A mathematical model of peritoneal fluid absorption

water reabsorption from the peritoneal cavity into the surrounding tissue substantially decreases the net ultrafiltration in patients on peritoneal dialysis. The goal of this study was to propose a mathe-matical model based on data from clinical studies and animal exper-iments to describe the changes in absorption rate, interstitial hydro-static pressure, and tissue hydration caused by increased intraperito-neal pressure after the initiation of peritoneal dialysis. The model describes water transport through a deformable, porous tissue after infusion of isotonic solution into the peritoneal cavity. Blood capillary and lymphatic vessels are assumed to be uniformly distributed within the tissue. Starling’s law is applied for a description of fluid transport through the capillary wall, and the transport within the interstitium is modeled by Darcy’s law. Transport parameters such as interstitial fluid volume ratio, tissue hydraulic conductance, and lymphatic ab-sorption in the tissue are dependent on local interstitial pressure