A disposable pump element has at least one first part, in which channel structures are recessed in the surface, and a second part sealingly covering the first part. A larger portion of the first part is applied to a rigid carrier structure. The first part has at least one flexible region, and at the flexible region thereof, the first part is not applied to the rigid carrier structure. A system for pumping, and a method for pumping a liquid, both employ the disposable pump element.
