Diffusivity of ions in agarose gels and intervertebral disc: Effect of porosity

Annals of Biomedical Engineering

Volumn 32, Issue 12, 2004, Pages 1710-1717

  Gu, Wei Yong ^a   Yao, Hai ^a   Vega, Adriana L ^a   Flagler, Daniel ^a  

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

Author keywords

Agarose gel; Annulus fibrosus; Diffusion coefficient; Electrical conductivity; Intervertebral disc; Ion diffusion; Tissue porosity

Indexed keywords

DIFFUSION; ELECTRIC CONDUCTIVITY; MACROMOLECULES; MATERIALS SCIENCE; POROSITY; PROTEINS; TISSUE;

AGAROSE GEL; ANNULUS FIBROSUS; INTERVERTEBRAL DISCS; ION DIFFUSION; TISSUE POROSITY;

GELS;

ION; SEPHAROSE;

ANIMAL; ARTICLE; CHEMICAL MODEL; CHEMISTRY; DIFFUSION; GEL; INTERVERTEBRAL DISK; PERMEABILITY; POROSITY; SWINE;

ANIMALS; DIFFUSION; GELS; INTERVERTEBRAL DISK; IONS; MODELS, CHEMICAL; PERMEABILITY; POROSITY; SEPHAROSE; SWINE;

EID: 12344285965     PISSN: 00906964     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10439-004-7823-4     Document Type: Article

References (50)

