AI Article Synopsis
- A system of eight matrix equations for ternary non-electrolyte solutions utilizes Peusner's coefficients and is derived from K-K equations through PNT methods.
- The study aimed to calculate the concentration dependencies of the determinants of these coefficient matrices while using a specific hemodialysis membrane in glucose and ethanol solutions.
- Results indicate that the method for calculating these determinants is a novel approach for membrane transport studies, revealing that the coefficients respond significantly to the concentration and composition of the solutions in question.
Article 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).
Objectives: 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}).
Material And 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.
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Background: The network forms of Kedem-Katchalsky (K-K) equations for ternary non-electrolyte solutions may contain one of the eight Peusner's coefficients: R(ij), L(ij), H(ij), W(ij), N(ij), K(ij), S(ij) or P(ij) (i, J ∈ {1, 2, 3}). These coefficients form the third degree matrixes ofPeusner's coefficients [R], [L], [H], [W], [N], [K], [S] or [P].
Objectives: Calculation of dependencies of the Peusner's coefficients W(ij) (i, j ∈ {1, 2, 3}) and det [W], on the average concentration of one component in the membrane solution (C1) for several different values of the second component set (C2).
Article Synopsis
- A system of eight matrix equations for ternary non-electrolyte solutions utilizes Peusner's coefficients and is derived from K-K equations through PNT methods.
- The study aimed to calculate the concentration dependencies of the determinants of these coefficient matrices while using a specific hemodialysis membrane in glucose and ethanol solutions.
- Results indicate that the method for calculating these determinants is a novel approach for membrane transport studies, revealing that the coefficients respond significantly to the concentration and composition of the solutions in question.
[Network form of the Kedem-Katchalsky equations for ternary non-electrolyte solutions. 8. evaluation of Pij Peusner's coefficients for polymeric membrane].
Polim Med
September 2014
Katedra Zdrowia Publicznego, Politechnika Częstochowska, Częstochowa, Polska.
Article Synopsis
- Peusner's network of thermodynamics (PNT) provides new network forms of the Kedem-Katchalsky (K-K) equations for ternary non-electrolyte solutions, which include various symmetric and hybrid forms with specific Peusner's coefficients.
- The study aims to calculate and compare concentration dependencies of different Peusner's coefficients (Pij and Sij) using a specialized polymeric hemodialysis membrane in glucose-ethanol solutions.
- Results indicate that these Pij coefficients are notably affected by the concentration and makeup of the solutions, highlighting their potential utility in membrane transport studies.
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