Type 2 diabetes (DM-2) increases the risk of developing Alzheimer´s disease (AD), and patients with AD are more likely to develop DM-2. DM-2 and AD share some pathophysiological features. In AD, amyloid-ß (Aß) is accumulated as extracellular plaques in the gray matter of the brain, while in DM-2 islet amyloid polypeptide (IAPP) is accumulated in the pancreas. Premature cellular degeneration is seen in both diseases. Glucagon-like peptide-1 (GLP-1) reduces the amount of Aß and improves cognition in animal studies. The present study tests the hypothesis that treatment with the long-acting GLP-1 receptor agonist liraglutide affects the accumulation of Aß in patients with AD.