Mathematical modeling of the radial profile of basilar membrane vibrations in the inner ear

ME Homer; AR Champneys; GW Hunt; Nigel Cooper

Mathematical modeling of the radial profile of basilar membrane vibrations in the inner ear

ME Homer, AR Champneys, GW Hunt, Nigel Cooper

Research output: Working paper

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Abstract

Motivated by recent experimental results we seek an explanation of asymmetry in the radial profile of basilar membrane vibrations in the inner ear. We study a sequence of one-dimensional beam models which take into account variations in the bending stiffness of the basilar membrane as well as the potential presence of structural hinges. Our results suggest that the main cause of asymmetry is likely to be differences between the boundary conditions at the two extremes of the basilar membrane's width. This has fundamental implications for more detailed numerical simulations of the entire cochlea.

Original language	English
Publication status	Unpublished - May 2001

Bibliographical note

Additional information: Preprint of a paper later updated in August, 2003 and subsequently published by the American Institute of Physics, (2004) Journal of the Acoustical Society of America 116 (2), pp. 1025-1034. ISSN 0001-4966

Research Groups and Themes

Engineering Mathematics Research Group

Keywords

theoretical vibrating systems
vibrations of strings rods, and beams
cochlear mechanics
experimental vibrating systems

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2001r24Submitted manuscript, 163 KB

http://hdl.handle.net/1983/519

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1 Article (Academic Journal)

Mathematical modeling of the radial profile of basilar membrane vibrations in the inner ear
Homer, M., Champneys, A., Hunt, G. & Cooper, N., Aug 2004, In: Journal of the Acoustical Society of America. 116 (2), p. 1025 - 1034 10 p.
Research output: Contribution to journal › Article (Academic Journal) › peer-review
25 Citations (Scopus)

Cite this

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N2 - Motivated by recent experimental results we seek an explanation of asymmetry in the radial profile of basilar membrane vibrations in the inner ear. We study a sequence of one-dimensional beam models which take into account variations in the bending stiffness of the basilar membrane as well as the potential presence of structural hinges. Our results suggest that the main cause of asymmetry is likely to be differences between the boundary conditions at the two extremes of the basilar membrane's width. This has fundamental implications for more detailed numerical simulations of the entire cochlea.

AB - Motivated by recent experimental results we seek an explanation of asymmetry in the radial profile of basilar membrane vibrations in the inner ear. We study a sequence of one-dimensional beam models which take into account variations in the bending stiffness of the basilar membrane as well as the potential presence of structural hinges. Our results suggest that the main cause of asymmetry is likely to be differences between the boundary conditions at the two extremes of the basilar membrane's width. This has fundamental implications for more detailed numerical simulations of the entire cochlea.

KW - theoretical vibrating systems

KW - vibrations of strings rods, and beams

KW - cochlear mechanics

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BT - Mathematical modeling of the radial profile of basilar membrane vibrations in the inner ear

ER -

Mathematical modeling of the radial profile of basilar membrane vibrations in the inner ear

Abstract

Bibliographical note

Research Groups and Themes

Keywords

Access to Document

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Research output

Mathematical modeling of the radial profile of basilar membrane vibrations in the inner ear

Cite this