The effect of hair bundle shape on hair bundle hydrodynamics of inner ear hair cells at low and high frequencies

Shatz, Lisa F.

doi:10.1016/s0378-5955(99)00205-1

Cited by 11 publications

(14 citation statements)

References 20 publications

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“…For higher frequencies, the dependence of H bn and Z rn on k increases in about the same way, and at very high frequencies both parameters vary as k 2 so that H l varies as 1=h for very high frequencies. These results agree with a previous study on hair bundle hydrodynamics for high and low frequencies (Shatz, 2000). An excellent match between the model's predictions and the measurements were obtained for prolate hemispheroids and the 2-D model, whose hydrodynamics is closest to a prolate hemispheroid.…”

Section: Comparison To Measurementssupporting

confidence: 90%

“…These effects can best be seen in Fig. 5 with the curve of the thinnest prolate hemispheroid, n 0 ¼ 0:2 or h=w ¼ 5, where the plate has the least effect on the torque (Shatz, 2000(Shatz, , 2004a. The curve consists of four regions: At low frequencies the effects of the plate dominate and the torque is proportional to k. In the second region, the plate's effect on the fluid decreases, and the effect of viscous forces due to motion of the hemispheroid becomes more important, leading to a decrease in the slope.…”

Section: Translational Motionmentioning

confidence: 92%

“…These three values were chosen because they fall within the range of measured static compliances of individual hair bundles, which is 5-1000 rad/N pm (Orman and Flock, 1981;Strelioff and Flock, 1984;Howard and Ashmore, 1986). The effects of the hair bundle's inertia are small except at high frequencies, and even then, only for wider shapes (Shatz, 2000), so the two inertial terms of H l ðf Þ, I and H i , were neglected. Eq.…”

Section: Comparison To Measurementsmentioning

confidence: 99%

“…A previous study of the effects of hair bundle shape on hair bundle hydrodynamics (Shatz, 2000) modeled the shape of a hair bundle as a hemispheroid. A hemispheroid was chosen since its shape and size can be easily changed while the rotational symmetry facilitates the calculations.…”

Section: Introductionmentioning

confidence: 99%

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The effect of hair bundle shape on hair bundle hydrodynamics of non-mammalian inner ear hair cells for the full frequency range

Shatz¹

2004

Hearing Research

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Section: Comparison To Measurementssupporting

confidence: 90%

Section: Translational Motionmentioning

confidence: 92%

Section: Comparison To Measurementsmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

See 2 more Smart Citations

The effect of hair bundle shape on hair bundle hydrodynamics of non-mammalian inner ear hair cells for the full frequency range

Shatz¹

2004

Hearing Research

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“…There have been theoretical studies on how the fluid flow stimulates different hair cells (14)(15)(16)(17)(18)(19)(20)(21)(22)(23).…”

Section: Introductionmentioning

confidence: 99%

Power Dissipation in the Subtectorial Space of the Mammalian Cochlea Is Modulated by Inner Hair Cell Stereocilia

Prodanovic

Gracewski

Nam

2015

Biophysical Journal

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The stereocilia bundle is the mechano-transduction apparatus of the inner ear. In the mammalian cochlea, the stereocilia bundles are situated in the subtectorial space (STS)--a micrometer-thick space between two flat surfaces vibrating relative to each other. Because microstructures vibrating in fluid are subject to high-viscous friction, previous studies considered the STS as the primary place of energy dissipation in the cochlea. Although there have been extensive studies on how metabolic energy is used to compensate the dissipation, much less attention has been paid to the mechanism of energy dissipation. Using a computational model, we investigated the power dissipation in the STS. The model simulates fluid flow around the inner hair cell (IHC) stereocilia bundle. The power dissipation in the STS because of the presence IHC stereocilia increased as the stimulating frequency decreased. Along the axis of the stimulating frequency, there were two asymptotic values of power dissipation. At high frequencies, the power dissipation was determined by the shear friction between the two flat surfaces of the STS. At low frequencies, the power dissipation was dominated by the viscous friction around the IHC stereocilia bundle--the IHC stereocilia increased the STS power dissipation by 50- to 100-fold. There exists a characteristic frequency for STS power dissipation, CFSTS, defined as the frequency where power dissipation drops to one-half of the low frequency value. The IHC stereocilia stiffness and the gap size between the IHC stereocilia and the tectorial membrane determine the characteristic frequency. In addition to the generally assumed shear flow, nonshear STS flow patterns were simulated. Different flow patterns have little effect on the CFSTS. When the mechano-transduction of the IHC was tuned near the vibrating frequency, the active motility of the IHC stereocilia bundle reduced the power dissipation in the STS.

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Indirect boundary element method for unsteady linearized flow over prolate and oblate spheroids and hemispheroidal protuberances

Shatz

2003

Numerical Methods in Fluids

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SUMMARYThe indirect boundary element method was used to study the hydrodynamics of oscillatory viscous ow over prolate and oblate spheroids, and over hemispheroidal bodies hinged to a plate. Analytic techniques, such as spheroidal co-ordinates, method of images, and series representations, were used to make the numerical methods more e cient. A novel method for computing the hydrodynamic torque was used, since for oscillatory ow the torque cannot be computed directly from the weightings. Instead, a Green's function for torque was derived to compute the torque indirectly from the weightings. For full spheroids, the method was checked by comparing the results to exact solutions at low and high frequencies, and to results computed using the singularity method. For hemispheroids hinged to a plate, the method for low frequencies was checked by comparing the results to previous results, and to exact solutions at high frequencies.

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The effect of hair bundle shape on hair bundle hydrodynamics of inner ear hair cells at low and high frequencies

Cited by 11 publications

References 20 publications

The effect of hair bundle shape on hair bundle hydrodynamics of non-mammalian inner ear hair cells for the full frequency range

The effect of hair bundle shape on hair bundle hydrodynamics of non-mammalian inner ear hair cells for the full frequency range

Power Dissipation in the Subtectorial Space of the Mammalian Cochlea Is Modulated by Inner Hair Cell Stereocilia

Indirect boundary element method for unsteady linearized flow over prolate and oblate spheroids and hemispheroidal protuberances

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