title: [Network form of the Kedem-Katchalsky equations for ternary non-electrolyte solutions. 2. Evaluation of Lij Peusner's coefficients for polymeric membrane].
abstract: BACKGROUND
  Symmetrical or hybrid transformation of Kedem-Katchalsky membrane transport equations (K-K) can be performed using Peusner's network thermodynamics (PNT). For ternary and homogeneous solutions of non-electrolytes it result in two symmetrical and six hybrid network form of K-K equations. The symmetrical form of these equations contain Peusner's coefficients Rij or Lij, and hybrid form--Peusner's coefficients Hij, Nij, Kij, Pij, Sij or Wij.
  
  
  OBJECTIVE
  Derivation of network form of K-K equations for homogeneous ternary non-electrolyte solutions containing Peusner's coefficients Lij (i, j element of {1, 2, 3}) creating a the third- order matrix of Peusner's coefficients [L] and the calculation of the Peusner's coefficients Lij and comparison these coefficients with coefficient Rij presented in the first part of the paper (Polim. Med.).
  
  
  METHODS
  A cellulose acetate hemodialysis membrane (Nephrophan) with known parameters for the transport of aqueous solutions of glucose and ethanol was a research material. Our research method was the PNT formalism and K-K equation for ternary non-electrolyte solutions.
  
  
  RESULTS
  The network form of K-K equations for ternary solution consisting of solvent and two dissolved substances was obtained. Dependences of Peusner's coefficients Lij (i, j element of {1, 2, 3}) on the average concentration of one component of solution in the membrane (C1) with a constant value of second component (C1) were calculated in the conditions of solution homogeneity. These coefficients can be calculated on the basis of based on experimentally determined transport parameters i.e. the hydraulic permeability coefficients (Lp), solute permeability (omega) and reflection (sigma).
  
  
  CONCLUSIONS
  Network form of K-K equations containing Peusner's coefficients Lij (i, j element of {1, 2, 3}) can be used for examination of the membrane transport. The calculations showed that only coefficients L12, L22, L23 i L32 are sensitive to the concentration and composition of the solutions separated by the polymer membrane.
authors.affiliation: Katedra Informatyki Ekonomicznej, Uniwersytet Ekonomiczny, Katowice, Polska. kornelia.batko@ue.katowice.pl
authors.forename: Kornelia M
authors.initials: KM
authors.lastname: Batko
authors.forename: Izabella
authors.initials: I
authors.lastname: Slezak-Prochazka
authors.forename: Andrzej
authors.initials: A
authors.lastname: Slezak
mesh_terms: D002482:Cellulose / Q000031:analogs & derivatives / Q000737:chemistry; D000431:Ethanol / Q000737:chemistry; D005947:Glucose / Q000737:chemistry; D008567:Membranes, Artificial; D008956:Models, Chemical; D011108:Polymers / Q000737:chemistry*; D006435:Renal Dialysis / Q000295:instrumentation; D012996:Solutions / Q000737:chemistry*; D012997:Solvents / Q000737:chemistry; D013816:Thermodynamics; D014867:Water / Q000737:chemistry
chemical_list: D008567:Membranes, Artificial; D011108:Polymers; D012996:Solutions; D012997:Solvents; D014867:Water; C005062:acetylcellulose; D000431:Ethanol; D002482:Cellulose; D005947:Glucose