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Fast time-domain solution of a nonlinear three-dimensional cochlear model using the fast Fourier transform
1Faculty of Design, Kyushu University, 4-9-1 Shiobaru, Minamiku, Fukuoka 815-8540, Japan.
The Journal of the Acoustical Society of America
|October 31, 2021
Summary
This study introduces a faster method for simulating the nonlinear behavior of the human cochlea using the fast Fourier transform (FFT). This computational advancement enables more detailed 3D cochlear models for understanding hearing.
Area of Science:
- Biophysics
- Computational Neuroscience
- Auditory Neuroscience
Background:
- Human hearing relies on the nonlinear dynamics of the cochlea.
- Accurate 3D cochlear models are crucial for understanding auditory function.
- Traditional time-domain solutions are computationally intensive.
Purpose of the Study:
- To develop a computationally efficient method for solving nonlinear 3D cochlear models.
- To accelerate the simulation of cochlear mechanics.
- To enable the creation of more complex and detailed 3D cochlear models.
Main Methods:
- Implemented a time-domain solution for a nonlinear 3D cochlear model.
- Replaced computationally expensive matrix products (n^2) with the fast Fourier transform (FFT) (n log n).
- Validated the FFT approach against matrix product simulations and tested on moderate and fine grid settings.
Main Results:
- The FFT-based method significantly reduced computation time by up to 100x.
- The FFT approach yielded similar results to matrix products under coarse grid settings.
- The FFT method successfully computed 3D models at moderate and fine grids, which were previously unsolvable.
Conclusions:
- The FFT-based approach offers a fast and efficient numerical solution for nonlinear 3D cochlear models.
- This method enhances the feasibility of developing complex 3D models for studying cochlear mechanics.
- The findings support advancements in understanding the biophysical basis of human hearing.
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