The remarkable cochlear amplifier.

This composite article is intended to give the experts in the field of cochlear mechanics an opportunity to voice their personal opinion on the one mechanism they believe dominates cochlear amplification in mammals. A collection of these ideas are presented here for the auditory community and others interested in the cochlear amplifier. Each expert has given their own personal view on the topic and at the end of their commentary they have suggested several experiments that would be required for the decisive mechanism underlying the cochlear amplifier. These experiments are presently lacking but if successfully performed would have an enormous impact on our understanding of the cochlear amplifier.

Force generation by mammalian hair bundles supports a role in cochlear amplification.

It is generally accepted that the acute sensitivity and frequency discrimination of mammalian hearing requires active mechanical amplification of the sound stimulus within the cochlea. The prevailing hypothesis is that this amplification stems from somatic electromotility of the outer hair cells attributable to the motor protein prestin. Thus outer hair cells contract and elongate in synchrony with the sound-evoked receptor potential. But problems arise with this mechanism at high frequencies, where the periodic component of the receptor potential will be attenuated by the membrane time constant. On the basis of work in non-mammalian vertebrates, force generation by the hair bundles has been proposed as an alternative means of boosting the mechanical stimulus. Here we show that hair bundles of mammalian outer hair cells can also produce force on a submillisecond timescale linked to adaptation of the mechanotransducer channels. Because the bundle motor may ultimately be limited by the deactivation rate of the channels, it could theoretically operate at high frequencies. Our results show the existence of another force generator in outer hair cells that may participate in cochlear amplification.

Mechanisms of active hair bundle motion in auditory hair cells.

Sound stimuli vibrate the hair bundles on auditory hair cells, but the resulting motion attributable to the mechanical stimulus may be modified by forces intrinsic to the bundle, which drive it actively. One category of active hair bundle motion has properties similar to fast adaptation of the mechanotransducer channels and is explicable if gating of the channels contributes significantly to the mechanics of the hair bundle. To explore this mechanism, we measured hair bundle compliance in turtle auditory hair cells under different conditions that alter the activation range of the channel. Force-displacement relationships were nonlinear, possessing a maximum slope compliance when approximately one-half of the transducer channels were open. When the external calcium concentration was reduced from 2.8 to 0.25 mm, the position of maximum compliance was shifted negative, reflecting a comparable shift in the transducer channel activation curve. Assuming that the nonlinearity represents the compliance attributable to channel gating, a single-channel gating force of 0.25 pN was calculated. By comparing bundle displacements with depolarization with and without an attached flexible fiber, the force contributed by each channel was independently estimated as 0.47 pN. These results are consistent with fast active bundle movements resulting from changes in mechanotransducer channel gating. However, several observations revealed additional components of hair bundle motion, with slower kinetics and opposite polarity to the fast movement but also linked to transducer adaptation. This finding argues for multiple mechanisms for controlling hair bundle position in auditory hair cells.

Clues to the cochlear amplifier from the turtle ear.

Sound stimuli are detected in the cochlea by vibration of hair bundles on sensory hair cells, which activates mechanotransducer ion channels and generates an electrical signal. Remarkably, the process can also work in reverse with additional force being produced by the ion channels as they open and close, evoking active movements of the hair bundle. These movements could supplement the energy of the sound stimuli but to be effective they would need to be very fast. New measurements in the turtle ear have shown that such active bundle movements occur with delays of less than a millisecond, and are triggered by the entry of Ca(2+) into the cell via the mechanotransducer channel. Furthermore, their speed depends on the frequency to which the hair cell is most sensitive, suggesting that such movements could be important in cochlear amplification and frequency discrimination.

Active hair bundle motion linked to fast transducer adaptation in auditory hair cells.

