Figure 1

Schematic diagram of the mathematical model for a patient with the blood purification system. There are two compartments for solute kinetics and three compartments for fluid dynamics inside body. (------), solute transfer; (----), fluid transfer; ic, intracellular; is, interstitial; pl, plasma;ex, extracellular; b, blood; d, dialysate; η _s , mass transfer coefficient of solute s between the intracellular and extracellular compartments; β _s , equilibrium ratio of solute s; V, compartment volume; M _s , mass of the solute s; Q _inf , flow rate of replacement fluid; J _s , removal rate of solute s across the dialyser; R _v , fluid reabsorption rate at the venous capillaries; F _a , fluid filtration rate at the arterial capillaries; k _f , osmotic filtration coefficient at the cellular membrane; Q, extracorporeal flow rate; in, inlet; out, outlet. Modified from Ursino et al. [6] and Depner and Garred [2].