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1 Department of Chemical Engineering, Tufts University, Medford, Massachusetts 02155; 2 Department of Medicine, University of Minnesota, Minneapolis, Minnesota 55455; and 3 Department of Chemical Engineering and Division of Bioengineering and Environmental Health, Massachusetts Institute of Technology, Cambridge, Massachusetts 02139
A theoretical model was developed to relate the
size selectivity of the glomerular barrier to the
structural characteristics of the individual layers of the capillary
wall. Thicknesses and other linear dimensions were evaluated, where
possible, from previous electron microscopic studies. The glomerular
basement membrane (GBM) was represented as a homogeneous material
characterized by a Darcy permeability and by size-dependent hindrance
coefficients for diffusion and convection, respectively; those
coefficients were estimated from recent data obtained with isolated rat
GBM. The filtration slit diaphragm was modeled as a single row of
cylindrical fibers of equal radius but nonuniform spacing. The
resistances of the remainder of the slit channel, and of the
endothelial fenestrae, to macromolecule movement were calculated to be
negligible. The slit diaphragm was found to be the most restrictive
part of the barrier. Because of that, macromolecule concentrations in
the GBM increased, rather than decreased, in the direction of flow. Thus the overall sieving coefficient (ratio of Bowman's space concentration to that in plasma) was predicted to be larger for the
intact capillary wall than for a hypothetical structure with no GBM. In
other words, because the slit diaphragm and GBM do not act
independently, the overall sieving coefficient is not simply the
product of those for GBM alone and the slit diaphragm alone. Whereas
the calculated sieving coefficients were sensitive to the structural
features of the slit diaphragm and to the GBM hindrance coefficients,
variations in GBM thickness or filtration slit frequency were predicted
to have little effect. The ability of the ultrastructural model to
represent fractional clearance data in vivo was at least equal to that
of conventional pore models with the same number of adjustable
parameters. The main strength of the present approach, however, is that
it provides a framework for relating structural findings to the size
selectivity of the glomerular barrier.
sieving coefficient; Ficoll; glomerular basement membrane
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