Topological charge-density-vector method of identifying filaments of scroll waves

Yin-Jie He, Yuan-Xun Xia, Jin-Tao Mei, Kuangshi Zhou, Chenyang Jiang, Jun-Ting Pan, Dafang Zheng, Bo Zheng, and Hong Zhang
Phys. Rev. E 107, 014217 – Published 30 January 2023

Abstract

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.

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  • Received 3 May 2022
  • Revised 21 August 2022
  • Accepted 9 January 2023

DOI:https://doi.org/10.1103/PhysRevE.107.014217

©2023 American Physical Society

Physics Subject Headings (PhySH)

  1. Research Areas
Nonlinear Dynamics

Authors & Affiliations

Yin-Jie He1, Yuan-Xun Xia1, Jin-Tao Mei1, Kuangshi Zhou2, Chenyang Jiang2, Jun-Ting Pan3, Dafang Zheng1, Bo Zheng4,1,*, and Hong Zhang1,†

  • 1Zhejiang Institute of Modern Physics, School of Physics, Zhejiang University, Hangzhou 310058, China
  • 2Department of Cardiology, Sir Run Run Shaw Hospital, School of Medicine, Zhejiang University, Hangzhou 310016, China
  • 3Ocean College, Zhejiang University, Zhoushan 316021, China
  • 4School of Physics and Astronomy, Yunnan University, Kunming 650091, China

  • *Corresponding author: zhengbo@zju.edu.cn
  • Corresponding author: hongzhang@zju.edu.cn

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Issue

Vol. 107, Iss. 1 — January 2023

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