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The Journal of Neuroscience, March 1, 2000, 20(5):1675-1684
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
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ABSTRACT |
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 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- gene from chick hair cells were co-expressed with accessory subunits (from quail cochlea) by transient
transfection of human embryonic kidney 293 cells. Addition of the 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 . Deactivation
kinetics were used to predict tuning frequencies and thus tonotopic
location if hair cells were endowed with each of the expressed
channels. All -containing channels were predicted to lie within the
apical (low-frequency) 30% of the epithelium, consistent with previous in situ hybridization studies. Individual
slo- exons would be found anywhere within the
apical 70%, depending on the presence of , and other alternative
exons. Alternative splicing of the slo- channel
message provides intrinsic variability in gating kinetics that is
expanded to a wider range of tuning by modulation with subunits.
Key words:
calcium-activated potassium channel; electrical tuning; subunits; alternative splicing; cochlea; hair cell; avian; chick
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INTRODUCTION |
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-
gene product.
Studies of BK channels from smooth muscle have identified an accessory
subunit whose co-expression confers increased voltage and calcium
sensitivity onto the pore-forming slo- subunit (McManus et al., 1995 ; Dworetzky et al., 1996 ; Meera et al., 1996 ; Saito et al.,
1997 ). An avian homolog of the subunit was shown to be expressed in
quail cochlear hair cells (Ramanathan et al., 1999 ). Co-expression of
chick hair cell slo- with quail 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 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.
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MATERIALS AND METHODS |
Construction of clones and HEK transfection.
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
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 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 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 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 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- from quail cochlear tissue.
slo- 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 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 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
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 M 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).
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RESULTS |
slo channel subunits in the avian cochlea
The pore-forming 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- splice variants. A
schematic layout of the slo- 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
( 4), a 61 amino acid insert at site
#4 ( 61), and a channel with both
of these plus a 28 amino acid exon at site #6
( 4-61-28), in addition to the full-length
( 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) .
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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 subunits shown in the table in Figure 1. Thus a total of
four subunit splice variants have been examined, and they are named
for the "extra" exon(s) that they include. 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
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 4 exon combination was sequenced from
brain. It is not known whether a channel like
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
and accessory subunits. A subunit of the BK channel was
first identified and cloned from bovine smooth muscle (McManus et al.,
1995 ). A putative quail homolog of was identified and isolated by
differential screening of quail fibroblasts after oncogenic
transformation (Oberst et al., 1997 ). A chick ortholog of the quail 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 -specific primers yielded an
800 bp product that when sequenced proved nearly identical to quail (4 of 300 bases differed). This PCR product was then subcloned into a
mammalian expression vector for the transfection studies with
slo- cDNAs described below.

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Figure 2.
The 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- 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- product between the two primers.
B, The phylogenetic tree for 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 subunits shared only 41% of the amino acids.
C, Bovine subunits had an effect that was
qualitatively like that of quail subunits on 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 0
co-expressed independently with quail or bovine subunits.
Open bars show the shift in
V1/2 when comparing 0 alone
with 0 . Filled bars show the change in
the deactivation time constant of 0 channels as a
ratio with that of 0 alone. The change in steady-state
and kinetic parameters attributable to addition was larger with
slo- bovine than with
slo- quail.
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Avian (quail) was initially identified on the basis of a Blast
search that showed sequence similarity to only one entity in GenBank:
the mammalian slo- 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 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 subunits were
compared for their functional effects when co-expressed with chick
slo- channels. Co-expression with either subunit
resulted in BK channels with more negative voltage activation ranges
and slowed deactivation kinetics (Fig. 2C). However, the
mammalian subunit produced significantly larger effects. The
average shifts in the voltage of half-activation ( V1/2) in 5 µM calcium produced by quail and bovine were 55 and 70 mV, respectively. The time constant of deactivation was increased 20-fold by bovine , compared with only a 12-fold increase with quail . The methods used to derive these values will be described in the following sections.
