Title :
A new mathematical model for the auditory system
Author :
Wan, Wanggan ; Fan, Changxin
Author_Institution :
Dept. of Inf. Eng., Xidian Univ., Shaanxi, China
Abstract :
The assumption of H.B. Atabek (1961) is applied to the Navier-Stokes equation to solve the problem of two-dimensional unsteady flow in the cochlea of the auditory system. The pressure gradient distribution for cochlear fluid is obtained and then used to develop a new mathematical model for the auditory system. By sampling the space coordinate along the basilar membrane, the partial differential equation is changed into a set of ordinary differential equations which can be solved in the time domain. The transfer function of the auditory model is finally derived using a recurrent method
Keywords :
Navier-Stokes equations; biological fluid dynamics; differential equations; ear; hearing; transfer functions; Navier-Stokes equation; auditory system; basilar membrane; cochlea; mathematical model; ordinary differential equations; partial differential equation; pressure gradient distribution; recurrent method; time domain solution; transfer function; two-dimensional unsteady flow; Auditory system; Difference equations; Differential equations; Ear; Frequency response; Mathematical model; Partial differential equations; Sampling methods; Speech analysis; Transfer functions;
Conference_Titel :
Circuits and Systems, 1991. Conference Proceedings, China., 1991 International Conference on
Conference_Location :
Shenzhen
DOI :
10.1109/CICCAS.1991.184267
