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Firing patterns of an improved Izhikevich neuron model under the effect of electromagnetic induction and noise

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  • Kafraj, Mohadeseh Shafiei
  • Parastesh, Fatemeh
  • Jafari, Sajad

Abstract

The neuron's behavior is related to the changes in its complex electrophysiological environment such as variations in ion concentration. In this paper, a three-variable memristive Izhikevich model is proposed to describe the behavior of neurons under electromagnetic induction and noise. This model can represent the effect of internal and external magnetic fields on neurons. The improved model without the external magnetic field can exhibit firing patterns such as regular spiking, resonator, chattering, fast-spiking, chaotic spiking, and chaotic bursts. The presence of the external magnetic field causes the firing pattern of the neuron to change, for example shifting from chaotic firings to the periodic ones or vice versa. Furthermore, the firing rate of the neuron is increased. It is also observed that the external field effect can stimulate the neuron to fire, while in the absence of the external field, it is at rest. Finally, in order to detect the realistic neuron's activities, we examine the effect of Gaussian white noise on the improved model. The results show that the model has more robustness against noise with considering the external magnetic field.

Suggested Citation

  • Kafraj, Mohadeseh Shafiei & Parastesh, Fatemeh & Jafari, Sajad, 2020. "Firing patterns of an improved Izhikevich neuron model under the effect of electromagnetic induction and noise," Chaos, Solitons & Fractals, Elsevier, vol. 137(C).
    • Handle: RePEc:eee:chsofr:v:137:y:2020:i:c:s0960077920301843
    DOI: 10.1016/j.chaos.2020.109782
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    References listed on IDEAS

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    5. Xu, Quan & Wang, Yiteng & Wu, Huagan & Chen, Mo & Chen, Bei, 2024. "Periodic and chaotic spiking behaviors in a simplified memristive Hodgkin-Huxley circuit," Chaos, Solitons & Fractals, Elsevier, vol. 179(C).
    6. Fossi, Jules Tagne & Njitacke, Zeric Tabekoueng & Tankeu, William Nguimeya & Mendimi, Joseph Marie & Awrejcewicz, Jan & Atangana, Jacques, 2023. "Phase synchronization and coexisting attractors in a model of three different neurons coupled via hybrid synapses," Chaos, Solitons & Fractals, Elsevier, vol. 177(C).
    7. Fengling Jia & Peiyan He & Lixin Yang, 2024. "A Novel Coupled Memristive Izhikevich Neuron Model and Its Complex Dynamics," Mathematics, MDPI, vol. 12(14), pages 1-17, July.
    8. Xu, Quan & Wang, Yiteng & Chen, Bei & Li, Ze & Wang, Ning, 2023. "Firing pattern in a memristive Hodgkin–Huxley circuit: Numerical simulation and analog circuit validation," Chaos, Solitons & Fractals, Elsevier, vol. 172(C).
    9. Ma, Jun & Guo, Yitong, 2024. "Model approach of electromechanical arm interacted with neural circuit, a minireview," Chaos, Solitons & Fractals, Elsevier, vol. 183(C).
    10. Yu, Fei & Shen, Hui & Zhang, Zinan & Huang, Yuanyuan & Cai, Shuo & Du, Sichun, 2021. "Dynamics analysis, hardware implementation and engineering applications of novel multi-style attractors in a neural network under electromagnetic radiation," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    11. Njitacke, Zeric Tabekoueng & Ramakrishnan, Balamurali & Rajagopal, Karthikeyan & Fonzin Fozin, Théophile & Awrejcewicz, Jan, 2022. "Extremely rich dynamics of coupled heterogeneous neurons through a Josephson junction synapse," Chaos, Solitons & Fractals, Elsevier, vol. 164(C).
    12. Wang, Weiping & He, Chang & Wang, Zhen & Hramov, Alexander & Fan, Denggui & Yuan, Manman & Luo, Xiong & Kurths, Jürgen, 2021. "Dynamic analysis of synaptic loss and synaptic compensation in the process of associative memory ability decline in Alzheimer’s disease," Applied Mathematics and Computation, Elsevier, vol. 408(C).
    13. Xu, Quan & Wang, Kai & Chen, Mo & Parastesh, Fatemeh & Wang, Ning, 2024. "Bursting and spiking activities in a Wilson neuron circuit with memristive sodium and potassium ion channels," Chaos, Solitons & Fractals, Elsevier, vol. 181(C).
    14. Wang, Guowei & Wu, Yong & Xiao, Fangli & Ye, Zhiqiu & Jia, Ya, 2022. "Non-Gaussian noise and autapse-induced inverse stochastic resonance in bistable Izhikevich neural system under electromagnetic induction," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 598(C).

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