A two-dimensional model for the cochlea - I. The exact approach

Viergever, M. A., Kalker, J. J.


Journal of Engineering Mathematics 9 (4), p. 353-365


A two-dimensional model for the cochlea is developed. An integral equation is derived that describes the pressure difference between the scalae. For the main quantity, the transmembrane pressure, an ordinary differential equation is obtained, which appears to be an improvement of the well-known Peterson-Bogert equation. The results are valid for all frequencies; an assumption of long or short wavelengths is not necessary at all.