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  • Title: [Network form of the Kedem-Katchalsky equations for ternary non-electrolyte solutions. 3. Evaluation of Hij Peusner's coefficients for polymeric membrane].
    Author: Batko KM, Slezak-Prochazka I, Slezak A.
    Journal: Polim Med; 2013; 43(2):111-8. PubMed ID: 24044291.
    Abstract:
    INTRODUCTION: Using symmetrical or hybrid transformation Kedem-Katchalsky membrane transport equations (K-K) for ternary solutions can be transformed to symmetrical (Rij lub Lij) or hybrid (contain coefficients Hij, Wij, Sij, Nij, Kij or Pij) network form. PURPOSE: Derivation of network form of K-K equations for homogeneous ternary non-electrolyte solutions containing Peusner's coefficients Hij (i, j element of {1, 2, 3}) and calculation of these coefficients for solutions consisting of solvent and two dissolved substances. Moreover comparison of these coefficients with coefficients Rij and Lij presented in the first and second part of the paper (Polim. Med.) was shown. Coefficients Hij (i, j element of {1, 2, 3}) can be calculated on the basis of experimentally determined transport parameters i.e. the hydraulic permeability coefficients (Lp), solute permeability (omega) and reflection (sigma). MATERIALS AND METHODS: The research material was the membrane (Nephrophan) with known parameters for the transport of aqueous solutions of glucose and ethanol and the research tool was the formalism of Peusner's network thermodynamics (PNT) and K-K equation for ternary non-electrolyte solutions. RESULTS: Using the hybrid transformation of the Peusner's thermodynamic networks, the network form of K-K equations for ternary solution consisting of solvent and two dissolved substances was presented. Dependences of Peusner's coefficients Hij (i, j element of {1, 2, 3}) in the conditions of solutions homogeneity from the average concentration of one component of solution in the membrane (C1) with a constant value of second component (C2). CONCLUSION: Analysis of Peusner's coefficients Hij (i, j element of {1, 2, 3}) is a new tool, which can be used for examination of the membrane transport. The calculations proved, that the values of coefficients H12, H21, H22 and H32 are sensitive to the concentration and composition of the non-electrolyte solutions separated by the polymer membrane.
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