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 language | English (US) |
|---|---|
| Title of host publication | American Society of Mechanical Engineers, Applied Mechanics Division, AMD |
| Publisher | Publ by ASME |
| Pages | 29-41 |
| Number of pages | 13 |
| Volume | 136 |
| State | Published - 1992 |
| Externally published | Yes |
| Event | ASME Summer Mechanics and Materials Conferences - Tempe, AZ, USA Duration: Apr 28 1992 → May 1 1992 |
Other
| Other | ASME Summer Mechanics and Materials Conferences |
|---|---|
| City | Tempe, AZ, USA |
| Period | 4/28/92 → 5/1/92 |
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ASJC Scopus subject areas
- Mechanical Engineering
Cite this
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 proceeding › Conference contribution
}
TY - GEN
T1 - Analysis of fluid and ion transport through a porous charged-hydrated biological tissue during a permeation experiment
AU - Gu, Weiyong
AU - Lai, W. M.
AU - Mow, V. C.
PY - 1992
Y1 - 1992
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0026487494&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=0026487494&partnerID=8YFLogxK
M3 - Conference contribution
AN - SCOPUS:0026487494
VL - 136
SP - 29
EP - 41
BT - American Society of Mechanical Engineers, Applied Mechanics Division, AMD
PB - Publ by ASME
ER -