Spiral turbulence and spatiotemporal chaos: characterization and control in two excitable media

We give an overview of our studies of spiral turbulence and spatiotemporal chaos in partial-differential-equation models for two excitable media: (a) the oxidation of carbon monoxide on Pt(110); and (b) ventricular fibrillation in mammalian hearts. Our characterization of spiral turbulence and spatiotemporal chaos in these models leads us to an efficient scheme for controlling such chaos. We discuss this scheme and its application for electrical defibrillation.

[1]  Flavio H. Fenton,et al.  SPATIOTEMPORAL CONTROL OF WAVE INSTABILITIES IN CARDIAC TISSUE , 1999 .

[2]  L. J. Leon,et al.  Spatiotemporal evolution of ventricular fibrillation , 1998, Nature.

[3]  Bär,et al.  Statistics of Topological Defects and Spatiotemporal Chaos in a Reaction-Diffusion System. , 1995, Physical review letters.

[4]  Marc Courtemanche,et al.  Complex spiral wave dynamics in a spatially distributed ionic model of cardiac electrical activity. , 1996, Chaos.

[5]  Engel,et al.  Spatiotemporal concentration patterns in a surface reaction: Propagating and standing waves, rotating spirals, and turbulence. , 1990, Physical review letters.

[6]  Spatiotemporal chaos and nonequilibrium transitions in a model excitable medium , 2000, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[7]  S. Sinha,et al.  Defibrillation via the elimination of spiral turbulence in a model for ventricular fibrillation. , 2001, Physical review letters.

[8]  P. Hogeweg,et al.  Spiral breakup in a modified FitzHugh-Nagumo model , 1993 .

[9]  A Garfinkel,et al.  Spatiotemporal complexity of ventricular fibrillation revealed by tissue mass reduction in isolated swine right ventricle. Further evidence for the quasiperiodic route to chaos hypothesis. , 1997, The Journal of clinical investigation.

[10]  G. W. Beeler,et al.  Reconstruction of the action potential of ventricular myocardial fibres , 1977, The Journal of physiology.

[11]  G V Osipov,et al.  Using weak impulses to suppress traveling waves in excitable media. , 1999, Physical review. E, Statistical physics, plasmas, fluids, and related interdisciplinary topics.

[12]  R. Gray,et al.  Spatial and temporal organization during cardiac fibrillation , 1998, Nature.

[13]  A. T. Winfree,et al.  Evolving perspectives during 12 years of electrical turbulence. , 1998, Chaos.

[14]  Markus Bär,et al.  Spiral waves in a surface reaction: Model calculations , 1994 .

[15]  G. G. Stokes "J." , 1890, The New Yale Book of Quotations.

[16]  A. Panfilov,et al.  Spiral breakup as a model of ventricular fibrillation. , 1998, Chaos.