Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou 310027, China.
Department of Cardiology, Sir Run Run Shaw Hospital, School of Medicine, Zhejiang University, Hangzhou 310016, China.
Phys Rev E. 2021 Jul;104(1-1):014213. doi: 10.1103/PhysRevE.104.014213.
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.
螺旋波代表了兴奋系统中典型的自维持动力模式的关键特征，如心脏组织。位于螺旋波中心的相位奇点 (PS) 的运动捕捉到了它们复杂动力学的许多定性特征，在某些情况下还捕捉到了定量特征。最近的临床研究表明，消融 PS 位置的组织可能治愈心房颤动。在这里，我们提出了一种确定 PS 位置的不同方法。从螺旋波拓扑电荷的定义出发，我们得到了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 PS 的位置。
