期刊
ANNALS OF BIOMEDICAL ENGINEERING
卷 32, 期 12, 页码 1710-1717出版社
SPRINGER
DOI: 10.1007/s10439-004-7823-4
关键词
ion diffusion; diffusion coefficient; electrical conductivity; agarose gel; annulus fibrosus; intervertebral disc; tissue porosity
资金
- NIAMS NIH HHS [AR46860] Funding Source: Medline
The effect of tissue porosity on ion (sodium, potassium, and chloride) diffusivity in agarose gels and porcine intervertebral disc tissues was investigated using an electrical conductivity method. An empirical, constitutive model for diffusivity (D) of solutes in porous fibrous media was proposed: D/D-0 = exp[-alpha(r(s)/kappa(1/2))(beta)] where r(s) is the Stokes radius of a solute, kappa is the Darcy penneability of the porous medium, D-0 is the diffusivity in free solution, a and are two positive parameters whose values depend on material structure. It is found that alpha = 1.25 +/- 0.138, beta = 0.681 +/- 0.059 (95% confidence interval, R-2 = 0.92, n = 72) for agarose gels and alpha = 1.29 +/- 0.171 and beta = 0.372 +/- 0.088 (95% confidence interval, R-2 = 0.88, n = 86) for porcine annulus fibrosus. The functional relationship between solute diffusivity and tissue deformation was derived. Comparisons of our model prediction with experimental data on diffusion coefficients of macromolecules (proteins, dextrans, polymer beads) in agarose gels in the literature were made. Our results were also compared to the data on ion diffusivity in charged gels and in cartilaginous tissues reported in the literature. There was a good agreement between our model prediction and the data in the literature. The present study provides additional information on solute diffusivity in uncharged gels and charged tissues, and is important for understanding nutritional transport in avascular cartilaginous tissues under different mechanical loading conditions.
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