Abstract: A dialysis apparatus utilizes an expansion chamber in parallel with a pump from which the chamber receives blood via a valve. During the return flow phase the pump rotates in the same direction; but, the valve is closed and a valve at the chamber outlet is opened. The pump draws blood from the chamber and transports it to a dialyzer. A control device regulates the pump and valves depending on the time integral of the pump delivery. In each phase, blood is transported until the chamber has received or discharged a predetermined volume. The pump speed is variable during operation.