A microstructural model for the elastic response of articular cartilage

Schwartz, M. H.; Leo, P. H.; Lewis, J. L.

Affiliations

¹Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455, U.S.A.

²Department of Aerospace Engineering and Mechanics, University of Minnesota, Minneapolis, MN 55455, U.S.A.

³Departments of Orthopaedic Surgery and Mechanical Engineering, University of Minnesota, Minneapolis, MN 55455, U.S.A.

Abstract

A model of articular cartilage is developed in which the continuum stiffness tensor is related to the tissue's microstructure. The model consists of bilinear elastic fibers embedded in an elastic matrix. Homogenization techniques are used to relate this level of organization to the macroscopic response of the tissue. The model includes the effects of spatial orientation of fibers, pre-stress in the fibers and matrix resulting from matrix swelling, slipping at the interface between the fibers and the matrix, fiber buckling in compression, and deformation-induced fiber reorientation. The model predicts increased axial stiffness with increasing stretch due to fiber reorientation, reduced axial and shear stiffness with slipping between fiber and matrix and a sensitivity of the tissue response to the swelling pressure in the matrix, the matrix modulus and the bonding of the fiber matrix interface.

Links

DOI: 10.1016/0021-9290(94)90259-3

PubMed: 8063837

WoS: A1994NQ27000001

History

Revised: 1993-10-11

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Cited By (29)

Year	Entry
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2001	Wang C. Digital Video Microscopy-Based Determination of Cartilage Inhomogeneity, Anisotropy and Tension -Compression Nonlinearity: Implications on Chondrocyte Environment [PhD thesis]. Columbia University; 2001.
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1994	Li X. A Criterion to Predict Damage in Articular Cartilage Due to Blunt Impact [PhD thesis]. East Lansing, MI: Michigan State University; 1994.
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2008	Revell CM. Characterization of Chondrocytic Differentiation and Optimization of a Self-Assembling Process for Tissue Engineering of Articular Cartilage [PhD thesis]. Houston, TX: Rice University; April 2008.
2011	Eleswarapu SV. Multiscale Strategies for Cartilage Repair [PhD thesis]. Houston, TX: Rice University; October 2011.
2011	Responte DJ. Novel Exogenous Agents for Improving Articular Cartilage Tissue Engineering [PhD thesis]. Houston, TX: Rice University; October 2011.
2019	Rahimi A. Simulation of the Acoustic Pressure Field and Study of Cellular Responses of Osteoprogenitors Using Low-Intensity Pulsed Ultrasound Treatment in an in Vitro Ultrasound Bioreactor [PhD thesis]. St. Louis, MO: Saint Louis University; 2019.
1997	Wren TAL. Structure-Function Relationships for Soft Skeletal Connective Tissues [PhD thesis]. Stanford University; June 1997.
2014	MacBarb RF. A Scaffold-Free Approach to Optimizing a Biomimetic TMJ Disc [PhD thesis]. Davis, University of California; 2014.
1997	Schinagl RM. Depth-Dependent Compressive Properties and Cell Adhesion in Articular Cartilage Repair [PhD thesis]. San Diego (UCSD), University of California; 1997.
1999	Chang DG. Structure and Function Relationships of Articular Cartilage in Osteoarthritis [PhD thesis]. San Diego (UCSD), University of California; 1999.
2000	Fedewa MM. Determinants of Microstructural Load Transfer in Cartilage Tissue from Chondrocyte Culture [PhD thesis]. University of Minnesota; August 2000.
2012	Chiravarambath SS. Finite Element Modeling of Articular Cartilage At Different Length Scales [PhD thesis]. University of Minnesota; April 2012.
2022	Blázquez Carmona P. Mechanobiology of Bone Regeneration: Distraction Osteogenesis and Tissue Engineering [PhD thesis]. Universidad de Sevilla; 2022.
2009	Forman J. The Structural Characteristics of the Costal Cartilage: The Roles of Calcification and the Perichondrium, and the Representation of the Costal Cartilage in Finite Element Models of the Human Body [PhD thesis]. Charlottesville, VA: University of Virginia; August 2009.