title: Transport of non-electrolyte solutions through membrane with concentration polarization.
abstract: Mathematical model of the volume fluxes through neutral membrane with concentration boundary layers on both sides of this membrane is presented. This model, based on the Kedem-Katchalsky equations, describes the volume flux generated by osmotic and hydrostatic forces for non-homogeneous and non-electrolyte solutions. Nonlinear equation for volume flux was used for numerical calculation in linear regime of hydrodynamic stability. In the steady state of non-homogeneous solutions the dependence of volume flux on pressure difference is shifted with regard to this dependence for homogeneous solution, while the volume flux as a function of osmotic pressure between chambers is characterized by different angle of inclination for homogeneous and non-homogeneous solutions.
authors.affiliation: Department of Biophysics, Silesia Medical University, H. Jordan Str. 19, 41 808 Zabrze, Poland. grzegorczyn@sum.edu.pl
authors.forename: Sławomir
authors.initials: S
authors.lastname: Grzegorczyn
authors.forename: Jolanta
authors.initials: J
authors.lastname: Jasik-Slezak
authors.forename: Katarzyna
authors.initials: K
authors.lastname: Michalska-Małecka
authors.forename: Andrzej
authors.initials: A
authors.lastname: Slezak
mesh_terms: D001692:Biological Transport; D008566:Membranes; D008954:Models, Biological; D009997:Osmotic Pressure; D012996:Solutions
chemical_list: D012996:Solutions