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Measurement and structure of spiral wave response functions

Hans Dierckx (UGent) , Henri Verschelde (UGent) and Alexander Panfilov (UGent)
(2017) CHAOS. 27(9).
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Abstract
The rotating spiral waves that emerge in diverse natural and man-made systems typically exhibit a particle-like behaviour since their adjoint critical eigenmodes (response functions) are often seen to be localised around the spiral core. We present a simple method to numerically compute response functions for circular-core and meandering spirals by recording their drift response to many elementary perturbations. Although our method is computationally more expensive than solving the adjoint system, our technique is fully parallellisable, does not suffer from memory limitations and can be applied to experiments. For a cardiac tissue model with the linear spiral core, we find that the response functions are localised near the turning points of the trajectory.
Keywords
3-DIMENSIONAL SCROLL WAVES, EXCITABLE MEDIA, REENTRANT ACTIVITY, VORTEX DYNAMICS, FIBRILLATION, PROPAGATION, FILAMENTS

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Citation

Please use this url to cite or link to this publication:

Chicago
Dierckx, Hans, Henri Verschelde, and Alexander Panfilov. 2017. “Measurement and Structure of Spiral Wave Response Functions.” Chaos 27 (9).
APA
Dierckx, Hans, Verschelde, H., & Panfilov, A. (2017). Measurement and structure of spiral wave response functions. CHAOS, 27(9).
Vancouver
1.
Dierckx H, Verschelde H, Panfilov A. Measurement and structure of spiral wave response functions. CHAOS. 2017;27(9).
MLA
Dierckx, Hans, Henri Verschelde, and Alexander Panfilov. “Measurement and Structure of Spiral Wave Response Functions.” CHAOS 27.9 (2017): n. pag. Print.
@article{8536798,
  abstract     = {The rotating spiral waves that emerge in diverse natural and man-made systems typically exhibit a particle-like behaviour since their adjoint critical eigenmodes (response functions) are often seen to be localised around the spiral core. We present a simple method to numerically compute response functions for circular-core and meandering spirals by recording their drift response to many elementary perturbations. Although our method is computationally more expensive than solving the adjoint system, our technique is fully parallellisable, does not suffer from memory limitations and can be applied to experiments. For a cardiac tissue model with the linear spiral core, we find that the response functions are localised near the turning points of the trajectory.},
  articleno    = {093912},
  author       = {Dierckx, Hans and Verschelde, Henri and Panfilov, Alexander},
  issn         = {1054-1500},
  journal      = {CHAOS},
  keyword      = {3-DIMENSIONAL SCROLL WAVES,EXCITABLE MEDIA,REENTRANT ACTIVITY,VORTEX DYNAMICS,FIBRILLATION,PROPAGATION,FILAMENTS},
  language     = {eng},
  number       = {9},
  pages        = {10},
  title        = {Measurement and structure of spiral wave response functions},
  url          = {http://dx.doi.org/10.1063/1.4999606},
  volume       = {27},
  year         = {2017},
}

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