4.4 Article

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

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EUROPEAN PHYSICAL JOURNAL-SPECIAL TOPICS
卷 231, 期 5, 页码 921-927

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SPRINGER HEIDELBERG
DOI: 10.1140/epjs/s11734-021-00303-w

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  1. Centre for Nonlinear Systems, Chennai Institute of Technology, India [CIT/CNS/2022/RD/006]

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This paper investigates the effect of time delays in suppressing wave turbulence in a neuronal network. By analyzing a multi-layer lattice with time delays, it is found that considering time delays in both layers can effectively suppress waves, and using multiple time delays in both layers can eliminate spiral waves with lower time delays.
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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