KandelLab

Principles of Neural Science, in Simulation

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§4 Leaky Integrate-and-Fire — Spiking Neuron Model

τ · dV/dt = -(V - EL) + R · I
When V ≥ Vthresh, a spike is emitted, V → Vreset, with refractory period tref

The LIF model is the simplest model of neuronal spike generation. The membrane potential decays exponentially toward the resting potential while external current drives depolarization. When the threshold is reached, a spike is emitted and the potential resets. The f-I curve can be solved analytically, and numerical simulations agree closely with the analytical result.

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Parameters

ms
nA