Optimizing sodium balance in hemodialysis

this paper develops and tests a mathematical model for Na+ kinetics applied to standard hemodialysis. The volume of distribution of exchangeable Na+, dialyzer surface area, blood and dialysis fluid flow rate, target weight loss, treatment duration and the Na+ diffusibility constant are taken into account. The model is used to compute the optimal hour by hour dialysis fluid Na+ concentration required to achieve the prescribed end-dialysis natremia and maintain a constant end-dialysis body Na+ pool, while providing a nearly uniform removal of Na+ over dialysis. The model was preliminary tested on 10 consecutive dialyses in a single patient using special dialyzer which generates a part of ultrafiltrate uncontaminated by dialysate.