Deterministic nonlinearity in ventricular fibrillation
- 28 February 2000
- journal article
- research article
- Published by AIP Publishing in Chaos: An Interdisciplinary Journal of Nonlinear Science
- Vol. 10 (1) , 268-277
- https://doi.org/10.1063/1.166489
Abstract
We provide numerical evidence that the electrocardiogram data collected from pigs during induced ventricular fibrillation cannot be described by a monotonic nonlinear transformation of linearly filtered noise. To establish this we use surrogate techniques and apply two test statistics: (1) the Takens’ maximum likelihood estimator of the Grassberger–Procaccia correlation dimension and (2) an improved correlation dimension estimation routine. The improved dimension estimates provide evidence that the correlation dimension of the underlying dynamics during the episode of VF in the first 30 s is slightly less than 6. This result is consistent and reproducible among subjects.Keywords
This publication has 31 references indexed in Scilit:
- Spatiotemporal evolution of ventricular fibrillationNature, 1998
- Spiral breakup as a model of ventricular fibrillationChaos: An Interdisciplinary Journal of Nonlinear Science, 1998
- Vortex dynamics in three-dimensional continuous myocardium with fiber rotation: Filament instability and fibrillationChaos: An Interdisciplinary Journal of Nonlinear Science, 1998
- Reentrant waves and their elimination in a model of mammalian ventricular tissueChaos: An Interdisciplinary Journal of Nonlinear Science, 1998
- Evolving perspectives during 12 years of electrical turbulenceChaos: An Interdisciplinary Journal of Nonlinear Science, 1998
- Nonlinear dynamics in ventricular fibrillation.Proceedings of the National Academy of Sciences, 1996
- Drifting vortices of electrical waves underlie ventricular fibrillation in the rabbit heartActa Physiologica Scandinavica, 1996
- Complex dynamics underlying the human electrocardiogramBiological Cybernetics, 1992
- Is fibrillation chaos?Circulation Research, 1990
- Some observations on the question: Is ventricular fibrillation “chaos”?Physica D: Nonlinear Phenomena, 1986