a and the 2a-2a-2a concatemer. Similarly, the current remaining 5 s after the peak current (I5s) was small for homomeric ASIC3 (5 ± 2% of the peak), slightly larger for the 3-2a-3 concatemer (13 ± 1%; p = 0.52 compared to ASIC3, ANOVA followed by Tukey’s test), large for homomeric ASIC2a (>70%; p < 0.001 when compared to any other ion channel composition), and intermediate for the 2a-3-2a concatemer (42 ± 7%; p < 0.001 when compared to any other ion channel composition; Table 3).

Collectively, these results reveal that concatemers containing two ASIC3 and one ASIC2a subunit form an ASIC population with properties clearly different from the two homomeric populations. In contrast, results for concatemers containing one ASIC3 and two ASIC2a subunits were ambiguous. These channels had properties like ASIC2a, and activation required strong acidification to pH values below pH 5.0. Only τdes was different between ASIC2a homotrimers and concatemers containing one ASIC3 and two ASIC2a subunits. In any case, the two heteromers clearly had different proton sensitivities, which is in sharp contrast to the two ASIC1a/2a heteromers25. Intriguingly, pH50 values, τdes, and I5s/Ipeak for concatemers containing two ASIC3 and one ASIC2a subunit closely resembled the properties of the putative heteromeric population determined in oocytes expressing ASIC2a together with ASIC3 (Fig. 2; Table 2).

Mutation of a critical His residue in individual subunits reports the number of mutant subunits

To further corroborate our results, we turned to the analysis of trimers containing varying numbers of a loss-of-function mutation. Combined substitution of the histidine residues at positions 72 and 73 in ASIC1a by asparagine (H72N_H73N) leads to complete loss-of-function33. We reasoned that if the loss-of-function depends on the number of subunits with the His-to-Asn exchange, this mutation might be useful to report the number of a specific subunit in a channel. We tested this assumption using an ASIC1a concatemer in which three ASIC1a subunits were covalently linked (1a-1a-1a). This concatemer expressed well in oocytes (Fig. 4a) and displayed electrophysiological properties that resembled ASIC1a wild type closely (see Supplementary Table 1).

Fig. 4: Mutation of two ASIC subunits leads to a loss-of-function.
figure 4

a Representative current traces of ASIC1a and the 1a-1a-1a concatemer. b Representative current traces of concatemers carrying a H72N_H73N mutation in different subunits; mutated subunits are marked by a cross. c Mean current amplitudes for activation with pH 4.0 for 10 s. Oocytes had been injected with equal amounts of cRNA (~0.5 ng). Error bars represent SEM. The number n of independent oocytes was (from left to right): 9, 7, 8, 7, 7, 8, 11, 7, and 6, respectively.

We then generated all possible ASIC1a concatemers with one to three subunits carrying the H72N_H73N exchange and studied them by electrophysiology (Fig. 4b; Supplementary Table 1). We injected equal RNA amounts of ASIC1a or the different ASIC1a concatemers and determined the current amplitude at pH 4.0. Oocytes expressing ASIC1a had an average current amplitude of −32.71 ± 3.87 µA (n = 9). The 1a-1a-1a concatemer had approximately threefold smaller current amplitudes of −11.70 ± 1.85 µA (n = 7; p < 10−7; ANOVA followed by Tukey’s test; Fig. 4c). Compared with the wild-type 1a-1a-1a concatemer, concatemers with one mutated subunit had more than tenfold smaller current amplitudes, irrespective of the position of the mutated subunit within the channel (−0.89 ± 0.02 µA, n = 22; p < 10−7; ANOVA followed by Tukey’s test; Fig. 4c). As expected, mutation of all three subunits led to a loss-of-function (current amplitude −0.03 ± 0.005 µA, n = 6). Strikingly, when comparing mutated concatemers, mutation of two subunits was sufficient to lead to a loss-of-function and current amplitudes were indeed not significantly different from current amplitudes of triple-mutant concatemers (−0.14 ± 0.01 µA, n = 23; p = 0.802; Fig. 4c). In contrast, concatemers with one mutant subunit had significantly higher current amplitudes than concatemers with three or two mutant subunits (p(1vs3) < 10−5; p(1vs2) < 10−7; ANOVA followed by Tukey’s test).

