Effects of hydration and fixed charge density on fluid transport in charged hydrated soft tissues

Annals of Biomedical Engineering

Volumn 31, Issue 10, 2003, Pages 1162-1170

  Gu, Wei Yong ^a   Yao, Hai ^a  

^a University of Miami College of Engineering   (United States)

Author keywords

Annulus fibrosus; Finite element method; Fixed charge density; Fluid transport; Hydraulic permeability; Intervertebral disk; Tissue hydration; Triphasic theory

Indexed keywords

BIOELECTRIC POTENTIALS; BIOMECHANICS; BLOOD VESSELS; CARTILAGE; COMPUTER SIMULATION; FINITE ELEMENT METHOD; HYDRATION;

CHARGED HYDRATED SOFT TISSUES; DARCY PERMEABILITY; FIXED CHARGE DENSITY; FLUID TRANSPORT; HYDRAULIC PERMEABILITY; INVERTEBRAL DISK; TISSUE DEFORMATION; TISSUE HYDRATION; TRIPHASIC THEORY;

TISSUE;

WATER;

ABSORPTION; ANIMAL; ARTICLE; BIOLOGICAL MODEL; COMPARATIVE STUDY; COMPUTER SIMULATION; CONNECTIVE TISSUE; ELASTICITY; ELECTRICITY; EVALUATION; FINITE ELEMENT ANALYSIS; FLUID SHIFT; IN VITRO STUDY; INTERVERTEBRAL DISK; METABOLISM; OSMOTIC PRESSURE; PERMEABILITY; PHYSIOLOGY; POROSITY; SWINE; TRANSPORT AT THE CELLULAR LEVEL; VALIDATION STUDY; VISCOSITY; WEIGHT BEARING;

ABSORPTION; ANIMALS; BIOLOGICAL TRANSPORT; COMPUTER SIMULATION; CONNECTIVE TISSUE; ELASTICITY; ELECTROSTATICS; FINITE ELEMENT ANALYSIS; FLUID SHIFTS; INTERVERTEBRAL DISK; MODELS, BIOLOGICAL; OSMOTIC PRESSURE; PERMEABILITY; POROSITY; SWINE; VISCOSITY; WATER; WEIGHT-BEARING;

EID: 0347596467     PISSN: 00906964     EISSN: None     Source Type: Journal    
DOI: 10.1114/1.1615576     Document Type: Article

References (59)

