The FitzHugh-Nagumo model is a reduction of the Hodgkin-Huxley model that is e effectively a modifi cation of the Van der Pol Oscillator. The Hodgkin-Huxley model is a Nobel Prize-winning model described in 1952, developed to simulate the AP propagation in the squid giant axon by a system of four nonlinear ODEs that approximated the underlying ionic mechanisms.
Although containing only the potassium, sodium and leak currents, the Hodgkin-Huxley model was the fi rst electrophysiological model based on the underlying biological mechanisms (a biophysical model).
Almost every successful mathematical model of electrophysiology since has its roots in the Hodgkin-Huxley model, whether it be a biophysical 40+ dimensional cardiac myocyte model or a phenomenological reduction.
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