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Modeling of auditory spatial receptive fields with spherical approximation functions

R L Jenison1, R A Reale, J E Hind

  • 1Department of Psychology, University of Wisconsin, Madison, Wisconsin 53706, USA.

Journal of Neurophysiology
|November 18, 1998
PubMed
Summary

This study introduces a novel spherical approximation technique using von Mises basis functions to accurately model auditory receptive fields, overcoming distortions inherent in planar models for spatial hearing research.

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Area of Science:

  • Neuroscience
  • Computational Auditory Neuroscience
  • Mathematical Modeling

Background:

  • Traditional neural response modeling often uses Cartesian coordinates, leading to distortions on spherical surfaces.
  • Auditory receptive fields, crucial for spatial hearing, exist on a spherical domain.
  • Existing spherical approximation methods can introduce directional distortions.

Purpose of the Study:

  • To develop a spherical approximation technique for characterizing virtual space receptive fields (VSRFs) in the auditory cortex.
  • To introduce and utilize von Mises basis functions (VMBFs) to eliminate distortion in spherical approximations.
  • To present optimization equations for modeling VSRFs using VMBFs.

Main Methods:

  • Employed a spherical approximation technique based on first-spike latency in cat auditory cortex.

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  • Utilized von Mises basis functions (VMBFs) as an alternative to traditional planar Gaussians.
  • Applied gradient-descent search for optimal parameter estimation due to the nonorthogonal nature of VMBFs.

    • Main Results:

    • Successfully modeled virtual space receptive fields (VSRFs) on a spherical surface, eliminating distortion.
    • Investigated three VSRF classes: contralateral, frontal, and ipsilateral, analyzing residual errors.
    • Demonstrated the utility of VMBFs for accurate spatial receptive field modeling.

    Conclusions:

    • Spherical approximation techniques are essential for accurate spatial hearing models.
    • Von Mises basis functions provide a distortion-free method for modeling receptive fields on spherical surfaces.
    • Quantifying receptive field gradients is important for computational models of sound localization.