Initial commit

Co-authored-by: Aradhana Dube <a.dube@rug.nl>
Co-authored-by: Renzo I. Barraza Altamirano <r.i.barraza.altamirano@rug.nl>
Co-authored-by: Paolo Gibertini <p.gibertini@rug.nl>
Co-authored-by: Luca D. Fehlings <l.d.fehlings@rug.nl>
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2026-02-26 18:30:32 +01:00
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# Circuit implementing the fhn neuron.
- The circuits in the schematics implement the FHN neuron described.
- The FHN neuron is an implementation of the circuit described in (Ribar, L. (2019). Synthesis of neuromorphic circuits with neuromodulatory properties [Apollo - University of Cambridge Repository]. https://doi.org/10.17863/CAM.53750). The OTA and CMFB are well known designs that can be found in textbooks.

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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](fhn.ipynb) - Introduction to the FitzHugh-Nagumo model