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The Journal of Neuroscience, March 1, 2000, 20(5):1675-1684

beta Subunits Modulate Alternatively Spliced, Large Conductance, Calcium-Activated Potassium Channels of Avian Hair Cells

Krishnan Ramanathan, Timothy H. Michael, and Paul A. Fuchs

The Center for Hearing Sciences, Department of Biomedical Engineering and Department of Otolaryngology, Head and Neck Surgery, Johns Hopkins University School of Medicine, Baltimore, Maryland 21205-2195


    ABSTRACT
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

Electrical tuning confers frequency selectivity onto sensory hair cells in the auditory periphery of frogs, turtles, and chicks. The resonant frequency is determined in large part by the number and kinetics of large conductance, calcium-activated potassium (BK) channels. BK channels in hair cells are encoded by the alternatively spliced slo gene and may include an accessory beta  subunit. Here we examine the origins of kinetic variability among BK channels by heterologous expression of avian cochlear slo cDNAs. Four alternatively spliced forms of the slo-alpha gene from chick hair cells were co-expressed with accessory beta  subunits (from quail cochlea) by transient transfection of human embryonic kidney 293 cells. Addition of the beta  subunit increased steady-state calcium affinity, raised the Hill coefficient for calcium binding, and slowed channel deactivation rates, resulting in eight functionally distinct channels. For example, a naturally occurring splice variant containing three additional exons deactivated 20-fold more slowly when combined with beta . Deactivation kinetics were used to predict tuning frequencies and thus tonotopic location if hair cells were endowed with each of the expressed channels. All beta -containing channels were predicted to lie within the apical (low-frequency) 30% of the epithelium, consistent with previous in situ hybridization studies. Individual slo-alpha exons would be found anywhere within the apical 70%, depending on the presence of beta , and other alternative exons. Alternative splicing of the slo-alpha channel message provides intrinsic variability in gating kinetics that is expanded to a wider range of tuning by modulation with beta  subunits.

Key words: calcium-activated potassium channel; electrical tuning; beta subunits; alternative splicing; cochlea; hair cell; avian; chick


    INTRODUCTION
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

Large conductance, calcium-activated potassium (BK) channels play a prominent role in vertebrate hair cell function. BK channels in hair cells may regulate calcium flux at sites of transmitter release (Roberts et al., 1990; Issa and Hudspeth, 1994) as at the neuromuscular junction (Robitaille et al., 1993). In electrically tuned hair cells, BK channels kinetics are the principal determinant of each cell's resonant frequency (Art and Fettiplace, 1987; Hudspeth and Lewis, 1988; Art et al., 1995) and acoustic filtering (Crawford and Fettiplace, 1981). Electrical tuning frequencies vary systematically (tonotopically) along the turtle's basilar papilla (Crawford and Fettiplace, 1980), leading to the remarkable conclusion that the molecular determinants of BK channel kinetics must be tonotopically distributed as well.

BK-dependent electrical tuning also is observed in hair cells of the avian basilar papilla (Fuchs et al., 1988; Fuchs and Evans, 1990) in addition to a gradient in the mechanical properties of the basilar membrane (Gummer et al., 1987). BK channels in chick are encoded by the slo gene (Jiang et al., 1997) originally identified in Drosophila (Atkinson et al., 1991; Adelman et al., 1992) and subsequently in mammals (Butler et al., 1993; Tseng-Crank et al., 1994). The presence of multiple splice sites in slo mRNA makes alternative splicing a candidate mechanism for generating the functional heterogeneity of hair cell BK channels (Navaratnam et al., 1997; Rosenblatt et al., 1997; Jones et al., 1998). However, initial expression studies of chick hair cell slo splice variants in human embryonic kidney 293 (HEK293) cells or oocytes revealed no kinetic differences (Jiang et al., 1997; Michael et al., 1997; Rosenblatt et al., 1997). Furthermore, the expressed slo channels required substantially higher levels of calcium for their activation (especially at negative membrane potentials) than do native hair cell BK channels (Art et al., 1995). Although higher calcium affinities might be found in other splice variants, these inconsistencies imply that native hair cell BK channels may contain other components that combine with and modify the slo-alpha gene product.

Studies of BK channels from smooth muscle have identified an accessory beta  subunit whose co-expression confers increased voltage and calcium sensitivity onto the pore-forming slo-alpha subunit (McManus et al., 1995; Dworetzky et al., 1996; Meera et al., 1996; Saito et al., 1997). An avian homolog of the beta  subunit was shown to be expressed in quail cochlear hair cells (Ramanathan et al., 1999). Co-expression of chick hair cell slo-alpha with quail beta  subunits greatly increased open probability at negative membrane potentials, giving the expressed channels a calcium and voltage sensitivity close to that of native hair cell BK channels. In the present study, we examine beta  modulation of several slo splice variants over a wide range of voltage and calcium concentrations. We estimate the tuning frequencies for eight varieties of BK channel and predict the corresponding position of each gene product along the tonotopically organized basilar papilla of the chick.


