A model for the nonlinear mechanism responsible for cochlear amplification

Kimberly Fessel; Mark H. Holmes

doi:10.3934/mbe.2014.11.1357

Article Contents

2014, Volume 11, Issue 6: 1357-1373. Doi: 10.3934/mbe.2014.11.1357

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A model for the nonlinear mechanism responsible for cochlear amplification

Kimberly Fessel^1, and
Mark H. Holmes^1,

1.
Department of Mathematical Sciences, Rensselaer Polytechnic Institute, Troy, NY 12180-3590

Received: August 31, 2013

Revised: June 30, 2014

Published: August 2014

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Abstract

A nonlinear model for the mechanism responsible for the amplification of the sound wave in the ear is derived using the geometric and material properties of the system. The result is a nonlinear beam equation, with the nonlinearity appearing in a coefficient of the equation. Once derived, the beam problem is analyzed for various loading conditions. Based on this analysis it is seen that the mechanism is capable of producing a spatially localized gain, as required by any amplification mechanism, but it is also capable of increasing the spatial contrast in the signal.

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Mathematics Subject Classification: Primary: 92C10, 74H10; Secondary: 35C20.

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