The present invention relates to a blood tube section for extracorporeally carrying blood during a blood treatment of a patient, wherein the blood tube section comprises at least one device for conveying blood, a drug solution or a liquid mixture within the blood tube section by deforming the tube diameter and sliding along an area of the blood tube section. The present invention further relates to an extracorporeal blood circuit, a treatment apparatus as well as methods for conveying blood, a drug solution or a liquid mixture and for supplying and/or administering and/or transporting an active substance.