Award Category
Natural Sciences and Mathematics
Publication Date
1-2024
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.
Faculty Advisor
Jake Price
Course
MATH 301: Differential Equations
COinS