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Related Experiment Videos

Propagation through heterogeneous substrates in simple excitable media models.

Gil Bub1, Alvin Shrier

  • 1Center for Nonlinear Dynamics in Physiology and Medicine, Department of Physiology, McIntyer Medical Sciences Building, McGill University, Montreal, Quebec, Canada H3G 1Y6.

Chaos (Woodbury, N.Y.)
|June 5, 2003
PubMed
Summary

Simulations show how wave propagation is affected by obstacles in excitable media. Small obstacles allow waves to pass, large ones block them, and intermediate sizes create complex spiral wave patterns.

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Area of Science:

  • Computational physics
  • Nonlinear dynamics
  • Mathematical modeling

Background:

  • Understanding wave propagation in excitable media is crucial for various scientific fields.
  • Heterogeneities in these media can significantly alter wave dynamics.
  • Previous models have explored wave-obstacle interactions with varying degrees of success.

Purpose of the Study:

  • To investigate the impact of heterogeneities on wave propagation using theoretical models.
  • To elucidate the mechanisms behind spiral wave formation in heterogeneous excitable media.

Main Methods:

  • Simulations were conducted using the FitzHugh-Nagumo model.
  • A cellular automata model was developed, incorporating heterogeneities as interactions between current sources and sinks.

Related Experiment Videos

  • The effect of varying heterogeneity size on wave behavior was analyzed.

    • Main Results:

    • Wave fronts propagate through small heterogeneities.
    • Wave fronts are blocked by large heterogeneities.
    • Intermediate heterogeneity sizes lead to wave front breakup and the formation of numerous spiral waves.

    Conclusions:

    • Theoretical models provide valuable insights into spiral wave formation in heterogeneous excitable media.
    • The size of heterogeneities is a critical factor determining wave propagation and pattern formation.
    • These findings contribute to the fundamental understanding of complex dynamics in biological and physical systems.