We next measured concentration-response curves for all concatemers in the range pH 7.4−4.0. The amplitudes of resulting currents were fitted by a Hill function. Concatemers with one mutant subunit had a pH50 of 6.51 ± 0.02 when the first subunit contained the mutation (HN-WT-WT), 6.08 ± 0.05 when the second subunit contained the mutation (WT-HN-WT; vs. HN-WT-WT: p < 10−7, ANOVA followed by Tukey’s test) and 5.96 ± 0.05 when the third subunit contained the mutation (WT-WT-HN, vs. HN-WT-WT: p < 10−7, vs. WT-HN-WT: p = 0.121, ANOVA followed by Tukey’s test) (Supplementary Table 1).  It is interesting to note that the concatemer with a mutated subunit in the first position had a proton sensitivity that was significantly different from the other two concatemers. We currently have no explanation for this position-dependence of the mutation. The average pH50 for concatemers with one mutant subunit was 6.24 ± 0.04 (n = 55; vs. WT concatemer: p = 0.012, ANOVA followed by Tukey’s test), indicating a slight acid-shift by one mutant subunit. Consistent with a loss-of-function of ASIC1a concatemers with two or three mutant subunits, reliable fitting of peak currents by the Hill function was not possible.

Functional characterization of ASIC2a/3 heteromers containing individual mutant subunits

To investigate the stoichiometry of ASIC2a/3 heteromers, we injected ASIC2a-wt or ASIC2a-H73N together with ASIC3-wt or ASIC3-H72N_H73N into oocytes and compared current amplitudes and pH50 of the resulting ASICs. We injected ratios of cRNAs that should lead to predominantly heteromeric channels (see Table 2). Channels were activated with pH ranging from 7.0 to 3. In oocytes expressing only mutant subunits (ASIC2a-H72N and ASIC3-H72N_H73N) only pH 4.0 or pH 3.0 elicited small currents (Fig. 5a). Strikingly, in oocytes expressing wild-type ASIC2a together with ASIC3-H72N_H73N similarly only pH 4.0 or pH 3.0 elicited small currents (Fig. 5a), suggesting that wild-type ASIC2a cannot efficiently rescue the channels. In contrast, in oocytes expressing wild-type ASIC3 together with ASIC2a-H72N, currents were elicited by pH 6.0 or below and at pH 4.0 peak currents had an amplitude of >1 µA (Fig. 5a), suggesting that wild-type ASIC3 efficiently rescued the channels. These results are in agreement with the idea that ASIC2a/3 heteromers containing two ASIC2a subunits are substantially acid-shifted compared with heteromers containing two ASIC3 subunits.

Fig. 5: Only ASIC3 but not ASIC2 can rescue a heteromer containing mutant subunits.
figure 5

a Representative current traces of ASIC2a-H72N with ASIC3-wt and of ASIC2a-wt with ASIC3-H72N_H73N. The two possible heteromers are indicated below the traces (ASIC2a in red, ASIC3 in green); mutated subunits are marked by a cross. Channels with two mutant subunits are crossed out, assuming that they are inactive. Note that only when ASIC3-wt (n = 9) but not when ASIC2a-wt (n = 8) was present, robust ASIC activity could be measured, suggesting that the channel with two ASIC2a subunits made no contribution to the currents. Similarly, co-injection of mutated ASIC2a with mutated ASIC3 showed minimal activity and only at strongly acidic pH (n = 8). b As in (a), but with ASIC1a instead of ASIC3. Here, robust ASIC activity could be measured also when ASIC2a-wt was present. Error bars represent SEM. n = number of independent oocytes.

To confirm that this assay can reveal differences in subunit numbers, we repeated this experiment with mutant ASIC2a and ASIC1a subunits and injected cRNA ratios that should lead to the predominant formation of heteromers10. Because, the ASIC1a/2a heteromer has a flexible 2:1/1:2 stoichiometry10, we expected that both ASIC1a and ASIC2a should be able to rescue the function of mutant channels. This was indeed the case: not only ASIC1a was able to rescue channels that contained ASIC2a-H72N but also ASIC2a rescued channels containing ASIC1a-H72N_H73N (Fig. 5b). This result confirms that this assay can resolve the subunit stoichiometry of ASICs, operating at physiological pH values.

The two ASIC2a/3 heteromers can be distinguished pharmacologically

To test whether the two ASIC2a/3 heteromers can be distinguished pharmacologically, we determined their inhibition by the non-steroidal anti-inflammatory drug diclofenac. Diclofenac inhibits the sustained current of ASIC334 and the peak current of ASIC2a but not of ASIC335. Because the sustained current of ASIC3 and the 3-2a-3 concatemer in occytes is small (Fig. 3, Table 3), we focused our analysis on the inhibition of the peak current at pH 4.0. Like previously reported35, 500 μM diclofenac reduced the ASIC2a peak current to 0.68 ± 0.06 of control (p = 0.0002, paired t-test, n = 10); the peak current of ASIC3 was not reduced (1.02 ± 0.05; p = 0.58, n = 12; Fig. 6a, b). The peak current of the 2a-3-2a concatemer was reduced (0.76 ± 0.1; p = 0.0002, n = 13), was similar to ASIC2a homomers (p = 0.40, ANOVA followed by Tukey´s test) but different from ASIC3 homomers (p < 0.0001, ANOVA; Fig. 6a, b). In contrast, the peak current of the 3-2a-3 heteromer was not reduced (0.99 ± 0.16; p = 0.73, n = 13), was different from ASIC2a (p < 0.0001, ANOVA) but similar to ASIC3 (p = 0.91; ANOVA; Fig. 6a, b). These results show that diclofenac can indeed differentiate between the two heteromers; the 2a-3-2a concatemer behaves like homomeric ASIC2a and the 3-2a-3 concatemer like homomeric ASIC3.