During transduction in auditory hair cells, hair bundle deflection opens mechanotransducer channels that subsequently reclose or adapt to maintained stimuli, a major component of the adaptation occurring on a submillisecond time scale. Using a photodiode imaging technique, we measured hair bundle motion in voltage-clamped turtle hair cells to search for a mechanical correlate of fast adaptation. Excitatory force steps imposed by a flexible glass fiber attached to the bundle caused an initial movement toward the kinocilium, followed by a fast recoil equivalent to bundle stiffening. The recoil had a time course identical to adaptation of the transducer current, and like adaptation, was most prominent for small stimuli, was slowed by reducing extracellular calcium, and varied with hair cell resonant frequency. In free-standing hair bundles, depolarizations positive to 0 mV evoked an outward current attributable to opening of transducer channels, which was accompanied by a sustained bundle deflection toward the kinocilium. Both processes were sensitive to external calcium concentration and were abolished by blocking the transducer channels with dihydrostreptomycin. The similarity in properties of fast adaptation and the associated bundle motion indicates the operation of a rapid calcium-sensitive force generator linked to the gating of the transducer channels. This force generator may permit stimulus amplification during transduction in auditory hair cells.

Tonotopic variations of calcium signalling in turtle auditory hair cells.

Turtle cochlear hair cells are electrically tuned by a voltage-dependent Ca2+ current and a Ca2+-dependent K+ current (IBK(Ca)). The effects of intracellular calcium buffering on electrical tuning were studied in hair cells at apical and basal cochlear locations tuned to 100 and 300 Hz, respectively. Increasing the intracellular BAPTA concentration changed the hair cell's resonant frequency little, but optimized tuning at more depolarized membrane potentials due to a positive shift in the half-activation voltage (V ) of the IBK(Ca). The shift in V depended similarly on BAPTA concentration in basal and apical hair cells despite a 2. 4-fold difference in the size of the Ca2+ current at the two positions. The Ca2+ current amplitude increased exponentially with distance along the cochlea. Comparison of V values and tuning properties using different BAPTA concentrations with values measured in perforated-patch recordings gave the endogenous calcium buffer as equivalent to 0.21 mM BAPTA in low-frequency cells, and 0.46 mM BAPTA in high-frequency cells. High conductance Ca2+-activated K+ (BKCa) channels recorded in inside-out membrane patches were 2-fold less Ca2+ sensitive in high-frequency than in low-frequency cells. Confocal Ca2+ imaging using the fluorescent indicator Calcium Green-1 revealed about twice as many hotspots of Ca2+ entry during depolarization in high-frequency compared to low-frequency hair cells. We suggest that each BKCa channel is gated by Ca2+ entry through a few nearby Ca2+ channels, and that Ca2+ and BKCa channels occupy, at constant channel density, a greater fraction of the membrane area in high-frequency cells than in low-frequency cells.

Two components of transducer adaptation in auditory hair cells.

Mechanoelectrical transducer currents in turtle auditory hair cells adapted to maintained stimuli via a Ca(2+)-dependent mechanism characterized by two time constants of approximately 1 and 15 ms. The time course of adaptation slowed as the stimulus intensity was raised because of an increased prominence of the second component. The fast component of adaptation had a similar time constant for both positive and negative displacements and was unaffected by the myosin ATPase inhibitors, vanadate and butanedione monoxime. Adaptation was modeled by a scheme in which Ca(2+) ions, entering through open transducer channels, bind at two intracellular sites to trigger independent processes leading to channel closure. It was assumed that the second site activates a modulator with 10-fold slower kinetics than the first site. The model was implemented by computing Ca(2+) diffusion within a single stereocilium, incorporating intracellular calcium buffers and extrusion via a plasma membrane CaATPase. The theoretical results reproduced several features of the experimental responses, including sensitivity to the concentration of external Ca(2+) and intracellular calcium buffer and a dependence on the onset speed of the stimulus. The model also generated damped oscillatory transducer responses at a frequency dependent on the rate constant for the fast adaptive process. The properties of fast adaptation make it unlikely to be mediated by a myosin motor, and we suggest that it may result from Ca(2+) binding to the transducer channel or a nearby cytoskeletal element.

The role of Ca2+-activated K+ channel spliced variants in the tonotopic organization of the turtle cochlea.

