Integrate-and-Fire Models of Nerve Membrane Response to Oscillatory Input

Nerve membranes exhibit curious responses to alternating current stimulation, among which are phase locking, as well as responses without apparent periodic pattern. We investigate these phenomena by presenting a complete analysis of the response to periodic input of an integrate-and-fire model, which is a simplified version of the Hodgkin–Huxley theory for space clamped nerves.