1. Argoubi, M., and A. Shirazi-Adl. Poroelastic creep response analysis of a lumbar motion segment in compression. J. Biomech. 29:1331-1339, 1996.
2. Best, B. A., F. Guilak, L. A. Setton, W. Zhu, F. Saed-Nejad, A. Ratcliffe, M. Weidenbaum, and V. C. Mow. Compressive mechanical properties of the human anulus fibrosus and their relationship to biochemical composition. Spine 19:212-221, 1994.
3. Bibby, S. R., J. C. Fairbank, M. R. Urban, and J. P. Urban. Cell viability in scoliotic discs in relation to disc deformity and nutrient levels. Spine 27:2220-2228, 2002.
4. Chammas, P., W. J. Federspiel, and S. R. Eisenberg. A microcontinuum model of electrokinetic coupling in the extra-cellular matrix: Perturbation formulation and solution. J. Colloid Interface Sci. 168:526-538, 1994.
5. Crock, H. V., and M. Goldwasser. Anatomic studies of the circulation in the region of the vertebral end-plate in adult Greyhound dogs. Spine 9:702-706, 1984.
6. Drost, M. R., P. Willems, H. Snijders, J. M. Huyghe, J. D. Janssen, and A. Huson. Confined compression of canine annulus fibrosus under chemical and mechanical loading. J. Biomech. Eng. 117:390-396, 1995.
7. Ehlers, W., and B. Markert. A linear viscoelastic biphasic model for soft tissues based on the theory of porous media. J. Biomech. Eng. 123:418-424, 2001.
8. Eisenberg, S. R., and A. J. Grodzinsky. Electrokinetic micromodel of extracellular-matrix and other polyelectrolyte networks. PhysicoChemical Hydrodynamics 10:517-539, 1988.
9. Frank, E. H., and A. J. Grodzinsky. Cartilage electromechanics-I. Electrokinetic transduction and the effects of electrolyte pH and ionic strength. J. Biomech. 20:615-627, 1987.
10. Frank, E. H., and A. J. Grodzinsky. Cartilage electromechanics-II. A continuum model of cartilage electrokinetics and correlation with experiments. J. Biomech. 20:629-639, 1987.
11. Frank, E. H., A. J. Grodzinsky, S. L. Phillips, and P. E. Grimshaw. Physiochemical and bioelectrical determinants of cartilage material properties. In: Biomechanics of Diarthrodial Joints, edited by V. C. Mow, D. O. Wood, and S. L. Woo. New York: Springer, 1990, pp. 261-282.
12. Grodzinsky, A. J., Electromechanical and physicochemical properties of connective tissue. Crit. Rev. Biomed. Eng. 9:133-199, 1983.
13. Gu, W. Y., M. A. Justiz, and H. Yao. Electrical conductivity of lumbar annulus fibrosis: Effects of porosity and fixed charge density. Spine 27: 2390-2395, 2002.
14. Gu, W. Y., and M. A. Justiz. Apparatus for measuring the swelling dependent electrical conductivity of charged hydrated soft tissues. J. Biomech. Eng. 124: 790-793, 2002.
15. Gu, W. Y., W. M. Lai, and V. C. Mow. Theoretical basis for measurements of cartilage fixed-charge density using streaming current and electro-osmosis effects. Adv. Bioeng. 26:55-58, 1993.
16. Gu, W. Y., W. M. Lai, and V. C. Mow. Transport of fluid and ions through a porous-permeable charged-hydrated tissue, and streaming potential data on normal bovine articular cartilage. J. Biomech. 26: 709-723, 1993.
17. Gu, W. Y., W. M. Lai, and V. C. Mow. A mixture theory for charged-hydrated soft tissues containing multielectrolytes: passive transport and swelling behaviors. J. Biomech. Eng. 120: 169-180, 1998.
18. Gu, W. Y., W. M. Lai, and V. C. Mow. Transport of multi-electrolytes in charged hydrated biological soft tissues. Transp. Porous Media 34: 143-157, 1999.
19. Gu, W. Y., X. G. Mao, R. J. Foster, M. Weidenbaum, V. C. Mow, and B. A. Rawlins. The anisotropic hydraulic permeability of human lumbar anulus fibrosus. Influence of age, degeneration, direction, and water content. Spine 24:2449-2455, 1999.
20. Gu, W. Y., H. Yao, C.-Y. Huang, and H. S. Cheung. New insight into deformation-dependent hydraulic permeability of gels and cartilage, and dynamic behavior of agarose gels in confined compression. J. Biomech. 36:593-598, 2003.
21. Happel, J. Viscous flow relative to arrays of cylinders. AIChE J. 5:174-177, 1959.
22. Helfferich, F. Ion Exchange. New York: McGraw-Hill, 1962.
23. Holm, S., A. Maroudas, J. P. Urban, G. Selstam, and A. Nachemson. Nutrition of the intervertebral disc: Solute transport and metabolism. Connect. Tissue Res. 8:101-119, 1981.
24. Holm, S., and A. Nachemson. Nutritional changes in the canine intervertebral disc after spinal fusion. Clin. Orthop. 169:243-258, 1982.
25. Holmes, M. H., and V. C. Mow. The nonlinear characteristics of soft gels and hydrated connective tissues in ultrafiltration. J. Biomech. 23:1145-1156, 1990.
26. Horner, H. A., and J. P. Urban. 2001 Volvo Award Winner in Basic Science Studies: Effect of nutrient supply on the viability of cells from the nucleus pulposus of the intervertebral disc. Spine 26:2543-2549, 2001.
27. Houben, G. B., M. R. Drost, J. M. Huyghe, J. D. Janssen, and A. H. Husson. Nonhomogeneous permeability of canine anulus fibrosus. Spine 1: 7-16, 1997.
28. Huyghe, J. M., and J. D. Janssen. Quadriphasic mechanics of swelling incompressible porous media. Int. J. Eng. Sci. 35:793-802, 1997.
29. Iatridis, J. C., L. A. Setton, R. J. Foster, B. A. Rawlins, M. Weidenbaum, and V. C. Mow. Degeneration affects the anisotropic and nonlinear behaviors of human anulus fibrosus in compression. J. Biomech. 31:535-544, 1998.