    MATERIALS AND METHODS
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

Construction of clones and HEK transfection. alpha 0 (cSlo1, GenBank number U23821) was cloned by homology screening of a chick cochlear cDNA library (Jiang et al., 1997). Chimeric splice variant clones were constructed by inserting "exon-present" RT-PCR products into the alpha 0 cDNA by ligation of the restricted products. Final sequence of each chimeric construct was confirmed using primers upstream of the added exons. Plasmids for expression in the mammalian HEK293 cell line were created by packaging the full-length cDNA clone into pcDNA 3.1 (Invitrogen, Carlsbad, CA). Before recording, cells were propagated in DMEM (Life Technologies, Gaithersburg, MD) supplemented with 10% fetal bovine serum (Life Technologies). Cells were transfected using calcium phosphate precipitation. The mixture included green fluorescent protein (GFP) cDNA (pGreenLantern, Life Technologies) to label transfected cells. Recordings were made 24-48 hr after transfection.

The quail beta  subunit of the slo protein (GenBank accession number U67865) was a gift from C. Sonderegger and K. Bister (University of Innsbruck, Austria). This was subcloned into pCDNA 3.1 for expression in mammalian cells. The bovine beta  subunit was obtained from R. Swanson (Merck, Sharp & Dohme, West Point, PA) (Q28067) (Knaus et al., 1994) and cloned in frame into the pGreenLantern-1 vector to form a chimera with the gene for GFP. The GFP signal was then used to identify cells transfected with the bovine beta  subunit.

RT-PCR using basilar papilla and hair cells. The quail inner ear was harvested to perform RT-PCR experiments to confirm the presence of the beta  subunit in the cochlea. Quail hatchlings were killed, and their basilar papillae were dissected out and immediately frozen in liquid nitrogen. Purification of RNA involved homogenization of each cochlea in 50 µl of Trizol (Life Technologies). After a brief incubation, 25 µl of chloroform was added and mixed thoroughly. The emulsion was then centrifuged at >13,000 × g to separate the aqueous and organic phases. The RNA contained in the aqueous phase was transferred to a clean Eppendorf tube, and 25 µl of isopropanol was added to it. The mixture was again centrifuged at >13,000 × g to precipitate a glassy RNA pellet. Aqueous isopropanol mixture was decanted, and the pellet was washed using chilled 75% ethanol. The RNA pellet was dried and dissolved in 20 µl of RNase free water. RT-PCR experiments were performed using a one-step kit from Life Technologies. Primers spanning the 5'-(agctccgctgcctcacattggg) and 3'-(agtgcctttgttctgtcttggc) untranslated regions of the cDNA were used to amplify slo-beta from quail cochlear tissue.

slo-alpha splice variants were identified initially by RT-PCR of chick brain RNA with primers that spanned ~1000 base pairs near the C terminus of the alpha 0 sequence (referred to originally as cslo1) (Jiang et al., 1997). When the PCR product was run on gels, two bands were identified, one of which was larger than that predicted from the alpha 0 sequence. When isolated, subcloned, and sequenced, this brain PCR product was found to contain a 12 nucleotide insert at site 3 (encoding amino acids SRKR), and an 84 nucleotide insert at site 6 (encoding the 28 amino acid insert AKP... TEL). Some of the clones also contained a nine nucleotide insert at splice site 4 (encoding amino acids IYF). PCR of a chick's cochlear cDNA library, and RT-PCR from cochlear tissue, was next conducted using primers that encompassed the sequences of the site 3 and site 6 inserts (5'-3'-cagaagccgaaagcgtat, 3'-5'-aaggcagaagtttgccaggc). This reaction resulted in two bands that differed by ~200 base pairs. When sequenced the larger product was found to contain the site 4, 61 amino acid exon (IYS... RAF, GenBank sequence AF076268).

A nested PCR strategy was used to identify these same transcripts in single hair cells, as described previously (Lustig et al., 1999). Individual hair cells were microdissected, identified under a compound inverted microscope (Nikon Diaphot), and aspirated into a suction pipette (~3 µM tip opening). Each hair cell was ejected into a microfuge tube containing 10 µl of RNase-free distilled water and RNase inhibitor and immediately frozen on dry ice. After reverse transcription with a specific primer, an initial round of PCR was performed using primers to generate a product that spanned the carboxy half of the transcript. A second round of PCR was then performed using the exon-specific primers listed above. Two bands were identified on gels. The larger of these was sequenced and shown to correspond to the alpha 61 splice variant.

Electrophysiological recordings and analysis. Patch-clamp recordings were performed on inside-out patches with symmetric potassium ion concentrations of 146 mM. All solutions were buffered with 10 mM HEPES and contained 0.5 µM MgCl2. Depending on the required free calcium concentration, 2 mM of an appropriate calcium chelator was titrated with CaCl2. The free calcium concentrations were estimated using Henderson-Hasselbach equations, and the appropriate KD values for the chelating compounds were obtained from Bers et al. (1994). The free concentrations of calcium were confirmed using a calcium electrode (Microelectrodes, Inc., Bedford, NH). Standard calcium solutions for calibration of the electrodes were purchased from World Precision Instruments (Sarasota, FL). The 200 nM calcium solution was buffered with 2 mM EGTA; 1, 2, and 5 µM calcium solutions were buffered with 2 mM Br2BAPTA (Molecular Probes, Portland, OR), and 20 and 50 µM calcium solutions were buffered with 2 mM nitrilo triacetic acid. Unless noted otherwise, all chemicals were obtained from Sigma (St. Louis, MO).

