Kinetic modeling of fluid and solute transport in peritoneal dialysis.

Mathematical models for fluid and solute transport during peritoneal dialysis are described. A model for the transport of the so-called volume marker enables the correct estimation of the kinetics of the intraperitoneal dialysate volume as well as the rate of peritoneal fluid absorption. On the basis of these estimations, the solute transport components (diffusion, convective solute transport with ultrafiltrate and peritoneal solute absorption) may be separated within the net solute transport using a modified version of the Babb-Randerson-Farrell (BRF) model. The diffusive mass transport coefficient and sieving coefficient are given by the model. A simplified method for the estimation of the diffusive mass transport coefficient during the so-called isovolemia period is also described and compared to the BRF modeling. The three-pore model and the distributed model, which describe the structure-function relationship for the peritoneum, are also addressed.