https://doi.org/10.1140/epjp/s13360-023-04472-6
Regular Article
Firing activity in a simplified Hodgkin–Huxley circuit with memristive sodium and potassium ion channels
School of Microelectronics and Control Engineering, Changzhou University, 213159, Changzhou, China
Received:
18
August
2023
Accepted:
12
September
2023
Published online:
23
September
2023
Sodium and potassium ion channels are significant for generating spiking behaviors in excitable neurons. The marvelous Hodgkin–Huxley (HH) circuit employs time-varying resistors to describe electrophysiological properties of the ion channels and to constrict the relation between membrane potential and ion currents. It is a difficult task to analog implement the marvelous HH circuit, since it contains mixed exponential function for describing the ion currents. To solve and mitigate this issue, a simplified HH circuit with memristive sodium and potassium ion channels is constructed. In the simplified memristive Hodgkin–Huxley (mHH) circuit, a second-order (2nd-order) locally active memristor (LAM) for characterizing sodium ion channel and a first-order (1st-order) LAM for characterizing the potassium ion channel are employed. Numerical simulations employing several numerical tools are utilized to offer unique insight into exploring the dynamical behavior and firing activity of the simplified mHH circuit, which delight that LAMs- and stimulus-related parameters can be used to regulate the generation of various spiking behaviors. Moreover, a PCB-based analog circuit is made by using discrete circuit components and hardware experiment is performed. The experimentally measured results well verify the numerically simulated spiking behaviors. The numerical simulations and experimental confirmations display that the simplified mHH circuit is feasible in producing various neuron firing activities and benefit for developing spike-based applications.
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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.