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 subunit
was transfected in excess (twofold DNA by weight), thereby maximizing
interaction with the pore-forming subunits. The following
experiments examine the nature of the effect of the subunit on the
backbone (no added exons) BK channel ( 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 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). 0 activated at more negative membrane potentials as the concentration of "cytoplasmic" calcium was increased. On co-expression, 0
activated at more negative membrane potentials than did
0 when exposed to the same concentration of
calcium (Fig. 4). Thus
G(V) curves for
0 channels (Fig. 4B) are
left shifted compared with those for alone (Fig.
3B).

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Figure 3.
Gating of 0 channels. Inside-out
patches from HEK293 cells containing BK channels formed by -subunits
alone ( 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 0 channels. Patches
containing BK channels formed by co-expressing both 0
and (henceforth referred to as 0 ) 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
0 activates at more negative voltages than does alone, and increasing the calcium concentration causes a greater
leftward shift in the activation curve for 0 .
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Half-activation voltage (V1/2) at each
calcium concentration was calculated by fitting the steady-state
fractional activation curve with Boltzmann functions:
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(1)
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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 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
0 and 0 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). 0 showed a
higher steady-state affinity and a greater sensitivity to calcium than
did 0. B,
G/Gmax (as measured in Figs.
3, 4) for 0 and 0 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 addition was greater at 50 mV than at
+50 mV.
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Comparison of calcium sensitivities
The goal here is to examine the calcium and voltage-dependent
gating properties of 0 and
0 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:
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(2)
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k1 and
k 1 are the forward
and reverse rates for the binding of calcium at 0 mV, and
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:
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(3)
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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 ):
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(4)
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V1/2 is plotted as a function of
calcium concentration for 0 and
0 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 for
each type of channel. Addition of the subunit lowered the
concentration of calcium needed to open half of the channels at 0 mV
[KD(0)]. In the absence of subunit, the KD(0) was 24 µM, and the addition of the subunit reduced
it to 3.3 µM. was simultaneously
reduced from 0.5 to 0.3 by addition. The difference between the two
species of channels can be explained by a mechanism whereby increases the apparent calcium sensitivity of
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
0 was 57.2 µM. In
contrast, 0 was half-activated by 5.9 µM calcium at 50 mV (Fig. 5B). At
+50 mV, 0 was half-activated with 2.05 µM calcium, and 0
was half-activated with 1.18 µM calcium (Fig.
5C). The subunit enhanced the calcium sensitivity of the
BK channel and that effect was more pronounced at negative membrane
potentials:
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(5)
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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 0 channels at 50 mV was
2.4, whereas that of 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
0 channel.
Effects of 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 0 and
0 (Fig. 6,
A and B, respectively). Under steady-state
conditions, 0 binds calcium more tightly
than 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
0 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 0 deactivated slowly when compared
with 0 (Fig. 6). The addition of 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 subunit on deactivation time
constant. A, Currents were measured from a macro patch
containing 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/ ), where
I0 is the instantaneous current at the
beginning of the deactivation pulse and is the time constant.
B, Patches containing 0 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 addition. Tail currents were slowed >10-fold by the addition of 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
= 0exp(qbFV/RT),
where 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 0 and
0 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]. co-expression causes slower deactivation at all
membrane potentials and both calcium concentrations.
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modulation of splice variants
Thus far we have described some of the mechanistic features of
channel diversity by examining the effects of combining subunits with just one subtype ( 0). In an effort to
extend our understanding, we undertook a similar analysis of three
other splice variants ( 4,
61, and 4-61-28)
(Fig. 1) and their modulation by 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 subunits expressed on their own exhibited substantial
variation in calcium binding, ranging from nearly 40 µM for 4 to 6 µM for 61. After
combination with subunits, all of the channels had significantly
higher calcium affinities (2-10 µM). The
0 and 4 channels had
the weakest calcium affinity on their own and showed the largest
changes after combination (Fig.
