IDEAS home Printed from https://ideas.repec.org/a/plo/pone00/0149842.html
   My bibliography  Save this article

The Fundamental Structure and the Reproduction of Spiral Wave in a Two-Dimensional Excitable Lattice

Author

Listed:
  • Yu Qian
  • Zhaoyang Zhang

Abstract

In this paper we have systematically investigated the fundamental structure and the reproduction of spiral wave in a two-dimensional excitable lattice. A periodically rotating spiral wave is introduced as the model to reproduce spiral wave artificially. Interestingly, by using the dominant phase-advanced driving analysis method, the fundamental structure containing the loop structure and the wave propagation paths has been revealed, which can expose the periodically rotating orbit of spiral tip and the charity of spiral wave clearly. Furthermore, the fundamental structure is utilized as the core for artificial spiral wave. Additionally, the appropriate parameter region, in which the artificial spiral wave can be reproduced, is studied. Finally, we discuss the robustness of artificial spiral wave to defects.

Suggested Citation

  • Yu Qian & Zhaoyang Zhang, 2016. "The Fundamental Structure and the Reproduction of Spiral Wave in a Two-Dimensional Excitable Lattice," PLOS ONE, Public Library of Science, vol. 11(2), pages 1-14, February.
    • Handle: RePEc:plo:pone00:0149842
    DOI: 10.1371/journal.pone.0149842
    as

    Download full text from publisher

    File URL: https://journals.plos.org/plosone/article?id=10.1371/journal.pone.0149842
    Download Restriction: no
    File URL: https://journals.plos.org/plosone/article/file?id=10.1371/journal.pone.0149842&type=printable
    Download Restriction: no
    File URL: https://libkey.io/10.1371/journal.pone.0149842?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    References listed on IDEAS

    as
    1. Richard A. Gray & Arkady M. Pertsov & José Jalife, 1998. "Spatial and temporal organization during cardiac fibrillation," Nature, Nature, vol. 392(6671), pages 75-78, March.
    Full references (including those not matched with items on IDEAS)

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Hu, Yipeng & Ding, Qianming & Wu, Yong & Jia, Ya, 2023. "Polarized electric field-induced drift of spiral waves in discontinuous cardiac media," Chaos, Solitons & Fractals, Elsevier, vol. 175(P1).
    2. Kathleen S McDowell & Sohail Zahid & Fijoy Vadakkumpadan & Joshua Blauer & Rob S MacLeod & Natalia A Trayanova, 2015. "Virtual Electrophysiological Study of Atrial Fibrillation in Fibrotic Remodeling," PLOS ONE, Public Library of Science, vol. 10(2), pages 1-16, February.
    3. 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.
    4. 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).
    5. 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).
    6. Laura Martinez-Mateu & Lucia Romero & Ana Ferrer-Albero & Rafael Sebastian & José F Rodríguez Matas & José Jalife & Omer Berenfeld & Javier Saiz, 2018. "Factors affecting basket catheter detection of real and phantom rotors in the atria: A computational study," PLOS Computational Biology, Public Library of Science, vol. 14(3), pages 1-26, March.
    7. Young-Seon Lee & Jun-Seop Song & Minki Hwang & Byounghyun Lim & Boyoung Joung & Hui-Nam Pak, 2016. "A New Efficient Method for Detecting Phase Singularity in Cardiac Fibrillation," PLOS ONE, Public Library of Science, vol. 11(12), pages 1-14, December.
    8. Rupamanjari Majumder & Alok Ranjan Nayak & Rahul Pandit, 2012. "Nonequilibrium Arrhythmic States and Transitions in a Mathematical Model for Diffuse Fibrosis in Human Cardiac Tissue," PLOS ONE, Public Library of Science, vol. 7(10), pages 1-21, October.
    9. Feng, Peihua & Fan, Qiang & Yuan, Zhixuan & Wu, Ying, 2021. "Transition from regular to labyrinth pattern in a neuronal network with fast inhibitory synapses," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).

    More about this item

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:plo:pone00:0149842. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: plosone (email available below). General contact details of provider: https://journals.plos.org/plosone/ .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.