A mathematical model of passive and active displacements of the basilar membrane

Abstract

On the basis of the physiological measurements made by v. Bekesy and Johnstone, we developed a mathematical model to describe passive and active displacement patterns of the basilar membrane. Approximation of the model functions to the measured values is achieved with the aid of the linear least squares method. Using frequency mapping, the distribution of the basilar membrane displacement is presented in three-dimensional graphic form. The resulting application possibilities of this approach, for example, to electronic simulation of inner car functions and speech processing systems, are discussed.