The glomerular barrier fits a two-pore-and-fiber-matrix model: Derivation and physiologic test

Microvascular Research

Volumn 57, Issue 3, 1999, Pages 227-243

  Katz, Murray A ^a,b   Schaeffer Jr , Richard C ^a,b   Gratrix, Max ^a   Mucha, David ^a   Cárbajal, José ^a  

^a SOUTHERN ARIZONA VA HEALTH CARE SYSTEM   (United States)

^b UNIVERSITY OF ARIZONA COLLEGE OF MEDICINE   (United States)

Author keywords

Fiber matrix; Glomerular modeling; Glomerular permeability; Macromolecular permeability; Proteinuria

Indexed keywords

ANIMAL EXPERIMENT; ANIMAL MODEL; ARTICLE; BASEMENT MEMBRANE; CHANNEL GATING; CONTROLLED STUDY; GLOMERULUS FILTRATION; GLOMERULUS FILTRATION RATE; GLYCOCALYX; MACROMOLECULE; MALE; MATHEMATICAL MODEL; NONHUMAN; PRIORITY JOURNAL; PROTEINURIA; RAT;

ANIMALIA; GLOMERULUS;

EID: 0032812176     PISSN: 00262862     EISSN: None     Source Type: Journal    
DOI: 10.1006/mvre.1999.2146     Document Type: Article

References (44)

