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Modulated nerve impulse solution of memristive photosensitive neural networks

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Abstract

In this paper, a clear analytical approach is performed to show the emergence and propagation of traveling modulated nerve impulse signal in a network of meristive photosensitive neural networks. By transforming the model equation into a wave equation, we deduce the conditions permitting us to describe explicitly the exact nature of the nerve impulse propagating in the network via the reductive perturbation approach in the semi-discrete approximation limit. The result shows that the dynamics of the information signal could be modeled by the coupled complex Ginzburg–Landau equation with breathing solitonic solutions. The impact of the series expansion parameter on the propagating nerve impulse signal are presented and discussed. Breathing solitonic nerve impulse is confirmed as one of the precursors of information transport mode in neural networks.

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Data Availability Statement

The data sets generated during and/or analyzed during the current study are available from the corresponding author on reasonable request.

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Authors and Affiliations

  1. Laboratory of Biophysics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon

    J. S. Njem Njem

  2. Department of Electrical and Electronic Engineering, College of Technology, University of Buea, P.O. Box 63, Buea, Cameroon

    C. N. Takembo & Z. T. Njitacke

  3. Laboratory of Mechanics, Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box 812, Yaounde, Cameroon

    S. I. Fewo & T. C. Kofane

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  1. J. S. Njem Njem
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  2. C. N. Takembo
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  3. Z. T. Njitacke
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Correspondence to C. N. Takembo.

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Njem Njem, J.S., Takembo, C.N., Njitacke, Z.T. et al. Modulated nerve impulse solution of memristive photosensitive neural networks. Eur. Phys. J. Plus 138, 1041 (2023). https://doi.org/10.1140/epjp/s13360-023-04686-8

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