Fig. 6: Diclofenac differentiates between the two heteromers.
figure 6

a Representative current traces from measurements determining inhibition of homomeric ASIC2a and ASIC3 and ASIC concatemers by 500 μM diclofenac. ASICs were activated with pH 5.0. b Bar graph summarizing inhibition of ASICs by diclofenac. Peak currents in the presence of diclofenac were normalized to the peak current before application of diclofenac. The number n of independent oocytes was (from left to right): 10, 13, 13, and 12, respectively. c Representative current traces from measurements determining inhibition by 500 μM diclofenac for oocytes injected with different ratios of ASIC2a and ASIC3. ASICs were activated with pH 4.0. d Bar graph summarizing inhibition of ASICs by diclofenac. The number n of independent oocytes was (from left to right): 11, 11, 12, 12, and 10, respectively. Error bars represent SEM. *p > 0.5; **p < 0.01, ***p < 0.001 (ANOVA, followed by Tukey´s test).

We finally asked whether the differential pharmacology of the two heteromers would allow us to identify the presence of the two heteromers in oocytes co-expressing ASIC2a and ASIC3. We injected oocytes with three different ratios of ASIC2a and ASIC3 cRNA (5:1, 1:1, and 1:5) and determined inhibition by diclofenac (Fig. 6c, d). Peak current amplitudes of oocytes injected with a 5:1 ratio (ASIC2a:ASIC3) were reduced by diclofenac to 0.76 ± 0.26 of control (p = 0.062, paired t-test), in between oocytes expressing homomeric ASIC2a (0.61 ± 0.11; p = 0.70, ANOVA) or homomeric ASIC3 (0.88 ± 0.08; p = 0.27). In contrast, peak current amplitudes of oocytes injected with a 1:1 ratio were not reduced by diclofenac (0.91 ± 0.21 of control; p = 0.55) and were different from homomeric ASIC2a (p = 0.014) but similar to ASIC3 (p = 0.99). Likewise, peak current amplitudes of oocytes injected with a 1:5 ratio were not reduced by diclofenac (1.09 ± 0.32 of control; p = 0.10), were different from homomeric ASIC2a (p < 0.0001) but similar to ASIC3 (p = 0.10; Fig. 6d). These results suggest that oocytes injected with a 5:1 ratio (ASIC2a:ASIC3) expressed a mixed population of ASICs, possibly both ASIC2a/3 heteromers together with homomeric ASIC2a, and that oocytes injected with a 1:1 or a 1:5 ratio expressed mainly the ASIC2a/3 heteromer with two ASIC3 subunits together with homomeric ASIC3.

We tested the contribution of the different subpopulations to the ASICs in oocytes co-expressing ASIC2a and ASIC3 by fitting the concentration-response relationships from Fig. 1 with the sum of four Hill functions; for two Hill functions we used pH50 and Hill coefficients determined for homomeric ASIC2a and ASIC3 and for the other two we used the values determined for the two concatemers (2a-3-2a and 3-2a-3), respectively (Table 3). When performed for activation curves, this analysis revealed that oocytes injected with equal amounts of ASIC2a and ASIC3 expressed mainly the 3-2a-3 channel; only with higher amounts of the ASIC2a subunit (ASIC2a:ASIC3—5:1), the 2a-3-2a channel became predominant (Fig. 7a). In contrast, for SSD curves, this analysis revealed a predominant presence of the ASIC2a homomer in oocytes injected with equal amounts of ASIC2a and ASIC3 (Fig. 7b). While the 3-2a-3 channel was predominant in oocytes expressing higher amounts of the ASIC3 subunit (ASIC2a:ASIC3—1:5), the 2a-3-2a made only a small contribution in all conditions (Fig. 7b). Irrespective of this inconsistency, the fit with the sum of four Hill functions did not reveal results that would have been expected for random assembly of ASIC2a and ASIC3 subunits (Fig. 7c).

Fig. 7: Analysis of mixed ASIC populations by using data of concatemer recordings.
figure 7

pH response relationships for activation (a) and SSD (b) from Fig. 1 were reanalyzed by fitting with the sum of four Hill functions. Each Hill function had fixed pH50 values and Hill coefficients corresponding to ASIC2a, ASIC3, the heteromer with two ASIC2a subunits and the heteromer with one ASIC2a subunit, respectively (data taken from Fig. 3). The contribution of each Hill function, corresponding to an ion channel subpopulation, is displayed as color code for individual recordings. The cRNA injection condition is indicated on the x-axis. c The proportions of ion channel subpopulations that would be expected from a random assembly are shown as a function of the ratio of ASIC2a and ASIC3 subunits.

