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On the generation of spiral and scroll waves by periodic stimulation of excitable media in the presence of obstacles of minimum size

Author

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  • Olmos-Liceaga, Daniel
  • Ocejo-Monge, Humberto

Abstract

In this work we consider the periodic stimulation of two and three dimensional excitable media in the presence of obstacles with an emphasis on cardiac dynamics. We focus our attention in the understanding of the minimum size obstacles that allow generation of spiral and scroll waves, and describe different mechanisms that lead to the formation of such waves. The present study might be helpful in understanding and controlling the appearance of spiral and scroll waves in the medium.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:chsofr:v:99:y:2017:i:c:p:162-170
    DOI: 10.1016/j.chaos.2017.04.014
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    Cited by:

    1. El-Nabulsi, Rami Ahmad & Anukool, Waranont, 2024. "Spiral waves in fractal dimensions and their elimination in λ − ω systems with less damaging intervention," Chaos, Solitons & Fractals, Elsevier, vol. 178(C).
    2. 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.
    3. Rostami, Zahra & Pham, Viet-Thanh & Jafari, Sajad & Hadaeghi, Fatemeh & Ma, Jun, 2018. "Taking control of initiated propagating wave in a neuronal network using magnetic radiation," Applied Mathematics and Computation, Elsevier, vol. 338(C), pages 141-151.

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