This paper describes a model for generating the hair cell receptor potential based on a second-order Boltzmann function. The model includes only the resistive elements of the hair cell membranes with batteries across them and the series resistance of the external return path of the transducer current through the tissue of the cochlea. The model provides a qualitative description of signal processing by the hair cell transducer and shows that the nonlinearity of the hair cell transducer can give rise to nonlinear phenomena, such as intermodulation distortion products and two-tone suppression with patterns similar to those which have been recorded from the peripheral auditory system. Particular outcomes of the model are the demonstration that two-tone suppression depends not on the saturation of the receptor current, but on the behaviour of the hair cell transducer function close to the operating point. The model also shows that there is non-monotonic growth and phase change for any spectral component, but not for the fundamental of the receptor potential.
REFERENCES
1.
Arthur
, R. M.
, Pfeiffer
, R. R.
, and Suga
, N.
(1971
). “Properties of two-tone inhibition in primary auditory neurons
,” J. Physiol. (London)
212
, 593
–609
. 2.
Atherton, D. P. (1975). Nonlinear Control Engineering (Van Nostrand Reinhold, London).
3.
Brown
, A. M.
(1987
). “Acoustic distortion from rodent ears: A comparison of responses from rats, guinea pigs and gerbils
,” Hearing Res.
31
, 25
–38
. 4.
Brown
, A. M.
(1994
). “Modulation of the hair cell motor: A possible source of odd-order distortion
,” J. Acoust. Soc. Am.
96
, 2210
–2215
. 5.
Cheatham
, M. A.
, and Dallos
, P.
(1989
). “Two-tone suppression in inner hair cell responses
,” Hearing Res.
40
, 187
–196
. 6.
Cheatham
, M. A.
, and Dallos
, P.
(1992
). “Two-tone suppression in inner hair cell responses: Correlates of rate suppression in the auditory nerve
,” Hearing Res.
60
, 1
–12
. 7.
Cody
, A. R.
, and Russell
, I. J.
(1987
). “The responses of hair cells in the basal turn of the guinea-pig cochlea to tones
,” J. Physiol. (London)
383
, 551
–569
. 8.
Cody, A. R., and Russell, I. J. (1992). “The effects of intense acoustic stimulation on the nonlinear properties of mammalian hair cells,” in Noise-Induced Hearing Loss, edited by A. L. Dancer, D. Henderson, R. J. Salvi, and R. P. Hamernik (Mosby-Year Book, St. Louis), pp. 11–27.
9.
Cody
, A. R.
, and Russell
, I. J.
(1995
). “Time-varying voltage responses of mammalian hair cells to isoamplitude acoustic stimulation
,” Aud. Neurosci.
1
, 351
–361
. 10.
Crawford
, A. C.
, Evans
, M. G.
, and Fettiplace
, R.
(1989
). “Activation and adaptation of transducer currents in turtle hair cells
,” J. Physiol. (London)
419
, 405
–434
. 11.
Dallos, P. (1973). The Auditory Periphery. Biophysics and Physiology (Academic, New York).
12.
Dallos
, P.
(1986
). “Neurobiology of cochlear inner and outer hair cells: Intracellular recordings
,” Hearing Res.
22
, 185
–198
. 13.
Dallos
, P.
, and Cheatham
, M. A.
(1989
). “Nonlinearities in cochlear receptor potentials and their origins
,” J. Acoust. Soc. Am.
86
, 1790
–1796
. 14.
Dallos, P., and Cheatham, M. A. (1992). “Cochlear hair cell function reflected in intracellular recordings in vivo,” in Sensory Transduction, edited by D. P. Corey and S. D. Roper (The Rockefeller University Press, New York), pp. 372–393.
15.
Dallos
, P.
, Santos-Sacchi
, J.
, and Flock
, A.
(1982
). “Intracellular recordings from cochlear outer hair cells
,” Science
218
, 582
–584
. 16.
Engebretson
, A. M.
, and Eldredge
, D. H.
(1968
). “Model for the nonlinear characteristics of cochlear potentials
,” J. Acoust. Soc. Am.
44
, 548
–554
. 17.
Frank
, G.
, and Kössl
, M.
(1996
). “The acoustic two tone distortions and and their possible relation to changes in the gain and the operating point of the cochlear amplifier
,” Hearing Res.
98
, 104
–115
. 18.
Geisler
, C. D.
, Yates
, G. K.
, Patuzzi
, R. B.
, and Johnstone
, B. M.
(1990
). “Saturation of outer hair cell receptor currents causes two-tone suppression
,” Hearing Res.
44
, 241
–256
. 19.
Housley
, G. D.
, and Ashmore
, J. F.
(1992
). “Ionic currents of outer hair cells isolated from the guinea-pig cochlea
,” J. Physiol. (London)
448
, 73
–98
. 20.
Jaramillo
, F.
, Markin
, V. S.
, and Hudspeth
, A. J.
(1993
). “Auditory illusions and the single hair cell
,” Nature (London)
364
, 527
–529
. 21.
