https://doi.org/10.1140/epjp/s13360-023-04822-4
Regular Article
Reshaping of breathing pulses to action potential profile propagating in an electromechanical coupled model for biomembranes and nerves
1
Laboratory of Mechanics, Materials and Structures, Research and Postgraduate Training Unit for Physics and Applications, Department of Physics, Faculty of Science, Postgraduate School of Science, Technology and Geosciences, University of Yaoundé 1, P.O. Box 812, Ngoa Ekelle, Yaoundé, Cameroon
2
Complex Systems and Theoretical Biology Group, Laboratory of Research on Advanced Materials and Nonlinear Science (LaRAMaNS), Department of Physics, Faculty of Science, University of Buea, P. O. Box 63, Buea, Cameroon
Received:
9
August
2023
Accepted:
20
December
2023
Published online:
17
January
2024
The problem of understanding the neurons function and thereby the brain has been the nexus of research during the last decades, in the fields of medicine and physical neuroscience. In the existing experimental studies, it is shown that the nerve impulse is an electromechanical signal which forces the membrane through the transition while propagating. In this work, we study localized nonlinear excitations in an electromechanical coupled model for biomembranes and nerves. We thus report on the presence of envelope solitons of the nerve impulse in this electromechanical coupled model. More importantly, we reshaped the obtained envelope solitons (breathing pulses) to action potential profile from direct numerical simulation of the coupled model. The numerical results shows a clear concordance with the analytical predictions. The theoretical results obtained in this work shows that the nerve impulse propagating through the proposed model is an electromechanical impulse that propagates along the nerve using spatial and temporal dimensions in the form of localized propagating nonlinear waves as predicted by experimental studies existing in the literature.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
