title: [Evaluation of the Peusner's coefficients matrix for polymeric membrane and ternary non-electrolyte solutions].
abstract: BACKGROUND
  A system of network forms of Kedem-Katchalsky (K-K) equations for ternary non-electrolyte solutions is made of eight matrix equations containing Peusner's coefficients R(ij), L(ij), H(ij), W(ij), K(ij), N(ij), S(ij) or P(ij) (i, j ∈ {1, 2, 3}). The equations are the result of symmetric or hybrid transformation of the classic form of K-K equations by the use of methods of Peusner's network thermodynamics (PNT).
  
  
  OBJECTIVE
  Calculating concentration dependences of the determinant of Peusner's coefficients matrixes R(ij), L(ij), H(ij), W(ij), S(ij), N(ij), K(ij) and P(ij) (i, j ∈ {1, 2, 3}).
  
  
  METHODS
  The material used in the experiment was a hemodialysis Nephrophan membrane with specified transport properties (L(p), σ, Ω) in aqueous glucose and ethanol solution. The method involved equations for determinants of the matrixes coefficients R(ij), L(ij), H(ij), W(ij), S(ij), N(ij), K(ij) or P(ij) (i, j ∈ {1, 2, 3}).
  
  
  RESULTS
  The objective of calculations were dependences of determinants of Peusner's coeffcients matrixes R(ij), L(ij), H(ij), W(ij), S(ij), N(ij), K(ij) or P(ij) (i, j ∈ {1, 2, 3}) within the conditions of solution homogeneity upon an average concentration of one component of solution in the membrane (C1) with a determined value of the second component (C2).
  
  
  CONCLUSIONS
  The method of calculating the determinants of Peusner's coeffcients matrixes R(ij), L(ij), H(ij), W(ij), S(ij), N(ij), K(ij) or P(ij) (i, j ∈ {1, 2, 3}) is a new tool that may be applicable in studies on membrane transport. Calculations showed that the coefficients are sensitive to concentration and composition of solutions separated by a polymeric membrane.
authors.forename: Jolanta
authors.initials: J
authors.lastname: Jasik-Slęzak
authors.forename: Izabella
authors.initials: I
authors.lastname: Slęzak-Prochazka
authors.forename: Andrzej
authors.initials: A
authors.lastname: Slęzak
mesh_terms: D004058:Diffusion; D005079:Excipients; D008567:Membranes, Artificial; D008956:Models, Chemical; D009997:Osmotic Pressure; D010539:Permeability; D011108:Polymers / Q000737:chemistry*; D012996:Solutions / Q000737:chemistry*; D013816:Thermodynamics
chemical_list: D005079:Excipients; D008567:Membranes, Artificial; D011108:Polymers; D012996:Solutions