Abstract
This article first reviews the basic concepts of the Hodgkin-Huxley model of nerve signal propagation. Recent experiments show fluctuations which call for introducing randomness into the model’s equations. Some simulations which reproduce the observed behavior are presented.
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A L Hodgkin and A Huxley, A quantitative description of membrane current and its application to conduction and excitation in nerve, J. Physiol., 1952.
Jane Cronin, Mathematical Aspects of Hodgkin-Huxley Model, Cambridge University Press, June 2008.
Zachary F Mainen and Terrence J Sejnowski, Reliability of spike timing in neocortical neurons, Science, New Series, Vol.268, No.5216, June 1995.
Ronald F Fox, Stochastic Versions of the Hodgkin-Huxley Equations, Biophysical Journal, Vol.72, May 1997.
James Kenyon, How to Solve and Program the Hodgkin-Huxley Equations, Department of Physiology and Cell Biology
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Shruti Paranjape is a fourth year student at IISER Pune, majoring in Physics. This is an article based on what she worked on in the summer of 2013 under the guidance of Vivek S Borkar in IIT Mumbai.
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Paranjape, S. Noisy neurons. Reson 20, 34–43 (2015). https://doi.org/10.1007/s12045-015-0150-2
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DOI: https://doi.org/10.1007/s12045-015-0150-2