Topological charge-density method of identifying phase singularities in cardiac fibrillation,Physical Review E

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Topological charge-density method of identifying phase singularities in cardiac fibrillation
Physical Review E ( IF 2.2 ) Pub Date : 2021-07-20 , DOI: 10.1103/physreve.104.014213
Yin-Jie He ₁ , Qi-Hao Li ₁ , Kuangshi Zhou ₂ , Ruhong Jiang ₂ , Chenyang Jiang ₂ , Jun-Ting Pan ₃ , Dafang Zheng ₁ , Bo Zheng _{1,

4} , Hong Zhang ₁

Affiliation

Spiral waves represent the key motifs of typical self-sustained dynamical patterns in excitable systems such as cardiac tissue. The motion of phase singularities (PSs) that lies at the center of spiral waves captures many qualitative and, in some cases, quantitative features of their complex dynamics. Recent clinical studies suggested that ablating the tissue at PS locations may cure atrial fibrillation. Here, we propose a different method to determine the location of PSs. Starting from the definition of the topological charge of spiral waves, we obtain the expression of the topological charge density in a discrete case. With this expression, we can calculate the topological charge at each grid in the space directly, so as to accurately identify the position of PSs.

中文翻译：

识别心脏颤动相位奇异点的拓扑电荷密度方法

螺旋波代表了可兴奋系统（如心脏组织）中典型的自我维持动力学模式的关键主题。位于螺旋波中心的相位奇点 (PS) 的运动捕获了其复杂动力学的许多定性特征，在某些情况下，还包括定量特征。最近的临床研究表明，在 PS 位置消融组织可以治愈心房颤动。在这里，我们提出了一种不同的方法来确定 PS 的位置。从螺旋波拓扑电荷的定义出发，得到离散情况下拓扑电荷密度的表达式。有了这个表达式，我们就可以直接计算空间中每个网格的拓扑电荷，从而准确地识别出PS的位置。

更新日期：2021-07-20

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