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Effect of Noise variance in spiral wave suppression for a multi-layered neuron model with flux coupling modelled using a memristor

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Abstract

Dynamics of multi-layered neuronal network are challenging and spiral wave suppression is vital particularly in biological systems such as cortical tissue in brain, heart muscles etc., In this study, one-, two- and three-layer neuronal network of an exponential flux memristor-based Morris-Lecar neuron model subjected to low-frequency electromagnetic field (MLELF) is considered and the influence of noise variance in spiral wave suppression is investigated. A Box- Muller type Gaussian noise is used as stimulation and the influence of noise variance on neuronal network is studied. The results exposed the multilayer neuronal network influenced much by a very low noise variance on spiral wave suppression while compared with the single-layer network. As increase in noise variance, the dynamics of the spiral wave changes significantly and ended with turbulence. The study highlighted the spiral waves can be potentially suppressed even the network is under higher frequency external electric field using noise variance.

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Data availability statement

The data that support the findings of this study are available from the corresponding author upon reasonable request. This manuscript has associated data in a data repository. [Authors’ comment: The authors confirm that the data supporting the findings of this study are available within the article.]

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Funding

This work was partially funded by the Research grant of Centre for Nonlinear Systems, Chennai Institute of Technology with reference number CIT/CNS/2021/RP-017.

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Authors and Affiliations

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

    Balamurali Ramakrishnan, Ashokkumar Srinivasan & Karthikeyan Rajagopal

  2. Department of Electronics and Communication Engineering, Prathyusha Engineering College, Chennai, 602025, India

    Anitha Karthikeyan

Authors
  1. Balamurali Ramakrishnan
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  2. Anitha Karthikeyan
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  3. Ashokkumar Srinivasan
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  4. Karthikeyan Rajagopal
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Ramakrishnan, B., Karthikeyan, A., Srinivasan, A. et al. Effect of Noise variance in spiral wave suppression for a multi-layered neuron model with flux coupling modelled using a memristor. Eur. Phys. J. Spec. Top. 231, 2439–2443 (2022). https://doi.org/10.1140/epjs/s11734-022-00478-w

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