https://doi.org/10.1140/epjb/s10051-021-00269-7
Regular Article - Statistical and Nonlinear Physics
Influence of sodium inward current on the dynamical behaviour of modified Morris-Lecar model
1
School of Fundamental Sciences, Massey University, Palmerston North, New Zealand
2
Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria
Received:
11
September
2021
Accepted:
17
December
2021
Published online:
6
January
2022
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 the original Morris-Lecar model. The results in this study provide the interpretation of electrical activity in excitable cells and a platform for further study.
© The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature 2022
