Zhejiang Institute of Modern Physics, School of Physics, Zhejiang University, Hangzhou 310058, China.
Department of Cardiology, Sir Run Run Shaw Hospital, School of Medicine, Zhejiang University, Hangzhou 310016, China.
Phys Rev E. 2023 Jan;107(1-1):014217. doi: 10.1103/PhysRevE.107.014217.
Scroll waves have been found in a variety of three-dimensional excitable media, including physical, chemical, and biological origins. Scroll waves in cardiac tissue are of particular significance as they underlie ventricular fibrillation that can cause sudden death. The behavior of a scroll wave is characterized by a line of phase singularity at its organizing center, known as a filament. A thorough investigation into the filament dynamics is the key to further exploration of the general theory of scroll waves in excitable media and the mechanisms of ventricular fibrillation. In this paper, we propose a method to identify filaments of scroll waves in excitable media. From the definition of the topological charge of filaments, we obtain the discrete expression of the topological charge-density vector, which is useful in calculating the topological charge vectors at each grid in the space directly. The set of starting points of these topological charge vectors represents a set of phase singularities, thereby forming a line of phase singularity, that is, a filament of a scroll wave.
滚动波已在多种三维激发介质中被发现，包括物理、化学和生物起源。心肌中的滚动波尤为重要，因为它们是心室颤动的基础，心室颤动可能导致猝死。滚动波的行为特征是在其组织中心有一条相位奇异线，称为丝。深入研究丝的动力学是进一步探索激发介质中滚动波的一般理论和心室颤动机制的关键。在本文中，我们提出了一种在激发介质中识别滚动波丝的方法。从丝的拓扑电荷的定义出发，我们得到了拓扑电荷密度向量的离散表达式，这在直接计算空间中每个网格的拓扑电荷向量时非常有用。这些拓扑电荷向量的起点集代表了一组相位奇异点，从而形成一条相位奇异线，即滚动波的丝。