1. Turtle auditory hair cells contain multiple isoforms of the pore-forming alpha-subunit of the large-conductance Ca2+-activated K+ (KCa) channel due to alternative splicing at two sites. Six splice variants were studied by expression in Xenopus oocytes. 2. The isoforms possessed differences in apparent Ca2+ sensitivity and kinetics. The lowest Ca2+ sensitivity was observed in a novel variant resulting from a 26 amino acid deletion around one of the splice sites. 3. Co-expression of a bovine beta-subunit slowed the current relaxation 10-fold compared with channels formed from alpha-subunits alone but preserved the original order of kinetic differences. The beta-subunit also increased the Ca2+ sensitivity of isoforms to bring them nearer the range of sensitivity of the native KCa channels of the hair cell. 4. With channels formed from alpha-subunits or alpha + beta-subunits, the half-activation voltage in a fixed Ca2+ concentration, and the time constant of the current relaxation, varied linearly with the combined size of the insertions/deletions at the splice sites. 5. Experiments in which the beta/alpha concentration ratio was varied indicated that the beta-subunit exerts an all-or-none effect on the Ca2+ sensitivity and kinetics of the channel. 6. Co-expression of an avian beta2-subunit had effects on kinetics and Ca2+ sensitivity of several alpha-isoforms which were qualitatively similar to those produced by the bovine beta-subunit. 7. We conclude that differential expression of alternatively spliced alpha-subunit variants and a non-uniform distribution of a beta-subunit can produce a range of KCa channel properties needed to explain the tonotopic organization of the turtle cochlea.

The functional role of alternative splicing of Ca(2+)-activated K+ channels in auditory hair cells.

Turtle auditory hair cells are frequency tuned by the activity of large-conductance calcium-activated potassium (KCa) channels, the frequency range being dictated primarily by the channel kinetics. Seven alternatively spliced isoforms of the KCa channel alpha-subunit, resulting from exon insertion at two splice sites, were isolated from turtle hair cells. These, when expressed in Xenopus oocytes, produced KCa channels with a range of apparent calcium sensitivities and channel kinetics. However, most expressed channels were less calcium sensitive than the hair cells' native KCa channels. Coexpression of alpha-subunit with a bovine beta-subunit substantially increased the channel's calcium sensitivity while markedly slowing its kinetics, but kinetic differences between isoforms were preserved. These data suggest a molecular mechanism for hair cell frequency tuning involving differential expression of different KCa channel alpha-subunits in conjunction with an expression gradient of a regulatory beta-subunit.

Mechanisms of hair cell tuning.

Mechanosensory hair cells of the vertebrate inner ear contribute to acoustic tuning through feedback processes involving voltage-gated channels in the basolateral membrane and mechanotransduction channels in the apical hair bundle. The specific number and kinetics of calcium-activated (BK) potassium channels determine the resonant frequency of electrically tuned hair cells. Kinetic variation among BK channels may arise through alternative splicing of slo gene mRNA and combination with modulatory beta subunits. The number of transduction channels and their rate of adaptation rise with hair cell response frequency along the cochlea's tonotopic axis. Calcium-dependent feedback onto transduction channels may underlie active hair bundle mechanics. The relative contributions of electrical and mechanical feedback to active tuning of hair cells may vary as a function of sound frequency.

The endogenous calcium buffer and the time course of transducer adaptation in auditory hair cells.

Mechanoelectrical transducer currents in turtle auditory hair cells adapt to maintained stimuli via a Ca2+-dependent mechanism that is sensitive to the level of internal calcium buffer. We have used the properties of transducer adaptation to compare the effects of exogenous calcium buffers in the patch electrode solution with those of the endogenous buffer assayed with perforated-patch recording. The endogenous buffer of the hair bundle was equivalent to 0.1-0.4 mM BAPTA and, in a majority of cells, supported adaptation in an external Ca2+ concentration of 70 microM similar to that in turtle endolymph. The endogenous buffer had a higher effective concentration, and the adaptation time constant was faster in cells at the high-frequency end than at the low-frequency end of the cochlea. Experiments using buffers with different Ca2+-binding rates or dissociation constants indicated that the speed of adaptation and the resting open probability of the transducer channels could be differentially regulated and imply that the endogenous buffer must be a fast, high-affinity buffer. In some hair cells, the transducer current did not decay exponentially during a sustained stimulus but displayed damped oscillations at a frequency (58-230 Hz) that depended on external Ca2+ concentration. The gradient in adaptation time constant and the tuned transducer current at physiological levels of calcium buffer and external Ca2+ suggest that transducer adaptation may contribute to hair cell frequency selectivity. The results are discussed in terms of feedback regulation of transducer channels mediated by Ca2+ binding at two intracellular sites.

