In this program, we are using a 5th order FitzHugh-Nagumo model which follows the governing equations below.
\[ \frac{\partial v}{\partial t} = D\nabla^2v - v(v-x_1)(v+x_1)(v-ax_1)(v+ax_1)-w \] \[ \frac{\partial w}{\partial t} = (bv-dw-\delta)/d \]
where $v$ and $w$ are the state variables, and the rest of the variables determine the dynamics of the system and are determined through the graphical user interface.
The first canvas shows the colorplot of the $v$ variable over the domain while the next canvas shows the nullclines and the trajectory of a single cell for 3 seconds starting from the click values set through the graphical user interface.
You can click on the nullcline plot to choose the initial conidtion. Using the same initial condition, you can also click on the color plot to purturb the solution and see the effects. Throught the graphical interface, you can choose whether you intend to purturb both $v$ and $w$ variable or just one of them.
Programmed by: Abouzar Kaboudian
email: abouzar@gatech.edu