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Buckling of scroll waves.

Hans Dierckx1, Henri Verschelde, Özgür Selsil

  • 1Department of Mathematical Physics and Astronomy, Ghent University, Krijgslaan 281, 9000 Ghent, Belgium.

Physical Review Letters
|December 11, 2012
PubMed
Summary
This summary is machine-generated.

Scroll waves in thin excitable media are stable due to filament rigidity. Increasing medium thickness causes these spiral waves to buckle, meander, and eventually break into turbulence.

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Area of Science:

  • Physics
  • Complex Systems
  • Nonlinear Dynamics

Background:

  • Scroll waves in excitable media can exhibit complex behaviors.
  • Filament rigidity can stabilize scroll waves even with negative filament tension.
  • Medium thickness is a critical parameter influencing scroll wave stability.

Purpose of the Study:

  • To theoretically investigate the transition of stable scroll waves to turbulent states.
  • To explain the phenomenon of scroll wave meandering and breakup.
  • To provide a simplified model for understanding scroll wave dynamics in varying thicknesses.

Main Methods:

  • Development of a simplified theoretical model for scroll wave dynamics.
  • Numerical simulations to illustrate the theoretical predictions.
  • Analysis of the effect of medium thickness on scroll wave stability and behavior.

Main Results:

  • Scroll waves are stable in thin media due to filament rigidity.
  • Above a critical thickness, scroll waves deform into a buckled, precessing state.
  • Increasing thickness leads to increased meandering amplitude and eventual breakup into turbulence.

Conclusions:

  • Medium thickness is a key factor determining scroll wave stability and dynamics.
  • The simplified theory accurately captures the transition from stable to turbulent scroll waves.
  • Filament rigidity plays a crucial role in stabilizing scroll waves in thin layers.