The Fitzhugh-Nagumo model of the nerve cell.

x' = c(y + x - x3/3)

y' = -( (x - a + by) / c )
The Fitzhugh-Nagumo model is a two dimensional model where x(t) is the electrical potential or voltage across the nerve cell membrane, and y(t) is the current through the membrane. The constants a, b and c are all positive. ( And it's our understanding after a few informal conversations with a biology major that different values of the constants probably represent the different types of nerve cells found in the body ) . It should be noted that a valid attempt to find the interpretation of these parameters was made. But unfortunately without success.

[ Introduction | Analysis | Conclusions ]

Mike Willock
Richard Demar