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Wavefront-obstacle interactions and the initiation of reentry in excitable media

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  • Rostami, Zahra
  • Rajagopal, Karthikeyan
  • Khalaf, Abdul Jalil M.
  • Jafari, Sajad
  • Perc, Matjaž
  • Slavinec, Mitja

Abstract

The combination of the heart’s electrical and mechanical activities gives rise to complex dynamics. The reentry, which is one of the most prominent types of heart arrhythmias, is the result of an abnormal electrical activity in the cardiac tissue. These abnormalities are often associated with local non-excitable or partially excitable areas in the cardiac tissue called obstacles. In fact, the proper rhythm for the constriction of cardiomyocytes can be broken by these abnormal obstacles. In this study, we investigate the electrical patterns in a model of excitable media resulting from the interaction between the obstacle and the wavefronts. We consider a slice of cardiac tissue with a rectangular obstacle in vertical and horizontal orientation. Our research reveals that the interaction of the wavefront-obstacle can give rise to reentry and spiral waves. It is also found that a wider section of the obstacle towards the direction of wave propagation causes more deformation in the spatial patterns. In addition, since it can postpone reentry, the continuity of the successive plane waves also determines the resulting spatial patterns.

Suggested Citation

  • Rostami, Zahra & Rajagopal, Karthikeyan & Khalaf, Abdul Jalil M. & Jafari, Sajad & Perc, Matjaž & Slavinec, Mitja, 2018. "Wavefront-obstacle interactions and the initiation of reentry in excitable media," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 509(C), pages 1162-1173.
    • Handle: RePEc:eee:phsmap:v:509:y:2018:i:c:p:1162-1173
    DOI: 10.1016/j.physa.2018.06.062
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    References listed on IDEAS

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    1. Olmos-Liceaga, Daniel & Ocejo-Monge, Humberto, 2017. "On the generation of spiral and scroll waves by periodic stimulation of excitable media in the presence of obstacles of minimum size," Chaos, Solitons & Fractals, Elsevier, vol. 99(C), pages 162-170.
    2. Perc, Matjaž, 2007. "Effects of small-world connectivity on noise-induced temporal and spatial order in neural media," Chaos, Solitons & Fractals, Elsevier, vol. 31(2), pages 280-291.
    3. Wu, Fuqiang & Wang, Ya & Ma, Jun & Jin, Wuyin & Hobiny, Aatef, 2018. "Multi-channels coupling-induced pattern transition in a tri-layer neuronal network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 493(C), pages 54-68.
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    Cited by:

    1. Yu, Yang F. & Fuller, Chase A. & McGuire, Margaret K. & Glaser, Rebecca & Smith, Nathaniel J. & Manz, Niklas & Lindner, John F., 2021. "Disruption and recovery of reaction–diffusion wavefronts interacting with concave, fractal, and soft obstacles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 565(C).
    2. Rajagopal, Karthikeyan & Nezhad Hajian, Dorsa & Natiq, Hayder & Peng, Yuexi & Parastesh, Fatemeh & Jafari, Sajad, 2024. "Effect of Gaussian gradient in the medium's action potential morphology on spiral waves," Applied Mathematics and Computation, Elsevier, vol. 470(C).
    3. Rajagopal, Karthikeyan & Hussain, Iqtadar & Rostami, Zahra & Li, Chunbiao & Pham, Viet-Thanh & Jafari, Sajad, 2021. "Magnetic induction can control the effect of external electrical stimuli on the spiral wave," Applied Mathematics and Computation, Elsevier, vol. 390(C).
    4. Parastesh, Fatemeh & Rajagopal, Karthikeyan & Alsaadi, Fawaz E. & Hayat, Tasawar & Pham, V.-T. & Hussain, Iqtadar, 2019. "Birth and death of spiral waves in a network of Hindmarsh–Rose neurons with exponential magnetic flux and excitable media," Applied Mathematics and Computation, Elsevier, vol. 354(C), pages 377-384.
    5. Wang, Zhen & Rostami, Zahra & Jafari, Sajad & Alsaadi, Fawaz E. & Slavinec, Mitja & Perc, Matjaž, 2019. "Suppression of spiral wave turbulence by means of periodic plane waves in two-layer excitable media," Chaos, Solitons & Fractals, Elsevier, vol. 128(C), pages 229-233.
    6. Panahi, Shirin & Shirzadian, Touraj & Jalili, Mahdi & Jafari, Sajad, 2019. "A new chaotic network model for epilepsy," Applied Mathematics and Computation, Elsevier, vol. 346(C), pages 395-407.
    7. Smith, Nathaniel J. & Glaser, Rebecca & Hui, Vincent W.H. & Lindner, John F. & Manz, Niklas, 2019. "Disruption and recovery of reaction–diffusion wavefronts colliding with obstacles," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 517(C), pages 307-320.
    8. Ding, Qianming & Wu, Yong & Hu, Yipeng & Liu, Chaoyue & Hu, Xueyan & Jia, Ya, 2023. "Tracing the elimination of reentry spiral waves in defibrillation: Temperature effects," Chaos, Solitons & Fractals, Elsevier, vol. 174(C).

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