Regional Distribution of Ionic Currents and Membrane Voltage Responses of Type II Hair Cells in the Vestibular Neuroepithelium

Tianxiang Weng1 and Manning J. Correia1,2

Departments of  1Otolaryngology and  2Physiology and Biophysics, The University of Texas Medical Branch, Galveston, Texas 77555-1063


    ABSTRACT
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

Weng, Tianxiang and Manning J. Correia. Regional Distribution of Ionic Currents and Membrane Voltage Responses of Type II Hair Cells in the Vestibular Neuroepithelium. J. Neurophysiol. 82: 2451-2461, 1999. Basolateral ionic currents and membrane voltage responses were studied in pigeon vestibular type II hair cells using a thin slice through either the semicircular canal (SCC) crista or utricular macular epithelium. Whole cell tight-seal patch-clamp recording techniques were used. Current-clamp and voltage-clamp studies were carried out on the same cell. One hundred ten cells were studied in the peripheral (Zone I) and central (Zone III) zones of the SCC crista, and 162 cells were studied in the striolar (S Zone) and extrastriolar (ES Zone) zones of the utricular macula. One of the major findings of this paper is that hair cells with fast activation kinetics of their outward currents are found primarily in one region of the SCC crista and utricular macula, whereas hair cells with slow activation kinetics are found in a different region. In Zone I of the crista, 95% of the cells have fast activation kinetics ("fast" cells) and in Zone III of the crista, 86% of the cells have slow activation kinetics ("slow" cells). In the utricular macula slice, 100% of the cells from the S Zone are slow cells, whereas 86% of the cells from the ES Zones are fast cells. Oscillation frequency (f) and quality factor (Q) of the damped oscillations of the membrane potential during extrinsic current injections were studied in hair cells in the different regions. The slow cells in Zone III and in the S Zone have a statistically significantly lower f, as a function of the amplitude of injected current, when compared with the fast cells in Zone I and the ES Zone. Although Q varied over a small range and was <2.6 for all cells tested, there was a statistically significant difference between Q for the membrane oscillations of the slow cells and fast cells in response to a range of current injections.


    INTRODUCTION
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

In chick auditory papilla, there is a correlation between types of ionic currents in hair cells, hair cell location, and the frequency of damped membrane oscillations in these cells during extrinsic current injections. In turtle auditory papilla, damped membrane voltage oscillations (resonance) also occur in response to extrinsic current injections in hair cells (Crawford and Fettiplace 1981). The frequency (f) of the oscillations and the quality factor (Q) of the resonance are close to the characteristic frequency and Q of the hair cell linear tuning curve obtained from sound presentations (Crawford and Fettiplace 1981). Thus electrical tuning of signals in turtle auditory hair cells occurs, and apparently it is functionally important. Electrical tuning also occurs in some hair cells in the cochleae of chicks (Fuchs 1992), frogs (Ashmore 1983; Hudspeth and Lewis 1988), and alligators (Fuchs and Evans 1988). Electrical second filters, however, may not be necessary for frequency sharpening in mammals (Narayan et al. 1998).

Roughly 60% of vestibular hair cells found in the pigeon's semicircular canal, SCC, demonstrate voltage oscillations (Correia et al. 1989) during small extrinsic current injections (20-100 pA). But when compared with those of frog and turtle auditory hair cells, the voltage oscillations are of a lower quality (~1 order of magnitude) and a lower frequency (Correia et al. 1989; Ricci and Correia 1999). With the exception of one study of toadfish vestibular hair cells (Steinacker et al. 1997), low-frequency low-quality oscillations during small current injections also have been observed in vestibular hair cells of the frog (Housley et al. 1989) and the guinea pig (Rennie and Ashmore 1991).

Angelaki and Correia (1992) showed that the equivalent electrical circuit used to model membrane voltage resonance in cochlea hair cells by Crawford and Fettiplace (1981) and modified by Ashmore and Atwell (1985) was inadequate to completely describe the membrane voltage oscillation properties of pigeon vestibular hair cells. Satisfactory fits were obtained only when a complex admittance (Y0) was substituted for the resistor and inductor in one of the branches of the resonant equivalent circuit. To achieve adequate fits, it was necessary that Y0 be modeled as an underdamped system in some cases, and in other cases it was necessary that Y0 be modeled as an overdamped or critically damped system. But as a rough first approximation, the parameters f and Q based on the resonant equivalent circuit (Ashmore and Attwell 1985; Crawford and Fettiplace 1981), describe the voltage response of vestibular hair cells to small extrinsic currents (Correia et al. 1989; Ricci and Correia 1999). These parameters have been used herein to characterize the membrane oscillatory properties of fast and slow cells in the SCC and utricle.