Identification of Ca(2+)-activated K+ channel splice variants and their distribution in the turtle cochlea.

Turtle auditory-hair cells are frequency-tuned by the activity of calcium-activated potassium (KCa) channels, a cell's characteristic frequency being determined by the KCa channel density and kinetics which both vary systematically along the cochlea. As a first step towards identifying the source of KCa channel variation, we have isolated, by reverse-transcription polymerase chain reaction on dissociated hair cells, the main cDNAs homologous to the slo gene which encodes the channel's alpha-subunit. A total of six alternatively spliced variants were identified, the smallest of which is 94% identical to a mouse Slo sequence. Variation occurs by insertion of exons at only two splice sites, two of these exons encoding novel 31- and 61-amino acid sequences. As we were unable to detect splicing at other potential sites, we infer that the six variants correspond to naturally occurring combinations. The spatial distribution of the variants, defined by isolating hair cells from different regions of the cochlea, indicated that some isoforms were non-uniformly distributed. Those containing large inserts in the first splice site were notably absent from the highest-frequency region. We suggest that alternative splicing of the slo gene may contribute to variation in KCa channel properties.

Calcium permeation of the turtle hair cell mechanotransducer channel and its relation to the composition of endolymph.

1. Recordings of mechanoelectrical transducer currents were combined with calcium imaging of hair bundles in turtle auditory hair cells located near the high-frequency end of the cochlea. The external face of the hair bundles was perfused with a range of Ca2+ concentrations to study the quantitative relationship between Ca2+ influx and transducer adaptation. 2. With Na+ as the monovalent ion, the peak amplitude of the transducer current decreased monotonically as the external [Ca2+] was raised from 25 microns to 20 mm. When Na+ was replaced with the impermeant Tris the transducer current increased with external [Ca2+]. These results indicate that Ca2+ can both permeate and block the transducer channels. The Ca2+ concentration for half-block of the monovalent current was 1 mm. 3. To quantify the Ca2+ influx, the fraction of transducer current carried by Ca2+ was measured using the change in bundle fluorescence in cells loaded with 1 mm Calcium Green-1. The fluorescence change was calibrated by substituting an impermeable monovalent ion to render Ca2+ the sole charge carrier. 4. In the presence of Na+, the fractional Ca2+ current was approximately 10% in 50 microns Ca2+, a concentration similar to that in endolymph, which bathes the hair bundles in vivo. The amount of Ca2+ entering was dependent on the identity of the monovalent ion, and was larger with K+, suggesting that the transducer channel is a multi-ion pore. 5. Over a range of ionic conditions, the rate of transducer adaptation was proportional to Ca2+ influx indicating that adaptation is driven by a rise in intracellular [Ca2+]. 6. Shifts in the current-displacement function along the displacement axis in different external Ca2+ concentrations were predictable from variation in the resting Ca2+ influx. We suggest that changes in the resting open probability of the transducer channels adjust the entry of Ca2+ to keep its concentration constant at an internal site. 7. The results demonstrate that endolymph containing high K+, 50 microns Ca2+ and low Mg2+ concentrations, maximizes the transducer current while still allowing sufficient Ca2+ entry to drive adaptation. The hair cell mechanotransducer channel, in its permeation and block by Ca2+, shows behaviour similar to the voltage-gated Ca2+ channel and the cyclic nucleotide-gated channel.

The effects of calcium buffering and cyclic AMP on mechano-electrical transduction in turtle auditory hair cells.

