Cochlear outer hair cells (OHC) are critically important for the amplification and sharp frequency selectivity of the mammalian ear. The microchamber experiment has been an effective tool to analyze the OHC high-frequency performance. In this study, the OHC electrical stimulation in the microchamber is simulated. The model takes into account the inertial and viscous properties of fluids inside and outside the cell as well as the viscoelastic and piezoelectric properties of the cell composite membrane (wall). The closed ends of the cylindrical cell were considered as oscillatory rigid plates. The final solution was obtained in terms of Fourier series, and it was checked against the available results of the microchamber experiment. The conditions of the interaction between the cell and pipette was analyzed, and it was found that the amount of slip along the contact surface has a significant effect on the cell electromotile response. The cell’s length changes were computed as a function of frequency, and their dependence on the viscosities of both fluids and the cell wall was analyzed. The distribution of the viscous losses inside the fluids was also estimated. The proposed approach can help in a better understanding of the high-frequency OHC electromotility under experimental and physiological conditions.

1.
Brownell
,
W. E.
,
Bader
,
C. D.
,
Bertrand
,
D.
, and
de Ribaupierre
,
Y.
(
1985
). “
Evoked mechanical responses of isolated cochlear outer hair cells
,”
Science
224
,
194
196
.
2.
Brownell
,
W. E.
,
Spector
,
A. A.
,
Raphael
,
R. M.
, and
Popel
,
A. S.
(
2001
). “
Micro- and nanomechanics of the cochlear outer hair cell
,”
Annu. Rev. Biomed. Eng.
3
,
169
194
.
3.
Currie, C. E. (1974). Fundamental Mechanics of Fluids (McGraw-Hill, New York).
4.
Dallos, P. (1996). “Overview: Cochlear Neurobiology,” in The Cochlea, edited by P. Dallos, A. N. Popper, and R. R. Fay (Springer, New York), pp. 1–43.
5.
Dallos
,
P.
, and
Evans
,
B. N.
(
1995
). “
High frequency motility of outer hair cells and the cochlear amplifier
,”
Science
267
,
2006
2009
.
6.
Dallos
,
P.
,
Hallworth
,
R.
, and
Evans
,
B. N.
(
1993
). “
Theory of electrically driven shape changes of cochlear outer hair cells
,”
J. Neurophysiol.
70
,
299
323
.
7.
Ehrenstein
,
D.
, and
Iwasa
,
K. H.
(
1996
). “
Viscoelastic relaxation in the membrane of the auditory outer hair cell
,”
Biophys. J.
71
,
1087
1094
.
8.
Evans
,
B. N.
,
Hallworth
,
R.
, and
Dallos
,
P.
(
1991
). “
Outer hair cell electromotility: The sensitivity and vulnerability of the dc component
,”
Hear. Res.
52
,
288
304
.
9.
Evans, E. A., and Skalak, R. (1980). Mechanics and Thermodynamics of Biomembranes (CRC Press, Boca Raton, FL).
10.
Frank
,
G.
,
Hemmer
,
W.
, and
Gummer
,
A. W.
(
1999
). “
Limiting dynamics of high-frequency electromechanical transduction of outer hair cells
,”
Proc. Natl. Acad. Sci. U.S.A.
96
,
4420
4425
.
11.
Fung, Y. C. (1993). Biomechanics: Mechanical Properties of Living Tissues (Springer, New York).
12.
Gale
,
J. E.
, and
Ashmore
,
J. F.
(
1997a
). “
The outer hair cell motor in membrane patches
,”
Pfluegers Arch.
434
,
267
271
.
13.
Gale
,
J. E.
, and
Ashmore
,
J. F.
(
1997b
). “
An intrinsic frequency limit to the cochlear amplifier
,”
Nature (London)
389
,
63
66
.
14.
Geisler, C. D. (1998). From Sound to Synapse (Oxford University Press, New York).
15.
Hallworth, R. (1997). “Modulation of OHC force generation and stiffness by agents known to affect hearing,” in Diversity in Auditory Mechanics, edited by E. R. Lewis, G. R. Long, R. F. Lyon, P. M. Narins, C. R. Steele, and E. Hecht-Poinar (World Scientific, Singapore), pp. 524–530.
16.
Hallworth
,
R.
,
Evans
,
B. N.
, and
Dallos
,
P.
(
1993
). “
The location and mechanism of electromotility in guinea pig outer hair cells
,”
J. Neurophysiol.
70
,
549
58
.
17.
He
,
D. Z. Z.
, and
Dallos
,
P.
(
2000
). “
Properties of voltage-dependent somatic stiffness of cochlear outer hair cells
,”
J. Assoc. Res. Otolaryngol.
1
,
64
81
.
18.
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
.
19.
Huang
,
G.
, and
Santos-Sacchi
,
J.
(
1994
). “
Motility voltage sensor of the outer hair cell resides within the lateral plasma membrane
,”
Proc. Natl. Acad. Sci. U.S.A.
91
,
12268
12272
.
20.
Iwasa
,
K. H.
, and
Adachi
,
M.
(
1997
). “
Force generation in the outer hair cell of the cochlea
,”
Biophys. J.
73
,
546
555
.
21.
Li
,
Z.
,
Anvari
,
B.
,
Takashima
,
M.
,
Brecht
,
P.
,
Torres
,
J. H.
, and
Brownell
,
W. E.
(
2002
). “
Membrane tether formation from outer hair cells with optical tweezers
,”
Biophys. J.
82
,
1386
1395
.
22.
Liberman, M. C., Gao, J., He, D. Z., Wu, X., Jia, S., and Zuo, J. (2002). “Prestin is required for electromotility of the outer hair cell and for the cochlear amplifier,” Nature 419, 300–304.