Glass electrodes for patch-clamp recording were pulled from borosilicate glass capillaries (Drummond Scientific Company, Broomall, PA). Electrodes with resistance between 2.5 and 5 MOmega were used. Data were collected using an Axopatch 200A amplifier (Axon Instruments, Foster City, CA) and digitized through an ITC 16 interface (Instrutech Corporation, Great Neck, NY) using Igor Pro 3.1 (Wavemetrics, Lake Oswego, OR) on a Macintosh 8100. Custom macros were written in Igor Pro to analyze the currents and fit the data to user-defined equations. Least square fits to activation and deactivation kinetics were performed in KaleidaGraph (Synergy Software).


    RESULTS
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

slo channel subunits in the avian cochlea

The pore-forming alpha  subunit of BK channels in hair cells is encoded by the slo mRNA, which is subject to alternative splicing (Jiang et al., 1997; Navaratnam et al., 1997; Rosenblatt et al., 1997; Jones et al., 1998, 1999; Ramanathan et al., 1999). We have used a PCR-based cloning strategy to identify and sequence alternative exons found at three splice sites in the hair cell slo cDNA. Initial RT-PCR studies were conducted using mRNA isolated from chick brain to identify candidate alternative exons. PCR using a chick's cochlear cDNA library, as well as reverse-transcribed cDNA from individual hair cells, confirmed the presence of a number of alternative exons in hair cell slo cDNA. A 4 amino acid insert at splice site 3, a 61 amino acid insert at site 4, and a 28 amino acid exon at site 6 were used in the present study (Fig. 1). Splice sites are numbered according to Fettiplace and Fuchs (1999).



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Figure 1.   slo-alpha splice variants. A schematic layout of the slo-alpha gene is shown at top. The shaded areas are hydrophobic regions of the protein. The extended C-terminal region (after S6) of the protein houses the calcium binding site and several splice sites (#3-#6). We have examined channels with a four amino acid insert at site #3 (alpha 4), a 61 amino acid insert at site #4 (alpha 61), and a channel with both of these plus a 28 amino acid exon at site #6 (alpha 4-61-28), in addition to the full-length (alpha 0) cloned initially. The amino acid sequences of the different alternative exons are shown in the middle panel. The bottom panel shows the channel types and the exon combinations present in each channel type. Splice sites are numbered according to Fettiplace and Fuchs (1999).

Figure 1 shows a schematic of the slo gene with position, relative size, and amino acid sequence of each alternative exon. PCR products containing individual exons or exon combinations were treated with specific endonucleases and ligated into a full-length cDNA from the cochlear library (Jiang et al., 1997) to produce the set of chimeric alpha  subunits shown in the table in Figure 1. Thus a total of four alpha  subunit splice variants have been examined, and they are named for the "extra" exon(s) that they include. alpha 0 corresponds to "cslo1" (GenBank U23821), which was isolated as a single contiguous cDNA and so corresponds to a naturally occurring channel. In addition, a partial cDNA encoding the three exon combination alpha 4-61-28 was found in brain, in cochlea, and in single hair cells by RT-PCR, whereas an RT-PCR product corresponding to the alpha 4 exon combination was sequenced from brain. It is not known whether a channel like alpha 61 occurs naturally in hair cells, because this insert was obtained by RT-PCR using primers specific to the site 3, 4 amino acid and site 6, 28 amino acid inserts (see Materials and Methods).

Endogenous BK channels may be composed of a combination of pore-forming alpha  and accessory beta  subunits. A beta  subunit of the BK channel was first identified and cloned from bovine smooth muscle (McManus et al., 1995). A putative quail homolog of beta  was identified and isolated by differential screening of quail fibroblasts after oncogenic transformation (Oberst et al., 1997). A chick ortholog of the quail beta  was also described [C. Sonderegger (né Oberst), PhD thesis, University of Innsbruck, Austria]. RT-PCR was used to determine whether this fibroblast gene product also was expressed in the quail basilar papilla (cochlea) (Fig. 2A). RT-PCR from microdissected basilar papilla using beta -specific primers yielded an 800 bp product that when sequenced proved nearly identical to quail beta  (4 of 300 bases differed). This PCR product was then subcloned into a mammalian expression vector for the transfection studies with slo-alpha cDNAs described below.



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Figure 2.   The beta  subunit in bird cochlea. A, Total RNA was extracted from quail cochlear tissue as described in Materials and Methods and was screened for the presence of slo-beta RNA using a single-step RT-PCR assay. Lane 1 is a single round RT-PCR product from quail cochlear tissue; lane 2 is the control experiment, which lacked reverse transcriptase enzyme. The band in lane 1 corresponding to ~800 bp is the expected size of the slo-beta product between the two primers. B, The phylogenetic tree for beta  subunits of BK channels shows that the avian isoforms are nearly identical to each other and that mammalian isoforms have significant homology. However, mammalian and avian beta  subunits shared only 41% of the amino acids. C, Bovine beta  subunits had an effect that was qualitatively like that of quail beta  subunits on alpha 0. The bar plot shows the half-activation voltage at 5 µM Ca2+ and the time constant of deactivation of tails at -100 mV membrane potential at 5 µM Ca2+ for alpha 0 co-expressed independently with quail or bovine beta  subunits. Open bars show the shift in V1/2 when comparing alpha 0 alone with alpha 0beta . Filled bars show the change in the deactivation time constant of alpha 0beta channels as a ratio with that of alpha 0 alone. The change in steady-state and kinetic parameters attributable to beta  addition was larger with slo-beta bovine than with slo-beta quail.

