This paper develops and tests a mathematical model for Na+ kinetics ap
plied to standard hemodialysis. The volume of distribution of exchange
able Na+, dialyzer surface area, blood and dialysis fluid flow rate, t
arget weight loss, treatment duration and the Na+ diffusibility consta
nt are taken into account. The model is used to compute the optimal ho
ur by hour dialysis fluid Na+ concentration required to achieve the pr
escribed end-dialysis natremia and maintain a constant end-dialysis bo
dy Na+ pool, while providing a nearly uniform removal of Na+ over dial
ysis. The model was preliminarily tested on 10 consecutive dialyses in
a single patient using a special dialyzer which generates a part of u
ltrafiltrate uncontaminated by dialysate.