23.
Lu, P. (1977). Introduction to the Mechanics of Viscous Fluids (Hemisphere, Washington).
24.
Luby-Phelps
,
K.
(
2000
). “
Cytoarchitecture and physical properties of cytoplasm: Volume, viscosity, diffusion, intracellular surface area
,”
Int. Rev. Cytol.
192
,
189
221
.
25.
Ospeck
,
M.
,
Dong
,
X. X.
, and
Iwasa
,
K. H.
(
2003
). “
Limiting frequency of the cochlear amplifier based on electromotility of outer hair cells
,”
Biophys. J.
84
,
739
749
.
26.
Ratnanather, J. T., Spector, A. A., Popel, A. S., and Brownell, W. E. (1996). “Is the outer hair cell wall viscoelastic?,” in Proceedings of the Congress in Diversity in Auditory Mechanics, edited by E. R. Lewis, G. R. Long, R. F. Lyon, P. M. Narins, C. R. Steele, and E. Hecht-Poinar (World Scientific, Singapore), pp. 601–607.
27.
Ruggero
,
M. A.
(
1992
). “
Responses to sound of the basilar membrane of the mammalian cochlea
,”
Curr. Opin. Neurobiol.
2
,
449
456
.
28.
Santos-Sacchi
,
J.
(
1992
). “
On the frequency limit and phase of outer hair cell motility: Effects of the membrane filter
,”
J. Neurosci.
12
,
1906
1916
.
29.
Santos-Sacchi
,
J.
(
2002
). “
Functional motor microdomains of the outer hair cell lateral membrane
,”
Pfluegers Arch.
445
,
331
336
.
30.
Santos-Sacchi
,
J.
,
Huang
,
G. J.
, and
Wu
,
M.
(
1997
). “
Mapping the distribution of outer hair cell voltage-dependent conductances by electrical amputation
,”
Biophys. J.
73
,
1424
1429
.
31.
Santos-Sacchi
,
J.
,
Kakehata
,
S.
,
Kikuchi
,
T.
,
Katori
,
Y.
, and
Takasaka
,
T.
(
1998
). “
Density of motility-related charge in the outer hair cell of the guinea pig is inversely related to best frequency
,”
Neurosci. Lett.
256
,
155
158
.
32.
Spector
,
A. A.
(
2001
). “
A nonlinear electroelastic model of the auditory outer hair cell
,”
Int. J. Solids Struct.
38
,
2115
2129
.
33.
Spector
,
A. A.
, and
Jean
,
R. P.
(
2003
). “
Elastic moduli of the piezoelectric cochlear outer hair cell membrane
,”
Exp. Mech.
43
,
355
360
.
34.
Spector
,
A. A.
, and
Jean
,
R. P.
(
2004
). “
Modes and balance of energy in the piezoelectric cochlear outer hair cell wall
,”
J. Biomech. Eng.
126
,
17
25
.
35.
Spector
,
A. A.
,
Brownell
,
W. E.
, and
Popel
,
A. S.
(
1998
). “
Estimation of elastic moduli and bending stiffness of the anisotropic outer hair cell wall
,”
J. Acoust. Soc. Am.
103
,
1007
1011
.
36.
Spector
,
A. A.
,
Brownell
,
W. E.
, and
Popel
,
A. S.
(
1999
). “
Nonlinear active force generation by cochlear outer hair cell
,”
J. Acoust. Soc. Am.
105
,
2414
2420
.
37.
Spector
,
A. A.
,
Brownell
,
W. E.
, and
Popel
,
A. S.
(
2003
). “
Effect of outer hair cell piezoelectricity on high-frequency receptor potentials
,”
J. Acoust. Soc. Am.
113
,
453
461
.
38.
Spector, A. A., Popel, A. S., Eatock, R. A., and Brownell, W. E. (2004). “The effect of mechnosensitive channels in the lateral wall on high- and moderate frequency receptor potentials of the outer hair cell,” in “Abstract of the 27th Annual Midwinter Research Meeting of ARO,” February, 2004, Daytona Beach, FL, p. 108.
39.
Tolomeo, J. A. (1995). “Models of the structure and motility of the auditory outer hair cell,” Ph.D. thesis, Stanford University.
40.
Tolomeo
,
J. A.
, and
Steele
,
C. R.
(
1995
). “
Orthotropic piezoelectric properties of cochlear outer hair cell wall
,”
J. Acoust. Soc. Am.
97
,
3006
3011
.
41.
Tolomeo
,
J. A.
, and
Steele
,
C. R.
(
1998
). “
A dynamic model of outer hair cell motility including intracellular and extracellular viscosity
,”
J. Acoust. Soc. Am.
103
,
524
534
.
42.
Weitzel
,
E. K.
,
Tasker
,
R.
, and
Brownell
,
W. E.
(
2003
). “
Outer hair cell piezoelectricity: Frequency response enhancement and resonance behavior
,”
J. Acoust. Soc. Am.
114
,
1462
1466
.
43.
Zhang
,
W.
, and
Stone
,
H. A.
(
1998
). “
Oscillatory motions of circular disks and nearly spherical particles in viscous flows
,”
J. Fluid Mech.
367
,
329
358
.
44.
Zheng
,
J.
,
Shen
,
W.
,
He
,
D. Z.-Z.
,
Long
,
K. B.
,
Madison
,
L. D.
, and
Dallos
,
P.
(
2000
). “
Prestin is the motor protein of cochlear outer hair cell
,”
Nature (London)
405
,
149
155
.
This content is only available via PDF.
You do not currently have access to this content.