1. Anderson J. L., Malone D. M. Mechanism of osmotic flow in porous membranes. Biophys. J. 14:1974;957-982.
2. Bresler E. H., Wendt R. P. Diffusive and convective flow across membranes: Irreversible thermodynamic approach. Science. 163:1969;944-945.
3. Chang R. L. S. A model to study the dynamics of glomerular ultrafiltration and glomerular capillary permselectivity characteristics. Microvasc. Res. 16:1978;141-150.
4. Chang R. L. S., Robertson C. R., Deen W. M., Brenner B. M. Permselectivity of the glomerular capillary wall to macromolecules. I. Theoretical considerations. Biophys. J. 15:1975a;861-886.
5. Chang R. L. S., Ueki I. F., Troy J. L., Deen W. M., Robertson C. R., Brenner B. M. Permselectivity of the glomerular capillary wall to macromolecules. II. Experimental studies in rats using neutral dextran. Biophys. J. 15:1975b;887-906.
6. Comper W. D., Williams P. W., Zamparo O. Water transport in extracellular matrices. Connect. Tissue Res. 25:1990;89-102.
7. Comper W. D., Glasgow E. F. Charge selectivity in kidney ultrafiltration. Kidney Int. 47:1995;1242-1251.
8. Curry F-R. E. Mechanisms and thermodynamics of transcapillary exchange. Handbook of Physiology. 1984;Am. Physiol. Soc. Bethesda. p. 309-374.
9. Daniels B. S., Deen W. M., Mayer G., Meyer T., Hostetter T. H. Glomerular permeability barrier in the rat. Functional assessment by in vitro methods. J. Clin. Invest. 92:1993;929-936.
10. Davies D. J., Brewer D. B., Hardwicke J. Urinary proteins and glomerular morphology in protein overload proteinuria. Lab. Invest. 38:1978;232-243.
11. Deen W. M., Robertson C. R., Brenner B. M. A model of glomerular ultrafiltration in the rat. Am. J. Physiol. 223:1972;1178-1183.
12. Deen W. M., Troy J. L., Robertson C. R., Brenner B. M. Dynamics of glomerular ultrafiltration in the rat. IV. Determination of the ultrafiltration coefficient. J. Clin. Invest. 52:1973;1500-1508.
13. Deen W. M., Bridges C. R., Brenner B. M., Myers B. D. Heteroporous model of glomerular size selectivity: Application to normal and nephrotic humans. Am. J. Physiol. 249:1985;F374-F389.
14. Draper N. R., Smith H. Applied Regression Analysis. 1981;Wiley, New York. p. 466-467.
15. Edwards A., Deen W. M., Daniels B. S. Hindered transport of macromolecules in isolated glomeruli. I. Diffusion across intact and cell-free capillaries. Biophys. J. 72:1997;204-213.
16. Farquhar M. G. Structure and function in glomerular capillaries: Role of the basement membrane in glomerular filtration. Kefalides N. A. Biology and Chemistry of Basement Membranes. 1982;43-80 Academic Press, New York.
17. Hertz G. Ein neues Verfahren zur Trennung von Gasgemischen durch Diffusion. Phys. Z. 23:1922;433-434.
18. Katchalsky A. Nonequilibrium thermodynamics. Int. Sci. Tech. 1963;43-49.
19. Katz M. A. Dependency of permeability-surface area product upon solute concentration, and its significance in the interpretation of lymph flux data. Microvasc. Res. 20:1980;212-222.
20. Katz M. A. Changes in transcapillary protein flux by permeative and convective mechanisms as functions of increasing transcapillary water flux. Microvasc. Res. 22:1981;271-295.
21. Katz M. A. Comparison of crosspoint and least squares regression methods in computation of membrane protein flux parameters from lymph flux analysis. Microvasc. Res. 30:1985;207-221.
22. Katz M. A., Bresler E. H. Osmosis. Staub N. C., Taylor A. E. Edema. 1984;39-60 Raven Press, New York.
23. Katz M. A., La Marche M. Fiber matrix descriptors from permeability data without requiring membrane thickness: Theory, results, and optimization. Microcirculation. 1:1994;111-119.
24. Katz M. A., La Marche M. Albumin reduces basement membrane hydraulic conductance in part due to arginyl side groups. Am. J. Physiol. 269:1995;H1514-H1521.
25. Katz M. A., La Marche M. Basement membrane (Matrigel) compresses greatly, even at low pressures. Microvasc. Res. 51:1996;121-125.
26. Katz M. A., Schaeffer R. C. Jr. Thermodynamic properties of the glomerular filtration barrier. Microcirculation. 4:1997a;150.
27. Katz M. A., Schaeffer R. C. Jr. The glomerular filtration barrier fits a two pore plus matrix barrier. FASEB J. 11:1997b;A40.
28. Lemley K. V. Glomerular size selectivity during protein overload in the rat. Am. J. Physiol. 264:1993;F1046-F1051.
29. Levick J. R. Flow through interstitium and other fibrous matrices. Q. J. Exp. Physiol. 72:1987;109-138.
30. Lippman R. W. Mechanism of proteinuria. Effect of parenteral bovine albumin injections on hemoglobin excretion in rats. Am. J. Physiol. 154:1948;532-536.
31. Ogston A. G. Methods of describing unidimensional diffusion in binary systems. Trans. Faraday Soc. 50:1954;1303-1311.
32. Ogston A. G., Michel C. C. General descriptions of passive transport of neutral solute and solvent through membranes. Progr. Biophys. Mol. Biol. 34:1978;197-217.
33. Ogston A. G., Preston B. N., Wells J. D. On the transport of compact particles through solutions of chain-polymers. Proc. R. Soc. London Ser. A. 333:1973;297-316.
34. Ogston A. G., Preston B. N. The molecular compression of dextran. Biophys. J. 183:1979;1-9.
35. Patlak C. S., Goldstein D. A., Hoffman J. F. The flow of solute and solvent across a two membrane system. J. Theor. Biol. 5:1963;426-442.
36. Prandtl L. Führer durch die Strömungslehre. 1960;Vieweg, Brunswick. p. 376.
37. Renkin E. Multiple pathways of capillary permeability. Circ. Res. 41:1977;735-743.
38. Russo P. A., Bendayan M. Distribution of endogenous albumin in the glomerular wall of proteinuric patients. Am. J. Pathol. 137:1990;1481-1490.
39. Schaeffer R. C. Jr., Renkiewicz R. R., Chilton S.-M., Marsh D., Carlson R. W. Preparation and high-performance size-exclusion chromatographic (HPSEC) analysis of fluorescein isothiocyanate-hydroxyethyl starch: Macromolecular probes of the blood-lymph barrier. Microvasc. Res. 32:1986;230-243.
40. Schaeffer R. C. Jr., Bitrick M. S., Holberg W. C. III, Katz M. A. Macromolecular transport across endothelial monolayers. Int. J. Microcirc. 11:1992;181-201.
41. Schnitzer J. E. Analysis of steric partition behavior of molecules in membranes using statistical physics: Application to gel chromatography and electrophoresis. Biophys. J. 54:1988;1065-1076.
42. Snell R. M., Stein B. Onsager reciprocal relations in complex membranes. J. Theor. Biol. 10:1966;177-183.
43. Spiegler K. S., Kedem O. Thermodynamics of hyperfiltration (reverse osmosis): Criteria for efficient membranes. Desalination. 1:1966;297-326.
44. Watson P., Wolf M. B. Transport parameter estimation from lymph measurements and the Patlak equation. Am. J. Physiol. 262:1992;H293-H298.