Argoubi, M., and A. Shirazi-Adl. Poroelastic creep response analysis of a lumbar motion segment in compression. J. Biomech. 29:1331–1339, 1996.
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. Spine19:212–221, 1994.
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. Spine27:2220–2228, 2002.
Chammas, P., W. J. Federspiel, and S. R. Eisenberg. A microcontinuum model of electrokinetic coupling in the extracellular matrix: Perturbation formulation and solution. J. Colloid Interface Sci. 168:526–538, 1994.
Crock, H. V., and M. Goldwasser. Anatomic studies of the circulation in the region of the vertebral end-plate in adult Greyhound dogs. Spine9:702–706, 1984.
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.
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.
Eisenberg, S. R., and A. J. Grodzinsky. Electrokinetic micromodel of extracellular-matrix and other polyelectrolyte networks. PhysicoChemical Hydrodynamics10:517–539, 1988.
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.
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.
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.
Grodzinsky, A. J. Electromechanical and physicochemical properties of connective tissue. Crit. Rev. Biomed. Eng. 9:133–199, 1983.
Gu, W. Y., M. A. Justiz, and H. Yao. Electrical conductivity of lumbar annulus fibrosis: Effects of porosity and fixed charge density. Spine27:2390–2395, 2002.
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.
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.
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.
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.
Gu, W. Y., W. M. Lai, and V. C. Mow. Transport of multi-electrolytes in charged hydrated biological soft tissues. Transp. Porous Media34:143–157, 1999.
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. Spine24:2449–2455, 1999.
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.
Happel, J. Viscous flow relative to arrays of cylinders. AIChE J. 5:174–177, 1959.
Helfferich, F. Ion Exchange. New York: McGraw-Hill, 1962.
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.
Holm, S., and A. Nachemson. Nutritional changes in the canine intervertebral disc after spinal fusion. Clin. Orthop. 169:243–258, 1982.
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.
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. Spine26:2543–2549, 2001.
Houben, G. B., M. R. Drost, J. M. Huyghe, J. D. Janssen, and A. H. Husson. Nonhomogeneous permeability of canine anulus fibrosus. Spine1:7–16, 1997.
Huyghe, J. M., and J. D. Janssen. Quadriphasic mechanics of swelling incompressible porous media. Int. J. Eng. Sci. 35:793–802, 1997.
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.
Jackson, G. W., and D. F. James. The permeability of fibrous porous media. Can. J. Chem. Eng. 64:364–374, 1986.
Johnson, E. M., and W. M. Deen. Hydraulic permeability of agarose gels. AIChE J. 42:1220–1224, 1996.
Katchalsky, A., and P. F. Curran. Nonequilibrium Thermodynamics in Biophysics. Cambridge: Harvard University Press, 1975.
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.
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.
Koponen, A., M. Kataja, and J. Timonen. Permeability and effective porosity of porous media. Phys. Rev. E56:3319–3325, 1997.
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.
Lai, W. M., and V. C. Mow. Drag-induced compression of articular cartilage during a permeation experiment. Biorheology17:111–123, 1980.
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.
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.
Mackie, J. S., and P. Meares. The diffusion of electrolytes in a cation-exchange resin—I. theoretical. Proc. R. Soc. London, Ser. A232:498–509, 1955.
Maroudas, A. Physicochemical properties of cartilage in the light of ion exchange theory. Biophys. J. 8:575–595, 1968.
Maroudas, A. Biophysical chemistry of cartilaginous tissues with special reference to solute and fluid transport. Biorheology12:233–248, 1975.
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. J. Anat. 120:113–130, 1975.
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. Spine17:874–878, 1992.
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.
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.
Mow, V. C., and W. M. Lai. Selected unresolved problems in synovial joint biomechanics. In: Proceedings of Biomechanics Symposium, edited by W. Van Buskirk. New York: ASME, 1979, pp. 19–52.
Nachemson, A., T. Lewin, A. Maroudas, and M. A. Freeman. diffusion of dye through the end-plates and the annulus fibrosus of human lumbar inter-vertebral discs. Geotech. Eng. 41:589–607, 1970.
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.
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.
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.
Roberts, S., J. P. Urban, H. Evans, and S. M. Eisenstein. Transport properties of the human cartilage endplate in relation to its composition and calcification. Int. J. Space Struct. 21:415–420, 1996.
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.
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.
Urban, J. P. The role of the physicochemical environment in determining disc cell behaviour. Biochem. Soc. Trans. 30:858–864, 2001.
Urban, J. P., S. Holm, and A. Maroudas. Diffusion of small solutes into the intervertebral disc: As study. Biorheology15:203–221, 1978.
Urban, J. P. G., S. Holms, A. Maroudas, and A. Nachemson. Nutrition of the intervertebral disc: An study of solute transport. Clin. Orthop. 129:101–114, 1977.
Yao, H., and W. Y. Gu. New insight into deformation-dependent hydraulic permeability of hydrogels and cartilage. Adv. Bioeng. 53:32520, 2002.
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.