Predicting the Effect of Physical Parameters on the Amplitude of the Passive Cochlear Model

Abstract

The Cochlea plays a crucial role in the hearing of mammalian species including man. The basic function of the cochlea is to map sounds of different frequencies into corresponding characteristic positions on the basilar membrane. Many disciplines meet in the study of the auditory system to understand the truth function of the cochlea. An abnormality or small perturbation in the physical parameters of the cochlea may result a malfunction in the auditory system. In this paper, we developed a mathematical model in the order to show numerically the effect of stiffness and damping on the amplitude displacement in the case of a passive cochlea with the objective to study the ear dysfunction.KEYWORDS: Passive, mathematial model, basilar membrane, damping, stiffness. RESUMENLa cóclea desempeña un papel crucial en la audición de algunos mamíferos, incluyendo los seres humanos. Su función básica es la de un mapa de los sonidos de diferentes frecuencias a las posiciones características correspondientes en la membrana basilar. Muchas disciplinas se encuentran en el estudio del sistema 26 auditivo para comprender la función de la verdad de la cóclea. Una anormalidad o una pequeña perturbación en la característica física de la cóclea puede producir un mal funcionamiento en el sistema auditivo. En este trabajo, se desarrolló un modelo matemático en el orden de mostrar numéricamente el efecto de rigidez y amortiguación sobre el desplazamiento de amplitud en el caso de una cóclea pasiva con el objetivo de estudiar la disfunción del oído.

Modeling the Social and Epidemiological Causes of Hearing Loss

“…An example of such a disease is the Alport syndrome [7] and Meniere's disease [8] . For these raisons, many mathematical models have been proposed to model the function and the dysfunction of the inner ear by using partial differential equation (PDEs) [7,8,9,10,11] . The epidemiological models in the beginning (1) has started by Graunt [12] then described by Kermack and Mckendric [13] by considering the total population into three classes namely susceptible (S) individuals, infected (I) individuals and recovered (R) individuals which is known to us as SIR epidemic model [14,15,16] .…”