With the use of the slice preparation, it has been shown that hair cells in different regions of the frog (Masetto et al. 1994) and pigeon (Masetto and Correia 1997a) SCC neuroepithelium have different combinations of outward and inwardly rectifying currents. The present study is an extension of those studies with a threefold purpose. First, we wished to determine whether regional differences of ionic currents, noted for the pigeon SCC (Masetto and Correia 1997a), were also present in the utricle. Second, we wished to compare the kinetic properties of the ensemble of ionic currents in the SCC and the utricle, and finally we wanted see whether these regional differences were reflected in differences in the membrane voltage oscillations during extrinsic current injections. A preliminary report of this work has appeared in abstract form (Weng and Correia 1998).


    METHODS
TOP
ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

White king pigeons (Columbia livia) of either sex, weighing from 200 to 350 g and with ages ranging from 3 to 12 mo, provided the tissue used in the present experiments. All experimental procedures were conducted after approval by the institutional animal care and use committee and followed the guidelines set forth by the National Institutes of Health and the American Physiological Society.

Slice preparation

SCCs and utricles were harvested and dissected free of each other. All tissue was then incubated in Dulbecco's modified Eagle's medium (DMEM) augmented with 24 mM NaHCO3, 15 mM PIPES, 50 mg/l ascorbate, and 1.5% fetal calf serum. The DMEM and tissue were maintained at 37°C, pH 7.4, and an osmolarity of 320 mosmol/kg, in a saturated 95% O2-5% CO2 environment. At varying intervals, tissue was removed from the incubator, embedded in 4% agar, and quickly covered by partially frozen vibratome bath solution (Table 1). The utricle, with its roof removed (Fig. 1A), was sliced, using a vibratome (Campden, Silby, Loughborough, UK) in planes parallel to its short axis (Fig. 1, B and C). Slices through the horizontal and vertical semicircular canal cristae were parallel to long axis of the crista (Fig. 2, A-C). Individual slices (150-200 µm in thickness) were then transferred to a dish with a No. 1 glass cover slip bottom, held in place by a weighted nylon mesh and bathed in an extracellular solution (Table 1) that had been saturated with oxygen. The dish was mounted on a microscope stage (Zeiss Axioskop), and the cells were viewed using differential interference contrast microscopy optics including an Optovar magnifier and a ×40 water immersion objective. During the recording session, the slice was usually continuously superfused with oxygenated extracellular solution at room temperature (~20°C). The flow rate of the superfusate was 1.2 ml/min.


                              
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Table 1. Composition of solutions



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Fig. 1. A: top view of a utricle that has been isolated and whose roof has been removed. White arrows point at the striolar (S) Zone. Lateral (L) and medial (M) to the striola are the extrastriolar regions. The long axis of the utricle is in an anterior (A)-posterior (P) direction. B: slice (180 µm thick) through the center of the utricle in a plane perpendicular to the long axis. The otoconial layer (black covering) is curved and thinner over the bulging otoconial membrane in the S Zone. Inset: section of the striolar epithelium in which it is apparent that the tallest stereocilia of 2 hair cells (pointed to by black arrows) oppose each other. C: sketch of the utricle indicating the S Zone and each of the extrastriolar (ES) subzones. In this and Fig. 2C, the number of cells from which recordings were obtained in each subzone is indicated.



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Fig. 2. A: slice through the horizontal semicircular canal (SCC) ampulla in a plane parallel to the long axis of the crista. Zones I-III are demarcated by the arrowheads in this hemicrista. B: section through the ampulla of a vertical SCC. The plane of the section is through the long axis of the crista. The crista is symmetrical about its apex. The zones of 1/2 of the crista are indicated by arrowheads. PS, planum semilunatum. C: sketch of the vertical SCC crista indicating widths of the zones and the subzones.

Electrical recordings

Ionic current and membrane voltage recordings were made using conventional tight-seal whole cell patch-clamp techniques (Hamill et al. 1981). Access to the cell interior was achieved either by rupturing the cell membrane or by the use of a membrane-perforating agent (Horn and Marty 1988). Recordings were obtained using an Axoclamp 2A (Axon Instruments) bridge amplifier in both the voltage-clamp and the current-clamp mode. The Axoclamp-2A bridge amplifier was used because it has been shown (Masetto et al. 1999) that patch-clamp amplifiers can introduce significant distortions in the measurement of hair cell membrane voltage oscillations. In the majority of the experiments, ruptured patch (RP) recordings were made. Glass capillaries (Garner Glass No. 7052 or World Precision Instruments No. 1B150F-3) that had been acid washed (Chromerge, Fischer Scientific) and sterilized were pulled and fire-polished to a tip diameter of ~1 µm. The tips and shanks of some of the microelectrodes were covered with silicone elastomer (Sylgard), whereas others were coated with a 5% silanizing solution consisting of dimethyldichlorosilane (Sigma, No. D-3879) in chloroform (EM Scientific No. CX 1055-6). No difference was noted in the size of the final compensated electrode capacitance artifact using the two methods. In some experiments, perforated-patch (PP) recordings were made. Electrodes were pulled and polished to a tip diameter of ~1.5-3.0 µm. The electrodes were back-filled with a solution containing a perforating agent. The perforating agent (either Amphotericin B, Sigma No. A-4888 or Nystatin, Sigma No. N3503) was dissolved completely in dimethyl sulfoxide (DMSO). Five milligrams of the perforating agent was dissolved in 50 µl of DMSO. This stock solution was diluted to a final concentration of 250 µg/ml in a back filling solution [back fill solution (PP), Table 1]. Care was taken to ensure that the final concentration of DMSO was <0.25%. The tip of the electrode was filled with a tip filling solution [tip solution (PP), Table 1]. For ruptured-patch recordings the access resistance was between 2 and 6 MOmega and for perforated-patch recordings the access resistance varied between 6 and 20 MOmega . The electrode junction potential and electrode capacitance were compensated using the amplifier's analogue circuitry. No attempt was made to compensate for series resistance. However, the final series resistance produced a maximal voltage error of <10 mV, and the clamp speed did not limit the analysis of the activation kinetics.

