Specific Hydraulic Conductivity of Corneal Stroma as Seen by Quick-Freeze/Deep-Etch

[+] Author and Article Information
Darryl Overby, Jeffrey Ruberti, Mark Johnson

MIT, Cambridge, MA 02138

Haiyan Gong, Thomas F. Freddo

Boston University School of Medicine, Boston, MA 02215

J Biomech Eng 123(2), 154-161 (Oct 01, 2000) (8 pages) doi:10.1115/1.1351888 History: Received January 01, 2000; Revised October 01, 2000
Copyright © 2001 by ASME
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Knight,  A. D., and Levick,  J. R., 1985, “Effect of Fluid Pressure on the Hydraulic Conductance of Interstitium and Fenestrated Endothelium in the Rabbit Knee,” J. Physiol. (London), 360, pp. 311–332.
Urban,  J. P. G., and Maroudas,  A., 1980, “The Chemistry of the Intervertebral in Relation to its Physiological Function and Requirements,” Clin. Rheum. Dis., 6, pp. 51–76.
Daniels,  B. S., Hauser,  E. B., Deen,  W. N., and Hostetter,  T. H., 1992, “Glomerular Basement Membrane: in Vitro Studies of Water and Protein Permeability,” Am. J. Physiol., 262, pp. F919–F926.
Bito, L. Z., Davson, H., and Fenstermacher, J. D., 1977, The Ocular and Cerebrospinal Fluids, Academic Press, London, New York, San Francisco.
Ethier,  C. R., Kamm,  R. D., Palaszewski,  B. A., Johnson,  M. C., and Richardson,  T. M., 1986, “Calculations of Flow Resistance in the Juxtacanalicular Meshwork,” Invest. Ophthalmol. Visual Sci., 27, pp. 1741–1750.
Levick,  J. R., 1987, “Flow Through Interstitium and Other Fibrous Matrices,” Q. J. Exp. Physiol., 72, pp. 409–437.
Hascall, V. C., and Hascall, G. K., 1982, “Proteoglycans,” Cell Biology of Extracellular Matrix, E. D. Hay, ed., Plenum Press, New York, pp. 39–63.
Mecham,  R. P., and Heuser,  J., 1990, “Three-Dimensional Organization of Extracellular Matrix in Elastic Cartilage as Viewed by Quick Freeze, Deep Etch Electron Microscopy,” Connect. Tissue Res., 24, pp. 83–93.
Hedbys,  B. O., and Mishima,  S., 1962, “Flow of Water in Corneal Stroma,” Exp. Eye Res., 1, pp. 262–275.
Hedbys,  B. O., 1963, “Corneal Resistance to the Flow of Water After Enzymatic Digestion,” Exp. Eye Res., 2, pp. 112–121.
Hedbys, B. O., and Mishima, S., 1969, “The Flow of Water Across the Corneal Layers,” The Cornea, Macromolecular Organization of a Connective Tissue, M. Langham, ed., Johns Hopkins, Baltimore, pp. 69–77.
Fatt,  I., and Hedbys,  B. O., 1970, “Flow Conductivity of Human Corneal Stoma,” Exp. Eye Res., 10, pp. 237–242.
Eisenberg,  S. R., and Grodzinsky,  A. J., 1987, “The Kinetics of Chemically Induced Nonequilibrium Swelling of Articular Cartilage and Corneal Stroma,” J. Biomech. Eng., 109, pp. 79–89.
Carmen,  P. C., 1937, “Fluid Flow Through Granular Beds,” Trans. Inst. Chem. Eng., 15, pp. 150–166.
Ethier, C. R., 1983, “Hydrodynamics of Flow Through Gels With Applications to the Eye,” Mechanical Engineering, Massachusetts Institute of Technology, Cambridge, MA.
Bird, R. B., Stewart, W. E., and Lightfoot, E. N., 1960, Transport Phenomena, Wiley, New York.
Happel, J., and Brenner, H., 1983, Low Reynolds Number Hydrodynamics, Martinus Nijhoff, Hague, Netherlands.
Ghaddar,  C. K., 1995, “On the Permeability of Unidirectional Fibrous Media: A Parallel Computational Approach,” Phys. Fluids, 7, pp. 2563–2586.
Meek,  K., Fullwood,  N., Cooke,  P., Elliot,  G., Maurice,  D., Quantock,  A., Wall,  R., and Worthington,  C., 1991, “Synchrotron X-Ray Diffraction Studies of the Cornea, With Implications for Stromal Hydration,” Biophys. J., 60, pp. 467–474.
Ethier,  C. R., 1991, “Flow Through Mixed Fibrous Porous Materials,” AIChE J., 37, pp. 1227–1236.
Paleszewski, B., 1983, Analytical Studies of Flow Through a Porous Medium With Applications to the Trabecular Meshwork of the Eye, Massachusetts Institute of Technology, Cambridge, MA.
Miles, R. E., 1975, “On Estimating Aggregate and Overall Characteristics From Thick Sections by Transmission Electron Microscopy,” Proceedings of the Fourth International Congress for Stereology, National Bureau of Standards Special Publications, Gaithersburg, MD.
Underwood, E. E., 1970, Quantitative Stereology, Addison-Wesley, Reading, MA.
Delesse,  A., 1848, “Pour Determiner la Composition des Roches,” Ann. Mines, 13, pp. 379–388.
