Numerical bifurcation analysis of improved denatured Morris-Lecar neuron model

TL;DR

This paper performs a numerical bifurcation analysis on an improved denatured Morris-Lecar neuron model to understand how electromagnetic induction and external currents influence neuronal dynamics, revealing various behaviors from regular spiking to bursting.

Contribution

It introduces an analysis of the improved denatured Morris-Lecar model's dynamics under electromagnetic effects, highlighting how parameters affect neuronal activity.

Findings

Dynamical behavior varies with parameter changes.

External periodic current induces complex bursting.

Electromagnetic flux influences neuron firing patterns.

Abstract

It is well-known that the electrical activities of neurons are induced by a wide variety of external factors. This work considers the effect of electromagnetic induction on improved denatured Morris-Lecar neuron model. The dependence of dynamical behaviour of the original denatured Morris-Lecar model on parameters is addressed through numerical bifurcation analysis. This allows us to explore the changes in dynamics of the model qualitatively as parameters are varied. Then we investigate the effects of external periodic current and electromagnetic flux on the dynamical properties of the improved denatured Morris-Lecar neuron model. Different types of dynamical behaviour, ranging from regular periodic spiking to complex bursting, are found when the multiple parameters are varied simultaneously. The improved model could be applied to research where simple models are required for physiological and pathophysiological responses in neurons.