Data acquisition

Stimuli were generated and signals were sampled using AD/DA converters (DigiData 1200, Axon Instruments) that were controlled by a PC running data acquisition software (Clampex 6.3, Axon Instruments). The bandwidth of the amplifier's filter was set at 3 or 10 kHz depending on the experimental protocol. The digital sampling frequency was two to five times the analogue bandwidth of the recorded signal.

Data analysis

REGIONS STUDIED. The long axes of the vertical SCC cristae were partitioned into three zones, named as before (Masetto and Correia 1997a) and illustrated in Fig. 2, B and C. Zone I, the peripheral region, extends ~60 µm from the planum semilunatum (PS). Zone III, the central region, extends ~160 µm on either side of the apex. Zone II, the intermediate region is ~135 µm and is between Zones I and III (Fig. 2C). The horizontal SCC crista is a hemicrista, and there is only one of each of the three zones (Fig. 2A). Zone III in the vertical SCC cristae was further partitioned into two subzones (IIIa and IIIb), of roughly equal size, bisected by a ridge on the surface of the epithelium. Hair cells residing in the different subzones were studied. A thickening in the otolithic membrane defined the striolar (S) Zone. A high-power magnification of the hair cells in this zone revealed ciliary bundles tapered in opposite directions (Fig. 1B, inset, black arrows). Type I hair cells were not found in any other region of the utricle (Jorgensen and Anderson 1973). The lateral extrastriolar (ES) region was demarked by the edge of the S region and the end of the neuroepithelium (ESa, Fig. 1C). The medial ES region was roughly subdivided into three equally sized subregions (ESb-d, Fig. 1C). Cells were studied in each of these subregions. Only type II hair cells were studied, and they were identified on the basis of their morphology (Correia et al. 1989; Ricci et al. 1997a,b).

HAIR CELLS STUDIED. Four hundred seven hair cells produced recordings. Of these, 272 hair cells were selected as the total sample because these cells met three criteria: 1) their zero current potential (Vz) was more negative than -40 mV, 2) they produced recordings that lasted at least 10 min, and 3) they produced both voltage-clamp and current-clamp recordings. The distribution of the number of cells by zone was: 39 hair cells were from Zone I; 71 hair cells from Zone III; 116 hair cells from the ES Zone and 46 from the S Zone. The number of cells studied in each subzone is indicated in Figs. 1C and 2C.

The total sample of cells was further sorted into fast and slow cells by comparing the time-to-peak (Tp) of the net current (Lang and Correia 1989). To study the properties of the ionic currents in hair cells residing in different zones of the SCCs (Zone I and Zone III) and the utricle (S Zone and ES Zone), 10 cells from each zone were randomly selected from the total sample as representative and analyzed as follows.

PARAMETERS CHARACTERIZING MEMBRANE VOLTAGE AND CURRENT RESPONSE. Input impedance (Rin), input capacitance (Cin), and membrane time constant (tau in) were calculated from the measurement of the voltage (Vss) response to a -20-pA current pulse (250 ms long) from Vz (see Table 2). Rin was determined from the solution of the equation Rin = Vss (mV)/20 (pA) where Vss = steady-state voltage measured just before the off time of the pulse. A single exponential function [Vss + Vexp-(t-<SUP><IT>t<SUB>0</SUB>/&tgr;<SUB>in</SUB></IT></SUP>)] was fitted to the charging portion of the voltage response. The input capacitance, Cin, was calculated from the equation Cin = tau in/Rin. A model cell with a 33-pF capacitor (Cin) in parallel with a 0.5-GOmega resistor (Rin) and in series with a 10 MOmega resistor (to simulate the resistance of the patch electrode) was tested using the above method. The calculated value of Cin was in error by <6%.


                              
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Table 2. Summary of mean parameters from detailed analysis of 10 hair cells from each zone of the SCCs and utricle

The activation time constant (tau a) of the outward net current was estimated by fitting Eq. 1 to the rising phase of the current trace in response to a voltage pulse. The voltage pulse was 200 ms wide and varied from -60 to 0 mV.
<IT>I</IT>(<IT>t</IT>)<IT>=</IT><IT>I</IT><SUB><IT>0</IT></SUB><IT>+</IT><IT>I</IT>[<IT>1−</IT><IT>e</IT><SUP><IT>−</IT>(<IT>t</IT><IT>&cjs0823;  &tgr;<SUB>a</SUB></IT>)</SUP>]<SUP><IT>n</IT></SUP> (1)
where I0 is the initial current, I is the steady-state current, and tau a is the activation time constant. The parameter n was varied from 1 to 4, but n = 3 gave the best fits and therefore was used in the final analysis.