Avian (quail) beta  was initially identified on the basis of a Blast search that showed sequence similarity to only one entity in GenBank: the mammalian slo-beta gene (Oberst et al., 1997). However, the level of identity is not very high; only 40% of the amino acids are shared in quail and bovine beta  sequences (Fig. 2B). On the other hand, hydrophobicity analysis suggests a similar topology (Oberst et al., 1997), with two putative transmembrane segments (Wallner et al., 1996) separated by an extracellular loop, implying conserved secondary and tertiary structure of the mammalian and avian proteins and perhaps shared function. To test this suggestion further, bovine and quail beta  subunits were compared for their functional effects when co-expressed with chick slo-alpha channels. Co-expression with either beta  subunit resulted in BK channels with more negative voltage activation ranges and slowed deactivation kinetics (Fig. 2C). However, the mammalian beta  subunit produced significantly larger effects. The average shifts in the voltage of half-activation (Delta V1/2) in 5 µM calcium produced by quail and bovine beta  were 55 and 70 mV, respectively. The time constant of deactivation was increased 20-fold by bovine beta , compared with only a 12-fold increase with quail beta . The methods used to derive these values will be described in the following sections.

beta modulation of BK voltage dependence

BK potassium channel gating properties were studied under voltage clamp while inside-out membrane patches from HEK 293 cells were exposed to an array of different calcium concentrations. Each patch contained tens to hundreds of channels. The plasmid coding for the beta  subunit was transfected in excess (twofold DNA by weight), thereby maximizing beta  interaction with the pore-forming alpha  subunits. The following experiments examine the nature of the effect of the beta  subunit on the backbone (no added exons) BK channel (alpha 0). First, the steady-state properties were examined to determine open probabilities as a function of calcium concentration and membrane voltage, and then the kinetics of activation and deactivation were compared.

Figure 3A illustrates the growth in current magnitude through alpha 0 channels during a family of depolarizing voltage commands. The steady-state open probability of the channels (plotted as a function of voltage) obeyed a Boltzmann distribution between open and closed states (Fig. 3B). alpha 0 activated at more negative membrane potentials as the concentration of "cytoplasmic" calcium was increased. On co-expression, alpha 0beta activated at more negative membrane potentials than did alpha 0 when exposed to the same concentration of calcium (Fig. 4). Thus G(V) curves for alpha 0beta channels (Fig. 4B) are left shifted compared with those for alpha  alone (Fig. 3B).



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Figure 3.   Gating of alpha 0 channels. Inside-out patches from HEK293 cells containing BK channels formed by alpha -subunits alone (alpha 0) were exposed to different concentrations of calcium. Voltage protocols used to test the steady-state open probability were designed to span the activation range of the channel for each calcium concentration. A, Currents from one inside-out patch exposed to 5 µM Ca2+. The activation voltage ranges from 0 to +100 mV (in steps of 10 mV), and deactivating tail currents were measured at -50 mV. Instantaneous currents at the onset of the tail voltage were used as an estimate of the conductance of the channels in the patch. B, Four different calcium concentrations (0.2, 1, 5, and 25 µM) were tested. G/Gmax was fit with a Boltzmann distribution between closed and open states (Eq. 1). The leftward shift in G-V relationships with increasing concentrations of calcium on the "cytoplasmic" side of the channels illustrates the calcium and voltage dependence of the BK channel.



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Figure 4.   Gating of alpha 0beta channels. Patches containing BK channels formed by co-expressing both alpha 0 and beta  (henceforth referred to as alpha 0beta ) were subject to voltage protocols as in Figure 3. A, Currents across the patch exposed to 5 µM Ca2+ for activation voltages ranging from -100 to +100 mV (steps of 10 mV). Tail currents were measured at -100 mV. B, G-V relationships obtained at four different calcium concentrations (1, 5, 25, and 50 µM) were fit with Boltzmann functions described in Equation 1. Notice that alpha 0beta activates at more negative voltages than does alpha  alone, and increasing the calcium concentration causes a greater leftward shift in the activation curve for alpha 0beta .

Half-activation voltage (V1/2) at each calcium concentration was calculated by fitting the steady-state fractional activation curve with Boltzmann functions:
<FR><NU>G</NU><DE>G<SUB><UP>max</UP></SUB></DE></FR>=<FR><NU>1</NU><DE>1+<UP>exp</UP>(<UP>−</UP>(V−V<SUB>1/2</SUB>)qF/RT)</DE></FR> (1)
where V1/2 is the voltage at which half the channels are open, and q is the amount of gating charge. F, R, and T are Faraday's constant, the universal gas constant, and the absolute temperature, respectively. The effect of co-expressing beta  subunits was to shift activation to more negative voltages (Fig. 5A). Gating charge (q) in these fits varied between 1.4e and 2.0e, but no consistent difference in gating charge between alpha 0 and alpha 0beta was found.



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Figure 5.   The effect of calcium on voltage gating. Average (n > 10) half-activation voltages (V1/2) were estimated from Boltzmann fits to G-V relationships for different cytoplasmic calcium concentrations (Figs. 3, 4). Standard error bars are comparable to the size of the symbols used. The line is a least squares fit to (V1/2 = A * log[Ca2+] + B). alpha 0beta showed a higher steady-state affinity and a greater sensitivity to calcium than did alpha 0. B, G/Gmax (as measured in Figs. 3, 4) for alpha 0 and alpha 0beta at -50 mV is plotted as a function of the calcium concentration. The results are from a single experiment in which all calcium conditions were used. Six different concentrations of calcium were used (200, 1, 5, 25, 50, and 200 µM). The points were fit with a Hill equation (Eq. 5) to obtain the concentration of calcium necessary to open half of the channels (KD) and the Hill coefficient (n). C, Same analysis at +50 mV. The effect of beta  addition was greater at -50 mV than at +50 mV.

