The present invention relates to the use of a series of sulphated disaccharides for the preparation of a medicament for the treatment or prevention of a neurodegenerative and/or neurovascular disease, of a traumatic brain injury or of a traumatic spinal cord injury. The present invention also relates to the use of said sulphated disaccharides for the preparation of a neuroprotective medicament or of an antioxidant medicament. The neurodegenerative and/or neurovascular diseases are preferably: Alzheimers disease, Parkinsons disease, amyotrophic lateral sclerosis and stroke.