Discussion

Our results provide strong evidence that the two ASIC2a/3 heteromers have different properties, in particular proton sensitivity of activation and of SSD. While pH50 of activation and of SSD of concatemers containing two ASIC3 subunits and one ASIC2a subunit were intermediate between those of the two homomeric channels (ASIC2a and ASIC3), those of the concatemers containing only one ASIC3 subunit and two ASIC2a subunits resembled those of the ASIC2a homomer. Strikingly, when the two subunits were co-expressed in Xenopus oocytes, there was an ASIC population with properties that were intermediate between those of the two homomeric populations and that matched well the properties of the concatemers with two ASIC3 subunits, suggesting that this heteromeric population had a composition with two ASIC3 subunits. In our interpretation, the heteromeric population with two ASIC2a subunits could not be differentiated from the homomeric ASIC2a population.

This situation is in stark contrast to the ASIC1/2a heteromer, where the two heteromers randomly assemble10 and have very similar functional properties rendering their differentiation difficult25. Thus, it appears that the contribution of individual subunits in these two heteromers (ASIC2a/3 and ASIC1a/2a) is different. Both ASIC1a and ASIC3 are subunits with high affinity for protons; ASIC2a in contrast is a subunit with low affinity for protons. It appears that for the ASIC1a/2a heteromer the first high-affinity (ASIC1a) subunit makes a large contribution to proton sensitivity, the second high-affinity subunit makes almost no further contribution, and the third high-affinity subunit makes again a larger contribution. For the ASIC2a/3 heteromer, however, it appears that a single high-affinity subunit (ASIC3) makes almost no contribution to the proton sensitivity and that two high-affinity subunits are necessary to shift proton sensitivity remarkably. The third high-affinity subunit makes again a larger contribution. Proton-sensitivity of the ASIC2a/3 concatemers with two ASIC3 subunits were indeed similar to those of the ASIC1a/2a heteromers (irrespective of their stoichiometry)25. Interestingly, τdes of the 2a-3-2a concatemer was significantly smaller than for the 2a-2a-2a concatemer or for ASIC2a (1.9 s compared with 9.9 s and 10.8 s, respectively; Table 3). Likewise, I5s/Ipeak was smaller for the 2a-3-2a concatemer than for the 2a-2a-2a concatemer or for ASIC2a (Table 3), suggesting that a single ASIC3 subunit makes a stronger contribution to desensitization than to activation.

The interpretation that the two ASIC2a/3 heteromers have different proton sensitivity is confirmed by the analysis of heteromers containing mutant subunits. Although there are different possible interpretations of this experiment, based on the results with the ASIC1a concatemers, we draw two conclusions. First, that only channels with two wild-type subunits are functional. Second, that a single mutant subunit acid-shifts pH50 of activation. Therefore, in the case of the ASIC1a/2a heteromer, when the ASIC1a subunit was mutated, only the heteromer with two (wild type) ASIC2a subunits was still active. This mutant ASIC1a/2a with the 1:2 stoichiometry was acid-shifted with respect to the wild-type heteromer characterized previously25, such that pH 5.0 still elicited robust currents (Fig. 5b). In contrast, in the case of the ASIC2a/3 heteromer with the 2:1 stoichiometry, already the wild-type heteromer had a low pH sensitivity like ASIC2a (Fig. 3). Thus, a further acid-shift by the mutation of ASIC3 would render this channel largely unresponsive to protons (down to pH 3), just as we observed (Fig. 5a). In contrast, when the ASIC2a subunit was mutated, only the heteromer with two (wild type) ASIC3 subunits was still active. Because the ASIC2a/3 heteromer with the 1:2 stoichiometry had a much higher proton sensitivity than the one with the 2:1 stoichiometry, comparable to the ASIC1a/2a heteromers25, mutation of the one ASIC2a subunit, while acid-shifting the proton sensitivity of this channel, would still leave a channel in which pH 5.0 elicited robust currents (Fig. 5a). Thus, these results are consistent with the interpretation that the ASIC2a/3 heteromer with the 2:1 stoichiometry is substantially acid-shifted compared with the ASIC2a/3 heteromer with a 1:2 stoichiometry. We note that we cannot be sure that our initial conclusions from the 1a-1a-1a concatemers (only channels with two wild-type subunits are functional; a single mutant subunit acid-shifts pH50 of activation) also apply to ASICs containing other subunits than ASIC1a. However, the experiments with the mutation-containing ASIC1a/2a heteromers provide independent support for the interpretation of the experiments with the mutation-containing ASIC2a/3 heteromers.

