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Biomedical subjects

M H Holmes

Publications and source records attributed to M H Holmes.

20 records · Page 2Linked to original sources

Study of the transient motion in the cochlea.

The transient problem obtained from a three-dimensional hydroelastic model of the cochlea is studied. In the model, the fluid motion is described by the linearized Navier-Stokes equations, and the basilar membrane is modeled as an elastic plate. The resulting problem is first reduced through the use of a slender body approximation which is, in turn, simplified by introducing expansions in terms of the reciprocal of the Reynolds number. With this, the wave-like nature of the solution is analyzed, comparing it with the long-time solution, as well as with experiment.

Basilar Membrane↗

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.

Acoustics↗