title: Study of the transient motion in the cochlea.
abstract: 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.
mesh_terms: D001489:Basilar Membrane / Q000502:physiology; D003051:Cochlea / Q000502:physiology*; D006801:Humans; D008433:Mathematics; D008954:Models, Biological; D009068:Movement; D013997:Time Factors