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Refraction of scroll-wave filaments at the boundary between two reaction-diffusion media
Christian W Zemlin1, Frency Varghese1, Marcel Wellner2
1Department of Electrical and Computer Engineering, Old Dominion University, Norfolk, Virginia 23528, USA and Frank Reidy Research Center for Bioelectrics, Norfolk, Virginia 23508, USA.
Physical Review Letters
|April 4, 2015
Summary
Scroll-wave filaments refract at diffusion boundaries in excitable media, similar to light. Instabilities and oscillations occur at small angles, crucial for cardiac research.
Area of Science:
- Physics
- Mathematics
- Biophysics
Background:
- Scroll waves are key phenomena in excitable media.
- Cardiac arrhythmias involve complex wave dynamics.
- Diffusion properties significantly influence wave behavior.
Purpose of the Study:
- Investigate scroll-wave filament dynamics in media with changing diffusion.
- Analyze filament refraction at diffusion domain boundaries.
- Characterize instabilities and oscillations of filaments.
Main Methods:
- Theoretical derivation of filament refraction laws.
- Computational modeling of scroll waves in heterogeneous media.
- Numerical simulations to validate theoretical predictions.
Main Results:
- Scroll-wave filaments exhibit refraction at diffusion tensor boundaries.
- Derived refraction laws accurately predict filament behavior.
- Filaments become unstable and oscillate at small interface angles.
Conclusions:
- Refraction laws provide a framework for understanding filament behavior.
- Observed instabilities offer new insights into cardiac wave dynamics.
- Findings have significant theoretical and experimental implications for cardiac applications.
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