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Fibrillation of a cardiac region and the tachycardia mode of a two-oscillator system.

作者信息

Strittmatter W, Honerkamp J

出版信息

J Math Biol. 1984;20(2):171-84. doi: 10.1007/BF00285345.

DOI:10.1007/BF00285345
PMID:6491547
Abstract

The interaction between two nonlinear oscillators is discussed, each one representing a region of the heart and characterized by a specific type of phase transition curve (PTC) which has been derived from human ECG-recordings. Besides the normal conduction a tachycardia mode is studied where the excitation is reflected by each oscillator (reentry). It turns out that under specific physiologically plausible conditions this tachycardia mode cannot be terminated by an external stimulus. Under periodic stimulation the response of the tachycardia mode is chaotic. Within a sheet of nonlinear oscillators the tachycardia mode serves as an ectopic focus or a region of reentry which induces fibrillation of the whole tissue.

摘要

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本文引用的文献

1
Phase locking, period doubling bifurcations and chaos in a mathematical model of a periodically driven oscillator: a theory for the entrainment of biological oscillators and the generation of cardiac dysrhythmias.周期驱动振荡器数学模型中的锁相、倍周期分岔与混沌:生物振荡器同步及心脏心律失常产生的一种理论
J Math Biol. 1982;14(1):1-23. doi: 10.1007/BF02154750.
2
The heart as a system of coupled nonlinear oscillators.
J Math Biol. 1983;18(1):69-88. doi: 10.1007/BF00275911.