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Dynamics of a neuron with a hybrid memristive ion channel

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  • Yu, Zhenhua
  • Zhu, Kailong
  • Wang, Ya
  • Yang, Feifei

Abstract

From the viewpoint of the physical, the membrane potential of the biological neuron can be effectively expressed by applying a capacitor. The ion channel in the neuron model can be selected the electrical element the relative to electromagnetic field to estimate and describe. In this paper, a hybrid memristive ion channel is built by connecting an inductor in series to a charge-controlled memristor (CCM), and a neural circuit with a hybrid memristive ion channel is designed by paralleling a capacitor and a nonlinear resistor to both sides of the hybrid memristive ion channel. Furthermore, the oscillator model of neural circuit and its energy function are derived by using the Kirchhoff's Current Law (KCL), Kirchhoff's Voltage Law (KVL) and Helmholtz's theorem. Furthermore, an adaptive regulation law is designed for investigating the self-regulation of neurons. The results illustrate that electrical activities of the neuron model with a hybrid memristive ion channel can be controlled by the external electric field distribution, and its firing modes are also adjusted by the energy ratio of the capacitor to the total energy in the neural circuit. This study is helpful to build artificial neurons with mixed ion channels.

Suggested Citation

  • Yu, Zhenhua & Zhu, Kailong & Wang, Ya & Yang, Feifei, 2025. "Dynamics of a neuron with a hybrid memristive ion channel," Chaos, Solitons & Fractals, Elsevier, vol. 194(C).
    • Handle: RePEc:eee:chsofr:v:194:y:2025:i:c:s0960077925002462
    DOI: 10.1016/j.chaos.2025.116233
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    References listed on IDEAS

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    1. Yu, Xihong & Bao, Han & Chen, Mo & Bao, Bocheng, 2023. "Energy balance via memristor synapse in Morris-Lecar two-neuron network with FPGA implementation," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    2. Zhou, Ping & Xu, Ying & Ma, Jun, 2023. "Dynamical and coherence resonance in a photoelectric neuron under autaptic regulation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 620(C).
    3. Yang, Feifei & Ma, Jun & Wu, Fuqiang, 2024. "Review on memristor application in neural circuit and network," Chaos, Solitons & Fractals, Elsevier, vol. 187(C).
    4. Baysal, Veli & Calim, Ali, 2023. "Stochastic resonance in a single autapse–coupled neuron," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    5. Xiaoyu Hu & Chongxin Liu, 2019. "Bursting and Synchronization of Coupled Neurons under Electromagnetic Radiation," Complexity, Hindawi, vol. 2019, pages 1-10, December.
    6. Wu, Fuqiang & Ma, Jun & Zhang, Ge, 2019. "A new neuron model under electromagnetic field," Applied Mathematics and Computation, Elsevier, vol. 347(C), pages 590-599.
    7. Palabas, Tugba & Torres, Joaquín J. & Perc, Matjaž & Uzuntarla, Muhammet, 2023. "Double stochastic resonance in neuronal dynamics due to astrocytes," Chaos, Solitons & Fractals, Elsevier, vol. 168(C).
    8. Xu, Ying & Guo, Yeye & Ren, Guodong & Ma, Jun, 2020. "Dynamics and stochastic resonance in a thermosensitive neuron," Applied Mathematics and Computation, Elsevier, vol. 385(C).
    9. Sun, Guoping & Yang, Feifei & Ren, Guodong & Wang, Chunni, 2023. "Energy encoding in a biophysical neuron and adaptive energy balance under field coupling," Chaos, Solitons & Fractals, Elsevier, vol. 169(C).
    10. Guo, Yeye & Wang, Chunni & Yao, Zhao & Xu, Ying, 2022. "Desynchronization of thermosensitive neurons by using energy pumping," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 602(C).
    11. Yang, Feifei & Song, Xinlin & Yu, Zhenhua, 2024. "Dynamics of a functional neuron model with double membranes," Chaos, Solitons & Fractals, Elsevier, vol. 188(C).
    12. Guo, Yitong & Xie, Ying & Ma, Jun, 2023. "Nonlinear responses in a neural network under spatial electromagnetic radiation," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 626(C).
    13. Yao, Zhao & Wang, Chunni, 2021. "Control the collective behaviors in a functional neural network," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    14. Ma, Xiaowen & Xu, Ying, 2022. "Taming the hybrid synapse under energy balance between neurons," Chaos, Solitons & Fractals, Elsevier, vol. 159(C).
    15. Jules Tagne Fossi & Vandi Deli & Hélène Carole Edima & Zeric Tabekoueng Njitacke & Florent Feudjio Kemwoue & Jacques Atangana, 2022. "Phase synchronization between two thermo-photoelectric neurons coupled through a Josephson Junction," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(4), pages 1-17, April.
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