Javel
, E.
, Geisler
, C. D.
, and Ravindran
, A.
(1978
). “Two-tone suppression in the auditory nerve of the cat: Rate-intensity and temporal analyses
,” J. Acoust. Soc. Am.
63
, 1093
–1104
. 22.
Kössl
, M.
, and Russell
, I. J.
(1992
). “The phase and magnitude of hair cell receptor potentials and frequency tuning in the guinea pig cochlea
,” J. Neurosci.
12
, 1575
–1586
. 23.
Kros, C. J., Lennan, G. W. T., and Richardson, G. P. (1995). “Transducer currents and bundle movements in outer hair cells of neonatal mice,” in Active Hearing, edited by A. Flock, D. Ottoson, and M. Ulfendahl (Elsevier Science, Amsterdam), pp. 113–125.
24.
Nuttall
, A. L.
, and Dolan
, D. F.
(1993
). “Two-tone suppression of inner hair cell and basilar membrane responses in the guinea pig
,” J. Acoust. Soc. Am.
93
, 390
–400
. 25.
Popelka
, G. R.
, Osterhammel
, P. A.
, Nielsen
, L. H.
, and Rasmussen
, A. N.
(1993
). “Growth of distortion product otoacoustic emissions with primary-tone level in humans
,” Hearing Res.
71
, 12
–22
. 26.
Rhode
, W. S.
(1971
). “Observations of the vibrations of the basilar membrane in squirrel monkeys using the Mossbaver technique
,” J. Acoust. Soc. Am.
49
, 1218
–1231
. 27.
Robles, L., Ruggero, M. A., and Rich, N. C. (1989). “Nonlinear interactions in the mechanical response of the cochlea to two-tone stimuli,” in Cochlear Mechanisms, edited by J. P. Wilson and D. T. Kemp (Plenum, New York), pp. 369–375.
28.
Robles
, L.
, Ruggero
, M. A.
, and Rich
, N. C.
(1991
). “Two-tone distortion in the basilar membrane of the cochlea
,” Nature (London)
349
, 413
–414
. 29.
Russell
, I. J.
, and Kössl
, M.
(1992
). “Modulation of hair cell voltage responses to tones by low-frequency biasing of the basilar membrane in the guinea pig cochlea
,” J. Neurosci.
12
, 1587
–1601
. 30.
Russell, I. J., Kössl, M., and Murugasu, E. (1995). “A comparison between tone-evoked voltage responses of hair cells and basilar membrane displacements recorded in the basal turn of the guinea pig cochlea,” in Advances in Hearing Research, edited by G. A. Manley, G. M. Klump, C. Köppl, H. Fastl, and H. Oeckinghaus (World Scientific, Singapore), pp. 136–144.
31.
Russell
, I. J.
, Richardson
, G. P.
, and Cody
, A. R.
(1986
). “Mechanosensitivity of mammalian auditory hair cells in vitro
,” Nature (London)
321
, 517
–519
. 32.
Russell
, I. J.
, and Sellick
, P. M.
(1978
). “Intracellular studies of hair cells in the mammalian cochlear
,” J. Physiol. (London)
284
, 261
–290
. 33.
Santos-Sacchi
, J.
(1993
). “Harmonics of outer hair cell motility
,” Biophys. J.
65
, 2217
–2227
. 34.
Schmiedt
, R. A.
, and Adams
, J. C.
(1981
). “Stimulated acoustic emissions in the ear canal of the gerbil
,” Hearing Res.
5
, 295
–305
. 35.
Sellick
, P. M.
, and Russell
, I. J.
(1979
). “Two-tone suppression in cochlear hair cells
,” Hearing Res.
1
, 227
–236
. 36.
Sellick
, P. M.
, Patuzzi
, R.
, and Johnstone
, B. M.
(1982
). “Measurement of basilar membrane motion in the guinea pig using the Mossbauer technique
,” J. Acoust. Soc. Am.
72
, 131
–141
. 37.
Weiss
, T. F.
, and Leong
, R.
(1985
). “A model for signal transmission in an ear having hair cells with free-standing stereocilia. IV. Mechanoelectric transduction stage
,” Hearing Res.
20
, 175
–195
. 38.
Whitehead
, M. L.
, Lonsbury-Martin
, B. L.
, and Martin
, G. K.
(1992
). “Evidence for two discrete sources of distortion-product otoacoustic emission in rabbit: I. Differential dependence on stimulus parameters
,” J. Acoust. Soc. Am.
91
, 1587
–1607
. 39.
Zagaeski
, M.
, Cody
, A. R.
, Russell
, I. J.
, and Mountain
, D. C.
(1994
). “Transfer characteristic of the inner hair cell synapse: Steady-state analysis
,” J. Acoust. Soc. Am.
95
, 3430
–3434
. 40.
Zwislocki
, J. J.
(1986
). “Analysis of cochlear mechanics
,” Hearing Res.
22
, 155
–169
.
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