Other parameters were calculated to quantify the outward current. These included peak current (Ip), peak conductance (gp), steady-state conductance (gss), the ratio of gp to gss, and the time-to-peak current (Tp).

The membrane voltage response to a current pulse (250 ms wide) was fitted with a sinusoidal function that decays to a plateau (Ricci and Correia 1999). The magnitude of the pulse varied from 20 to 120 pA.
<IT>V</IT>(<IT>t</IT>)<IT>=</IT>(<IT>V</IT><SUB>p</SUB>)<IT>e</IT><SUP>(<IT>−</IT><IT>t</IT><IT>&cjs0823;  &tgr;<SUB>Q</SUB></IT>)</SUP><IT> sin </IT>(<IT>2&pgr;</IT><IT>ft</IT><IT>+&phgr;</IT>)<IT>+</IT><IT>V</IT><SUB><IT>ss</IT></SUB> (2)
where Vss is the steady-state plateau voltage, Vp is the peak voltage above the plateau, tau Q is the time constant of the envelope decay, f is the frequency of the oscillation, pi  =3.14, and phi  is the sinusoidal phase angle.

The best fitted values of tau Q and f in Eq. 2 were subsequently used to calculate an electrical resonance quality factor (Q) using Eq. 3 (Crawford and Fettiplace 1981).
<IT>Q</IT><IT>=</IT>[(<IT>&pgr;</IT><IT>f</IT><IT>&tgr;<SUB>Q</SUB></IT>)<SUP><IT>2</IT></SUP><IT>+0.25</IT>]<SUP><IT>1&cjs0823;  2</IT></SUP> (3)
Rectified sinusoidal currents, 50 pA in magnitude and at discrete frequencies (0.05, 0.5, 5.0, 50, and 217 Hz), were injected into 10 hair cells from the S Zone. Gain (impedance magnitude) and phase were calculated between current injection and voltage membrane potential. Rectified sine wave current injection has been used in the past to simulate the waveform of the mechanoelectric transduction current and study the membrane potential changes of type II (Sugihara and Furukawa 1989) and type I hair cells (Correia et al. 1996).

Instead of modeling the membrane voltage response to the injected rectified sinusoidal currents in terms of resistive, capacitive, and inductive components of a resonant electrical circuit (Ashmore and Attwell 1985; Crawford and Fettiplace 1981), the admittance, Y(s), or impedance, Z = 1/Y(s), of the membrane was described by parameters that more directly relate to the properties of the membrane (Angelaki and Correia 1991; Correia et al. 1989; Mauro et al. 1970). Thus the impedance magnitude and phase values resulting from rectified sine wave current injections were fitted by an equation that describes a resonant circuit in terms of membrane properties
<IT>Y</IT>(<IT>s</IT>)<IT>=</IT><IT>sC</IT><SUB><IT>in</IT></SUB><IT>+</IT><IT>G</IT><SUB><IT>in</IT></SUB><IT>+</IT><LIM><OP>∑</OP><LL><IT>i</IT></LL></LIM> [<IT>G</IT><SUB><IT>i</IT></SUB>(<IT>1+</IT><IT>s</IT><IT>&tgr;<SUB>i</SUB></IT>)<SUP><IT>−1</IT></SUP>] (4)
where s = sigma  + jomega , j = (-1)1/2 and omega  = 2pi f. The input conductance Gin = (Rin)-1. The magnitude of the active conductances are Gi and their relaxation time constants, tau i. In the final analysis, the impedance magnitude and phase were fitted by a two conductance model. A one-conductance model did not provide an adequate fit, and a three-conductance model did not greatly improve the fit.

Curve fitting of Eqs. 1 and 2 was done using nonlinear regression algorithms in Origin 5.0 (Microcal Software). Gain and phase values of the impedance function were calculated using the program Sinefit (University of Texas Medical Branch). Curve fitting of Eq. 4 was done using the program Scientist 2.01 (Micromath).

Values are generally presented as means ± SD unless otherwise noted in which case the standard error of the mean (SE) is used. Statistical significance and lack thereof were accessed when P < 0.05 and P > 0.05, respectively. Exceptions to these probability values are explicitly stated in the text.


    RESULTS
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ABSTRACT
INTRODUCTION
METHODS
RESULTS
DISCUSSION
REFERENCES

Figure 3 presents histograms of log Tp measured for 272 cells residing in either Zone I or Zone III of the SCC or the ES Zone or the S Zone of the utricle. Average values for Tp are also presented. A statistically significant difference (P < 0.001, repeated measures ANOVA) existed between the values of Tp for cells in the different zones. The values of Tp were statistically significantly smaller for cells from the ES Zone (t-test, P < 0.001) and Zone I (t-test, P < 0.001) when compared with cells from Zone III and the S Zone. The median value of Tp for all cells was 3.83 ms. This Tp value separated cells into two groups, which we have designated as "fast" and "slow" cells. Thus the ES Zone of the utricle and Zone I of the SCC contained predominately fast cells, whereas the S Zone of the utricle and Zone III of the SCC contained mostly slow cells. There was no statistically significant difference between values of Tp for the subzones of Zone III of the SCCs and the subzones of the ES Zone so the data were pooled.



