CADASIL is an abbreviation for a long name describing a rare hereditary form of stroke (Cerebral Autosomal Dominant Arteriopathy with Subcortical Infarcts and Leukoencephalopathy). The disease usually presents with multiple small strokes, but migraine can also be a prominent feature. CADASIL is a genetic condition caused by a small abnormality (mutation) in a gene called NOTCH3.