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Order reduction and efficient implementation of nonlinear nonlocal cochlear response models.

Maurice Filo1,2, Fadi Karameh3, Mariette Awad3

  • 1Mechanical Engineering Department, University of California, Santa Barbara Engineering II, Room 2231, Santa Barbara, CA, 93106-5070, USA. filo@umail.ucsb.edu.

Biological Cybernetics
|October 19, 2016
PubMed
Summary
This summary is machine-generated.

This study simplifies complex cochlear models using control theory, significantly reducing computational load. The new models accurately simulate auditory responses, enabling easier analysis of cochlear mechanics.

Keywords:
Auditory perceptionBalanced realizationsCochlear modelingModel order reductionNonlinear state space descriptions

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Area of Science:

  • Auditory Neuroscience
  • Biophysics
  • Control Theory

Background:

  • The cochlea processes sound via mechanical tuning and electrical transduction.
  • Cochlear models often involve complex fluid-membrane interactions, leading to high computational costs.
  • Existing models struggle with simulating nonlinear spatiotemporal dynamics like otoacoustic emissions.

Purpose of the Study:

  • To develop a computationally efficient framework for modeling cochlear mechanics.
  • To reduce the order of nonlinear cochlear models while maintaining accuracy.
  • To enable practical simulation and analysis of cochlear responses.

Main Methods:

  • Reformulated a nonlinear 2D cochlear model into discrete state-space models using a control-theoretic framework.
  • Employed sparse matrix structures for efficient numerical computations.
  • Utilized balanced transformation techniques and Hankel singular values for model order reduction.

Main Results:

  • Achieved an 8-fold reduction in model order and a 25-fold decrease in computational complexity.
  • Demonstrated accurate simulations of cochlear responses to tones and speech signals.
  • Validated the reduced-order models against the original high-order model in frequency and spatiotemporal domains.

Conclusions:

  • Control-theoretic model reduction offers a computationally efficient approach for analyzing cochlear mechanics.
  • The framework can be applied to a broad range of cochlear models, including those addressing micro- and macro-mechanical properties.
  • Simplified models facilitate the study of complex auditory phenomena and device design.