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Fig. 3. Three-dimensional histogram comparing log time-to-peak for cells from Zones I and III of the SCC and the S Zone and ES Zone of the utricle. Mean ± SD values for Tp is presented on the back wall of the histogram.

A random sample of 10 cells from each zone was chosen for further analysis. Normalized outward current traces from these cells are presented in Fig. 4A (cells from the SCC) and in Fig. 4B (cells from the utricle). The current traces from cells of Zone III and the S Zone show slower activation, slower inactivation and delayed peaks. These characteristics of the current traces did not change with repeated testing. Ninety percent of the cells from Zone III and 100% of the cells from the S Zone were classified as slow (dotted lines) using the Tp criterion while 100% of the cells from Zone I and 90% of the cells from the ES Zone were classified as fast (solid lines).



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Fig. 4. A: normalized current traces obtained from 20 SCC hair cells (10 from Zone I and 10 from Zone III). B: normalized current traces obtained from 20 utricular hair cells (10 from the S Zone and 10 from the ES Zone). Dotted curves identify traces with Tps >3.83 ms and represent responses from Zone III and S Zone hair cells. Solid curves identify traces with Tps <3.83 ms and represent responses from Zone I and ES Zone hair cells. Inset: voltage protocol. Black arrow indicates a Tp of 3.83. Percentages of cells that were classified as fast and slow cells for each zone are presented in the legends.

Traces of outward currents, inward currents and membrane voltages from a fast cell from Zone I of the SCC and a slow cell from Zone III are shown in Figs. 5, A-F. Stimulus protocols used throughout the study for all cells are presented in the top panel of each column. The activation and inactivation of the net outward current is faster for the fast cell (Fig. 5A) as compared with the slow cell (Fig. 5B). Mean parameters quantifying these kinetic differences for the random sample of 10 cells, whose outward currents are presented in Fig. 4, are summarized in Table 2. The mean peak current (Ip) and mean peak chord conductance (gp), are statistically significantly larger, whereas the mean steady-state conductance (gss), Tp, and the mean activation time constant (tau a) are statistically significantly smaller for fast cells from Zone I and the ES Zone when compared with equivalent parameters for cells from Zone III and the S Zone.



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Fig. 5. Illustration of the stimulus protocols (top panel) used to obtain the voltage-clamp and current-clamp responses in this study (unless otherwise specified). Middle panel: outward (A) and inward (C) currents and a membrane voltage response (E) to these protocols from a fast cell located in Zone I of the SCC. Calibration bars above this panel apply to the traces in both the middle and bottom panels. Bottom panel: traces (B, D, and F) that are comparable to those found in the middle panel but for a slow cell from Zone III of the SCC. Although traces are not shown for the utricle, the qualitative responses from the ES Zone and S Zone were not different from those of Zone I and Zone III, respectively.

Inwardly rectifying currents found in both fast and slow cells were of two types (Masetto and Correia 1997a): a fast inwardly rectifying current, IRIK1, (Fig. 5C) that relaxed at very hyperpolarized potentials (>120 mV) and a slowly activating inwardly rectifying current, Ih, (Fig. 5D). In a given hair cell, IRIK1 or Ih could be present either singly or together. In some hair cells, no inwardly rectifying currents could be detected. Table 3 summarizes the percentages and distributions of cells with fast and slow outward currents, IRIK1 and Ih inwardly rectifying currents in Zones I and III of the SCCs and the S and ES Zones of the utricle. IRIK1 occurs singly 40% of the time in zones (Zone I and ES Zone) containing fast cells but only 21% of the time in zones (Zone III and the S Zone) containing primarily slow cells. The current Ih occurs singly in 22% of the cells in Zone I and the ES Zone and singly in 39% of the cells in the S Zone or Zone III. Thus IRIK1 occurs almost twice as often in fast cells and Ih occurs almost twice as often in slow cells (see Fig. 5, C and D, for examples).


