In this thesis, an electrical analogue of the human cochlea was constructed from the equations of cochlear motion and optimized to produce a response which agreed with the experimental response measured from the human cochlea. The response of the electrical analogue and the perturbation of the response for small changes in the parameters describing the physical structure of the cochlea were first calculated on a digital computer. This data was then used in a linear program to minimize the difference between the model response and that measured from the human cochlea. The procedure was then repeated until no further reduction occurred. The result was a new model of the cochlea, the response of which agreed more closely with that of the human cochlea than previous models.