https://doi.org/10.1140/epjp/s13360-023-04684-w
Regular Article
Modulating vibrational resonance and Hamiltonian energy in Izhikevich neuron through autaptic regulation
Department of Physics, College of Sciences, Nanjing Agricultural University, 210095, Nanjing, China
Received:
7
September
2023
Accepted:
11
November
2023
Published online:
27
November
2023
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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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2023. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.