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Cochlear macromechanics: time domain solutions.

J B Allen, M M Sondhi

    The Journal of the Acoustical Society of America
    |July 1, 1979
    PubMed
    Summary
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    A new recursive algorithm combined with fast Fourier transform (FFT) convolution efficiently solves basilar membrane (BM) motion models. This method accurately simulates BM mechanical properties, matching experimental data.

    Area of Science:

    • Computational Auditory Neuroscience
    • Biophysics
    • Signal Processing

    Background:

    • The basilar membrane (BM) plays a crucial role in auditory frequency analysis.
    • Previous models of BM motion often faced computational limitations, especially with nonlinear properties.
    • Accurate modeling of BM mechanics is essential for understanding hearing.

    Purpose of the Study:

    • To introduce a novel computational method for solving a 2D integral equation describing basilar membrane motion.
    • To enable the simulation of basilar membrane mechanics with nonlinear properties.
    • To validate the new method against experimental data and assess the impact of specific mechanical features.

    Main Methods:

    • A recursive algorithm was developed for time-domain initial-value problems.

    Related Experiment Videos

  • Fast Fourier Transform (FFT) convolution was integrated for space-domain computations at each time step.
  • The method was applied to a 2D integral equation model of the basilar membrane.

    • Main Results:

    • The new method efficiently computes solutions for basilar membrane motion, accommodating nonlinearities.
    • Linear solutions obtained using the method show good agreement with experimental measurements by Rhode (1971).
    • Inclusion of longitudinal stiffness in the model was shown to improve the match with high-frequency experimental data.

    Conclusions:

    • The developed recursive algorithm with FFT convolution offers a computationally efficient and accurate approach for modeling basilar membrane motion.
    • This method advances the ability to simulate complex, nonlinear mechanical behaviors of the basilar membrane.
    • Longitudinal stiffness is a significant factor in accurately predicting the high-frequency response of the basilar membrane, aligning with experimental findings.