Related Experiment Video
Updated: Aug 16, 2026

Window on a Microworld: Simple Microfluidic Systems for Studying Microbial Transport in Porous Media
Published on: May 3, 2010
[Influence of transport parameters values on volume flows in the double-membrane system]
Andrzej Slezak1, Arkadiusz Bryll
1Zakład Biologii i Biofizyki Politechnika Czestochowska, Polska. ajslezak@zim.pcz.czest.pl
Abstract:
On the basis of Kedem-Katchalsky non-linear equations for the double-membrane system, research were carried out upon the influence of the transmembrane transport parameters, i.e. hydraulic permeability (Lp), reflection (sigma) and solute (omega) coefficients on the volume flows in the double-membrane system. The membrane system was composed of two membranes Ml and Mr characterized by coefficients, respectively Lpl, sigmal, omegal and Lp(r), sigmar, omegar, that separated the solutions at concentrations Cl, Cm, Cr. In order to show the influence of the membranes parameters values on the volume flow intensity, there were calculated the following dependencies: J(v sigma) = f omega(Lp)ii, Jv = f sigma(omega r)Lp,i), Jv = f sigma(sigma(omega r Lp,li), Jv = f sigma(sigma omega l Lp,ri) , (i = l, r), in conditions of set out mechanic pressure (Pl = Pr = Po = const.) and set concentrations (Cl = Cr = C = const.). The graphical pictures of the two first equations are hyperbolas and straight lines in particular cases, whereas the graphical pictures of further two dependencies are more complex.
Related Concept Videos
The Significance of Membrane Transport
Transporters facilitate either an active or passive movement of solutes. They can allow a single-molecule transport down its...
Facilitated Diffusion
In this process, substrates such as organic compounds and ions interact with a transporter on one side, triggering conformational changes in proteins that enable...
Facilitated Transport
Facilitated Transport
Reynolds Transport Theorem
Steady, Laminar Flow Between Parallel Plates

