{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,21]],"date-time":"2026-07-21T06:48:51Z","timestamp":1784616531252,"version":"3.55.0"},"reference-count":31,"publisher":"ASME International","issue":"4","content-domain":{"domain":["asmedigitalcollection.asme.org"],"crossmark-restriction":true},"short-container-title":[],"published-print":{"date-parts":[[1995,11,1]]},"abstract":"<jats:p>The slit diaphragms of renal glomerular capillaries form an ultrafiltration barrier which may be approximated as a row of cylindrical fibers of macromolecular dimensions. To describe the hindered transport of plasma proteins and other macromolecules through this barrier, we developed an approximate hydrodynamic model for spherical, Brownian particles passing through a row of infinitely long cylinders. The selectivity of the slit diaphragm was assessed by computing concentration profiles for a wide range of molecular sizes for Pe \u2264 1, where Pe is a Peclet number based on the cylinder radius. The sieving coefficient for the slit diaphragm was computed as \u03b8SD = CB\/CO, where CO was the average concentration at a specified distance upstream from the cylinders (corresponding to the location of the basement membrane), and CB was the concentration far downstream (corresponding to Bowman\u2019s space). The results of previous experimental sieving studies using rats could be accounted for approximately by postulating a wide distribution of spacings between the fibers of the slit diaphragm. Comparing the results for \u03b8SD with calculations for a model of the glomerular basement membrane suggests that the slit diaphragm is by far the more size-restrictive part of the overall barrier.<\/jats:p>","DOI":"10.1115\/1.2794202","type":"journal-article","created":{"date-parts":[[2008,2,20]],"date-time":"2008-02-20T22:24:38Z","timestamp":1203546278000},"page":"414-422","update-policy":"https:\/\/doi.org\/10.1115\/crossmarkpolicy-asme","source":"Crossref","is-referenced-by-count":19,"title":["Hindered Transport of Macromolecules Through a Single Row of Cylinders: Application to Glomerular Filtration"],"prefix":"10.1115","volume":"117","author":[{"given":"M. C.","family":"Drumond","sequence":"first","affiliation":[{"name":"Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139"}],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"W. M.","family":"Deen","sequence":"additional","affiliation":[{"name":"Department of Chemical Engineering, Massachusetts Institute of Technology, Cambridge, MA 02139"}],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"33","published-online":{"date-parts":[[1995,11,1]]},"reference":[{"key":"2019100604481524300_r1","doi-asserted-by":"crossref","unstructured":"Abrahamson D. R. , 1987, \u201cStructure and Development of the Glomerular Capillary Wall and Basement Membrane,\u201d Am. J. Physiol, Vol. 253 (Renal Fluid Electrolyte Physiol. 22), pp. F783\u2013F794F783\u2013F794.","DOI":"10.1152\/ajprenal.1987.253.5.F783"},{"key":"2019100604481524300_r2","doi-asserted-by":"crossref","unstructured":"Cox R. G. , and BrennerH., 1967, \u201cThe Slow Motion of a Sphere Through a Viscous Fluid Toward a Plane Surface\u2014II. Small Gap Widths, Including Inertial Effects,\u201d Chem. Eng. 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