Understanding Neuron Dynamics With the FitzHugh-Nagumo Model

Abstract

Nerve pulses are caused by flows of sodium and potassium through the membrane of a neuron axon. This phenomena can be modelled by the Hodgkin-Huxley model, but the equations of this model are quite difficult to solve. The Fitzhugh-Nagumo model is a simplification of the Hodgkin-Huxley model. In this paper, I provide a complete mathematical construction for a set of differential equations that govern the physics of neural activity. This system of equations is based on the 2D FitzHugh-Nagumo (FN) model

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This paper was published in Sound Ideas.

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