Effects of variable permeability on aqueous humor outflow

Applied Mathematics and Computation

Volumn 196, Issue 1, 2008, Pages 371-380

  Merchant, Bradley M ^a   Heys, Jeffrey J ^a  

^a Arizona State University   (United States)

Author keywords

Algebraic multigrid; Darcy's law; Juxtacanalicular tissue; Open angle glaucoma

Indexed keywords

FINITE ELEMENT METHOD; HYDRAULIC CONDUCTIVITY; PARALLEL ALGORITHMS; TISSUE;

ALGEBRAIC MULTIGRID; AQUEOUS HUMOR OUTFLOW; DARCY'S LAW; EXTRACELLULAR STRUCTURES; HETEROGENEOUS TISSUE; OPEN-ANGLE GLAUCOMA; VARIABLE PERMEABILITY;

FLOW OF FLUIDS;

EID: 38049001925     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2007.06.008     Document Type: Article

References (30)

1. B.T. Gabelt, P.L. Kaufman, Aqueous humor hydrodynamics, in: P.L. Kaufman, A. Alm, (Eds.), Adler's Physiology of the Eye, tenth ed., Mosby, 2003.
2. Overby D., Gong H., Qiu G., Freddo T.F., and Johnson M. The mechanism of increasing outflow facility during washout in the bovine eye. Invest. Ophthalmol. Vis. Sci. 43 (2002) 3455-3464
3. McEwen W.K. Application of poiseuille's law to aqueous outflow. Arch. Ophthalmol. 60 (1958) 290
4. Grant W.M. Facility of flow through the trabecular meshwork. Arch. Ophthalmol. 54 (1955) 245
5. Grant W.M. Experimental aqueous perfusion in enucleated human eyes. Arch. Ophthalmol. 69 (1963) 783
6. Maepea O., and Bill A. The pressures in the episcleral veins schlemm canal and the trabecular meshwork in monkeys - effects of changes in intraocular-pressure. Exp. Eye Res. 49 (1989) 645-663
7. Maepea O., and Bill A. Pressures in the juxtacanalicular tissue and schlemm's canal in monkeys. Exp. Eye Res. 54 (1992) 879-883
8. Johnson M.C., and Kamm R.D. The role of schlemm's canal in aqueous outflow from the human eye. Invest. Ophthalmol. Vis. Sci. 24 (1983) 320-325
9. Avtar R., and Srivastava R. Aqueous outflow in schlemm's canal. Appl. Math. Comput. 174 (2006) 316-328
10. Ethier C.R., Kamm R.D., Palaszewski B.A., Johnson M.C., and Richardson T.M. Calculations of flow resistance in the juxtacanalicular meshwork. Invest. Ophthalmol. Vis. Sci. 27 (1986) 1741-1750
11. TenHulzen R.D., and Johnson D.H. Effect of fixation pressure on juxtacanalicular tissue and schlemm's canal. Invest. Ophthalmol. Vis. Sci. 37 (1996) 114-124
12. Murphy C.G., Johnson M., and Alvarado J.A. Juxtacanalicular tissue in pigmentary and primary open angle glaucoma The hydrodynamic role of pigment and other constituents. Arch. Ophthalmol. 110 (1992) 1779-1785
13. Seiler T., and Wollensak J. The resistance of the trabecular meshwork to aqueous-humor outflow. Graefe's Arch. Clin. Exp. Ophthalmol. 223 (1985) 88-91
14. Gong H., Ruberti J., Overby D., Johnson M., and Freddo T.F. A new view of the human trabecular meshwork using quick-freeze deep-etch electron microscopy. Exp. Eye Res. 75 (2002) 347-358
15. Mecham R.P., and Heuser J. 3-dimensional organization of extracellular-matrix in elastic cartilage as viewed by quick freeze deep etch electron-microscopy. Connect. Tissue Res. 24 (1990) 83-93
16. Kubosawa H., and Kondo Y. Quick-freeze deep-etch studies of renal basement-membranes. Microsc. Res. Tech. 28 (1994) 2-12
17. Hirsch M., Noske W., Prenant G., and Renard G. Fine structure of the developing avian corneal stroma as revealed by quick-freeze deep-etch electron microscopy. Exp. Eye Res. 69 (1999) 267-277
18. Overby D., Ruberti J., Gong H., Freddo T.F., and Johnson M. Specific hydraulic conductivity of corneal stroma as seen by quick-freeze/deep-etch. J. Biomech. Eng. 123 (2001) 154-161
19. Johnson M., Shapiro A., Ethier C.R., and Kamm R.D. Modulation of outflow resistance by the pores of the inner wall endothelium. Invest. Ophthalmol. Vis. Sci. 33 (1992) 1670-1675
20. Overby D.R., and Johnson M. Studies on depth-of-field effects in microscopy supported by numerical simulations. J. Microsc-Oxford 220 (2005) 76-189
21. Knight A.D., and Levick J.R. Effect of fluid pressure on the hydraulic conductance of interstitium and fenstrated endothelium in the rabbit knee. J. Physiol. (Lond.) 360 (1985) 311-332
22. Jackson T.L., Hussain A., Hodgetts A., Morley A.M.S., Hillenkamp J., Sullivan P.M., and Marshall J. Human scleral hydraulic conductivity: Age-related changes topographical variation and potential scleral outflow facility. Invest. Ophthalmol. Vis. Sci. 47 (2006) 4942-4946
23. Daniels B.S., Hauser E.B., Deen W.M., and Hostetter T.H. Glomerular-basement-membrane - invitro studies of water and protein permeability. Am. J. Physiol. 262 (1992) F919-F926
24. Smith S.D. Measurement of the rate of aqueous humor flow. Yale J. Biol. Med. 64 (1991) 89-102
25. Tandon P.N., and Autar R. Biphasic model of the trabecular meshwork in the eye. Med. Biol. Eng. Comput. 29 (1991) 281-290
26. Karypis G., and Kumar V. A fast and high quality multilevel scheme for partitioning irregular graphs. SIAM J. Sci. Comput. 20 (1998) 359-392
27. Ethier C.R., Coloma F.M., Sit A.J., and Johnson M. Two pore types in the inner-wall endothelium of schlemm's canal. Invest. Ophthalmol. Vis. Sci. 39 (1998) 2041-2048
28. Buller C., and Johnson D. Segmental variability of the trabecular meshwork in normal and glaucomatous eyes. Invest. Ophthalmol. Vis. Sci. 35 (1994) 3841-3851
29. Hann C.R., Bahler C.K., and Johnson D.H. Cationic ferritin and segmental flow through the trabecular meshwork. Invest. Ophthalmol. Vis. Sci. 46 (2005) 1-7
30. Johnson M. What controls aqueous humour outflow resistance?. Exp. Eye Res. 82 (2006) 545-557