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Suppressing spiral waves with delayed asymmetric bidirectional coupling in a multi-layer biological network

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Abstract

Instinct delay in biological systems is a significant parameter in analyzing complex biological systems like neuronal networks. Also, considering the interactive neurons in complex networks, a new window is opened into computational neuroscience. This paper aims to analyze the time delays in a multi-layer lattice with asymmetric bidirectional coupling between layers. The effect of time delays in the suppression spiral wave turbulence is investigated. The primary focus of this research is on the interlayer coupling with both single and multiple time delays. To this end, a two-layer network of excitable media is considered in which the Morris-Lecar neuron model governs each individual node’s dynamics. The results reveal that the time delays in only one of the layers cannot effectively suppress the waves while considering them in both layers can effectively make them homogeneous. Further, using multiple time delays in both layers can eliminate the spiral waves with much lower time delays.

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Authors and Affiliations

  1. Center for Nonlinear Systems, Chennai Institute of Technology, Chennai, India

    Karthikeyan Rajagopal

  2. Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., Tehran, 15875-4413, Iran

    Shirin Panahi

  3. Health Technology Research Institute, Amirkabir University of Technology, No. 350, Hafez Ave, Valiasr Square, Tehran, 159163-4311, Iran

    Zahra Shourgashti

  4. Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam

    Anitha Karthikeyan

  5. Department of Mathematics, Statistics and Physics, Qatar University, Doha, 2713, Qatar

    Iqtadar Hussain

Authors
  1. Karthikeyan Rajagopal
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  2. Shirin Panahi
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  3. Zahra Shourgashti
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  4. Anitha Karthikeyan
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  5. Iqtadar Hussain
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Correspondence to Anitha Karthikeyan.

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Rajagopal, K., Panahi, S., Shourgashti, Z. et al. Suppressing spiral waves with delayed asymmetric bidirectional coupling in a multi-layer biological network. Eur. Phys. J. Spec. Top. 231, 921–927 (2022). https://doi.org/10.1140/epjs/s11734-021-00303-w

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  • DOI: https://doi.org/10.1140/epjs/s11734-021-00303-w

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