Model equations for interactions of hydrated species in transmembrane transport Original Research Article

The relationship between friction coefficients and hydration numbers of permeating solutes through membranes is presented in the framework of generalised Spiegler-Kedem-Katchalsky frictional model equations (SKK model). The membrane system contained multicomponent, non-ionic and homogeneous hydrated solutions. In the framework of this model the expressions linking the permeability parameters of the membrane (Lp, σ, ωik) with the friction coefficients (fik) for n-component non-ionic hydrated solutions were presented. The matrix of transformation from phenomenological onto frictional coefficients was worked out. Moreover, the method of calculation of the frictional and phenomenological coefficients change with the hydration number of solutes for binary and ternary non-ionic solutions was also presented. The friction coefficients and their dependencies on hydration number of glucose for aqueous glucose solution (binary solution) and glucose solution in aqueous ethanol solution (ternary solution), permeating through flat polymer membranes are also presented.