An analysis of a low-frequency model of the cochlea

An analysis is made of the low-frequency behavior of a three-dimensional hydroelastic model of the cochlea. In essence, the fluid motion is described using the linearized Navier-Stokes equations and the basilar membrane is modeled as an elastic plate. It is found that, for the lower frequencies, resonating frequencies are present and are approximately 4 HZ apart. The problem is solved and an analysis is made of the effects of the geometry on the motion of the wave. To conclude, an asymptotic formula is derived for the place of maximum amplitude and it is found to compare favorably with von Békésy's experimental results.