title: [Network form of the Kedem-Katchalsky equations for ternary non-electrolyte solutions 7. Evaluation of Sij Peusner's coefficients for polymeric membrane].
abstract: BACKGROUND
  Peusner's network thermodynamics (PNT) allows symmetrical and/or hybrid transformation of Kedem-Katchalsky (K-K) equations to network form. For homogenous solutions that consist of solvent and two soluble nonelec-metrolyte substances, there are two symmetrical and six hybrid forms of network K-K equations that contain symmetrical (Rij or Lij) or hybrid (Hij, Wij, Sij, Nij, Kij or Pij) Peusner coefficients.
  
  
  OBJECTIVE
  The aim of this study is to introduce the hybrid form of network K-K equations that include tensor Peusner coefficients Sij (i, j ∈ {1, 2, 3}) for homogenous ternary solutions of nonelectrolytes and to calculate dependences of coefficients Sij on mean concentration of one solution component (C1) when the concentration of the other one is constant (C2).
  
  
  METHODS
  The authors used celulose Nephrophan membrane of known transport parameters for aqueous glucose and ethanol solutions as a study material. The authors applied PNT formalism and K-K equations for ternary nonelectrotyle solutions as a study method.
  
  
  RESULTS
  Hybrid network form of K-K equations was obtained for solutions that consist of a solvent and two dissolved non-electrolyte substances. Dependences of coefficients Sij (i, j ∈ {1, 2, 3}) on mean concentration of one solution component (C1) when the concentration of the other one is constant C2, were calculated for conditions of homogeneity of solutions. These calculations were done using experimentally determined coefficients of reflection (σ), hydraulic (Lp) and solute permeability (ω).
  
  
  CONCLUSIONS
  Network form of K-K equations that include Peusner coefficients Sij (i, j ∈ {1, 2, 3}) constitutes a novel research tool to study membrane transport. We showed that coefficients S11, S12, S13, S21, S22, S23, S31, S32 and S33 were sensitive to alterations in concentration and composition of solutions separated by a polymer membrane.
authors.affiliation: Katedra Informatyki Ekonomicznej, Uniwersytet Ekonomiczny w Katowicach, Katowice, Polska.
authors.forename: Kornelia M
authors.initials: KM
authors.lastname: Batko
authors.affiliation: Instytut Marketingu, Politechnika Częstochowska, Częstochowa, Polska.
authors.forename: Izabella
authors.initials: I
authors.lastname: Ślęzak-Prochazka
authors.affiliation: Katedra Zdrowia Publicznego, Politechnika Częstochowska, Częstochowa, Polska.
authors.forename: Andrzej
authors.initials: A
authors.lastname: Ślęzak
mesh_terms: D002482:Cellulose / Q000737:chemistry; D004573:Electrolytes / Q000737:chemistry; D000431:Ethanol / Q000737:chemistry; D005947:Glucose / Q000737:chemistry; D008567:Membranes, Artificial; D008956:Models, Chemical; D010539:Permeability; D011108:Polymers / Q000737:chemistry*; D012996:Solutions / Q000737:chemistry*; D013816:Thermodynamics; D014867:Water / Q000737:chemistry
chemical_list: D004573:Electrolytes; D008567:Membranes, Artificial; D011108:Polymers; D012996:Solutions; D014867:Water; D000431:Ethanol; D002482:Cellulose; D005947:Glucose