Influence of Sodium Inward Current on Dynamical Behaviour of Modified Morris-Lecar Model

TL;DR

This study modifies the Morris-Lecar model by adding sodium inward current, revealing new bifurcation structures and dynamical behaviors, enhancing understanding of electrical activity in excitable cells.

Contribution

It introduces a modified Morris-Lecar model with sodium inward current and uncovers novel bifurcation structures not seen in the original model.

Findings

New bifurcation structures identified

Model exhibits diverse excitability properties

Provides insights into electrical activity in cells

Abstract

This paper presents a modified Morris-Lecar model by incorporating the sodium inward current. The dynamical behaviour of the model in response to key parameters is investigated. The model exhibits various excitability properties as the values of parameters are varied. We have examined the effects of changes in maximum ion conductances and external current on the dynamics of the membrane potential. A detailed numerical bifurcation analysis is conducted. The bifurcation structures obtained in this study are not present in existing bifurcation studies of original Morris-Lecar model. The results in this study provides the interpretation of electrical activity in excitable cells and a platform for further study.