LIF firing rate: r(I) = 1/(τ_ref + τ_m·ln((R·I)/(R·I − (V_th-V_rest)))) for suprathreshold

Closed-form firing rate of an LIF neuron under constant suprathreshold input current I > I_th = (V_th − V_rest)/R. Integrate τ_m·dV/dt = -(V − V_rest) + R·I with V(0) = V_rest (after reset): V(t) = V_rest + R·I·(1 − e^{-t/τ_m}). Setting…