# Cardiac Cell

FitzHugh-Nagumo (FHN) model (FitzHugh, 1961), is a generic model for excitable media of cardiac cells, and can be applied to a variety of systems. FitzHugh referred to his simplified model as the Bon Hoeffer-van der Pol model and derived it as a simplification of the Hodgkin-Huxley equations.

## Dynamics

The cardiac cell is stimulated by an input pulse “stim”, the number of discrete time modes are decided by the different values of stim.

$$\left \{ \begin{array}{l} \dot u = -0.9 u^2-u^3-0.9 u-v + stim \\ \dot v = u – 2v \end{array} \right.$$

## Properties

Please see details in the attached file

## Reachtube generated by C2E2

Link to the example file: Cardiac_control