MATHEMATICAL MODELING OF THE AUDITORY PERIPHERY
Abstract
The auditory periphery is conventionally divided into three parts, namely, the outer, middle, and inner ear (or cochlea). Mathematical modeling of the auditory periphery has been used for increasing our understanding of its mechanics via the simulation of experimental results, and for estimating unknown parameters. The various techniques used in this study for modeling the auditory periphery are: (1) Green function methods for investigation of the external ear directional filter functions; (2) finite difference methods in cochlear mechanical model calculations; (3) dispersion relation tests of the consistency of model calculations; (4) dispersion relation checks of experimental cochlear response data for approximate consistency with the implications of causality, linearity, time translation invariance, and minimum phase behavior; (5) dispersion relation tests of the stability of the linear cochlear models with active elements; (6) the introduction of viscosity effects in cochlear mechanics in order to account for data on the low frequency cochlear input impedance; and (7) the incorporation of a non-linear feedback outer-hair-cell model into a cochlear model in order to account for the physiological and psychological data (such as spontaneous and induced acoustic emissions from human ears and their active non-linear interactions with external stimuli).
Degree
Ph.D.
Subject Area
Biophysics|Acoustics
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