1. The effects of intracellular Ca2+ buffering on hair cell mechanotransduction were studied in an intact cochlear epithelium where the endolymphatic and perilymphatic surfaces could be separately perfused with different Ca2+ solutions. 2. The speed and extent of transducer adaptation increased as the concentration in the patch electrode of the Ca2+ buffer BAPTA was lowered. In 0.1 mM BAPTA or less, the transducer adapted almost completely, with a mean time constant of 0.8 ms. 3. For a fixed internal BAPTA concentration, the transducer conductance varied with hair cell location, increasing towards the high-frequency end of the cochlea, and the time constant of adaptation decreased proportionally. At a given cochlear location, hair cells with larger transducer conductances displayed faster adaptation. We suggest that transducer adaptation accounts for a variable high-pass filter observed in the acoustic tuning curve. 4. The effects of perfusion of 50 microM Ca2+ endolymph depended on the BAPTA concentration of the electrode: with 3 mM BAPTA, adaptation was abolished, but in most recordings with 0.01 or 0.1 mM BAPTA, rapid adaptation was retained. The current-displacement curve was also shifted less the lower the intracellular BAPTA concentration. Cells in the high-frequency half of the papilla retained adaptation at a higher BAPTA concentration. 5. Treatment with the cAMP agonist, 8-bromo-cAMP, or with the phosphodiesterase inhibitor 3-isobutyl-1-methylxanthine, caused a rightward shift in the current-displacement curve which was independent of the internal BAPTA concentration. 6. We conclude that the free Ca2+ and cyclic nucleotide concentrations of the hair bundle modulate the position of the activation curve of the transducer. The factors which may be important for the correct functioning of adaptation in vivo are discussed.

A theoretical study of calcium microdomains in turtle hair cells.

Confocal imaging has revealed microdomains of intracellular free Ca2+ in turtle hair cells evoked by depolarizing pulses and has delineated factors affecting the growth and dissipation of such domains. However, imaging experiments have limited spatial and temporal resolution. To extend the range of the results we have developed a three-dimensional model of Ca2+ diffusion in a cylindrical hair cell, allowing part of the Ca2+ influx to occur over a small circular region (radius 0.125-1.0 micron) representing a high-density array of voltage-dependent channels. The model incorporated experimental information about the number of channels, the fixed and mobile Ca2+ buffers, and the Ca2+ extrusion mechanism. A feature of the calculations was the use of a variable grid size depending on the proximity to the Ca2+ channel cluster. The results agreed qualitatively with experimental data on the localization of the Ca2+ transients, although the experimental responses were smaller and slower, which is most likely due to temporal and spatial averaging in the imaging. The model made predictions about 1) the optimal Ca2+ channel number and density within a cluster, 2) the conditions to ensure independence of neighboring clusters, and 3) the influence of the Ca2+ buffers on the kinetics and localization of the microdomains. We suggest that an increase in the mobile Ca2+ buffer concentration in high-frequency hair cells (which possess a larger number of release sites) would allow lower amplitude and faster Ca2+ responses and promote functional independence of the sites.

Monitoring calcium in turtle hair cells with a calcium-activated potassium channel.

1. An apamin-sensitive Ca(2+)-activated K+ channel was characterized in turtle hair cells and utilized to monitor submembranous intracellular Ca2+ and to evaluate the concentration of the mobile endogenous calcium buffer. 2. Isolated hair cells were voltage clamped with whole-cell patch electrodes filled with a Cs(+)-based intracellular solution to block the large-conductance Ca(2+)-activated K+ (BK) channel. Ca2+ currents evoked by depolarization were followed by inward tail currents lasting several hundred milliseconds. Both the Ca2+ current and slow tail current were abolished by nifedipine. 3. The tail current was carried by K+ and Cs+ (relative permeabilities PCa/PK = 0.22), and was fully blocked by 0.1 microM apamin and half blocked by 5 mM external TEA. These properties suggest the tail current flows through a Ca(2+)-activated K+ channel distinct from the BK channels. 4. Intracellular Ca2+ was imaged with a confocal microscope in hair cells filled with the indicator Calcium Green-5N introduced via the patch pipette. Increases in Ca2+ evoked by depolarization were localized to hotspots on the basolateral surface of the cell. The time course of the tail current closely matched the fast component of the fluorescenece monitored at a hotspot. 5. Ca(2+)-ATPase pump inhibitors thapsigargin, 2,4-di-(t-butyl)hydroquinone (BHQ) and vanadate, which are known to influence calcium regulation in turtle hair cells, prolonged the time course of the tail current, supporting the idea that the channel monitors cytoplasmic Ca2+. 6. The mobile endogenous buffer was estimated by combining perforated-patch and whole-cell recordings on a single cell. After recording tail currents with an amphotericin-perforated patch, the patch was ruptured to obtain the whole-cell mode, thus allowing washout of soluble cytoplasmic proteins and exchange with pipette buffers. By varying the concentration of Ca2+ buffer in the pipette, the mobile endogenous buffer was found to be equivalent to about 1 mM BAPTA.

