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Spiral wave drift under optical feedback in cardiac tissue

(2022) PHYSICAL REVIEW E. 106(2).
Author
Organization
Abstract
Spiral waves occur in various types of excitable media and their dynamics determine the spatial excitation patterns. An important type of spiral wave dynamics is drift, as it can control the position of a spiral wave or eliminate a spiral wave by forcing it to the boundary. In theoretical and experimental studies of the Belousov-Zhabotinsky reaction, it was shown that the most direct way to induce the controlled drift of spiral waves is by application of an external electric field. Mathematically such drift occurs due to the onset of additional gradient terms in the Laplacian operator describing excitable media. However, this approach does not work for cardiac excitable tissue, where an external electric field does not result in gradient terms. In this paper, we propose a method of how to induce a directed linear drift of spiral waves in cardiac tissue, which can be realized as an optical feedback control in tissue where photosensitive ion channels are expressed. We illustrate our method by using the FitzHugh-Nagumo model for cardiac tissue and the generic model of photosensitive ion channels. We show that our method works for continuous and discrete light sources and can effectively move spiral waves in cardiac tissue, or eliminate them by collisions with the boundary or with another spiral wave. We finally implement our method by using a biophysically motivated photosensitive ion channel model included to the Luo-Rudy model for cardiac cells and show that the proposed feedback control also induces directed linear drift of spiral waves in a wide range of light intensities.
Keywords
EXCITABLE MEDIA, ELECTRIC-FIELD, VORTICES, DYNAMICS, MODEL, PHOTOCYCLES, EXCITATION, PATTERNS

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MLA
Xia, Yuan-Xu, et al. “Spiral Wave Drift under Optical Feedback in Cardiac Tissue.” PHYSICAL REVIEW E, vol. 106, no. 2, Amer Physical Soc, 2022, doi:10.1103/PhysRevE.106.024405.
APA
Xia, Y.-X., Zhi, X.-P., Li, T.-C., Pan, J.-T., Panfilov, A., & Zhang, H. (2022). Spiral wave drift under optical feedback in cardiac tissue. PHYSICAL REVIEW E, 106(2). https://doi.org/10.1103/PhysRevE.106.024405
Chicago author-date
Xia, Yuan-Xu, Xin-Pei Zhi, Teng-Chao Li, Jun-Ting Pan, Alexander Panfilov, and Hong Zhang. 2022. “Spiral Wave Drift under Optical Feedback in Cardiac Tissue.” PHYSICAL REVIEW E 106 (2). https://doi.org/10.1103/PhysRevE.106.024405.
Chicago author-date (all authors)
Xia, Yuan-Xu, Xin-Pei Zhi, Teng-Chao Li, Jun-Ting Pan, Alexander Panfilov, and Hong Zhang. 2022. “Spiral Wave Drift under Optical Feedback in Cardiac Tissue.” PHYSICAL REVIEW E 106 (2). doi:10.1103/PhysRevE.106.024405.
Vancouver
1.
Xia Y-X, Zhi X-P, Li T-C, Pan J-T, Panfilov A, Zhang H. Spiral wave drift under optical feedback in cardiac tissue. PHYSICAL REVIEW E. 2022;106(2).
IEEE
[1]
Y.-X. Xia, X.-P. Zhi, T.-C. Li, J.-T. Pan, A. Panfilov, and H. Zhang, “Spiral wave drift under optical feedback in cardiac tissue,” PHYSICAL REVIEW E, vol. 106, no. 2, 2022.
@article{01H30AVGKPM89JQ87Z9NQSG10E,
  abstract     = {{Spiral waves occur in various types of excitable media and their dynamics determine the spatial excitation patterns. An important type of spiral wave dynamics is drift, as it can control the position of a spiral wave or eliminate a spiral wave by forcing it to the boundary. In theoretical and experimental studies of the Belousov-Zhabotinsky reaction, it was shown that the most direct way to induce the controlled drift of spiral waves is by application of an external electric field. Mathematically such drift occurs due to the onset of additional gradient terms in the Laplacian operator describing excitable media. However, this approach does not work for cardiac excitable tissue, where an external electric field does not result in gradient terms. In this paper, we propose a method of how to induce a directed linear drift of spiral waves in cardiac tissue, which can be realized as an optical feedback control in tissue where photosensitive ion channels are expressed. We illustrate our method by using the FitzHugh-Nagumo model for cardiac tissue and the generic model of photosensitive ion channels. We show that our method works for continuous and discrete light sources and can effectively move spiral waves in cardiac tissue, or eliminate them by collisions with the boundary or with another spiral wave. We finally implement our method by using a biophysically motivated photosensitive ion channel model included to the Luo-Rudy model for cardiac cells and show that the proposed feedback control also induces directed linear drift of spiral waves in a wide range of light intensities.}},
  articleno    = {{024405}},
  author       = {{Xia, Yuan-Xu and  Zhi, Xin-Pei and  Li, Teng-Chao and  Pan, Jun-Ting and Panfilov, Alexander and  Zhang, Hong}},
  issn         = {{2470-0045}},
  journal      = {{PHYSICAL REVIEW E}},
  keywords     = {{EXCITABLE MEDIA,ELECTRIC-FIELD,VORTICES,DYNAMICS,MODEL,PHOTOCYCLES,EXCITATION,PATTERNS}},
  language     = {{eng}},
  number       = {{2}},
  pages        = {{9}},
  publisher    = {{Amer Physical Soc}},
  title        = {{Spiral wave drift under optical feedback in cardiac tissue}},
  url          = {{http://doi.org/10.1103/PhysRevE.106.024405}},
  volume       = {{106}},
  year         = {{2022}},
}

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