Saltykov, S. A., 1958, Stereometric Metallography, Metallurgizdat, Moscow.
Hirsch,  M., Nicholas,  G., and Pouliquen,  Y., 1989, “Interfibrillar Structures in Fast-Frozen, Deep-Etched and Rotary-Shadowed Extracellular Matrix of Rabbit Corneal Stroma,” Exp. Eye Res., 49, pp. 311–315.
Yamabayashi,  S., Ohno,  S., Aguilar,  R. N., Furuya,  T., Hosoda,  M., and Tsukahara,  S., 1991, “Ultrastructural Studies of Collagen Fibers of the Cornea and Sclera by a Quick-Freezing and Deep-Etching Method,” Ophthalmic Res., 23, pp. 320–329.
Huang,  Y., Rumschitzki,  D., Chien,  S., and Weinbaum,  S., 1994, “A Fiber Matrix Model for the Growth of Macromolecular Leakage Spots in the Arterial Intima,” J. Biomech. Eng., 116, pp. 430–445.
Huang,  Y., Rumschitzki,  D., Chien,  S., and Weinbaum,  S., 1997, “A Fiber Matrix Model for the Filtration Through Fenestral Pores in a Compressible Arterial Intima,” Am. J. Physiol., 272, pp. H2023–H2039.
Comper,  W. D., and Laurent,  T. C., 1978, “Physiological Function of Connective Tissue Polysaccharides,” Physiol. Rev., 58, pp. 255–315.
Hirsch,  M., Noske,  W., Prenant,  G., and Renard,  G., 1999, “Fine Structure of the Developing Avian Corneal Stroma as Revealed by Quick-Freeze/Deep-Etch Electron Microscopy,” Exp. Eye Res., 69, pp. 267–277.
Anseth,  A., and Laurent,  T., 1961, “Studies on Corneal Polysaccharides. I. Separation.,” Exp. Eye Res., 1, pp. 25–38.
Axelsson,  I., and Heinegard,  D., 1975, “Fractionation of Proteoglycans From Bovine Corneal Stroma,” Biochem. J., 145, pp. 491–500.
Zimmermann,  D., Trueb,  B., Winterhalter,  K., Witmer,  R., and Fischer,  R., 1986, “Type VI Collagen Is a Major Component of the Human Cornea,” FEBS Lett., 197, pp. 55–58.
Rawe,  I., Zhan,  Q., Burrows,  R., Bennet,  K., and Cintron,  C., 1997, “Beta-ig. Molecular Cloning and In Situ Hybridization in Corneal Tissues,” Invest. Ophthalmol. Visual Sci., 38, pp. 893–901.
Craig,  A., Robertson,  J., and Parry,  D., 1986, “Preservation of Corneal Collagen Fibril Structure Using Low-Temperature Procedures for Electron Mmicroscopy,” J. Ultrastruct Mol. Struct. Res., 96, pp. 172–175.
Fullwood,  N., and Meek,  K., 1993, “A Synchroton X-Ray Study of the Changes Occurring in the Corneal Stroma During Processing for Electron Microscopy,” J. Microsc., 169, pp. 53–60.
Murata,  Y., Yoshioka,  H., Iyama,  K., and Usuku,  G., 1989, “Distribution of Type VI Collagen in the Bovine Cornea,” Ophthalmic Res., 21, pp. 67–72.
Marshall,  G. E., A. G.,  K., and W.R.,  L., 1991, “Immunogold Fine Structural Localization of Extracellular Matrix Components in Aged Human Cornea. II. Collagen Types V and VI,” Graefe's Arch. Clin. Exp. Ophthalmol., 229, pp. 164–171.
Hill,  R., and Power,  G., 1956, “Extremum Principles for Slow Viscous Flow and the Approximate Calculation of Drag,” Q. J. Mech. Appl. Math., 9, pp. 310–319.
Mishima,  S., and Maurice,  D., 1961, “The Oily Layer of the Tear Film and Evaporation From the Corneal Surface,” Exp. Eye Res., 1, pp. 39–45.
Wiig,  H., 1990, “Cornea Fluid Dynamics II. Evidence for Transport of Radiolabelled Albumin in Rabbits by Bulk Flow,” Exp. Eye Res., 50, pp. 261–267.
Mow,  V. C., Holmes,  M. H., and Lai,  W. M., 1984, “Fluid Transport and Mechanical Properties of Articular Cartilage: A Review,” J. Biomech., 17, p. 377.
Bill, A., 1984, “Circulation in the Eye,” Microcirculation, Part 2, E. M. Renkin and C. C. Michel, eds., American Physiological Society, Baltimore, MD, IV, p. 1076.
Fatt, I., 1978, Physiology of the Eye: An Introduction to the Vegetative Functions, Butterworth, Boston, MA.
Starita,  C., Hussain,  A., Pagliarini,  S., and Marshall,  J., 1996, “Hydrodynamics of Aging Bruch’s Membrane: Implications for Macular Disease,” Exp. Eye Res., 62, pp. 565–572.
Robinson,  W., Kador,  P., and Kinoshita,  J., 1983, “Retinal Capillaries: Basement Membrane Thickening by Galactosemia Prevented With Aldose Reductase Inhibitor,” Science, 221, pp. 1177–1179.
Drumond,  M., and Deen,  W., 1994, “Stokes Flow Through a Row of Cylinders Between Parallel Walls: Model for the Flomerular Slit Diaphragm,” J. Biomech. Eng., 116, pp. 184–189.
Cauchy, A., 1908, Oeuvres Completes d’Augustin Cauchy, Gauthier-Villars, Paris.
Vouk,  V., 1948, “Projected Area of Convex Bodies,” Nature (London), 162, p. 330.


