Neuromagnetic signals consistent with spreading cortical depression have been observed in 9 of 12 migraine patients studied, but not in normal controls (out of 8 studied) or in patients with non-migrainous headache (4 studied). These signals consist of large amplitude, usually biphasic waveforms presumably arising from the onset or offset of spreading cortical depression in a sulcus, and prolonged attenuation of magnetic amplitudes, associated with suppressed neuronal activity. Techniques are described which recognize various kinds of artefacts and which distinguish changes in state of arousal of the patient from the presumed spreading cortical depression signals.