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# FitzHugh-Nagumo

## Circuit equation

\[ \begin{align} C\frac{dv}{dt} &= I_{app} - I_{passive} - I_{fast} - I_{slow} \\ \frac{dv_{slow}}{dt} &= \frac{v - v_{slow}}{\tau_{slow}} \\ \frac{dI_{app}}{dt} &= -\frac{I_{app}}{\tau_{syn}} \end{align} \]

where the currents are: - \(I_{passive} = g_{max}(v - E_{rev})\) - \(I_{fast} = a_{fast} \tanh(v - v_{off,fast})\) - \(I_{slow} = a_{slow} \tanh(v_{slow} - v_{off,slow})\)

## Examples

See the following interactive notebook for a practical example:

- Basic Usage Example - Introduction to the FitzHugh-Nagumo model