30. Jackson, G. W., and D. F. James. The permeability of fibrous porous media. Can. J. Chem. Eng. 64:364-374, 1986.
31. Johnson, E. M., and W. M. Deen. Hydraulic permeability of agarose gels. AIChE J. 42:1220-1224, 1996.
32. Katchalsky, A., and P. F. Curran. Nonequilibrium Thermodynamics in Biophysics. Cambridge: Harvard University Press, 1975.
33. Klisch, S. M., and J. C. Lotz. A special theory of biphasic mixtures and experimental results for human annulus fibrosus tested in confined compression. J. Biomech. Eng. 122:180-188, 2000.
34. Koneshan, S., J. C. Rasaiah, R. M. Lynden-Bell, and S. H. Lee. Solvent structure, dynamics, and ion mobility in aqueous solution at 25 °C. J. Phys. Chem. 102:4193-4204, 1998.
35. Koponen, A., M. Kataja, and J. Timonen. Permeability and effective porosity of porous media. Phys. Rev. E 56:3319-3325, 1997.
36. Lai, W. M., J. S. Hou, and V. C. Mow. A triphasic theory for the swelling and deformation behaviors of articular cartilage. J. Biomech. Eng. 113:245-258, 1991.
37. Lai, W. M., and V. C. Mow. Drag-induced compression of articular cartilage during a permeation experiment. Biorheology 17:111-123, 1980.
38. Lai, W. M., V. C. Mow, D. D. Sun, and G. A. Ateshian. On the electric potentials inside a charged soft hydrated biological tissue: Streaming potential versus diffusion potential. J. Biomech. Eng. 122:336-346, 2000.
39. Lee, R. C., E. H. Frank, A. J. Grodzinsky, and D. K. Roylance. Oscillatory compressional behavior of articular cartilage and its associated electro-mechanical properties. J. Biomech. Eng. 103:280-292, 1981.
40. Mackie, J. S., and P. Meares. The diffusion of electrolytes in a cation-exchange resin-I. theoretical. Proc. R. Soc. London, Ser. A 232:498-509, 1955.
41. Maroudas, A. Physicochemical properties of cartilage in the light of ion exchange theory. Biophys. J. 8:575-595, 1968.
42. Maroudas, A. Biophysical chemistry of cartilaginous tissues with special reference to solute and fluid transport. Biorheology 12:233-248, 1975.
43. Maroudas, A., R. A. Stockwell, A. Nachemson, and J. Urban. Factors involved in the nutrition of the human lumbar intervertebral disc: Cellularity and diffusion of glucose in vitro. J. Anat. 120:113-130, 1975.
44. Moore, R. J., O. L. Osti, B. Vernon-Roberts, and R. D. Fraser. Changes in endplate vascularity after an outer anulus tear in the sheep. Spine 17:874-878, 1992.
45. Mow, V. C., G. A. Ateshian, W. M. Lai, and W. Y. Gu. Effects of fixed charge density on the stress-relaxation behavior of hydrated soft tissues in a confined compression problem. Int. J. Space Struct. 35:4945-4962, 1998.
46. Mow, V. C., S. C. Kuei, W. M. Lai, and C. G. Armstrong. Biphasic creep and stress relaxation of articular cartilage in compression: Theory and experiments. J. Biomech. Eng. 102:73-84, 1980.
47. Mow, V. C., and W. M. Lai. Selected unresolved problems in synovial joint biomechanics. In: Proceedings of Biomechanics Symposium, pp. 19-52.
48. Nachemson, A., T. Lewin, A. Maroudas, and M. A. Freeman. In vitro diffusion of dye through the end-plates and the annulus fibrosus of human lumbar inter-vertebral discs. Geotech. Eng. 41:589-607, 1970.
49. Ogata, K., and L. A. Whiteside. 1980 Volvo award winner in basic science. Nutritional pathways of the intervertebral disc. An experimental study using hydrogen washout technique. Int. J. Space Struct. 6:211-216, 1981.
50. Ohshima, H., H. Tsuji, N. Hiarano, H. Ishihara, Y. Katoh, and H. Yamada. Water diffusion pathway, swelling pressure, and biomechanical properties of the intervertebral disc during compression load. Int. J. Space Struct. 14:1234-1244, 1989.
51. Riches, P. E., N. Dhillon, J. Lotz, A. W. Woods, and D. S. McNally. The internal mechanics of the intervertebral disc under cyclic loading. J. Biomech. 35:1263-1271, 2002.
52. Roberts, S., J. P. Urban, H. Evans, and S. M. Eisentein. Transport properties of the human cartilage endplate in relation to its composition and calcification. Int. J. Space Struct. 21:415-420, 1996.
53. Setton, L. A., W. Zhu, M. Weidenbaum, A. Ratcliffe, and V. C. Mow. Compressive properties of the cartilaginous end-plate of the baboon lumbar spine. J. Orthop. Res. 11:228-239, 1993.
54. Sun, D. N., W. Y. Gu, X. E. Guo, W. M. Lai, and V. C. Mow. A mixed finite element formulation of triphasic mechano-electrochemical theory for charged, hydrated biological soft tissues. Int. J. Numer. Methods Eng. 45:1375-1402, 1999.
55. Urban, J. P. The role of the physicochemical environment in determining disc cell behaviour. Biochem. Soc. Trans. 30:858-864, 2001.
56. Urban, J. P., S. Holm, and A. Maroudas. Diffusion of small solutes into the intervertebral disc: As in vivo study. Biorheology 15:203-221, 1978.
57. Urban, J. P. G., S. Holms, A. Maroudas, and A. Nachemson. Nutrition of the intervertebral disc: An in vivo study of solute transport. Clin. Orthop. 129:101-114, 1977.
58. Yao, H., and W. Y. Gu. New insight into deformation-dependent hydraulic permeability of hydrogels and cartilage. Adv. Bioeng. 53:32520, 2002.
59. Yao, H., M. A. Justiz, D. Flagler, and W. Y. Gu. Effects of swelling pressure and hydraulic permeability on dynamic compressive behavior of lumbar annulus fibrosus. Ann. Biomed. Eng. 30:1234-1241, 2002.