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Simple models for excitable and oscillatory neural networks

D Taylor1, P Holmes

  • 1Iomega Corporation, Milpitas, CA 95035, USA.

Journal of Mathematical Biology
|December 4, 1998
PubMed
Summary

This study models lamprey locomotion using coupled oscillators, capturing excitable and bursting dynamics. The findings offer insights into neural control of movement and biological pattern generation.

Area of Science:

  • Computational Neuroscience
  • Biophysics
  • Systems Biology

Background:

  • Central pattern generators (CPGs) are crucial for rhythmic behaviors like locomotion.
  • Lamprey CPGs are well-studied models for understanding neural control of movement.
  • Existing models often simplify oscillator dynamics, potentially missing key biological features.

Purpose of the Study:

  • To investigate a novel simple oscillator model with internal structure for lamprey CPGs.
  • To capture both excitable and bursting dynamics relevant to biological systems.
  • To analyze coupled oscillator behaviors and traveling wave patterns.

Main Methods:

  • Developed a simple oscillator model inspired by Hodgkin-Huxley equations.
  • Analyzed pairs of coupled oscillators with excitatory and inhibitory connections.

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  • Simulated traveling wave patterns and body shapes using a double oscillator chain and kinematic model.

    • Main Results:

    • The model successfully captures excitable and bursting dynamics.
    • Analysis revealed patterns of coupled oscillator interactions.
    • Simulations demonstrated the generation of realistic lamprey body shapes through coupled oscillators.

    Conclusions:

    • The proposed oscillator model provides a more biologically relevant framework for CPG research.
    • This work advances our understanding of neural mechanisms underlying lamprey locomotion.
    • The model has potential applications in robotics and computational neuroscience.