Prof. Mucke has been a lecturer in the clinic and polyclinic for palliative medicine at the University Hospital in Bonn and has taught at the institute for family medicine there. In addition to general practitioner care, Prof. Mücke has focused on the treatment of patients with rare diseases and patients without a diagnosis in recent years. From 2018 to 2021 he was head of the Rare Diseases department and spokesman for the Center for Rare Diseases at the University Hospital Bonn.