Abstract: A peristaltic pump, which provides a relatively rigid tubular body (2); a contained substantially tubular elastic element (1), with an outside diameter less than the inside diameter of the body and statically sealed to the ends of the body (2), and a mechanism which may consist wholly of rigid members for intermittently expanding the entire periphery of radial sections of the element up to the whole of the inside diameter of the body in axial sequence between two ports (4) therein. A torus-like pumping chamber (3), fully sealed in all three dimensions, is thus created, which, in operation, progresses axially between the ports, transporting fluid trapped within it from one to the other.