  A mathematical model for fluid transport in peritoneal dialysis is
constructed. The model is based on a three-component nonlinear system of
two-dimensional partial differential equations for fluid, glucose and albumin
transport with the relevant boundary and initial conditions. Non-constant
steady-state solutions of the model are studied. The restrictions on the
parameters arising in the model are established with the aim to obtain exact
formulae for the non-constant steady-state solutions. As the result, the exact
formulae for the fluid fluxes from blood to tissue and across the tissue were
constructed together with two linear autonomous ODEs for glucose and albumin
concentrations. The analytical results were checked for their applicability for
the description of fluid-glucose-albumin transport during peritoneal dialysis.