1. Berk, D. A., F. Yuan, M. Leunig, and R. K. Jain. Fluorescence photobleaching with spatial Fourier analysis: Measurement of diffusion in light-scattering media. Biophys. J. 65:2428-2436, 1993.
2. Bonassar, L. J., A. J. Grodzinsky, E. H. Frank, S. G. Davila, N. R. Bhaktav, and S. B. Trippel. The effect of dynamic compression on the response of articular cartilage to insulin-like growth factor-I. J. Orthop. Res. 19:11-17, 2001.
3. Bonassar, L. J., A. J. Grodzinsky, A. Srinivasan, S. G. Davila, and S. B. Trippel. Mechanical and physicochemical regulation of the action of insulin-like growth factor-I on articular cartilage. Arch. Biochem. Biophys. 379:57-63, 2000.
4. Brady, J. F. Hindered diffusion, In Extended Abstracts, American Institute of Chemical Engineers Annual Meeting, San Francisco, CA, 1994, p.320.
5. Brinkman, H. C. A calculation of the viscous force exerted by a flowing fluid in a dense swarm of particles. Appl. Sci. Res. A1:27-34, 1947.
6. Burstein, D., M. L. Gray, A. L. Hartman, R. Gipe, and B. D. Foy. Diffusion of small solutes in cartilage as measured by nuclear magnetic resonance (NMR) spectroscopy and imaging. J. Orthop. Res. 11:465-478, 1993.
7. 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, A. Ratcliffe, and S. L-Y. Woo. New York: Springer, 1990, pp. 261-282.
8. Garcia, A. M., E. H. Frank, P. E. Grimshaw, and A. J. Grodzinsky. Contributions of fluid convection and electrical migration to transport in cartilage: Relevance to loading. Arch. Biochem. Biophys. 333:317-325, 1996.
9. Grodzinsky, A. J. Electromechanical and physicochemical properties of connective tissue. Crit. Rev. Biomed. Eng. 9:133-199, 1983.
10. Grodzinsky, A. J., M. E. Levenston, M. Jin, and E. H. Frank. Cartilage tissue remodeling in response to mechanical forces. Annu. Rev. Biomed. Eng. 2:691-713, 2000.
11. 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.
12. 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.
13. Gu, W. Y., W. M. Lai, and V. C. Mow. A mixture theory for charged-hydrated soft tissues containing multi-electrolytes: Passive transport and swelling behaviors. J. Biomech. Eng. 120:169-180, 1998.
14. Gu, W. Y., and H. Yao. Effects of hydration and fixed charge density on fluid transport in charged hydrated soft tissue. Ann. Biomed. Eng. 31:1162-1170, 2003.
15. Gu, W. Y., H. Yao, C.-Y. Huang, and H. S. Cheung. New in-sight into deformation-dependent hydraulic permeability of gels and cartilage, and dynamic behavior of agarose gels in confined compression. J. Biomech. 36:593-598, 2003.
16. Hasegawa, I., S. Kuriki, S. Matsuno, and G. Matsumoto. Dependence of electrical conductivity on fixed charge density in articular cartilage. Clin. Orthop. Res. 177:283-288, 1983.
17. Helfferich, F. Ion Exchange. New York: McGraw Hill, 1962.
18. Hirota, N., Y. Kumaki, T. Narita, J. P. Gong, and Y. Osada. Effect of charge on protein diffusion in hydrogels. J. Phys. Chem. B 104:9898-9903, 2000.
19. 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.
20. Huyghe, J. M., and J. D. Janssen. Quadriphasic mechanics of swelling incompressible porous media. Int. J. Eng. Sci. 35:793-802, 1997.
21. Johnson, E. M., D. A. Berk, R. K. Jain, and W. M. Deen. Diffusion and partitioning of proteins in charged agarose gels. Biophys. J. 68:1561-1568, 1995.
22. Johnson, E. M., D. A. Berk, R. K. Jain, and W. M. Deen. Hindered diffusion in agarose gels: Test of effective medium model. Biophys. J. 70:1017-1023, 1996.
23. Katchalsky, A., and P. F. Curran. Nonequilibrium Thermodynamics in Biophysics. Cambridge, MA: Harvard University Press, 1975.
24. 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.
25. Lai, W. M., J. S. Hou, and V. C. Mow. A triphasic theory for the swelling and deformation behaviors of articular cartilage. J. Biomech. Engng. 113:245-258, 1991.
26. Lanir, Y., J. Seybold, R. Schneiderman, and J. M. Huyghe. Partition and diffusion of sodium and chloride ions in soft charged foam: The effect of external salt concentration and mechanical deformation. Tissue Eng. 4:365-378, 1998.
27. Leddy, H. A., and F. Guilak. Site-specific molecular diffusion in articular cartilage measured using fluorescence recovery after photobleaching. Ann. Biomed. Eng. 31:753-760, 2003.
28. Levenston, M. E., S. R., Eisenberg. A. J. Grodzinsky. A variational formulation for coupled physicochemical flows during finite deformations of charged porous media. Int. J. Solids Struct. 35:4999-5019, 1998.
29. Mackie, J. S., and P. Meares. The diffusion of electrolytes in a cation-exchange resin. I. Theoretical. Proc. R. Soc. London A232:498-509, 1955.
30. Mansour, J. M., and V. C. Mow. The permeability of articular cartilage under compressive strain and at high pressures. J. Bone Joint Surg. Am. 58:509-516, 1976.
31. Maroudas, A. Physicochemical properties of cartilage in the light of ion exchange theory. Biophys. J. 8:575-595, 1968.
32. Maroudas, A. Biophysical chemistry of cartilaginous tissues with special reference to solute and fluid transport. Biorheology 12:233-248, 1975.
33. Maroudas, A. Physicochemical properties of articular cartilage. In: Adult Articular Cartilage, 2nd ed. edited by M. A. R. Freeman. Pitman Medical, 1979, pp. 215-290.
34. 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.
35. Masaro, L., and X. X. Zhu. Physical models of diffusion for polymer solutions, gels and solids. Prog. Polym. Sci. 24:731-775, 1999.
36. Mauck, R. L., C. T. Hung, and G. A. Ateshian. Modeling of neutral solute transport in a dynamically loaded porous permeable gel: Implications for articular cartilage biosynthesis and tissue engineering. J. Biomech. Eng. 125:602-614, 2003.
37. Mow, V. C., C. C. Wang, and C. T. Hung. The extracellular matrix, interstitial fluid and ions as a mechanical signal transducer in articular cartilage. Osteoarthritis Cartilage. 7:41-58, 1999.
38. O'Hara, B. P., J. P. Urban, and A. Maroudas. Influence of cyclic loading on the nutrition of articular cartilage. Ann. Rheum. Dis. 49:536-539, 1990.
39. Phillips, R. J., W. M. Deen, and J. F. Brady. Hindered transport of spherical macromolecules in fibrous membranes and gels. AIChE J. 35:1761-1769, 1989.
40. Phillips, R. J., W. M. Deen, and J. F. Brady. Hindered transport in fibrous membranes and gels: Effect of solute size and ribrt configuration. J. Coll. Interf. Sci. 139:363-373, 1990.
41. Pluen, A., P. A. Netti, R. K. Jain, and D. A. Berk. Diffusion of macromolecules in agarose gels: Comparison of linear and globular configuration. Biophys. J. 77:542-552, 1999.
42. Quinn, T. M., P. Kocian, and J. J. Meister. Static compression is associated with decreased diffusivity of dextrans in cartilage explants. Arch. Biochem. Biophys. 384:327-334, 2000.
43. Quinn, T. M., V. Morel, and J. J. Meister. Static compression of articular cartilage can reduce solute diffusivity and partitioning: implications for the chondrocyte biological response. J. Biomech. 34:1463-1469, 2001.
44. Quinn, T. M., C. Studer, A. J. Grodzinsky, and J. J. Meister. Preservation and analysis of nonequilibrium solute concentration distributions within mechanically compressed cartilage explants. J. Biochem. Biophys. Methods 31:83-95, 2002.
45. Schepps, J. L., and K. R. Foster. The UHF and microwave dielectric properties of normal and tumour tissues: Variation in dielectric properties with tissue water content. Phys. Med. Biol. 25:1149-1159, 1980.
46. Torzilli, P. A., T. C. Adams, and R. J. Mis. Transient solute diffusion in articular cartilage. J. Biomech. 20:203-214, 1987.
47. Urban, J. P. G. Fluid and solute transport in the intervertebral disc. PhD Thesis, London University, 1977.
48. 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.
49. Urban, J. P., S. Holm, A. Maroudas, and A. Nachemson. Nutrition of the intervertebral disc: Effect of fluid flow on solute transport. Clin. Orthop. Res. 170:296-302, 1982.
50. 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.