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

  • Regular Article - Statistical and Nonlinear Physics
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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.

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Data Availability Statement

This manuscript has no associated data or the data will not be deposited. [Authors’ comment: The XPPAUT and MATCONT code in this study are available from the corresponding author upon reasonable request.]

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Acknowledgements

The authors are grateful for the extensive and constructive comments from the anonymous reviewers. SSM acknowledges Dr. Astero Provata for providing feedback, discussions on the manuscript and the School of Fundamental Sciences doctoral bursary funding during this research.

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Authors and Affiliations

  1. School of Fundamental Sciences, Massey University, Palmerston North, New Zealand

    H. O. Fatoyinbo & S. S. Muni

  2. Department of Mathematical Sciences, Federal University of Technology, Akure, Nigeria

    A. Abidemi

Authors
  1. H. O. Fatoyinbo
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  2. S. S. Muni
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  3. A. Abidemi
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Contributions

The presented idea was conceived by HOF. He wrote the MATCONT and XPPAUT codes. HOF and SSM carried out the numerical simulations and generated the figures. AA aided in the interpretation of the results. All authors jointly prepared the manuscript.

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Correspondence to H. O. Fatoyinbo.

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Fatoyinbo, H.O., Muni, S.S. & Abidemi, A. Influence of sodium inward current on the dynamical behaviour of modified Morris-Lecar model. Eur. Phys. J. B 95, 4 (2022). https://doi.org/10.1140/epjb/s10051-021-00269-7

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