A Shape Optimization Approach to the Design of a Cartilage Plate Used in Cartilage Tympanoplasty
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Abstract
This paper presents a shape optimization approach for a cartilage plate used in cartilage tympanoplasty to more closely approximate the original auditory characteristics of the human ear. First, we constructed a finite element model based on the geometric data of the middle ear, including the tympanic membrane, ossicles, and surrounding muscles. We then proposed a shape optimization method for designing the cartilage plate. The optimization problem was formulated with an objective function defined as the least squares difference between the amplitudes of the stapes post-repair and those in the healthy state across a wide frequency range. To enhance computational efficiency, we derived the shape gradient function and developed a method to calculate it using modal parameters. We employed the H1 gradient method for shape modification. Finally, two numerical examples, using a combination of CAE software and a custom program, were conducted. In an idealized model, the objective function decreased by 98%, while in a repaired tympanic membrane model, it decreased by 43%, demonstrating the effectiveness of our approach.
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This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
This work is licensed under a Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International License.
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