FitzHugh-Nagumo: Excitable Pulse Propagation (v2)

1D reaction-diffusion model of nerve impulse propagation — excitation, refractory period, recovery

Parameters

FitzHugh (1961), Nagumo (1962):
u_t = D∇²u + u(1−u)(u−a) − v
v_t = ε(u − γv − β)
u = membrane voltage, v = recovery. Pulse propagation requires D>0; wave speed c∝√(Du·ε).
Pulses: 0