A cerebral degeneration that results in progressive degeneration of grey matter in the cerebrum and has_symptom convulsions. The disease is Alpers syndrome (Orphanet_726). Also known as: ALPERS PROGRESSIVE INFANTILE POLIODYSTROPHY, ALPERS-HUTTENLOCHER SYNDROME, Alper's syndrome, Alpers progressive sclerosing poliodystrophy, Alpers' disease or gray-matter degeneration, Alpers-Huttenlocher syndrome, Diffuse Cerebral Sclerosis of Schilder, MITOCHONDRIAL DNA DEPLETION SYNDROME 4A.