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Published on: July 29, 2011
Quasiperiodicity and chaos in cardiac fibrillation
A Garfinkel1, P S Chen, D O Walter
1Department of Medicine (Cardiology), University of California, Los Angeles School of Medicine, 90095, USA. alang@lifesci.ucla.edu
Insights
Cardiac fibrillation, a loss of organized heart activity, arises from a "quasiperiodic transition to chaos." This finding in human and canine models suggests fibrillation is spatio-temporal chaos, opening new therapeutic avenues.
Area of Science:
- Cardiology
- Nonlinear Dynamics
- Computational Biology
Background:
- Cardiac fibrillation involves disorganized electrical activity and loss of contractile function.
- Existing research has explored various models of fibrillation, but a unified understanding of its underlying dynamics is lacking.
Purpose of the Study:
- To investigate the dynamic mechanisms underlying cardiac fibrillation across different forms.
- To determine if fibrillation exemplifies the quasiperiodic transition to chaos theory.
Main Methods:
- Studied human chronic atrial fibrillation.
- Examined stabilized canine ventricular fibrillation.
- Investigated in vitro fibrillation in canine and human ventricular tissue.
- Developed and analyzed a computer model of fibrillation.
Main Results:
- Evidence across all four studies indicated fibrillation emerges from a quasiperiodic stage of period and amplitude modulation.
- This pattern aligns with the Ruelle-Takens theory of quasiperiodic transition to chaos.
- Fibrillation was characterized as a form of spatio-temporal chaos.
Conclusions:
- Cardiac fibrillation represents a spatio-temporal chaotic phenomenon.
- The quasiperiodic transition to chaos provides a unifying framework for understanding fibrillation dynamics.
- This insight suggests novel therapeutic strategies targeting the chaotic nature of fibrillation.
Abstract:
In cardiac fibrillation, disorganized waves of electrical activity meander through the heart, and coherent contractile function is lost. We studied fibrillation in three stationary forms: in human chronic atrial fibrillation, in a stabilized form of canine ventricular fibrillation, and in fibrillation-like activity in thin sheets of canine and human ventricular tissue in vitro. We also created a computer model of fibrillation. In all four studies, evidence indicated that fibrillation arose through a quasiperiodic stage of period and amplitude modulation, thus exemplifying the "quasiperiodic transition to chaos" first suggested by Ruelle and Takens. This suggests that fibrillation is a form of spatio-temporal chaos, a finding that implies new therapeutic approaches.
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