IDEAS home Printed from https://ideas.repec.org/a/eee/apmaco/v354y2019icp377-384.html
   My bibliography  Save this article

Birth and death of spiral waves in a network of Hindmarsh–Rose neurons with exponential magnetic flux and excitable media

Author

Listed:
  • Parastesh, Fatemeh
  • Rajagopal, Karthikeyan
  • Alsaadi, Fawaz E.
  • Hayat, Tasawar
  • Pham, V.-T.
  • Hussain, Iqtadar

Abstract

Spiral waves are spatiotemporal patterns, observed in complex networks of biological oscillators such as heart and brain. In this paper, at first a modified Hindmarsh–Rose model with external electromagnetic radiation and discontinuous exponential flux coupling is introduced. Then a 2-dimensional network of the proposed model is constructed. The spatiotemporal patterns of the network are investigated in two different cases of periodic and quasi-periodic external magnetic excitations, by varying the external force parameters. As a consequence, the effective factors on the formation and elimination of spiral waves are reported.

Suggested Citation

  • 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.
    • Handle: RePEc:eee:apmaco:v:354:y:2019:i:c:p:377-384
    DOI: 10.1016/j.amc.2019.02.041
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0096300319301456
    Download Restriction: Full text for ScienceDirect subscribers only
    File URL: https://libkey.io/10.1016/j.amc.2019.02.041?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
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. Jalili, Mahdi, 2017. "Spike phase synchronization in multiplex cortical neural networks," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 466(C), pages 325-333.
    2. Alok Ranjan Nayak & T K Shajahan & A V Panfilov & Rahul Pandit, 2013. "Spiral-Wave Dynamics in a Mathematical Model of Human Ventricular Tissue with Myocytes and Fibroblasts," PLOS ONE, Public Library of Science, vol. 8(9), pages 1-25, September.
    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.
    4. Parastesh, Fatemeh & Azarnoush, Hamed & Jafari, Sajad & Hatef, Boshra & Perc, Matjaž & Repnik, Robert, 2019. "Synchronizability of two neurons with switching in the coupling," Applied Mathematics and Computation, Elsevier, vol. 350(C), pages 217-223.
    5. Zheng, Yan Hong & Lu, Qi Shao, 2008. "Spatiotemporal patterns and chaotic burst synchronization in a small-world neuronal network," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 387(14), pages 3719-3728.
    6. 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.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Li, Fan & Liu, Shuai & Li, Xiaola, 2022. "Pattern selection in thermosensitive neuron network induced by noise," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 589(C).
    2. Li, Xuening & Xie, Ying & Ye, Zhiqiu & Huang, Weifang & Yang, Lijian & Zhan, Xuan & Jia, Ya, 2024. "Chimera-like state in the bistable excitatory-inhibitory cortical neuronal network," Chaos, Solitons & Fractals, Elsevier, vol. 180(C).
    3. 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).
    4. Rajagopal, Karthikeyan & Jafari, Sajad & Li, Chunbiao & Karthikeyan, Anitha & Duraisamy, Prakash, 2021. "Suppressing spiral waves in a lattice array of coupled neurons using delayed asymmetric synapse coupling," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    5. Hu, Jingting & Bao, Han & Xu, Quan & Chen, Mo & Bao, Bocheng, 2024. "Synchronization generations and transitions in two map-based neurons coupled with locally active memristor," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    6. 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).
    7. Mondal, Arnab & Upadhyay, Ranjit Kumar & Mondal, Argha & Sharma, Sanjeev Kumar, 2022. "Emergence of Turing patterns and dynamic visualization in excitable neuron model," Applied Mathematics and Computation, Elsevier, vol. 423(C).

