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Influence of sodium inward current on the dynamical behaviour of modified Morris-Lecar model

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  • H. O. Fatoyinbo

    (School of Fundamental Sciences, Massey University)

  • S. S. Muni

    (School of Fundamental Sciences, Massey University)

  • A. Abidemi

    (Federal University of Technology)

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 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. Graphical abstract

Suggested Citation

  • H. O. Fatoyinbo & S. S. Muni & A. Abidemi, 2022. "Influence of sodium inward current on the dynamical behaviour of modified Morris-Lecar model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 95(1), pages 1-15, January.
    • Handle: RePEc:spr:eurphb:v:95:y:2022:i:1:d:10.1140_epjb_s10051-021-00269-7
    DOI: 10.1140/epjb/s10051-021-00269-7
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    References listed on IDEAS

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    1. Shepelev, I.A. & Bukh, A.V. & Muni, S.S. & Anishchenko, V.S., 2020. "Role of solitary states in forming spatiotemporal patterns in a 2D lattice of van der Pol oscillators," Chaos, Solitons & Fractals, Elsevier, vol. 135(C).
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    Cited by:

    1. Sebastian Jenderny & Karlheinz Ochs & Philipp Hövel, 2023. "A memristor-based circuit approximation of the Hindmarsh–Rose model," The European Physical Journal B: Condensed Matter and Complex Systems, Springer;EDP Sciences, vol. 96(8), pages 1-10, August.

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