The application discloses a two-compartment modeling and prediction method for
sodium kinetics in
hemodialysis. The method divides the patient's
body fluid into two compartments of
extracellular fluid and
intracellular fluid, and establishes a coupled
differential equation set to describe the
sodium transfer
kinetics in the
dialysis process. The application corrects the physical error of the existing model in the dispersion equilibrium concentration formula, proposes C_eq=[Na]d / σ (σ=0.97 is the Gibbs-Donnan factor) to replace the traditional Donnan formula and the old recommended formula, eliminates the false dispersion gradient under the condition of isonatric
dialysis based on the physical fact that electrolytes are only distributed in the
plasma water phase, and removes the error
solvent drag term by clearly defining the biophysical constraints of the
cell membrane
aquaporin not transporting
sodium. The application adopts a perturbation
reference model to replace the traditional Fick
diffusion law to describe the
cell membrane sodium exchange, and more accurately reflects the
intracellular and
extracellular sodium
kinetics. The model can accurately predict the serum sodium change and sodium removal under different
dialysis prescriptions, and can generate a sodium removal contour map for clinical prescription optimization.