Comparison of calcium sensitivities

The goal here is to examine the calcium and voltage-dependent gating properties of alpha 0 and alpha 0beta using a simple two-state model in an effort to extract parameters that can be used to compare the different channel types. The model assumes that voltage- dependent binding of calcium as a first order process leads to channel opening:
(2)
k1 and k-1 are the forward and reverse rates for the binding of calcium at 0 mV, and delta  is an expression for the energy consumed in the binding process. Using Scheme 2, the activation of the channel may be defined as a function of calcium concentration:
<FR><NU>G</NU><DE>G<SUB><UP>max</UP></SUB></DE></FR>=<FR><NU>1</NU><DE>1+<FR><NU>K<SUB><UP>D</UP></SUB>(0)<UP>exp</UP>(<UP>−</UP>2&dgr;FV/RT)</NU><DE>[<UP>Ca</UP><SUP><UP>2+</UP></SUP>]</DE></FR></DE></FR>. (3)
The steady-state calcium affinity KD(0) is the ratio of k-1 to k1 (the concentration of calcium needed to open half of the channels at a membrane voltage of 0 mV). Equation 3 can be rearranged to represent the half-activation voltage (V1/2) as a logarithmic function of calcium concentration (Eq. 4) (Cui et al., 1997):
V<SUB>1/2</SUB>=<UP>−</UP><FR><NU>2.303RT</NU><DE>2&dgr;F</DE></FR> <UP>log</UP>([<UP>Ca</UP><SUP><UP>2+</UP></SUP>])+<FR><NU>2.303RT</NU><DE>2&dgr;F</DE></FR> <UP>log</UP>[K<SUB><UP>D</UP></SUB>(0)]. (4)
V1/2 is plotted as a function of calcium concentration for alpha 0 and alpha 0beta in Figure 5A. The coefficients of the straight line fit in Figure 5A were compared with the parameters in Equation 4 to determine the values of KD(0) and delta  for each type of channel. Addition of the beta  subunit lowered the concentration of calcium needed to open half of the channels at 0 mV [KD(0)]. In the absence of beta  subunit, the KD(0) was 24 µM, and the addition of the beta  subunit reduced it to 3.3 µM. delta  was simultaneously reduced from 0.5 to 0.3 by beta  addition. The difference between the two species of channels can be explained by a mechanism whereby beta  increases the apparent calcium sensitivity of alpha 0.

Fractional activation (G/Gmax) as a function of calcium concentration was fit with Hill relations to determine the calcium dependence of steady-state activation of both channels (Fig. 5B,C). Near the hair cell resting membrane potential of -50 mV, the half-activating calcium concentration (KD) for alpha 0 was 57.2 µM. In contrast, alpha 0beta was half-activated by 5.9 µM calcium at -50 mV (Fig. 5B). At +50 mV, alpha 0 was half-activated with 2.05 µM calcium, and alpha 0beta was half-activated with 1.18 µM calcium (Fig. 5C). The beta  subunit enhanced the calcium sensitivity of the BK channel and that effect was more pronounced at negative membrane potentials:
<FR><NU>G</NU><DE>G<SUB><UP>max</UP></SUB></DE></FR>=<FR><NU>1</NU><DE>1+<FENCE><FR><NU>K<SUB><UP>D</UP></SUB></NU><DE>[<UP>Ca</UP><SUP><UP>2+</UP></SUP>]</DE></FR></FENCE><SUP><UP>n</UP></SUP></DE></FR>. (5)
KD is the calcium concentration needed to open half of the channels, and n is the Hill coefficient. The parameters of these fits are listed in Table 1. The stoichiometry of calcium binding to the channels is derived from the Hill Equation 5. The Hill coefficient of alpha 0beta channels at -50 mV was 2.4, whereas that of alpha 0 was 1.4. Table 1 shows values from single experiments in which a sufficient range of calcium concentrations could be tested. However, the generality of this conclusion is supported by the data in Figure 5A averaged from >10 experiments. The slope of the relation between V1/2 and calcium concentration differs significantly between the two channel types, consistent with a steeper dose-response relation to calcium for the alpha 0beta channel.


                              
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Table 1.   Calcium binding

Effects of beta  on kinetics

BK channels are activated by voltage and calcium transients (Marrion and Tavalin, 1998). This makes it important to study the kinetic behavior of the channel as well as the steady-state activation and open probability. More importantly, hair cell tuning frequencies have an intimate dependence on the deactivation kinetics of BK channels expressed in each hair cell (Art et al., 1995).

To study deactivation kinetics, "tail" currents were recorded at various relaxation voltages for alpha 0 and alpha 0beta (Fig. 6, A and B, respectively). Under steady-state conditions, alpha 0beta binds calcium more tightly than alpha 0, as evidenced by higher KD values (Table 1). Because calcium binding tends to keep the channels open (from the two-state model in Eq. 2), we would predict that the greater calcium sensitivity of alpha 0beta produces a longer dwell time in the open state, and so it would deactivate more slowly. Experiments to determine the rate of relaxation under identical calcium concentrations showed that alpha 0beta deactivated slowly when compared with alpha 0 (Fig. 6). The addition of beta  subunits prolonged the rate of relaxation >10-fold. The time constant of relaxation had an exponential dependence on the membrane voltage for both channels, indicating a concerted voltage-dependent rate of transition from the open to closed state. Higher concentrations of calcium prolonged the relaxation time constant (Fig. 7).



