Kyra Lee

Award Category

Natural Sciences and Mathematics

Publication Date



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.

Faculty Advisor

Jake Price


MATH 301: Differential Equations