Dynamical effects of low-frequency and high-frequency current stimuli in a memristive Morris–Lecar neuron model

Quan Xu, Kai Wang, Chengtao Feng, Weiwei Fan and Ning Wang

Chaos, Solitons & Fractals, 2024, vol. 189, issue P1

Abstract: This paper deduces that the potassium and calcium ion currents in the two-dimensional (2D) Morris–Lecar neuron model can be respectively characterized by a passive memristor and a locally active memristor. Then a memristive Morris–Lecar neuron model with an equivalent circuit scheme is first constructed. The equilibrium trajectory and its stability are analyzed, which displays fold and Hopf bifurcations with proper model parameters. Bursting behavior and mixed-mode oscillations with after-depolarizing potential for low-frequency current stimulus are numerically disclosed. Besides, the bifurcation mechanisms for bursting behavior and mixed-mode oscillations are theoretically deduced. Furthermore, the firing patterns and antimonotonicity phenomenon for high-frequency current stimulus are numerically discovered. This study provides a new concept for building memristive bionic circuits from neuron models with well-defined ion channel currents.

Keywords: Bursting behavior; Locally active memristor; Passive memristor; Ion channel; Morris–Lecar neuron model (search for similar items in EconPapers)
Date: 2024
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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:189:y:2024:i:p1:s0960077924011986

DOI: 10.1016/j.chaos.2024.115646

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