8A). Splice variants
containing the 61 amino acid exon had greater calcium affinity and were
less affected by combination. 4-61-28 had
a poorer calcium affinity than did 61, as
though it were an amalgam of the higher affinity
61 and lower affinity 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 subunits.
A, KD values for
x (filled bars) and
x (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
x (filled bars) and
x (open bars) channels. The net range
in deactivation kinetics between the fastest x and the
slowest x 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.
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All four 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 variants containing the 61 amino acid
exon ( 61 and 4,61,28) were significantly slower than 0 and
4, which lacked this exon. Combination with
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 0 and
4 were slowed ~10-fold by combination with
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 subunits
and one 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 -combined channels (open symbols)
all cluster at frequencies below 100 Hz, whereas the
" -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 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 subunit
is to slow BK channel gating kinetics, consistent with low-frequency
tuning. Thus higher levels of 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 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 protein.
The prediction of cochlear location for splice variants is less
definitive. Each alternative exon contributes to widely separated
channels depending on the presence of 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 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 |
Co-expression of avian hair cell slo- splice
variants with an accessory subunit slowed channel kinetics and
increased the voltage sensitivity when compared with these features of
the -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 modulation of steady-state gating was only evident for calcium
concentrations >200 nM (Meera et al., 1996 ). At
calcium concentrations 1 µM or higher, 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 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 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 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 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 modulation, some insights are provided by
consideration of its interaction with alternative splicing of the 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 ( 61, 4-61-28)
had higher calcium affinity and slower deactivation kinetics. Splice
variants without that exon ( 0,
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 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 subunit is also influenced by the exon structure of the subunit
with which it combines. In short, altered the relationship between
calcium affinity and kinetics, resulting in a convergence of calcium
affinities but a dispersal of gating kinetics among these splice
variants. The net result is that -combined channels exhibit a wider
range of gating kinetics near the resting membrane potential than would -only channels.
It is important to point out that of the cDNAs used here, only
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 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 combination, whereas the calcium affinity
was least changed of all four splice variants (Fig. 8).
Modulation and tonotopic gradients
The two mechanisms of generating kinetic diversity in BK
channels, alternative splicing and 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 to 0. However, when
61 was combined with 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 (2.5-fold between 0 and
61 versus fivefold between
0 and 61 ).
Thus, the 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 subunit on turtle hair
cell slo- channels observed by Jones et al. (1999) .
Therefore, both mechanisms, alternative splicing and 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- 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 subunits with
different function could exist, as suggested by the significant
differences in sequence and effect between avian and mammalian as
well as by novel mammalian 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 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 subunits
are "titrated" into a population of slo channels to
produce different tuning frequencies. Co-expression of turtle
slo channels with bovine subunits showed that the
effects of combination were "all or none," resulting in
channels that either were -only in behavior or showed the entire effect (Jones et al., 1999 ). Partial effects of were not observed
on these channels. Thus, a expression gradient along the length of
the cochlea might result in hair cells in which the ratio of to
 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 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 subunit, and Dr. R. Swanson for the bovine 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.
 |
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C. E Armstrong and W. M Roberts
Rapidly inactivating and non-inactivating calcium-activated potassium currents in frog saccular hair cells
J. Physiol.,
October 1, 2001;
536(1):
49 - 65.
[Abstract]
[Full Text]
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V. K. Gribkoff, J. E. Starrett Jr., and S. I. Dworetzky
Maxi-K Potassium Channels: Form, Function, and Modulation of a Class of Endogenous Regulators of Intracellular Calcium
Neuroscientist,
April 1, 2001;
7(2):
166 - 177.
[Abstract]
[PDF]
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S. Parameshwaran, C. E. Carr, and T. M. Perney
Expression of the Kv3.1 Potassium Channel in the Avian Auditory Brainstem
J. Neurosci.,
January 15, 2001;
21(2):
485 - 494.
[Abstract]
[Full Text]
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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.
[Abstract]
[Full Text]
[PDF]
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