The low proton sensitivity of the ASIC2a/3 heteromer with two ASIC2a subunits, which was difficult to differentiate from the ASIC2a homomer, raises the question of whether this heteromer exists at all. Biochemical analysis revealed, however, that concatemers containing two ASIC2a subunits are stable and present at the plasma membrane (Supplementary Fig. 1). Moreover, these concatemers were functional, irrespective of the position of the single ASIC3 subunit within the trimer (Fig. 3). Therefore, we have no reason to refute the possibility that this channel exists.

Due to its low proton sensitivity, homomeric ASIC2a is usually not considered to participate in proton-sensing in the CNS or the PNS. Because ASIC2a/3 heteromers with the 2:1 stoichiometry have strongly acid-shifted pH50 values, like ASIC2a, they probably also do not contribute to sensing acidosis in situ. In a study, in which ASICs of mouse cardiac afferents were characterized, the authors reported a pH50 of 5.6 for cardiac afferents and for ASIC2a/3 heteromers heterologously expressed in CHO cells and they concluded that the ASIC2a/3 heteromer is the ASIC of mouse cardiac afferents. This pH50 value is indeed in excellent agreement with the values for the ASIC2a/3 concatemers with two ASIC3 subunits (pH50 = 5.3–5.7), suggesting that the ASIC2a/3 heteromer of mouse cardiac afferents indeed has a 1:2 stoichiometry. However, τdes at pH 4.0 was substantially slower in their study (τdes = 1.9 s for cardiac afferents and τdes = 1.8 s for ASIC2a/3)28 than for the 3-2a-3 concatemer (τdes = 0.6 s), possibly due to differences in species or expression system (DRG neurons and CHO cells vs. oocytes) or both.

Do ASIC2a and ASIC3 subunits randomly assemble like ASIC1a and ASIC2a10 or is there preferential assembly of one ASIC2a/3 heteromer? In an ideal situation, injecting equal amounts of ASIC2a and ASIC3 cRNA into oocytes would result in equal amounts of both proteins. However, when injected alone, ASIC3 had lower expression than ASIC2a (Fig. 3), suggesting that the translational efficiency or stability of ASIC3 in oocytes was lower than those of ASIC2a. This precludes clear conclusions on preferential assembly. Nevertheless, even though less ASIC3 might be present in oocytes injected with both cRNAs in a 1:1 ratio, proton sensitivity of activation, I5s/Ipeak, and sensitivity to diclofenac of ASICs in these oocytes was clearly more similar to the properties of the 3-2a-3 concatemer than of the 2a-3-2a concatemer (Tables 13). Moreover, fitting the concentration-response relationships of activation curves from these oocytes with the sum of four Hill functions revealed a clear underrepresentation of the 2a-3-2a channel, while the 3-2a-3 channel was predominant. On the other hand, analysis of SSD curves did not yield clear results in favor of preferential assembly of the 3-2a-3 channel. Thus, while our results do not allow clear conclusions on random or preferential assembly of ASIC2a and ASIC3 subunits, they speak in favor of a preferential assembly of the ASIC2a/3 heteromer containing two ASIC3 subunits.

What is the relative expression of the two ASIC2a/3 heteromers in the PNS? A previous study, using a semi-quantitative biochemical approach, concluded that the main functional ASICs in the brain are ASIC1a homomers and ASIC1a/2a heteromers, that the number of ASIC2a homomers is negligible, and that the ASIC1a/2a heteromers predominantly have a 2:1 stoichiometry. Moreover, in many parts of the brain, heteromers constitute ≥50% of all functional ASICs20. The relative quantities of ASIC2a and ASIC3 proteins in individual DRG neurons is unknown and may vary from neuron to neuron. Irrespective of these uncertainties, our results suggest that the expression of ASIC2a relative to ASIC3 needs to be more tightly tuned than the relative expression of ASIC2a and ASIC1a, to avoid the formation of the low-sensitivity ASIC2a/3 heteromer with the 2:1 stoichiometry. Preferential assembly of the ASIC2a/3 heteromer with the 1:2 stoichiometry (ASIC2a:3) would be one way to avoid this problem. Whether the heteromer with the 2:1 stoichiometry exists in DRG neurons, whether it even provides these neurons with a selective advantage to tune the sensitivity of their ASICs or whether this heteromer has a different functional role than acid-sensing are open questions that need to be determined in the future.

Methods

Plasmids and RNA synthesis

For all experiments, the rat orthologs of ASIC1a, ASIC2a, or ASIC3 were used. Capped cRNA was synthesized in vitro with the mMessage mMachine kit using the SP6 RNA polymerase (Ambion, Austin, TX). All plasmids used in this study are available from the corresponding author upon reasonable request.