A developmental model for generating frequency maps in the reptilian and avian cochleas.

Hair cells in the turtle cochlea are frequency-tuned by a mechanism involving the combined activation of voltage-sensitive Ca2+ channels and Ca(2+)-activated K+ (KCa) channels. The main determinants of a hair cell's characteristic frequency (Fo) are the KCa channels' density and kinetics, both of which change systematically with location in the cochlea in conjunction with the observed frequency map. We have developed a model based on the differential expression of two KCa channel subunits, which when accompanied by concurrent changes in other properties (e.g., density of Ca2+ channels and inwardly rectifying K+ channels), will generate sharp tuning at frequencies from 40 to 600 Hz. The kinetic properties of the two subunits were derived from previous single-channel analysis, and it was assumed that the subunits (A and B) combine to form five species of tetrameric channel (A4, A3B, A2B2, AB3, and B4) with intermediate kinetics and overlapping distribution. Expression of KCa and other channels was assumed to be regulated by diffusional gradients in either one or two chemicals. The results are consistent with both current- and voltage-clamp data on turtle hair cells, and they show that five channel species are sufficient to produce smooth changes in both Fo and kinetics of the macroscopic KCa current. Other schemes for varying KCa channel kinetics are examined, including one that allows extension of the model to the chick cochlea to produce hair cells with Fo's from 130 to 4000 Hz. A necessary assumption in all models is a gradient in the values of the parameters identified with the cell's cytoplasmic Ca2+ buffer.

Confocal imaging of calcium microdomains and calcium extrusion in turtle hair cells.

We have studied spatial Ca2+ distribution in hair cells filled with the low affinity fluorescent indicator Calcium Green 5N using real-time confocal microscopy and whole-cell recording. During depolarizations lasting several hundred milliseconds, Ca2+ fluorescence increased at a number of hotspots around the base of the cell but changed little near the hair bundle. The hotspots required influx of Ca2+ through voltage-dependent channels, and they expanded during the pulse from an initial diameter of < 1 micron. Strong Ca2+ buffers like BAPTA slowed their growth rate. On repolarization, the fluorescence decayed with two time constants: approximately 0.1 s, which may represent Ca2+ diffusion away from the entry sites, and 10 s, probably reflecting Ca2+ extrusion. Extrusion occurs mainly via a CaATPase that can be blocked by vanadate. We suggest the hotspots are microdomains of Ca2+ attaining a concentration of at least 85 microM near assemblies of synaptic release sites.

The calcium-activated potassium channels of turtle hair cells.

A major factor determining the electrical resonant frequency of turtle cochlear hair cells is the time course of the Ca-activated K current (Art, J. J., and R. Fettiplace. 1987. Journal of Physiology. 385:207-242). We have examined the notion that this time course is dictated by the K channel kinetics by recording single Ca-activated K channels in inside-out patches from isolated cells. A hair cell's resonant frequency was estimated from its known correlation with the dimensions of the hair bundle. All cells possess BK channels with a similar unit conductance of approximately 320 pS but with different mean open times of 0.25-12 ms. The time constant of relaxation of the average single-channel current at -50 mV in 4 microM Ca varied between cells from 0.4 to 13 ms and was correlated with the hair bundle height. The magnitude and voltage dependence of the time constant agree with the expected behavior of the macroscopic K(Ca) current, whose speed may thus be limited by the channel kinetics. All BK channels had similar sensitivities to Ca which produced half-maximal activation for a concentration of approximately 2 microM at +50 mV and 12 microM at -50 mV. We estimate from the voltage dependence of the whole-cell K(Ca) current that the BK channels may be fully activated at -35 mV by a rise in intracellular Ca to 50 microM. BK channels were occasionally observed to switch between slow and fast gating modes which raises the possibility that the range of kinetics of BK channels observed in different hair cells reflects a common channel protein whose kinetics are regulated by an unidentified intracellular factor. Membrane patches also contained 30 pS SK channels which were approximately 5 times more Ca-sensitive than BK channels at -50 mV. The SK channels may underlie the inhibitory synaptic potential produced in hair cells by efferent stimulation.