Literature DB >> 20590327

Chaos for cardiac arrhythmias through a one-dimensional modulation equation for alternans.

Shu Dai1, David G Schaeffer.   

Abstract

Instabilities in cardiac dynamics have been widely investigated in recent years. One facet of this work has studied chaotic behavior, especially possible correlations with fatal arrhythmias. Previously chaotic behavior was observed in various models, specifically in the breakup of spiral and scroll waves. In this paper we study cardiac dynamics and find spatiotemporal chaotic behavior through the Echebarria-Karma modulation equation for alternans in one dimension. Although extreme parameter values are required to produce chaos in this model, it seems significant mathematically that chaos may occur by a different mechanism from previous observations. (c) 2010 American Institute of Physics.

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Year:  2010        PMID: 20590327      PMCID: PMC2909307          DOI: 10.1063/1.3456058

Source DB:  PubMed          Journal:  Chaos        ISSN: 1054-1500            Impact factor:   3.642


  18 in total

1.  Instability and spatiotemporal dynamics of alternans in paced cardiac tissue.

Authors:  Blas Echebarria; Alain Karma
Journal:  Phys Rev Lett       Date:  2002-05-06       Impact factor: 9.161

2.  Taming Winfree turbulence of scroll waves in excitable media.

Authors:  Sergio Alonso; Francesc Sagués; Alexander S Mikhailov
Journal:  Science       Date:  2003-01-30       Impact factor: 47.728

3.  A two-current model for the dynamics of cardiac membrane.

Authors:  Colleen C Mitchell; David G Schaeffer
Journal:  Bull Math Biol       Date:  2003-09       Impact factor: 1.758

4.  Spiral breakup in model equations of action potential propagation in cardiac tissue.

Authors: 
Journal:  Phys Rev Lett       Date:  1993-08-16       Impact factor: 9.161

5.  Amplitude equation approach to spatiotemporal dynamics of cardiac alternans.

Authors:  Blas Echebarria; Alain Karma
Journal:  Phys Rev E Stat Nonlin Soft Matter Phys       Date:  2007-11-12

6.  A modification of the Hodgkin--Huxley equations applicable to Purkinje fibre action and pace-maker potentials.

Authors:  D NOBLE
Journal:  J Physiol       Date:  1962-02       Impact factor: 5.182

7.  Supernormal excitability as a mechanism of chaotic dynamics of activation in cardiac Purkinje fibers.

Authors:  D R Chialvo; D C Michaels; J Jalife
Journal:  Circ Res       Date:  1990-02       Impact factor: 17.367

8.  Chaos and the transition to ventricular fibrillation: a new approach to antiarrhythmic drug evaluation.

Authors:  J N Weiss; A Garfinkel; H S Karagueuzian; Z Qu; P S Chen
Journal:  Circulation       Date:  1999-06-01       Impact factor: 29.690

9.  Preventing ventricular fibrillation by flattening cardiac restitution.

Authors:  A Garfinkel; Y H Kim; O Voroshilovsky; Z Qu; J R Kil; M H Lee; H S Karagueuzian; J N Weiss; P S Chen
Journal:  Proc Natl Acad Sci U S A       Date:  2000-05-23       Impact factor: 11.205

10.  Spiral breakup as a model of ventricular fibrillation.

Authors:  Alexandre V. Panfilov
Journal:  Chaos       Date:  1998-03       Impact factor: 3.642

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