Generation of concatemeric ASICs

First, using PCR we generated constructs harboring single ASIC1a, ASIC2a or ASIC3 subunits flanked by linker sequences and restriction sites. These constructs were cloned into pBluescript II KS(-) and verified by Sanger sequencing. Next, these constructs were joined to the desired concatemer. First, the construct containing the central subunit of a desired concatemer was subcloned into the oocyte expression vector pRSSP (see Supplementary Figure 2, SacII/KpnI). The construct containing the last subunit (position 3, SpeI/XmaI) and the construct containing the first subunit (position 1, NotI/XbaI) were added by subcloning to yield a plasmid containing the complete concatemer. Success of the subcloning steps were checked by restriction digestion and agarose gel-electrophoresis. The linker sequences were as follows (protein sequences): between first and second subunit: GRSRAGSAGSAGSAGSAGS; between second and third subunit: CRTSAGSAGSAGSAGSAGS.

Some minor changes were introduced into the constructs containing ASIC2a or ASIC3 compared with ASIC1a. First, a Kozak-sequence from the Alfalfa mosaic virus was inserted prior to the initial start codon36, and second, sequences prior to the start-codons of subunits two and three were adjusted to be as different as possible from Kozak-sequences. In constructs with polyhistidine-tags, seven histidines were inserted after the methionine.

Handling of Xenopus laevis oocytes

Animal care and surgery of frogs were conducted under protocols approved by the State Office for Nature, Environment and Consumer Protection (LANUV) of North Rhine-Westfalia (NRW), Germany, and were performed in accordance with LANUV NRW guidelines. The procedure included surgical extraction of oocytes from female Xenopus laevis frogs, and enzymatic treatment with collagenase type 2. Healthy stage V or VI oocytes were selected and injected with cRNA encoding ASIC subunits or concatemers, followed by incubation in Oocyte Ringer 2 (OR-2) medium at 19 °C for 24–72 h. OR-2 medium contained (in mM): 82.5 NaCl, 2.5 KCl, 1.0 Na2HPO4, 5.0 HEPES, 1.0 MgCl2, 1.0 CaCl2, supplemented with 0.5 g/l polyvinylpyrrolidone, 1000 U/l penicillin and 10 mg/l streptomycin; the pH was adjusted to 7.3.

If not stated otherwise, the following amounts of cRNA were injected for the respective ion channel constructs (in ng per oocyte): 0.02–0.08 for wild-type ASIC1a, 0.66–3.3 for wild-type ASIC2a, wild-type ASIC3 and ASIC2a/3 heteromers, 0.12–20 for ASIC1a concatemers, and 15–25 for ASIC2a-ASIC3 concatemers. In experiments with mutant subunits (Fig. 6), to obtain predominantly heteromeric channels ~4–10 ng of cRNA in the following ratios were injected: ASIC2a:ASIC3 = 1:5; ASIC2a(H73N):ASIC3 = 1:2.5; ASIC2a:ASIC3(H72N_H73N) = 1:10; ASIC2a(H73N):ASIC3(H72N_H73N) = 1:5. Thus, the relative amount of a mutant cDNA was doubled relative to the ratio of 1:5 for ASIC2a:ASIC3, which showed a high proportion of putative heteromers, to account for the inactivity of homomeric mutant channels. For biochemical detection of concatemers (Supplementary Fig. 1), the following amounts of cRNA were injected (in ng per oocyte) in the order of the figure from left group no. 1 (ASIC2a) to right group no. 10 (ASIC3): 64, 36, 63, 52, 76, 33, 29, 21, 32, 62.

Electrophysiology

For two-electrode voltage clamp, the Turbo Tec 03X amplifier (npi electronic, Tamm, Germany) was used. Experiments were performed at a holding potential of −70 mV and at room temperature (21–23 °C). The solution exchange was carried out with the help of a pump system controlled by the software Cellworks (version 5.5.1; npi electronic). Within the solution exchange system, oocytes were fixed to a glass capillary via negative pressure to enable insertion of micropipettes filled with 3 M KCl as intracellular electrodes. Proton affinity of activation of ASICs was determined by alternately applying solutions with a pH of 7.4 for 60 s and solutions with stepwise decreasing pHs for 10 s if not stated otherwise. Proton affinity of SSD was determined by alternately pre-conditioning with decreasing pHs (starting from pH 7.4) for 2 min and by applying pH 4.0 for 10 s. Measurements were taken from distinct oocytes if not stated otherwise.

