A mathematical model for fluid-glucose-albumin transport in peritoneal dialysis
Roman Cherniha, Joanna Stachowska-Piętka, Jacek Waniewski (2014)
International Journal of Applied Mathematics and Computer Science
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A mathematical model for fluid and solute transport in peritoneal dialysis is constructed. The model is based on a threecomponent nonlinear system of two-dimensional partial differential equations for fluid, glucose and albumin transport with the relevant boundary and initial conditions. Our aim is to model ultrafiltration of water combined with inflow of glucose to the tissue and removal of albumin from the body during dialysis, by finding the spatial distributions of glucose and albumin...