Analysis of fluid and ion transport through a porous charged-hydrated biological tissue during a permeation experiment

Weiyong Gu, W. M. Lai, V. C. Mow

Research output: Chapter in Book/Report/Conference proceedingConference contribution

2 Citations (Scopus)

Abstract

Using our new triphasic mechano-electrochemical theory (Lai et al., 1991), we analyzed the transport of water and ions through a finite-thickness layer of charged-hydrated soft tissue (e.g., articular cartilage) in a one-dimensional steady permeation experiment. For this problem, we obtained numerically the concentrations of the ions, the strain field and the fluid and ion velocities inside when the specimen is subject to an applied mechanical pressure and/or osmotic pressure across the layer. The relationships giving the dependence of streaming potential and permeability on the negative fixed charge density (FCD) of the tissue were derived analytically for the linear case, and calculated for the nonlinear case. Among the results obtained were: 1) At a fluid pressure difference of 1 atm across the specimen layer, there is a 10% flow-induced compaction at the downstream boundary; 2) The flow-induced compaction causes the FCD to increase and the neutral salt concentration to decrease in the downstream direction; 3) While both ions move downstream, relative to the solvent (water), the anions (Cl -) move with the flow whereas cations (Na +) move against the flow. The difference in ion velocities depends on the FCD, and this difference attained a maximum at a physiological FCD of around 0.2 mEq/ml; 4) The apparent permeability decreases nonlinearly with FCD, and the apparent stiffness of the tissue increases with FCD; and 5) The streaming potential has a maximum value at FCD within the physiological range.

Original languageEnglish (US)
Title of host publicationAmerican Society of Mechanical Engineers, Applied Mechanics Division, AMD
PublisherPubl by ASME
Pages29-41
Number of pages13
Volume136
StatePublished - 1992
Externally publishedYes
EventASME Summer Mechanics and Materials Conferences - Tempe, AZ, USA
Duration: Apr 28 1992May 1 1992

Other

OtherASME Summer Mechanics and Materials Conferences
CityTempe, AZ, USA
Period4/28/925/1/92

Fingerprint

Charge density
Permeation
Tissue
Fluids
Ions
Experiments
Compaction
Cartilage
Water
Negative ions
Positive ions
Stiffness
Salts

ASJC Scopus subject areas

  • Mechanical Engineering

Cite this

Gu, W., Lai, W. M., & Mow, V. C. (1992). Analysis of fluid and ion transport through a porous charged-hydrated biological tissue during a permeation experiment. In American Society of Mechanical Engineers, Applied Mechanics Division, AMD (Vol. 136, pp. 29-41). Publ by ASME.

Analysis of fluid and ion transport through a porous charged-hydrated biological tissue during a permeation experiment. / Gu, Weiyong; Lai, W. M.; Mow, V. C.

American Society of Mechanical Engineers, Applied Mechanics Division, AMD. Vol. 136 Publ by ASME, 1992. p. 29-41.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Gu, W, Lai, WM & Mow, VC 1992, Analysis of fluid and ion transport through a porous charged-hydrated biological tissue during a permeation experiment. in American Society of Mechanical Engineers, Applied Mechanics Division, AMD. vol. 136, Publ by ASME, pp. 29-41, ASME Summer Mechanics and Materials Conferences, Tempe, AZ, USA, 4/28/92.
Gu W, Lai WM, Mow VC. Analysis of fluid and ion transport through a porous charged-hydrated biological tissue during a permeation experiment. In American Society of Mechanical Engineers, Applied Mechanics Division, AMD. Vol. 136. Publ by ASME. 1992. p. 29-41
Gu, Weiyong ; Lai, W. M. ; Mow, V. C. / Analysis of fluid and ion transport through a porous charged-hydrated biological tissue during a permeation experiment. American Society of Mechanical Engineers, Applied Mechanics Division, AMD. Vol. 136 Publ by ASME, 1992. pp. 29-41
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