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

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.

The frequency response of rat vibrissae to sound

The motion of isolated rat vibrissae due to low frequency sound has been modeled and measured with good agreement (within a factor of 2) between the data and the model's predictions. As had been done in previous studies on the response of rat vibrissae to tactile stimulation [Hartmann, M. J., Johnson, N. J., Towal, R. B., and Assad, C., J. Neurosci 23, 6510-6519 (2003) and Neimark, M. A., Andermann, A. L., Hopfield, J. J., and Moore, C. I., J. Neurosci 23, 6449-6509 (2003)] the vibrissae were modeled as thin conical beams. The force of the vibrating air on a vibrissa was modeled using the exact solution for a vibrating infinite cylinder in linear fluid. A finite element method was used to model the motion of a single vibrissa fixed at its base, using the aforementioned fluid force. Values for Young's modulus and vibrissa mass density were taken from a previous study [Neimark et al. (above)]. The model had no freely fitted parameters. Motion of isolated vibrissae was measured using a video camera with microscope. The sound stimulation was created using a stereo speaker connected to a signal generator. The tuning was found to be sharp, with quality factors that varied between 3 and 7, much sharper than the motion of cricket cercal hairs or in vitro inner ear hair bundles.

What have lizard ears taught us about auditory physiology?

The structure of the basilar papilla of the inner ear of lizards is the most diverse among all vertebrates. Research on a variety of lizard ears, animals that are remarkably robust under laboratory conditions, has provided the field of auditory research with valuable information, particularly on the minimum structural requirements for sensitive, selective hearing and on the importance of the tectorial membrane and active processes in this regard. Despite the absence of a tuned basilar membrane, lizard ears produce highly frequency selective hearing through micromechanical tuning of small, resonant hair-cell-tectorial units or of free-standing hair bundles. These units are driven by an active process that also underlies spontaneous and other otoacoustic emissions. Lizard ears provided the first in vivo evidence that the active process is calcium-sensitive and lies within the stereovillar bundles of the hair cells.