A model for the nonlinear mechanism responsible for cochlear amplification. (English) Zbl 1333.92011
Summary: 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.
MSC:
| 92C10 | Biomechanics |
| 35C20 | Asymptotic expansions of solutions to PDEs |
| 76L99 | Shock waves and blast waves in fluid mechanics |
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