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Numerical study of the drift of scroll waves by optical feedback in cardiac tissue

(2023) PHYSICAL REVIEW E. 108(6).
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Abstract
Nonlinear waves were found in various types of physical, chemical, and biological excitable media, e.g., in heart muscle. They can form three-dimensional (3D) vortices, called scroll waves, that are of particular significance in the heart, as they underlie lethal cardiac arrhythmias. Thus controlling the behavior of scroll waves is interesting and important. Recently, the optical feedback control procedure for two-dimensional vortices, called spiral waves, was developed. It can induce directed linear drift of spiral waves in optogenetically modified cardiac tissue. However, the extension of this methodology to 3D scroll waves is nontrivial, as optogenetic signals only penetrate close to the surface of cardiac tissue. Here we present a study of this extension in a two-variable reaction-diffusion model and in a detailed model of cardiac tissue. We show that the success of the control procedure is determined by the tension of the scroll wave filament. In tissue with positive filament tension the control procedure works in all cases. However, in the case of negative filament tension for a sufficiently large medium, instabilities occur and make drift and control of scroll waves impossible. Because in normal cardiac tissue the filament tension is assumed to be positive, we conclude that the proposed optical feedback scheme can be a robust method in inducing the linear drift of scroll waves that can control their positions in cardiac tissue.
Keywords
SPIRAL WAVES, OPTOGENETIC CONTROL, ELECTRIC-FIELD, FILAMENTS, DYNAMICS, PHOTOCYCLES, EXCITATION, DIMENSIONS, MODELS, MEDIA

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MLA
Xia, Yuan-Xun, et al. “Numerical Study of the Drift of Scroll Waves by Optical Feedback in Cardiac Tissue.” PHYSICAL REVIEW E, vol. 108, no. 6, 2023, doi:10.1103/PhysRevE.108.064406.
APA
Xia, Y.-X., Xie, L.-H., He, Y.-J., Pan, J.-T., Panfilov, A., & Zhang, H. (2023). Numerical study of the drift of scroll waves by optical feedback in cardiac tissue. PHYSICAL REVIEW E, 108(6). https://doi.org/10.1103/PhysRevE.108.064406
Chicago author-date
Xia, Yuan-Xun, Ling-Hao Xie, Yin-Jie He, Jun-Ting Pan, Alexander Panfilov, and Hong Zhang. 2023. “Numerical Study of the Drift of Scroll Waves by Optical Feedback in Cardiac Tissue.” PHYSICAL REVIEW E 108 (6). https://doi.org/10.1103/PhysRevE.108.064406.
Chicago author-date (all authors)
Xia, Yuan-Xun, Ling-Hao Xie, Yin-Jie He, Jun-Ting Pan, Alexander Panfilov, and Hong Zhang. 2023. “Numerical Study of the Drift of Scroll Waves by Optical Feedback in Cardiac Tissue.” PHYSICAL REVIEW E 108 (6). doi:10.1103/PhysRevE.108.064406.
Vancouver
1.
Xia Y-X, Xie L-H, He Y-J, Pan J-T, Panfilov A, Zhang H. Numerical study of the drift of scroll waves by optical feedback in cardiac tissue. PHYSICAL REVIEW E. 2023;108(6).
IEEE
[1]
Y.-X. Xia, L.-H. Xie, Y.-J. He, J.-T. Pan, A. Panfilov, and H. Zhang, “Numerical study of the drift of scroll waves by optical feedback in cardiac tissue,” PHYSICAL REVIEW E, vol. 108, no. 6, 2023.
@article{01HNNAFKFDJMH1BJK3M7WRWFCW,
  abstract     = {{Nonlinear waves were found in various types of physical, chemical, and biological excitable media, e.g., in heart muscle. They can form three-dimensional (3D) vortices, called scroll waves, that are of particular significance in the heart, as they underlie lethal cardiac arrhythmias. Thus controlling the behavior of scroll waves is interesting and important. Recently, the optical feedback control procedure for two-dimensional vortices, called spiral waves, was developed. It can induce directed linear drift of spiral waves in optogenetically modified cardiac tissue. However, the extension of this methodology to 3D scroll waves is nontrivial, as optogenetic signals only penetrate close to the surface of cardiac tissue. Here we present a study of this extension in a two-variable reaction-diffusion model and in a detailed model of cardiac tissue. We show that the success of the control procedure is determined by the tension of the scroll wave filament. In tissue with positive filament tension the control procedure works in all cases. However, in the case of negative filament tension for a sufficiently large medium, instabilities occur and make drift and control of scroll waves impossible. Because in normal cardiac tissue the filament tension is assumed to be positive, we conclude that the proposed optical feedback scheme can be a robust method in inducing the linear drift of scroll waves that can control their positions in cardiac tissue.}},
  articleno    = {{064406}},
  author       = {{Xia, Yuan-Xun and  Xie, Ling-Hao and  He, Yin-Jie and  Pan, Jun-Ting and Panfilov, Alexander and  Zhang, Hong}},
  issn         = {{2470-0045}},
  journal      = {{PHYSICAL REVIEW E}},
  keywords     = {{SPIRAL WAVES,OPTOGENETIC CONTROL,ELECTRIC-FIELD,FILAMENTS,DYNAMICS,PHOTOCYCLES,EXCITATION,DIMENSIONS,MODELS,MEDIA}},
  language     = {{eng}},
  number       = {{6}},
  pages        = {{11}},
  title        = {{Numerical study of the drift of scroll waves by optical feedback in cardiac tissue}},
  url          = {{http://doi.org/10.1103/PhysRevE.108.064406}},
  volume       = {{108}},
  year         = {{2023}},
}

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