Grahic Jump Location
ε′ and α′ /(πα/4) computed for randomly placed (noninterpenetrating) spheres that were numerically projected on a two-dimensional surface as a function of αDf /4ε with ε=0.8. Squares are numerical results for ε′ , circles for α′ /(πα/4). Error bars represent standard error. The solid line is prediction of equation (4a); the dashed line is prediction of equation (4b) with Dp=(3π/2)(1−ε)/α.
Grahic Jump Location
(a) Conventional transmission electron micrograph of bovine corneal stroma with characteristic collagen banding pattern, (b) quick-freeze/deep-etch micrograph of bovine corneal stroma. Note the enhanced resolution of the interfibrillar structures; bars: 50 nm.
Grahic Jump Location
(a) Typical interfibrillar network chosen for specific hydraulic conductivity analysis; (b) high threshold image of open-spaces available for fluid flow that include 32.8 percent of the pixels (shown in white: pixel value >165: arbitrary units); (c) low threshold image of open-spaces available for fluid flow that include 17.8 percent of the pixels (pixel value >210). ×345,000; bar: 50 nm
Grahic Jump Location
Gray-scale histogram of the interfibrillar region shown in Fig. 3. Higher pixel values correspond to darker spaces. The high and low threshold limits are shown with the pixels on the right of each limit being defined as contributing to the open-spaces available for fluid flow.
Grahic Jump Location
Interfibrillar porosity (ε) of the hydrodynamically significant spaces as a function of depth-of-field (Df). Two families of curves are shown, one for a low threshold level, the other high. For each threshold level, the shaded region represents the influence of particle shape [equation (5)]. The arrows indicate the minimum and maximum values of Df.
Grahic Jump Location
Interfibrillar specific surface (α) of the hydrodynamically significant spaces as a function of depth-of-field (Df). Labels as in Fig. 5.
Grahic Jump Location
Interfibrillar specific hydraulic conductivity (Ki) as a function of depth-of-field (Df). Labels as in Fig. 5.




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