Analysis of the mechano-acoustic influence of the tympanic cavity in the auditory system

Measuring absorbed energy in the human auditory system using finite element models: A comparison with experimental results

BACKGROUND

There are different ways to analyze energy absorbance (EA) in the human auditory system. In previous research, we developed a complete finite element model (FEM) of the human auditory system.

OBJECTIVE

In this current work, the external auditory canal (EAC), middle ear, and inner ear (spiral cochlea, vestibule, and semi-circular canals) were modelled based on human temporal bone histological sections.

METHODS

Multiple acoustic, structure, and fluid-coupled analyses were conducted using the FEM to perform harmonic analyses in the 0.1-10 kHz range. Once the FEM had been validated with published experimental data, its numerical results were used to calculate the EA or energy reflected (ER) by the tympanic membrane. This EA was also measured in clinical audiology tests which were used as a diagnostic parameter.

RESULTS

A mathematical approach was developed to calculate the EA and ER, with numerical and experimental results showing adequate correlation up to 1 kHz. Another published FEM had adapted its boundary conditions to replicate experimental results. Here, we recalculated those numerical results by applying the natural boundary conditions of human hearing and found that the results almost totally agreed with our FEM.

CONCLUSION

This boundary problem is frequent and problematic in experimental hearing test protocols: the more invasive they are, the more the results are affected. One of the main objectives of using FEMs is to explore how the experimental test conditions influence the results. Further work will still be required to uncover the relationship between middle ear structures and EA to clarify how to best use FEMs. Moreover, the FEM boundary conditions must be more representative in future work to ensure their adequate interpretation.

Morphology of human ear canal and its effect on sound transmission

The ear canal (EC) is essential for sound transfer and crucial for hearing. Some pathological conditions may modify its morphology, leading to EC sound pressure redistribution, and stapes footplate displacement (FPD) gain alteration. However, no consensus regarding pathological EC and its impact on sound transfer has yet been achieved. To address the effect of morphology of EC on sound pressure redistribution and FPD gain. Varied pathological EC finite element (FE) models were constructed and analyzed based on FE analysis. The results indicated that canal wall down mastoidectomy decreases the second resonance frequency of the EC. The canal wall down mastoidectomy, with conchaplasty increased the first resonance frequency, but decreased the second along with the interval sound pressure gain increased, following which the FPD gain was altered. Stenosis of the EC at the internal portion decreased the second resonance frequency with minimal effect to the first part. When the stenosis moved to the outer portion of the EC, the first resonance frequency decreased, and the second one increased, along with the interval sound pressure gain decreased and FPD gain. Finally, the simplified EC model exerted a minimal effect on sound transfer. The minimal change in EC, such as simplification, straightening, canal wall down mastoidectomy, or enlargement, moderately affects the sound transfer; however, the EC stenosis deteriorates the sound transfer remarkably.

Analysis of the Mechanical Properties of the Human Tympanic Membrane and Its Influence on the Dynamic Behaviour of the Human Hearing System

The difficulty to estimate the mechanical properties of the tympanic membrane (TM) is a limitation to understand the sound transmission mechanism. In this paper, based on finite element calculations, the sensitivity of the human hearing system to these properties is evaluated. The parameters that define the bending stiffness properties of the membrane have been studied, specifically two key parameters: Young's modulus of the tympanic membrane and the thickness of the eardrum. Additionally, it has been completed with the evaluation of the presence of an initial prestrain inside the TM. Modal analysis is used to study the qualitative characteristics of the TM comparing with vibration patterns obtained by holography. Higher-order modes are shown as a tool to identify these properties. The results show that different combinations of elastic properties and prestrain provide similar responses. The presence of prestrain at the membrane adds more uncertainty, and it is pointed out as a source for the lack of agreement of some previous TM elastic modulus estimations.