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Modulating vibrational resonance and Hamiltonian energy in Izhikevich neuron through autaptic regulation

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Abstract

In our study, we examined the effects of autaptic regulation on neuronal activity and function. Specifically, we explored how both electrical and chemical autaptic currents impact vibration resonance and Hamiltonian energy using the Izhikevich neuron model. Our main findings include the discovery that the electrical autaptic coupling strengths in the electrical autaptic current significantly influences the neuron’s response to low-frequency signals. We identified an optimal autaptic coupling strength that induces neuronal vibration resonance through autaptic current modulation. Additionally, we observed that increasing the strength of excitatory-type chemical autaptic current led to an enhanced inhibition of vibration resonance. Simultaneously regulating both types of autaptic currents revealed a range of electrical and chemical autaptic current intensities that produced favorable vibration resonance, ultimately improving the system’s response to low-frequency signals. Moreover, our study emphasized the significant impact of autaptic currents on neuronal discharge modes and their corresponding variations in Hamiltonian energy. In summary, our research underscores the importance of autaptic regulation in modulating neuronal responses and provides insights into optimizing autaptic feedback gain for resonance induction, as well as its effects on Hamiltonian energy and neuronal dynamics.

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Data Availability Statement

This manuscript has associated data in a data repository. [Authors’ comment: Data will be made available on reasonable request].

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Acknowledgements

This study was supported by the National Natural Science Foundation of China under Grant No. 12205154 and Fundamental Research Funds for the Central Universities under Grant No. KYQN2023017. National Natural Science Foundation of China under Grant No. ZX2200468 and Fundamental Research Funds for the Central Universities under Grant No. KYQN2023016; Natural Science Foundation of Jiangsu Province (Grant No. BK20200550).

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Authors and Affiliations

  1. Department of Physics, College of Sciences, Nanjing Agricultural University, Nanjing, 210095, China

    Mengyan Ge, Haohao Wang & Yao Chen

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  1. Mengyan Ge
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  2. Haohao Wang
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We declare that all the authors have same contributions to this paper.

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Correspondence to Yao Chen.

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Ge, M., Wang, H. & Chen, Y. Modulating vibrational resonance and Hamiltonian energy in Izhikevich neuron through autaptic regulation. Eur. Phys. J. Plus 138, 1047 (2023). https://doi.org/10.1140/epjp/s13360-023-04684-w

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