Firing activity in an N-type locally active memristor-based Hodgkin–Huxley circuit

Hodgkin–Huxley (HH) circuit can reproduce abundant neuronal firing activities, but it is hard to physically implement the HH circuit. To solve this issue, an implementable HH circuit with two N-type locally active memristors (LAMs) to respectively characterize its \({\textrm{Na}}^+\) ${\text{Na}}^{+}$ and \({\textrm{K}}^+\) ${\text{K}}^{+}$ channels is proposed in this paper. Numerical explorations demonstrate that the N-type LAM-based Hodgkin–Huxley (N-LAM-HH) circuit can effectively generate periodic and chaotic firing activities. Moreover, a PCB-based hardware circuit is physically implemented and experimental measurement is performed. The experimentally captured time-domain waveforms of chaotic and periodic firing activities well confirm the numerical explorations. These verify the feasibility of the LAM in characterizing \({\textrm{Na}}^+\) ${\text{Na}}^{+}$ and \({\textrm{K}}^+\) ${\text{K}}^{+}$ channels and the availability of the N-LAM-HH circuit in generating firing activities, which can assist us in building the memristor-based neuromorphic hardware and exploring spike-based applications