Studying the Dynamcis of Neuronal Membrane Using a Numerical Model

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Authors

  • Marina González Federal Institute of Education, Science and Technology — Campus São Paulo, São Paulo, Brazil Author
  • Marco Aurélio Santos Granero Federal Institute of Education, Science and Technology — Campus São Paulo, São Paulo, Brazil Author
  • Mariana Pelissari Monteiro Aguiar Baroni Federal Institute of Education, Science and Technology — Campus São Paulo, São Paulo, Brazil Author

DOI:

https://doi.org/10.5890/DNC.2017.06.006

Abstract

The Hodgkin and Huxley model describes the electrophysiology of the membrane of the giant squid’s axon. This model was developed from measurements of passive and active electrical behavior of the nerve cell. The four-coupled nonlinear ordinary differential equations, which describe the model, are based on the behavior of sodium and potassium channels. The aim of this work is to study the dynamic behavior of a neuronal physiological system described by the Hodgkin-Huxley (H-H) model through the analysis and interpretation of numerical simulations.

References

[1] Roque, Antonio. Introduction to ComputationalNeuroscience - Lesson 5 [internet]. [Accessed on November 17, 2015]. Available in: http://sisne.org/Disciplinas/PosGrad/IntrodNeuroComput/aula5.pdf.

[2] Hodgkin, A.L. and Huxley, A.F. (1952), A Quantitative Description of Membrane Current and Its Application to Conduction and Excitation in Nerve. Journal of Physiology, 117, 500-544.

[3] Toxic Proteins Llaboratory of UFRGS (Brazil)- LAPROTOX. [internet]. 2014[Accessed on March 19, 2016]. Available in: http://www.ufrgs.br/laprotox/o-que-fazemos/linhas-de-pesquisa/neurotoxicidade-de-ureases-epeptideos- derivados.

[4] Aidley, J. D. (1989), The Physiology of Excitable Cells. Cambridge University Press, 3rd ed., Cambridge.

[5] Kolb, B andWhishaw, I.Q. (2009), An Introduction To Brain and Behavior. 3rd Edition.

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PublishedJune 2017

Usage tracking begins September 1, 2026.

History Published

Issue

Vol. 6 No. 2 (2017): Regular Issue

Section

Research Articles

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Unless an article landing page states a Creative Commons or other article-specific license, the article is published by L&H Scientific Publishing, LLC and all rights are reserved. The article-level license and copyright notice govern access and reuse.

How to Cite

González, M., Granero, M. A. S., & Baroni, M. P. M. A. (2026). Studying the Dynamcis of Neuronal Membrane Using a Numerical Model. Discontinuity, Nonlinearity, and Complexity, 6(2), 185-189. https://doi.org/10.5890/DNC.2017.06.006

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