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

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...

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Bibliographic Details
Published in:arXiv.org 2021-12
Main Authors: Fatoyinbo, Hammed Olawale, Sishu Shankar Muni, Abidemi, Afeez
Format: Article
Language:English
Subjects:
Bifurcations
Potassium
Resistance
Sodium
Online Access:Get full text
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Summary: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.
ISSN:2331-8422
DOI:10.48550/arxiv.2009.06979