                              
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Table 3. Ratio (percentage) of the distribution of types of outward and inwardly rectifying currents in different regions of the SCCs and utricle

Figure 5, E and F, illustrates membrane voltage responses for fast and slow cells, respectively. The voltage responses for fast and slow cells depended on the composition of the ensemble of outward and inward conductances. In Fig. 5E, it can be seen that the inactivation of the fast outward conductance produced a continuous voltage depolarization during the step at higher levels of current injection. The slow conductance produced a plateau of voltages during the duration of the pulse (Fig. 5F). The hyperpolarized response for the fast cell, which contained IRIK1, had a more rapid activation, and the voltage plateaued during the pulse duration. The hyperpolarized response of the slow cell containing Ih (Fig. 5F) activated more slowly and repolarized during the duration of the pulse. The onset of repolarization was keyed to the activation of Ih. Membrane depolarization and repolarization following pulse onset occur faster in the fast cell (Fig. 5E) than in the slow cell (Fig. 5F). This difference in membrane oscillation frequency was quantified by curve fitting Eq. 2 to membrane voltage responses to extrinsic current injections (Figs. 6, B and D) and then by comparing the mean best fitted parameters (presented in Table 2). For current injections ranging from 20 to 120 pA, mean frequency of oscillation, f, and the quality of resonance, Q were statistically significantly greater for fast cells from Zone I and the ES Zone when compared with slow cells from Zone III and the S Zone.



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Fig. 6. Curve fits of current traces and oscillatory voltage responses for a fast cell from Zone I (A and B) and for a slow cell from Zone III (C and D). The equations fitted and best fit lines (dark solid lines) are shown in each graph. A chi 2 estimate of goodness-of-fit is also shown. Outward currents (A and C) were produced by a 60 mV (-60 to 0 mV to -60 mV) voltage pulse. The starting points of the curve fits were t = 20 ms, the start of the voltage pulses. The voltage responses (B and D) were produced by an 80-pA current pulse injection. The starting points of the curve fits were t = 25 ms, the start of the current pulses.

Current-voltage (I-V) plots for mean Ip and mean Iss from 10 hair cells in each of the two zones of the SCCs and each of the two zones of the utricle are shown in Fig. 7, A and C, respectively. Comparable voltage-current (V-I) plots are shown in Fig. 7, B and D. The data points in the I-V plots were not corrected for cell size because it can be seen from Table 2 that there was no statistically significant difference between values of Cin for cells in different zones.



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Fig. 7. Current-voltage (I-V) plots for mean peak and mean steady-state values of the outward currents of 10 hair cells from each of the 2 zones of the SCC (A) and each of the 2 zones of the utricle (C). Voltage-current (V-I) plots of mean peak and mean steady-state membrane potentials for the same 10 cells from the SCC (B) and the utricle (D). Slopes for the best-fitted straight lines through the peak (steady state) membrane voltages over the range from -40 to +20 pA in Fig. 6, B and D are 1.00 (0.92) mV/pA for the cells in Zone I, 0.77 (0.61) mV/pA for the cells in Zone III, 1.16 (1.06) mV/pA for the cells in the ES Zone, and 1.02 (0.89) mV/pA for the cells in the S Zone. The correlation coefficients (Rs) for the fits ranged from 0.96 to 0.99. In this and subsequent figures the error bars represent ±1 SD unless otherwise specified.

The V-I plots in Fig. 7, B and D, indicate that the steepest change in membrane potential occurs around rest over the range of current injection from -40 to +20 pA. Rectification begins at +20 pA for cells from all zones but less so for the peak voltage from cells of the S Zone of the utricle. The slopes of linear curve fits over the range -40 to +20 pA were about the same order of magnitude (~1 mV/pA or 1 GOmega ). However, the slow cells from Zone III and the S Zone were the least sensitive, i.e., had the smallest slopes (see values in the legend of Fig. 7). Although the peak membrane voltage response was not statistically significantly different for cells from Zone I and Zone III, it was statistically significantly different for cells from the S Zone and the ES Zone (P < 0.01, repeated measures ANOVA). The opposite was true for the steady-state response. Lack of rectification of the peak voltage response contributed to the difference between cells from the S Zone and the ES Zone. Rectification of the steady-state response for the cells from Zone III contributed to the difference between cells from Zone I and Zone III.

Figure 8 is a plot of the activation time constants, tau as, for cells in each zone over the membrane potential range from -30 to 40 mV. Generally, the values of tau a declined to an asymptote as the membrane potential increased. The time constant of the decay, tau 'a, was determined by fitting the equation for a single exponential shown in the figure. The best-fitted parameters of the equation for each zone are presented in the figure legend. The activation time constants for cells in the S Zone (100% slow) are statistically significantly slower than those for other zones and are more than 3 times those of the other zones at -30 mV and more than 1.75 times at 40 mV. Moreover, the time constant of decay value, tau 'a, for cells in the S Zone is nearly 1.5 times that of the cells in the ES Zone and 2-3 times that of cells in the 2 zones of the SCCs. Thus the hair cells in the S Zone have long activation time constants that remain long over a large voltage range.



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Fig. 8. Plot of mean activation time constant, tau a, as a function of membrane potential. Means are based on 10 observations except where tau as could not be reliably measured in all cells. Smaller numbers of observations are presented in parentheses. Evaluation of the equation shown in the figure provided good fits to the data (for all zones, R2 >=  0.98, P < 0.001). The best-fitted parameters for the different zones were as follows: Zone I, tau a0 = 0.30, tau a1 = 0.59, V0 = -30, tau 'a = 20.00; Zone III, tau a0 = 0.65, tau a1 = 0.41, V0 = -30, tau 'a = 28.00; ES Zone, tau a0 = 0.19, tau a1 = 0.55, V0 = -30, tau 'a = 42.62; and S Zone, tau a0 = 0.00, tau a1 = 3.67, V0 = -30, tau 'a = 66.20.