    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. 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).
    2. 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.
    3. Hu, Jingting & Bao, Han & Xu, Quan & Chen, Mo & Bao, Bocheng, 2024. "Synchronization generations and transitions in two map-based neurons coupled with locally active memristor," Chaos, Solitons & Fractals, Elsevier, vol. 184(C).
    4. Soling Zimik & Nele Vandersickel & Alok Ranjan Nayak & Alexander V Panfilov & Rahul Pandit, 2015. "A Comparative Study of Early Afterdepolarization-Mediated Fibrillation in Two Mathematical Models for Human Ventricular Cells," PLOS ONE, Public Library of Science, vol. 10(6), pages 1-20, June.
    5. Yu, Xihong & Bao, Han & Chen, Mo & Bao, Bocheng, 2023. "Energy balance via memristor synapse in Morris-Lecar two-neuron network with FPGA implementation," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    6. Lu, Lulu & Ge, Mengyan & Xu, Ying & Jia, Ya, 2019. "Phase synchronization and mode transition induced by multiple time delays and noises in coupled FitzHugh–Nagumo model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 535(C).
    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. Rajagopal, Karthikeyan & Jafari, Sajad & Li, Chunbiao & Karthikeyan, Anitha & Duraisamy, Prakash, 2021. "Suppressing spiral waves in a lattice array of coupled neurons using delayed asymmetric synapse coupling," Chaos, Solitons & Fractals, Elsevier, vol. 146(C).
    9. 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).
    10. Arsenii Dokuchaev & Alexander V. Panfilov & Olga Solovyova, 2020. "Myocardial Fibrosis in a 3D Model: Effect of Texture on Wave Propagation," Mathematics, MDPI, vol. 8(8), pages 1-16, August.
    11. Zhao, Tingting & Hu, Cheng & Huang, Jie & Yu, Juan, 2024. "Fixed/Prescribed-time synchronization of multi-layer complex networks under switching control," Chaos, Solitons & Fractals, Elsevier, vol. 185(C).
    12. Kafraj, Mohadeseh Shafiei & Parastesh, Fatemeh & Jafari, Sajad, 2020. "Firing patterns of an improved Izhikevich neuron model under the effect of electromagnetic induction and noise," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    13. 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).
    14. 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).
    15. Shadizadeh, S. Mohadeseh & Nazarimehr, Fahimeh & Jafari, Sajad & Rajagopal, Karthikeyan, 2022. "Investigating different synaptic connections of the Chay neuron model," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 607(C).
    16. Guo, Wanying & Meng, Shuyu & Qi, Ruotong & Li, Wenxue & Wu, Yongbao, 2024. "Existence of stationary distribution for stochastic coupled nonlinear strict-feedback systems with Markovian switching," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    17. Li, Chengren & Lü, Ling & Sun, Ying & Wang, Ying & Wang, Wenjun & Sun, Ao, 2016. "Parameter identification and synchronization for uncertain network group with different structures," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 457(C), pages 624-631.
    18. Liu, Yuanyuan & Sun, Zhongkui & Yang, Xiaoli & Xu, Wei, 2021. "Dynamical robustness and firing modes in multilayer memristive neural networks of nonidentical neurons," Applied Mathematics and Computation, Elsevier, vol. 409(C).
    19. Wang, Zhen & Parastesh, Fatemeh & Rajagopal, Karthikeyan & Hamarash, Ibrahim Ismael & Hussain, Iqtadar, 2020. "Delay-induced synchronization in two coupled chaotic memristive Hopfield neural networks," Chaos, Solitons & Fractals, Elsevier, vol. 134(C).
    20. Nazarimehr, Fahimeh & Panahi, Shirin & Jalili, Mahdi & Perc, Matjaž & Jafari, Sajad & Ferčec, Brigita, 2020. "Multivariable coupling and synchronization in complex networks," Applied Mathematics and Computation, Elsevier, vol. 372(C).

    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:eee:apmaco:v:354:y:2019:i:c:p:377-384. 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: Catherine Liu (email available below). General contact details of provider: https://www.journals.elsevier.com/applied-mathematics-and-computation .

    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.