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Figure 6.   Effect of beta  subunit on deactivation time constant. A, Currents were measured from a macro patch containing alpha 0. The channels were activated with a brief depolarization to +120 mV and then allowed to relax at a family of voltages ranging from -50 to -120 mV in steps of 10 mV. The panel shows decaying "tail" currents at a calcium concentration of 5 µM. The time constant of deactivation was determined by fitting single exponential functions of the form I = I0exp(-t/tau ), where I0 is the instantaneous current at the beginning of the deactivation pulse and tau  is the time constant. B, Patches containing alpha 0beta were stepped to +60 mV and thereafter from -80 to -150 mV. Notice the substantial slowing of the tail currents (changed scale bar on x-axis) on beta  addition. Tail currents were slowed >10-fold by the addition of beta  subunits.



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Figure 7.   Deactivation time constants at different membrane potentials in 1 µM (a) and 5 µM (b) calcium. Time constants were calculated from single exponential fits to tail currents as in Figure 8. The data points were fit with an exponential function given by tau  = tau 0exp(qbFV/RT), where tau 0 is the time constant at 0 mV and qb is the gating charge associated with the dependence of deactivation on membrane voltage [qb values for alpha 0 and alpha 0beta were 0.54 ± 0.08 and 0.76 ± 0.12 for 1 µM (Ca2+); 0.58 ± 0.10 and 0.80 ± 0.14 for 5 µM (Ca2+), respectively]. beta  co-expression causes slower deactivation at all membrane potentials and both calcium concentrations.

beta modulation of alpha  splice variants

Thus far we have described some of the mechanistic features of channel diversity by examining the effects of combining beta  subunits with just one alpha  subtype (alpha 0). In an effort to extend our understanding, we undertook a similar analysis of three other alpha  splice variants (alpha 4, alpha 61, and alpha 4-61-28) (Fig. 1) and their modulation by beta  subunits. Steady-state conductance-voltage curves in varying calcium concentrations (as in Figs. 3 and 4) were constructed and used to determine the calcium affinity for each channel type (KD, defined as the concentration of calcium that opens half of the channels at 0 mV). The alpha  subunits expressed on their own exhibited substantial variation in calcium binding, ranging from nearly 40 µM for alpha 4 to 6 µM for alpha 61. After combination with beta  subunits, all of the channels had significantly higher calcium affinities (2-10 µM). The alpha 0 and alpha 4 channels had the weakest calcium affinity on their own and showed the largest changes after beta  combination (Fig. 8A). Splice variants containing the 61 amino acid exon had greater calcium affinity and were less affected by beta  combination. alpha 4-61-28 had a poorer calcium affinity than did alpha 61, as though it were an amalgam of the higher affinity alpha 61 and lower affinity alpha 4 calcium binding properties.



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Figure 8.   Calcium affinities at 0 mV (KD) and deactivation time constants were compared for the eight channel types created by four splice variants expressed either with or without beta  subunits. A, KD values for alpha x (filled bars) and alpha xbeta (open bars) channels are shown, where x denotes the different exons. B, Deactivation time constants measured at -100 mV membrane potential and 5 µM "cytoplasmic" calcium for alpha x (filled bars) and alpha xbeta (open bars) channels. The net range in deactivation kinetics between the fastest alpha x and the slowest alpha xbeta is >50-fold. Error bars are standard errors from 5-10 experiments and are shown if they are larger than the width of the lines used in the bar plot.

All four alpha  splice variants had relatively rapid kinetics as homomeric channels. Time constants of deactivation at -100 mV and 5 µM calcium ranged from ~1 to 2.5 msec (Fig. 8B). Both alpha  variants containing the 61 amino acid exon (alpha 61 and alpha 4,61,28) were significantly slower than alpha 0 and alpha 4, which lacked this exon. Combination with beta  subunits dramatically slowed all four channel types. However, the 61 amino acid exon-containing splice variants were more profoundly affected, showing a >20-fold increase in deactivation time constant. The splice variants alpha 0 and alpha 4 were slowed ~10-fold by combination with beta  subunits.

BK channel kinetic diversity and electrical tuning

We have shown that eight functionally distinct BK channels can be generated by a combination of four alternatively spliced alpha  subunits and one beta  subunit. The deactivation rates span a 50-fold range between the fastest and slowest of these heterologously expressed channels, which approximates the variation in kinetics postulated to encompass electrical tuning over the chick's auditory frequency range (Wu and Fettiplace, 1996). Given the kinetic variability of the cloned channels, it would be useful to estimate the tuning frequency that each would confer if expressed by a chick cochlear hair cell. Such an estimate can be obtained by comparing the properties of the cloned channels with those of BK channels in electrically tuned turtle hair cells, with appropriate corrections for the effects of temperature. The relationship between the time constant of deactivation and hair cell tuning frequency for turtle hair cells (Art and Fettiplace, 1987; Wu et al., 1995) is shown in Figure 9A (straight line). The tuning frequency of turtle hair cells is inversely correlated with the square root of the time constant of whole-cell "tail" currents. The time constants of tail currents from cloned chick channels recorded under similar conditions are arrayed along that line to obtain an estimated tuning frequency. The beta -combined channels (open symbols) all cluster at frequencies below 100 Hz, whereas the "alpha -only" channels (filled symbols) span a range of frequencies from 200 to 350 Hz.



