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The role of organ of Corti mass in passive cochlear tuning
Authors:de La Rochefoucauld Ombeline  Olson Elizabeth S
Affiliation:Department of Otolaryngology, Head and Neck Surgery, Columbia University, New York, New York, USA. or2107@columbia.edu
Abstract:The mechanism for passive cochlear tuning remains unsettled. Early models considered the organ of Corti complex (OCC) as a succession of spring-mass resonators. Later, traveling wave models showed that passive tuning could arise through the interaction of cochlear fluid mass and OCC stiffness without local resonators. However, including enough OCC mass to produce local resonance enhanced the tuning by slowing and thereby growing the traveling wave as it approached its resonant segment. To decide whether the OCC mass plays a role in tuning, the frequency variation of the wavenumber of the cochlear traveling wave was measured (in vivo, passive cochleae) and compared to theoretical predictions. The experimental wavenumber was found by taking the phase difference of basilar membrane motion between two longitudinally spaced locations and dividing by the distance between them. The theoretical wavenumber was a solution of the dispersion relation of a three-dimensional cochlear model with OCC mass and stiffness as the free parameters. The experimental data were only well fit by a model that included OCC mass. However, as the measurement position moved from a best-frequency place of 40 to 12 kHz, the role of mass was diminished. The notion of local resonance seems to only apply in the very high-frequency region of the cochlea.
Keywords:λ  wavelength of the traveling wave (cm)  mocc  OCC effective mass/unit area (g/cm2)  ρ  fluid density (g/cm3)  S  OCC stiffness/unit area (dyne/cm3)  fr  resonant frequency (Hz)  k  local wavenumber of the traveling wave (1/cm)  PST  scala tympani pressure close to the OCC (dyne/cm2)  PSV  scala vestibuli pressure close to the OCC (dyne/cm2)  Zocc  OCC specific acoustic impedance (dyne s/cm3)  ω = 2πf  radial frequency (radian/s)  R  OCC resistance/unit area (dyne s/cm3)  z  vz  az  displacement velocity and acceleration of OCC perpendicular to its local plane (cm  cm/s  cm/s2)  heq = Q  equivalent height of the fluid (cm)  mfluid  effective fluid mass (g/cm2)  h  height of the scala (cm)  b  scala width (cm)  ?  BM width (cm)  b0  parameter for the model (unitless)  kexp  experimental wavenumber (1/mm)  d  longitudinal distance along OCC (cm)  φ  phase (radians)
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