Modeling the Matrix of Articular Cartilage Using a Continuous Fiber Angular Distribution Predicts Many Observed Phenomena
- 21 April 2009
- journal article
- research article
- Published by ASME International in Journal of Biomechanical Engineering
- Vol. 131 (6), 061003
- https://doi.org/10.1115/1.3118773
Abstract
Cartilage is a hydrated soft tissue whose solid matrix consists of negatively charged proteoglycans enmeshed within a fibrillar collagen network. Though many aspects of cartilage mechanics are well understood today, most notably in the context of porous media mechanics, there remain a number of responses observed experimentally whose prediction from theory has been challenging. In this study the solid matrix of cartilage is modeled with a continuous fiber angular distribution, where fibers can only sustain tension, swelled by the osmotic pressure of a proteoglycan ground matrix. It is shown that this representation of cartilage can predict a number of observed phenomena in relation to the tissue’s equilibrium response to mechanical and osmotic loading, when flow-dependent and flow-independent viscoelastic effects have subsided. In particular, this model can predict the transition of Poisson’s ratio from very low values in compression (∼0.02) to very high values in tension (∼2.0). Most of these phenomena cannot be explained when using only three orthogonal fiber bundles to describe the tissue matrix, a common modeling assumption used to date. The main picture emerging from this analysis is that the anisotropy of the fibrillar matrix of articular cartilage is intimately dependent on the mechanism of tensed fiber recruitment, in the manner suggested by our recent theoretical study (Ateshian, 2007, ASME J. Biomech. Eng., 129(2), pp. 240–249).Keywords
This publication has 59 references indexed in Scilit:
- Heterogeneous transmural proteoglycan distribution provides a mechanism for regulating residual stresses in the aortaAmerican Journal of Physiology-Heart and Circulatory Physiology, 2008
- Equivalence Between Short-Time Biphasic and Incompressible Elastic Material ResponsesJournal of Biomechanical Engineering, 2006
- Anisotropy of Fibrous Tissues in Relation to the Distribution of Tensed and Buckled FibersJournal of Biomechanical Engineering, 2006
- Dynamic Response of Immature Bovine Articular Cartilage in Tension and Compression, and Nonlinear Viscoelastic Modeling of the Tensile ResponseJournal of Biomechanical Engineering, 2006
- Biphasic Poroviscoelastic Simulation of the Unconfined Compression of Articular Cartilage: I—Simultaneous Prediction of Reaction Force and Lateral DisplacementJournal of Biomechanical Engineering, 2000
- A Triphasic Theory for the Swelling and Deformation Behaviors of Articular CartilageJournal of Biomechanical Engineering, 1991
- Constitutive Equations for the Lung TissueJournal of Biomechanical Engineering, 1983
- Oscillatory Compressional Behavior of Articular Cartilage and Its Associated Electromechanical PropertiesJournal of Biomechanical Engineering, 1981
- The Significance of Electromechanical and Osmotic Forces in the Nonequilibrium Swelling Behavior of Articular Cartilage in TensionJournal of Biomechanical Engineering, 1981
- Biphasic Creep and Stress Relaxation of Articular Cartilage in Compression: Theory and ExperimentsJournal of Biomechanical Engineering, 1980