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Predicting the duration of chaotic transients in excitable media
Journal of Physics: Complexity ( IF 2.6 ) Pub Date : 2021-07-09 , DOI: 10.1088/2632-072x/abf752
Marcel Aron 1, 2 , Thomas Lilienkamp 1, 3 , Stefan Luther 1, 2, 3, 4 , Ulrich Parlitz 1, 2, 3
Affiliation  

The spatiotemporal dynamics of excitable media may exhibit chaotic transients. We investigate this transient chaos in the 2D Fenton–Karma model describing the propagation of electrical excitation waves in cardiac tissue and compute the average duration of chaotic transients in dependence on model parameter values. Furthermore, other characteristics like the dominant frequency, the size of the excitable gap, pseudo ECGs, the number of phase singularities and parameters characterizing the action potential duration restitution curve are determined and it is shown that these quantities can be used to predict the average transient time using polynomial regression.



中文翻译:

预测可兴奋介质中混沌瞬变的持续时间

可兴奋媒体的时空动态可能表现出混沌瞬变。我们在描述电激发波在心脏组织中传播的二维 Fenton-Karma 模型中研究这种瞬态混沌,并根据模型参数值计算混沌瞬态的平均持续时间。此外,还确定了其他特征,如主频率、可兴奋间隙的大小、伪心电图、相位奇异点的数量和表征动作电位持续时间恢复曲线的参数,并且表明这些量可用于预测平均瞬态时间使用多项式回归。

更新日期:2021-07-09
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