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A hydroelastic model of macromechanics in the endolymphatic vestibular canal

Published online by Cambridge University Press:  26 April 2006

R. D. Rabbitt  and
E. R. Damiano
R. D. Rabbitt
Affiliation:
Department of Mechanical Engineering, Washington University, St. Louis, MO 63130, USA
E. R. Damiano
Affiliation:
Department of Mechanical Engineering, Washington University, St. Louis, MO 63130, USA Current address: Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180, USA.
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Abstract

A hydroelastic model describing the mechanics of the human semicircular canal is presented that extends previous work to address the influence of the shape of the labyrinth and the interaction between the endolymph and the cupula. The analysis is based extensively on the three-dimensional geometry and structure of the system and exploits the slender toroidal geometry to obtain an asymptotic solution describing the velocity distribution of the endolymph, the pressure distribution and the deflection of the cupula. All parameters appearing in the model are explicitly defined in terms of physical properties and the geometry. Results for the structure of an infant human endolymphatic canal agree well with experimental measurements of the end-organ velocity gain and phase over the entire physiological range of angular head frequencies. From 0.09 to 1.5 Hz the mechanical response relative to head velocity is essentially constant and the end-organ acts as an angular velocity transducer. Below 0.09 Hz the velocity gain is diminished and above 1.5 Hz the velocity gain is enhanced. For a 1 rad sinusoidal rotation of the head, the analysis predicts an average cupula displacement for the infant canal of approximately 8 × 10−5 cm at 0.09 Hz and 2 × 10−3 cm at 2.0 Hz.

Type
Research Article
Information
Journal of Fluid Mechanics , Volume 238 , May 1992 , pp. 337 - 369
Copyright
© 1992 Cambridge University Press

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