In vitro and in vivo work has been carried out examining a modular single-needle system for fistula haemodialysis. Ultrafiltration characteristics of the single-needle system are defined and conclusions upon flow patterns are reached. Applying the mean blood pressure formula to the extracorporeal system pressures, the transmembrane pressure can be calculated and the ultrafiltration rate forecast. High transmembrane pressures can be modified, with sacrifice of blood flow, by amendment of the blood flow phase durations.