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Rejection of Fluorescence Background in Resonance and Spontaneous Raman Microspectroscopy
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Published on: May 18, 2011

Zero-refractoriness spirals in phase-coupled excitable media.

E Avalos1, Pik-Yin Lai, C K Chan

  • 1Department of Physics, Graduate Institute of Biophysics and Center for Complex Systems, National Central University, Taiwan, Republic of China.

Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|April 7, 2010
PubMed
Summary
This summary is machine-generated.

This study explores how excitability and coupling affect wave patterns in excitable media. Stable spiral waves were identified, revealing key parameters for their formation and behavior.

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Area of Science:

  • Complex Systems
  • Nonlinear Dynamics
  • Computational Physics

Background:

  • Excitable media exhibit wave propagation phenomena crucial in various scientific fields.
  • Understanding wave dynamics, including plane and spiral waves, is essential for modeling complex systems.
  • Phase-coupled elements provide a discrete model for simulating excitable media behavior.

Purpose of the Study:

  • To investigate the influence of excitability and coupling strength on plane and spiral wave formation.
  • To determine the phase diagrams for stable plane and spiral waves in a two-dimensional lattice.
  • To identify parameters supporting stable spiral waves and their rotation frequencies.

Main Methods:

  • Simulations of a two-dimensional lattice of phase-coupled elements.
  • Analysis of parameter spaces to generate phase diagrams.
  • Analytical discussion and verification of wave propagation behaviors.

Main Results:

  • Phase diagrams for stable plane and spiral waves were successfully obtained.
  • Specific parameters supporting stable spiral waves were identified.
  • Spiral rotation frequencies were determined for various conditions.
  • The discrete model was shown to support zero-core spiral waves in the continuum limit.

Conclusions:

  • Excitability and coupling strength are critical factors governing wave dynamics in discrete excitable lattices.
  • The study provides a comprehensive understanding of the conditions for stable spiral wave formation.
  • The findings contribute to the theoretical framework of wave propagation in excitable media.