A model for the nonlinear mechanism responsible for cochlear amplification

  • Received: 01 September 2013 Accepted: 29 June 2018 Published: 01 September 2014
  • MSC : Primary: 92C10, 74H10; Secondary: 35C20.

  • 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.

    Citation: Kimberly Fessel, Mark H. Holmes. A model for the nonlinear mechanism responsible for cochlear amplification[J]. Mathematical Biosciences and Engineering, 2014, 11(6): 1357-1373. doi: 10.3934/mbe.2014.11.1357

    Related Papers:

  • 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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