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Figure 9.   Estimated tuning frequencies and cochlear position for each of eight BK channel variants. A, The straight line redrawn from Wu et al. (1995) shows the relation between ensemble average single BK channel deactivation time constants and resonant frequency in turtle hair cells. Deactivation time constants for eight channel variants (measured at 4 µM calcium and -50 mV membrane potential) were overlaid to extrapolate a predicted frequency of tuning. B, Tuning frequency as a function of position along the cochlear axis [from Jones and Jones (1995)]. The resonant frequencies estimated from A were corrected for the body temperature of the chick (40°C) using a Q10 value of 2. The corrected frequencies were then mapped to a tonotopic position in the cochlea. The predicted positions are projected as lines across the schematic of the chick basilar papilla (below). The decreasing shade of gray from the cochlear apex is indicative of expression levels of beta  along the tonotopic axis based on results from in situ hybridization (Ramanathan et al., 1999).

Because the experiments on cloned channels and turtle hair cells were conducted at room temperature, it is necessary to make a correction for the higher internal temperature of the chick (40°C) to place these data into the context of the cochlear frequency map. The best frequency of cochlear afferents in pigeons was shown to vary with temperature with a Q10 of 2 (Schermuly and Klinke, 1985), and voltage oscillations in hair cells isolated from the chick's cochlea showed a similar temperature dependence (Fuchs and Evans, 1990). Here we assume that electrical tuning produced by BK channels cloned from chick would show an equivalent temperature sensitivity, increasing the predicted tuning frequency for each channel type approximately fourfold. Finally, those temperature-corrected tuning frequencies were placed onto a cochlear frequency map based on the mapping of single cochlear afferents (Manley et al., 1987; Chen et al., 1994; Jones and Jones, 1995) (Fig. 9B). At 40°C, the predicted tuning frequencies range from 105 to 1250 Hz, and cochlear locations fall from the apical-most 5% to a position nearly 70% of the distance toward the base.

Predicted expression patterns

From these considerations a number of predictions can be made about the expression patterns of the gene products contributing to the hair cell BK channels. The effect of combination with the beta  subunit is to slow BK channel gating kinetics, consistent with low-frequency tuning. Thus higher levels of beta  expression ought to be found in hair cells from the cochlear apex, as indeed has been observed using in situ hybridization (Ramanathan et al., 1999). A hypothetical expression gradient for beta  subunits based on the pattern of in situ hybridization is shown in Figure 9B. What is unknown at present is whether such a gradient would also be found in protein expression, but that will require the future generation of a specific antibody to the beta  protein.

The prediction of cochlear location for alpha  splice variants is less definitive. Each alternative exon contributes to widely separated channels depending on the presence of beta  subunits. In addition, each exon may represent functionally distinct channels depending on which other alternative exons are present in that transcript. So for instance the alpha 4 exon (SRKR) contributes to BK tuning at 1200 Hz when residing alone, but it is part of channels tuned to 950 Hz when combined with the 61 and 28 amino acid exons. Although the effects of splicing alone are modest, the overall prediction from these studies is that individual exons could be found in hair cells from large portions of the sensory epithelium, as has indeed been shown in chicks (Navaratnam et al., 1997; Rosenblatt et al., 1997) and turtles (Jones et al., 1998).


    DISCUSSION
TOP
ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
REFERENCES

Co-expression of avian hair cell slo-alpha splice variants with an accessory beta  subunit slowed channel kinetics and increased the voltage sensitivity when compared with these features of the alpha -only channels. These observations agree with those made in studies of mammalian slo channels (McManus et al., 1995; Vogalis et al., 1996; Saito et al., 1997), including the fact that beta  modulation of steady-state gating was only evident for calcium concentrations >200 nM (Meera et al., 1996). At calcium concentrations 1 µM or higher, beta  co-expression caused a negative shift of the half-activation voltage of hair cell slo channels, as though the effective calcium concentration had been raised. Although this can be quantified as an increase in the apparent calcium sensitivity, the effect of beta  was not equivalent to an increase in calcium concentration. This is evident by considering the effects on activation kinetics. Higher calcium increases both the open probability and the rate of activation (Jiang et al., 1997), whereas beta  co-expression slowed activation rates while increasing steady-state activation (compare activation currents in Figs. 3A, 4A) (Jones et al., 1999). A related distinction between beta  and calcium effects on open probability and gating kinetics also was observed in single-channel studies (Nimigean and Magleby, 1999). The principal action of the beta  subunit was to increase channel burst duration; this stabilization of the bursting state resulted in an apparent increase in calcium sensitivity.

Although the present studies were not designed to determine the mechanism of beta  modulation, some insights are provided by consideration of its interaction with alternative splicing of the alpha  subunit. These alternative exons are in the C terminus of the BK channel that is thought to possess the calcium binding region of the protein (Wei et al., 1994; Schreiber and Salkoff, 1997; Schreiber et al., 1999). Splice variants containing the 61 amino acid exon (alpha 61, alpha 4-61-28) had higher calcium affinity and slower deactivation kinetics. Splice variants without that exon (alpha 0, alpha 4) had lower calcium affinity and more rapid deactivation kinetics. [This is reminiscent of the relationship of "indel length" to activation parameters observed in turtle slo channels (Jones et al., 1999)]. When combined with beta  subunits, splice variants containing the 61 exon underwent a 20-fold slowing of kinetics, but calcium affinity was altered at most twofold. In contrast, channels without the 61 exon had lesser changes in kinetics (10-fold slowing) but greater increases in calcium affinity (approximately fivefold). Clearly, the quantitative effect of the beta  subunit is also influenced by the exon structure of the alpha  subunit with which it combines. In short, beta  altered the relationship between calcium affinity and kinetics, resulting in a convergence of calcium affinities but a dispersal of gating kinetics among these alpha  splice variants. The net result is that beta -combined channels exhibit a wider range of gating kinetics near the resting membrane potential than would alpha -only channels.