Figure 9, A-D, graphically summarizes, for cells in each zone, the membrane oscillation responses to extrinsic current injections. Figure 9A shows that the oscillation frequency, f, increases toward an asymptote as the magnitude of current injection increases. The time constants are faster for fast cells in Zone I and in the ES Zone. Furthermore, the ranges of oscillation frequencies are higher for the cells of the ES Zone and Zone I. The mean frequencies at each current level are statistically significantly different for cells from Zone I compared with Zone III (P < 0.01, repeated measures ANOVA) and for cells from the S Zone compared with cells from the ES Zone (P < 0.001, repeated measures ANOVA). Except for the lowest current injection, there is an ordering of the values of oscillation frequencies for a given level of current injection. The S Zone shows the lowest f, Zone III the next lowest, Zone I the next lowest, and the ES Zone has the highest f value. For the lowest current injection (20 pA), the oscillation frequencies range from ~30 for the cells from the S Zone to ~65 for cells from Zone I and the ES Zone. As pointed out previously (Correia et al. 1989), however, these values could be underestimates by as much as 2 octaves because the recordings were made at 20° below the pigeon's usual body temperature (40°C). Figure 9B is a plot of the time constant of damping, tau Q, of the membrane potential oscillations as a function of the current injection magnitude. The damping time constant, tau Q, declines to an asymptote as the magnitude of current injection increases. At each level of current injection the tau Qs are not clearly separated. The parameters of the best-fitted exponential functions are given in the figure legend.



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Fig. 9. A: mean frequency of oscillation (f) as a function of injected current magnitude. The test protocol is shown in Fig. 5, top panel, column 3. The family of curves represents data from hair cells in different zones. Curves rise to an asymptote. Data points were fitted with an equation: f = f0 + f1e-(I-I0/tau ). The smallest value of R2 = 0.97. The best-fitted values were as follows: Zone I, f0 = 70, f1 = 122, tau  = 0.12; Zone III, f0 = 38, f1 = 57, tau  = 0.10; ES Zone, f0 = 68, f1 = 119, tau  = 0.14; S Zone, f0 = 47, f1 = 119, tau  = 0.17. B: plot of the mean time constant of the damped oscillation (tau Q) of the membrane potential as a function of injected current. Solid lines represent evaluation of a single exponential function. The family of curves overlap illustrating small variation in tau Q (6.3 < tau Q < 9.7) for hair cells in different zones. C and D: plots of quality factor, Q, derived from Eq. 3, vs. frequency for cells from the 2 zones of the SCCs (C) and the 2 zones of the utricle (D). While the data from the cells (mostly slow) in Zone III and S Zone show statistically significant negative correlations relating Q and f, the cells (predominately fast) in Zone I and the ES Zone vary about a constant, Q ~ 2.2.

Equation 3 implies that the quality of resonance, Q, is a function of the frequency of oscillation, f and the oscillation damping time constant, tau Q. As in auditory hair cells, the slow cells found in Zone III of the SCCs and the S Zone of the utricle demonstrated a statistically significant negative correlation between Q and f (Fig. 9, C and D). But, like fast cells in the pigeon lagena (Ricci and Correia 1999), fast cells in Zone I of the SCC and the ES Zone of the utricle express currents with Q values that are constant about a level of Q ~ 2.2, particularly when f >100 Hz. A statistically significant difference exists between the mean values of Q for cells from Zone I compared with cells from Zone III and between the mean values of Q for cells from the ES Zone compared with cells from the S Zone except for the two highest frequencies. These results suggest that the quality of resonance is "clamped" to a constant value at higher frequencies for fast vestibular hair cells in the SCC and utricle as in the lagena (Ricci and Correia 1999).

Figure 10 presents means ± SE (n = 10) impedance magnitude and phase values for membrane voltage responses to 50-pA extrinsic rectified sine wave current injections of various frequencies. The solid lines represent evaluation of Eq. 4 (with 2 outward conductances) using best-fitted parameters. The best-fitted parameters are given in the figure caption. This plot shows little evidence of resonance in the response. That is, there is no peak in the impedance magnitude with a corresponding 90° phase shift. The frequency response does resemble that of a resonant circuit with a complex admittance having overdamped characteristics. Such a model has been used to describe inactivation of the Na+ current in the squid giant axon (Mauro et al. 1970) and the admittance properties of the membranes of SCC hair cells (Angelaki and Correia 1991).



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Fig. 10. Plot of mean ± SE impedance (Z) magnitude and phase based on rectified sine wave injections into 10 cells from the S Zone. Solid line represents the best-fitted parameters evaluating Eq. 4. They are Cin = 16 pA, Rin = 250 MOmega , G1 = 0.89 nS, tau 1 = 0.1 ms, G2 = 0.99 nS, and tau 2 = 2.5 ms. SE values for mean Z magnitude are obscured by the symbols.


