Eur. Phys. J. Spec. Top. (2022) 231: 921-927
https://doi.org/10.1140/epjs/s11734-021-00303-w

Regular Article

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

¹ Center for Nonlinear Systems, Chennai Institute of Technology, Chennai, India
² Department of Biomedical Engineering, Amirkabir University of Technology, 424 Hafez Ave., 15875-4413, Tehran, Iran
³ Health Technology Research Institute, Amirkabir University of Technology, No. 350, Hafez Ave, Valiasr Square, 159163-4311, Tehran, Iran
⁴ Nonlinear Systems and Applications, Faculty of Electrical and Electronics Engineering, Ton Duc Thang University, Ho Chi Minh City, Vietnam
⁵ Department of Mathematics, Statistics and Physics, Qatar University, 2713, Doha, Qatar

^d mrs.anithakarthikeyan@gmail.com

Received: 3 January 2021
Accepted: 25 October 2021
Published online: 2 February 2022

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.