Extinction dynamics of spiral defect chaos.
Extinction dynamics of spiral defect chaos.
复制标题
螺旋缺陷混沌的消光动力学。
DOI：
10.1103/physreve.99.012407
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发表时间：
2019
期刊：
影响因子：
--
通讯作者：
Rappel,Wouter-Jan
中科院分区：
文献类型：
--
作者：
Vidmar,David;Rappel,Wouter-Jan
空间扩展的可激发系统可以表现出螺旋缺陷混沌（SDC），在此过程中，螺旋波不断地产生和消失。使用模拟来解决这种动态状态如何终止可能在计算上具有挑战性，特别是对于大型系统。为了规避这一限制，我们把螺旋波的数量作为一个随机人口与相应的生灭方程，并使用统计物理技术来确定平均发作持续时间的SDC。受心脏纤维性颤动的影响，在此期间心脏的电活动变得紊乱并显示出碎片化的螺旋波，我们使用心脏电生理学的通用模型。我们表明，持续时间可以计算在最小的计算时间，它依赖于域的大小呈指数。因此，该方法可以导致有效和准确的预测平均发作持续时间，可以扩展到更复杂的几何形状和模型。
Spatially extended excitable systems can exhibit spiral defect chaos (SDC) during which spiral waves continuously form and disappear. To address how this dynamical state terminates using simulations can be computationally challenging, especially for large systems. To circumvent this limitation, we treat the number of spiral waves as a stochastic population with a corresponding birth-death equation and use techniques from statistical physics to determine the mean episode duration of SDC. Motivated by cardiac fibrillation, during which the heart's electrical activity becomes disorganized and shows fragmenting spiral waves, we use generic models of cardiac electrophysiology. We show that the duration can be computed in minimal computational time and that it depends exponentially on domain size. Therefore, the approach can result in efficient and accurate predictions of mean episode duration which may be extended to more complex geometries and models.