ASIC2a-3 biochemistry

The expressed ASIC proteins were labeled, purified, resolved, and detected using previously described methods37. Briefly, cRNA-injected oocytes were metabolically labeled with L-[35S]methionine (Perkin Elmer NEG009A) overnight at 19 °C. After a subsequent one-day chase period, the oocytes were washed in OR-2, pH 8.5, and the outer surface of intact oocytes was labeled by the membrane-impermeable, amine-reactive infrared dye IR800 NHS ester (LI-COR Biosciences) for 1 h. Oocytes were washed three times in OR-2 to remove unbound IR800 dye and homogenized in 1% digitonin (w/v, Serva Electrophoresis, product no. 19551, water soluble quality) in phosphate-buffered saline, pH 8.0. Digitonin-solubilized ASIC proteins were purified via their His-tag by Ni-NTA chromatography (Qiagen) and immediately resolved by SDS-urea-PAGE on 4–10% acrylamide gradient gels. Wet and dried PAGE gels were scanned for IR800 fluorescence and 35S radioactivity using a LI-COR Odyssey scanner and a PhosphorImager (Storm 820, GE Healthcare), respectively. Unprocessed scans of the gel presented in Supplementary Fig. 1 are shown in Supplementary Fig. 3.

Statistics and reproducibility

We assumed normal distribution of our data but did not formally check for it. The sample sizes (n) indicate the number of individual oocytes. Oocytes originating from at least two different frogs were analyzed; oocytes were randomly allocated to the experimental groups. Results are reported as mean ± SEM, if not stated otherwise, but individual data points are shown on the figures, allowing to assess the variation of the data. P values were determined by ANOVA followed by Tukey’s test. Graphs and electrophysiological traces were plotted with Igor Pro (version 5.0.3, WaveMetrics, Lake Oswego, OR) or ggplot2.

Electrophysiological data were acquired and analyzed using Cellworks reader (version 3.7; npi electronic). Data shown in Figs. 13 were analyzed with a custom script in Igor Pro and subsequently manually checked.

pH-response curves were fit to the Hill equation:

$$I=\frac{I_{{{{{{\rm{max}}}}}}} -I_{0}}{1+{(\frac{{10}^{-{{{{{{\rm{pH}}}}}}}50}}{{10}^{-{{{{{{\rm{pH}}}}}}}}})}^{H}}$$
(1)

where Imax is the maximal current, pH50 the pH at which half-maximal current amplitude was reached, and H the Hill-coefficient.

Data in Fig. 1 and Table 1 were fitted with Igor Pro. Usually, Imax was fixed to 1. Only for activation recordings of ASIC2a homomers and ASIC2a-3 5:1 heteromers, Imax was not fixed, because their activation curves were in a low pH range. Figures show currents that were normalized to the current at pH 5 (ASIC3 homomers) or to the current at pH 4 (all others). In one recording of the 1:10 (ASIC2a:ASIC3) condition, currents were normalized to the current at pH 4.6 as this resulted in a higher quality of fitting. For ASIC2a homomers and ASIC2a/3 5:1 heteromers, data were rescaled to a 0-1 range by dividing by Imax. Data for SSD recordings of homomers was normalized to the current at conditioning pH 7.4, whereas for heteromers, it was normalized to the maximal current for each record.

Data in Figs. 2 and 3 and Table 3 were fitted with R (version 4.0.5; executed within RStudio, version 1.3.1093) using the nlsLM function from the R-package minpack.lm (version 1.2-1). To improve curve fitting, Imax, pH50, and H were constrained. Imax was constrained to a value ≤ 2 in activation recordings or, in SSD recordings, to a value smaller than the highest normalized current of SSD recordings plus 0.1. For ion channels with 2 or 3 ASIC2a subunits we did not regularly observe plateauing of currents in activation recordings. Therefore, these recordings do not contain reliable information on the underlying (or true) maximal current that could be observed when activating with lower pH values. The constraint Imax ≤ 2 then serves as an upper estimate for the underlying (normalized) maximal current, which might lead to estimates of pH50 that are higher than the underlying (true) pH50 values. pH50 and H were constrained to values ≤ 99. Recordings that yielded outliers in pH50 or H were not used in Table 3 and Fig. 3. Outliers were identified using the interquartile range (IQR) method. Data points smaller than Q1 − 1.5 × IQR or larger than Q3 + 1.5 × IQR were therefore considered outliers, where Q1 and Q3 are the first and the third quartile, respectively.

