A single pool mathematical model has been clinically tested and found to give values similar to those previously reported for volumes of distribution of creatinine and urea. 2. Calculated generation rates for creatinine and urea approximated values obtained by independent measurement of removal rate. 3. Preliminary observations suggest that the model may be empirically useful in predicting interdialytic serum creatinine urea concentrations. 4. The potential clinical usefulness of the mathematical model has been enhanced by development of a solution suitable for a programmable pocket calculator.