It is important to point out that of the cDNAs used here, only alpha 0 is known to exist as a functional mRNA because it was cloned as a complete transcript from a cochlear cDNA library. In addition, however, the alpha 4-61-28 exon combination was amplified and sequenced from the cochlear duct, as well as from individual hair cells, and so is a naturally occurring splice variant. It is worth noting that the kinetics of this channel were slowed 20-fold by beta  combination, whereas the calcium affinity was least changed of all four splice variants (Fig. 8).

beta Modulation and tonotopic gradients

The two mechanisms of generating kinetic diversity in BK channels, alternative splicing and beta  modulation, seem to act via separate mechanisms that complement rather than confound one another. Addition of the 61 amino acid exon at splice site 4 caused an increase in calcium sensitivity and slowed the deactivation kinetics, as did the addition of beta  to alpha 0. However, when alpha 61 was combined with beta  subunits, a still higher sensitivity to calcium was achieved, as was a more dramatic slowing of the deactivation rate. The change in the deactivation time constant between splice variants was in fact exaggerated by the addition of beta  (2.5-fold between alpha 0 and alpha 61 versus fivefold between alpha 0beta and alpha 61beta ). Thus, the beta  subunit acts as a molecular lever, extending the specific gating characteristics of each BK channel to a longer time frame. This is consistent with the effect of the bovine beta  subunit on turtle hair cell slo-alpha channels observed by Jones et al. (1999). Therefore, both mechanisms, alternative splicing and beta  modulation, are available for producing kinetic heterogeneity in hair cell BK channels.

A model for chick electrical tuning derived by extending the kinetic properties of turtle hair cell BK channels to higher frequencies suggests that this mechanism could operate at up to 4000 Hz (Wu et al., 1995). However, the BK channels described here predict electrical tuning frequencies up to only 1250 Hz (at 40°C). Still higher frequencies might be enabled by yet unknown BK subtypes. It is clear that additional splice variants of chick slo-alpha remain to be characterized (Navaratnam et al., 1997; Rosenblatt et al., 1997) and might include shorter forms with faster gating kinetics like those described in turtle (Jones et al., 1999). Also, other beta  subunits with different function could exist, as suggested by the significant differences in sequence and effect between avian and mammalian beta  as well as by novel mammalian beta  subunits (Wallner et al., 1999).

What regulatory mechanisms lead to the tonotopic distribution of channel kinetics that underlies electrical tuning? The present results suggest a process whereby both transcriptional and post-transcriptional gene regulation together generate the gradients in channel kinetics of avian cochlear hair cells. How are these different gene products combined to produce a unique tuning frequency in each hair cell? In situ hybridization in the quail basilar papilla showed that the beta  subunit is expressed in a gradient such that apical (low-frequency) hair cells have higher levels than do basal hair cells (Ramanathan et al., 1999). Thus, one possibility is that beta  subunits are "titrated" into a population of slo channels to produce different tuning frequencies. Co-expression of turtle slo channels with bovine beta  subunits showed that the effects of beta  combination were "all or none," resulting in channels that either were alpha -only in behavior or showed the entire beta  effect (Jones et al., 1999). Partial effects of beta  were not observed on these channels. Thus, a beta  expression gradient along the length of the cochlea might result in hair cells in which the ratio of alpha  to alpha beta channels varies. How might such "chimeric" hair cells behave? Can a kinetically heterogeneous population of channels produce unique tuning properties in one hair cell? The same question applies to the expression of multiple alpha  splice variants in single hair cells, although here the kinetic differences between channels are not so dramatic. Answers to these questions can be provided by quantitative models of hair cells based on the properties of channels described here.


    FOOTNOTES

Received Aug. 25, 1999; revised Dec. 10, 1999; accepted Dec. 13, 1999.

This work was supported by Grant DC00276 from the National Institute on Deafness and Other Communication Disorders. We thank Dr. G.-J. Jiang for the cloning and construction of cSlo splice variants, Dr. Corinna Sonderegger for the quail beta  subunit, and Dr. R. Swanson for the bovine beta  subunit. We also thank Drs. M. Zidanic and J. B. Yang for PCR identification of alternate exons in chick hair cells.

Correspondence should be addressed to Paul Fuchs, Center for Hearing Science, Traylor Research Building, Room 521, Johns Hopkins University School of Medicine, Baltimore, MD 21205. E-mail: pfuchs{at}bme.jhu.edu.


    REFERENCES
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ABSTRACT
INTRODUCTION
MATERIALS AND METHODS
RESULTS
DISCUSSION
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J. S. Cameron and S. E. Dryer
BK-Type KCa Channels in Two Parasympathetic Cell Types: Differences in Kinetic Properties and Developmental Expression
J Neurophysiol, December 1, 2000; 84(6): 2767 - 2776.
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