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One of the major findings of this paper is that hair cells with outward currents that have fast activation kinetics (Tp, tau a, Table 2) are found primarily in one region of the SCCs and the utricle, whereas hair cells with slow activation kinetics are found in a different region. Cells with fast activation kinetics (fast cells) are found in the peripheral zone (Zone I) of the SCC and the extra-striolar zones of the utricle. Cells with slow activation kinetics (slow cells) are found in the central zone (Zone III) of the SCC and the striolar zone (S Zone) of the utricle. This result extends previous observations (Ricci and Correia 1999) that fast and slow cells are present in the pigeon's vestibular neuroepithelium and that they are regionally distributed in the pigeon SCC cristae (Masetto and Correia 1997a). A regional distribution of cells, with different mixtures of ionic currents, has also been noted previously in frog crista (Masetto et al. 1994). Also, inwardly rectifying currents in vestibular type II hair cells are regionally distributed and paired with fast and slow cells (Table 3). IRIK1 occurs ~2 times more frequently in Zone I (predominantly populated by fast hair cells) than in the hair cells in Zone III (predominantly populated by slow hair cells). Ih was found in the cells of Zone III ~2 times more frequently in the slow cells of Zone III than in the fast cells of Zone I. Similar, but less pronounced, differential distributions were found in the utricle. IRIK1 was found 1.6 times more often in the hair cells of the ES Zone than in the hair cells of the S Zone. Ih was found 1.3 times more often in cells in the S Zone than the ES Zone (Table 3). Thus fast cells are more likely to have the inward rectifier current IRIK1, and the slow cells are more likely to have the inward rectifier current Ih.

Striolar cells were strikingly different from cells in the other regions, particularly those from the ES Zone. First, the activation time constant, tau a, for striolar cells was statistically significantly longer and decayed slower as a function of membrane potential than for cells in the other regions (Fig. 8). For example, the value of tau a for striolar cells in response to a step from -60 to 0 mV was on average ~5 times that of cells from the ES region (Table 2). Second, the time constants of inactivation were longer for cells from the striolar region. This fact is reflected by the statistic gp/gss, which for striolar cells was approximately one-third that of cells from the ES Zone (Table 2). These comparisons suggest that the fast activating-fast inactivating current found in pigeon vestibular hair cells [presumably an A-type K+ current (Lang and Correia 1989)] is less prominent in striolar cells. Finally, striolar cells and cells from Zone III of the SCC (slow cells) showed oscillations to small current injections that were lower in frequency than those from fast cells from Zone I and the ES Zone. Ricci and Correia (1999) have recently suggested that the low-quality oscillations noted in some dissociated lagenar hair cells during extrinsic sinusoidal and pulse current injections are not resonant frequencies but are the cutoff frequencies of the low-pass membrane filter. When the sinusoidal frequency response cutoff frequency was regressed against the oscillation frequency resulting from pulse stimulation, a straight line with a slope of one was obtained. The data in Figs. 9 and 10 of the present study lend further support to this notion. In Fig. 10, the mean admittance magnitude for 10 striolar cells begins to decrease near 50 Hz. This value corresponds to an interpolated value of 50 Hz resulting from analysis of membrane voltage oscillations in response to pulse current injections into 10 striolar cells (Fig. 9A). It is possible that hair cells in different regions of the SCC and utricle neuroepithelia may act as low-pass filters with different corner frequencies, which may be tuned at a given membrane potential by the mixture of activated ionic currents. These different filtering properties may result from differential topographical gene expression, because following complete loss of hair cells due to streptomycin ototoxicity, new hair cells with the same mixtures of ionic currents repopulate the same regions of the neuroepithelium as their predecessors (Masetto and Correia 1997a,b).

There is evidence for systematic regional variation in the response properties of both SCC and otolith organ afferents (Boyle et al. 1991; Goldberg 1991; O'Leary and Dunn 1976). Also, discrete groups of vestibular efferents project to different regions of the epithelia of the otolith organs and SCCs (Purcell and Perachio 1997). The results of the present study suggest that the different filtering properties of hair cells in different regions of the utricle and SCC must also be considered also in the interpretation of responses from the vestibular periphery.


    ACKNOWLEDGMENTS

We gratefully acknowledge the splendid technical support of M. E. Pacheco and W. E. Little. We thank Dr. K. J. Rennie for comments on the manuscript.

This work was supported by National Institute on Deafness and Other Communication Disorders Grant DC-01273 (Claude Pepper investigator award to M. J. Correia).


    FOOTNOTES

Address for reprint requests: M. J. Correia, Rm. 7.102, Medical Research Building, University of Texas Medical Branch, Galveston, Texas 77555-1063.

The costs of publication of this article were defrayed in part by the payment of page charges. The article must therefore be hereby marked "advertisement" in accordance with 18 U.S.C. Section 1734 solely to indicate this fact.

Received 22 September 1998; accepted in final form 4 August 1999.


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0022-3077/99 $5.00 Copyright © 1999 The American Physiological Society