Methods of manufacturing a medical component include additively manufacturing a medical component at least in part by successive, layer-by-layer, selective exposure and associated successive, layer-by-layer, selective solidification of construction material layers made of a construction material solidifiable with an energy beam. The medical component is insertable at least partially into a body of a living being, and the medical component includes a channel structure that has a tubular channel through which a medium and/or at least one functional element can be passed.