For fitting mixed ASIC populations by the sum of three Hill equations, the following equation was used:

$${{{{{{\rm{current}}}}}}}=s* \left(\frac{{{{{{{\rm{cA}}}}}}}2* {{{{{{\rm{HillA}}}}}}}2\left({{{{{{\rm{pH}}}}}}}\right)}{1+{{{{{{\rm{cA}}}}}}}2+{{{{{{\rm{cA}}}}}}}3}+\frac{{{{{{{\rm{cA}}}}}}}3* {{{{{{\rm{HillA}}}}}}}3\left({{{{{{\rm{pH}}}}}}}\right)}{1+{{{{{{\rm{cA}}}}}}}2+{{{{{{\rm{cA}}}}}}}3}+\frac{{{{{{{\rm{HillHet}}}}}}}\left({{{{{{\rm{pH}}}}}}},\,{{{{{{\rm{Hcoeff}}}}}}},\,{{{{{{\rm{pH}}}}}}}50\right)}{1+{{{{{{\rm{cA}}}}}}}2+{{{{{{\rm{cA}}}}}}}3}\right)$$
(2)

For two of these Hill equations (HillA2 and HillA3) we used the mean values for Imax, pH50, and H as determined for ASIC2a and ASIC3, respectively. For the third Hill equation (HillHet), Imax was set to 1. A scaling parameter, s, was multiplied with the sum of the three Hill equations to allow variations in the maximal currents between different recordings. cA2, cA3, s, Hcoeff, and pH50 were obtained for individual oocytes with the nlsLM function. Relative contributions of the Hill equations were then calculated by the formula \(\frac{x}{1+{{{{{\rm{cA}}}}}}2+{{{{{\rm{cA}}}}}}3}\) where x was replaced by cA2, cA3, or 1 to get the contribution of HillA2, HillA3, or HillHet.

Mixed ASIC populations were additionally fit by the sum of four Hill functions:

$${{{{{{\rm{current}}}}}}}=s* \left(\frac{{{{{{{\rm{HillA}}}}}}}3\left({{{{{{\rm{pH}}}}}}}\right)}{1+{{{{{{\rm{cA}}}}}}}2+{{{{{{\rm{cH}}}}}}}1+{{{{{{\rm{cH}}}}}}}2}+\frac{{{{{{{\rm{cA}}}}}}}2* {{{{{{\rm{HillA}}}}}}}2\left({{{{{{\rm{pH}}}}}}}\right)}{1+{{{{{{\rm{cA}}}}}}}2+{{{{{{\rm{cH}}}}}}}1+{{{{{{\rm{cH}}}}}}}2}\right.\\ \left.+ \frac{{{{{{{\rm{cH}}}}}}}1* {{{{{{\rm{HillH}}}}}}}1\left({{{{{{\rm{pH}}}}}}}\right)}{1+{{{{{{\rm{cA}}}}}}}2+{{{{{{\rm{cH}}}}}}}1+{{{{{{\rm{cH}}}}}}}2}+\frac{{{{{{{\rm{cH}}}}}}}2* {{{{{{\rm{HillH}}}}}}}2\left({{{{{{\rm{pH}}}}}}}\right)}{1+{{{{{{\rm{cA}}}}}}}2+{{{{{{\rm{cH}}}}}}}1+{{{{{{\rm{cH}}}}}}}2}\right)$$
(3)

where HillA3, HillA2, HillH1, and HillH2 are Hill functions representing the ion channel populations ASIC3, ASIC2a, the heteromer with one ASIC2a subunit and the heteromer with two ASIC2a subunits, respectively. cA2, cH1, and cH2 are parameters representing the contribution of each Hill function, and s is a scaling parameter. The parameters of the Hill functions (Imax, pH50, and H of HillA3, HillA2, HillH1, and HillH2) were derived from concatemer recordings. cA2, cH1, cH2, and s were obtained for individual oocytes with the nlsLM function. Relative contributions of the Hill functions were calculated by the formula

$$\frac{x}{1+{{{{{\rm{cA}}}}}}2+{{{{{\rm{cH}}}}}}1+{{{{{\rm{cH}}}}}}2}$$
(4)

where x was replaced by cA2, cH1, cH2, or 1 to get the contribution of HillA2, HillH1, HillH2, or HillA3.

Expected proportions of ion channel subpopulations in the case of co-expression of two subunits and random assembly of the subunits were calculated using the following formulas, where a corresponds to the percentage of expression of ASIC2a and b to the percentage of expression of ASIC3:

proportion of homomeric ASIC2a: a3

proportion of the ASIC2a/3 heteromer with a 2:1 stoichiometry: 3 * (a2) * b;

proportion of the ASIC2a/3 heteromer with a 1:2 stoichiometry: 3 * a * (b2);

proportion of homomeric ASIC3: b3.

The proportions of ion channel subpopulations that would be expected from a random assembly could then be calculated relative to the proportion of ASIC3 subunits.

Time constants of desensitization (τdes) were determined by fitting the current to the following function:

$$I=A_{0}+A_{1}* {e}^{-\frac{t}{{{{{{\rm{\tau }}}}}}{{{{{\rm{des}}}}}}}}$$
(5)

where I is the current at time t, A0 the current component which did not decay, and A1 the current component which did decay. Fitting was performed in R with nlsLM from the package minpack.lm.

Reporting summary

Further information on research design is available in the Nature Portfolio Reporting Summary linked to this article.