Measurement of the permeability of biological membranes. Application to the glomerular wall

• Published in: The Journal of general physiology Vol. 62; no. 4; pp. 489 - 507
• Main Authors: Verniory, A, Du Bois, R, Decoodt, P, Gassee, J P, Lambert, P P
• Format: Journal Article
• Language: English
• Published: United States The Rockefeller University Press 01-10-1973
• Subjects: Biological Transport; Glomerular Filtration Rate; Kidney Glomerulus - physiology; Mathematics; Membranes; Models, Biological; Permeability
• ISSN: 0022-1295; 1540-7748
• DOI: 10.1085/jgp.62.4.489

The transport equation describing the flow of solute across a membrane has been modified on the basis of theoretical studies calculating the drag of a sphere moving in a viscous liquid undergoing Poiseuille flow inside a cylinder. It is shown that different frictional resistance terms should be introduced to calculate the contributions of diffusion and convection. New sieving equations are derived to calculate r and A(p)/Deltax (respectively, the pore radius and the total area of the pores per unit of path length). These equations provide a better agreement than the older formulas between the calculated and the experimental glomerular sieving coefficients for [(125)I]polyvinylpyrrolidone (PVP) fractions with a mean equivalent radius between 19 and 37 A. From r and A(p)/Deltax, the mean effective glomerular filtration pressure has been calculated, applying Poiseuille's law. A value of 15.4 mm Hg has been derived from the mean sieving curve obtained from 23 experiments performed on normal anesthetized dogs.