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A mathematical model of fluids and solutes kinetics in hemodialysis is presented and its ability in providing realistic responses is evaluated. The model includes a bi compart mental description of urea, sodium, potassium kinetics and an algebraic characterization of the mass-transfer in the dialyzer. The corresponding non-linear system of eight first order differential equations has been implemented in SIMULINK™, an advanced simulation tool which facilitates model definition and analysis. Simulation results compare well with experimental data on water loss and blood urea, sodium and potassium concentrations measured during biofiltration. In addition, the predictions on the non directly measurable variables facilitate the interpretation of the physiopathological mechanisms underlying dialysis therapy.
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Grandi et al. (1970) studied this question.
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