Abstract
The organ of Corti (OC) in the cochlea is a significant structure for feeling sound. The components of OC and the interaction of the part with the surroundings contribute to the fact that the passive tuning of the cochlear macrostructure is unclear. Based on the interaction between the basilar membrane (BM), tectorial membrane (TM), reticular lamina (RL), and various parts of OC, a mechanical model of the cochlea is established to study the motion patterns of each part under the action of a certain pressure. The variational principle is applied to the calculation of the analytical expression of the displacement of the BM. The results of the analytical solution differ little from the experimental value, and the variation trend is consistent, which presents the correctness of the model. The parameter sensitivity analysis is carried out for obtaining the interaction principle and the primary and secondary roles of each component in the process of the sense of sound. The results show that the absence of the TM and the decrease in the stiffness of the outer hair cells (OHCs) and OHC bundles will shift vibratory response patterns to lower frequencies, in which the lack of TM will result in the greatest reduction of CF. The absence of RL exerts a negative influence on the CF as well as the amplitude of BM and thereby loss of hearing. Therefore, both TM and RL are essential structures during the process of the sense of sound. At the same time, the resonance frequency at the base of the BM is concentrated on the high-frequency segment, while the apex of the BM is mainly in the low frequency. Different points of BM correspond to different CF, which demonstrates the frequency selectivity of the BM.
Highlights
As a part of the section of the cochlea, OC plays a significant role in the process of the sense of sound. e incoming vibration from the middle ear will cause sound pressure waves in the inner ear, thereby moving the OC relative to surrounding structures. e relative motion will cause the impulse of the auditory nerve, which is the key to producing hearing in the brain
Erefore, in this paper, a cochlear mechanical model containing all parts of the OC was established according to the relative motion relations among the basilar membrane (BM), outer hair cells (OHCs), reticular lamina (RL), and tectorial membrane (TM). rough parameter sensitivity analysis, we mainly explored the role of RL in the cochlear sensory mechanism and the effect of the RL on the passive tuning of OC
Cos φ2A2, where E2 is the elastic modulus of OHCs, Aohc is the crosssectional area of OHCs, Lohc is the length of OHCs, and uohc is the axial deformation of OHCs
Summary
As a part of the section of the cochlea, OC plays a significant role in the process of the sense of sound. e incoming vibration from the middle ear will cause sound pressure waves in the inner ear, thereby moving the OC relative to surrounding structures. e relative motion will cause the impulse of the auditory nerve, which is the key to producing hearing in the brain. Erefore, in this paper, a cochlear mechanical model containing all parts of the OC was established according to the relative motion relations among the BM, OHCs, RL, and TM. The role of OHC bundles, OHCs, and TM in the passive mechanism of the cochlea was studied. Cos φ2A2 , where E2 is the elastic modulus of OHCs, Aohc is the crosssectional area of OHCs, Lohc is the length of OHCs, and uohc is the axial deformation of OHCs. uste uhb− middle A sinπLpc/b2 cos β sin(β − φ), and the integration formula of the strain energy of the OHC bundles is. Where ρohc is the density of OHCs, mohc is the mass of OHCs, uohc is the average displacement of OHCs, and vohc is the speed of OHCs. and the integration formula of the kinetic energy of the OHC bundles is Tste 32ρsteLsteh2stesinπLpc/bcos β sin(β − φ)2(wA), (17). Erefore, when the calculation point on the BM is determined, equation (25) is a function that changes with frequency f. ere is a frequency f that makes A0 get the maximum value, which is the CF of the solution point
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