• Journal Logo

Table of Content

Open Access iconOpen Access

ARTICLE

Fixed Electrical Charges and Mobile Ions Affect the Measurable Mechano-Electrochemical Properties of Charged-Hydrated Biological Tissues: The Articular Cartilage Paradigm

Leo Q. Wan1,1, Chester Miller1,1, X. Edward Guo2,2, Van C. Mow1,1,3,3

The Liu Ping Laboratory for Functional Tissue Engineering Re-search
Bone Bioengineering Laboratory Department of Biomedical Engineering, Columbia University, New York, NY
Stanley Dicker Professor and Chair Department of Biomedical Engineering Columbia University, 351 Engineering Terrace 500 West
20 th Street New York, NY 10027 Telephone: (212) 854-8462 Fax:(212) 854-8725 Email: vcm1@columbia.edu

Molecular & Cellular Biomechanics 2004, 1(1), 81-100. https://doi.org/10.3970/mcb.2004.001.081

Abstract

The triphasic constitutive law [Lai, Hou and Mow (1991)] has been shown in some special 1D cases to successfully model the deformational and transport behaviors of charged-hydrated, porous-permeable, soft biological tissues, as typified by articular cartilage. Due to nonlinearities and other mathematical complexities of these equations, few problems for the deformation of such materials have ever been solved analytically. Using a perturbation procedure, we have linearized the triphasic equations with respect to a small imposed axial compressive strain, and obtained an equilibrium solution, as well as a short-time boundary layer solution for the mechano- electrochemical (MEC) fields for such a material under a 2D unconfined compression test. The present results show that the key physical parameter determining the deformational behaviors is the ratio of the perturbation of osmotic pressure to elastic stress, which leads to changes of the measurable elastic coefficients. From the short-time boundary layer solution, both the lateral expansion and the applied load are found to decrease with the square root of time. The predicted deformations, flow fields and stresses are consistent with the analysis of the short time and equilibrium biphasic (i.e., the solid matrix has no attached electric charges) [Armstrong, Lai and Mow (1984)]. These results provide a better understanding of the manner in which fixed electric charges and mobile ions within the tissue contribute to the observed material responses.

Keywords


Cite This Article

APA Style
Wan, L.Q., Miller, C., Guo, X.E., Mow, V.C. (2004). Fixed electrical charges and mobile ions affect the measurable mechano-electrochemical properties of charged-hydrated biological tissues: the articular cartilage paradigm. Molecular & Cellular Biomechanics, 1(1), 81-100. https://doi.org/10.3970/mcb.2004.001.081
Vancouver Style
Wan LQ, Miller C, Guo XE, Mow VC. Fixed electrical charges and mobile ions affect the measurable mechano-electrochemical properties of charged-hydrated biological tissues: the articular cartilage paradigm. Mol Cellular Biomechanics . 2004;1(1):81-100 https://doi.org/10.3970/mcb.2004.001.081
IEEE Style
L.Q. Wan, C. Miller, X.E. Guo, and V.C. Mow "Fixed Electrical Charges and Mobile Ions Affect the Measurable Mechano-Electrochemical Properties of Charged-Hydrated Biological Tissues: The Articular Cartilage Paradigm," Mol. Cellular Biomechanics , vol. 1, no. 1, pp. 81-100. 2004. https://doi.org/10.3970/mcb.2004.001.081



cc This work is licensed under a Creative Commons Attribution 4.0 International License , which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
  • 1064

    View

  • 880

    Download

  • 0

    Like

Share Link