Lumped-parameter model for haemodialyser with application to simulation of patient-artificial-kidney system

A simple lumped-parameter mathematical model is developed for analysing the performance of a haemodialyser. Analytical solutions are derived for the exit concentration of solute in blood leaving the haemodialyser. A method of ana priori estimation of the model parameters is suggested. The validity of the model is illustrated by comparing it with the numerical solution of more exact 2-dimensional models and some experimental data on commercial dialysers. The utility of the model is illustrated by an application to the simulation of a patient-artificial-kidney system, wherein compact analytical expressions are shown to describe the whole complex system