A cartilage growth mixture (CGM) model is proposed to address limitations of a model used in a previous study. New stress constitutive equations for the solid matrix are derived and collagen (COL) remodeling is incorporated into the CGM model by allowing the intrinsic COL material constants to evolve during growth. An analytical validation protocol based on experimental data from a recent in vitro growth study is developed. Available data included measurements of tissue volume, biochemical composition, and tensile modulus for bovine calf articular cartilage (AC) explants harvested at three depths and incubated for in 20% fetal borine serum (FBS) and 20% -aminopropionitrile. The proposed CGM model can match tissue biochemical content and volume exactly while predicting theoretical values of tensile moduli that do not significantly differ from experimental values. Also, theoretical values of a scalar COL remodeling factor are positively correlated with COL cross-link content, and mass growth functions are positively correlated with cell density. The results suggest that the CGM model may help us to guide in vitro growth protocols for AC tissue via the a priori prediction of geometric and biomechanical properties.
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June 2008
Research Papers
A Cartilage Growth Mixture Model With Collagen Remodeling: Validation Protocols
Stephen M. Klisch,
Stephen M. Klisch
Associate Professor
Department of Mechanical Engineering,
California Polytechnic State University
, San Luis Obispo, CA 93407
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Anna Asanbaeva,
Anna Asanbaeva
Department of Bioengineering, and Whitaker Institute of Biomedical Engineering,
University of California-San Diego
, La Jolla, CA 92093
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Sevan R. Oungoulian,
Sevan R. Oungoulian
Department of Mechanical Engineering,
California Polytechnic State University
, San Luis Obispo, CA 93407
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Koichi Masuda,
Koichi Masuda
Departments of Orthopedic Surgery and Biochemistry,
Rush University Medical Center
, Chicago, IL 60612
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Eugene J.-MA. Thonar,
Eugene J.-MA. Thonar
Departments of Orthopedic Surgery and Biochemistry, and Department of Internal Medicine,
Rush University Medical Center
, Chicago, IL 60612
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Andrew Davol,
Andrew Davol
Departments of Mechanical Engineering,
California Polytechnic State University
, San Luis Obispo, CA 93407
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Robert L. Sah
Robert L. Sah
Department of Bioengineering, and Whitaker Institute of Biomedical Engineering,
University of California-San Diego
, La Jolla, CA 92093
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Stephen M. Klisch
Associate Professor
Department of Mechanical Engineering,
California Polytechnic State University
, San Luis Obispo, CA 93407
Anna Asanbaeva
Department of Bioengineering, and Whitaker Institute of Biomedical Engineering,
University of California-San Diego
, La Jolla, CA 92093
Sevan R. Oungoulian
Department of Mechanical Engineering,
California Polytechnic State University
, San Luis Obispo, CA 93407
Koichi Masuda
Departments of Orthopedic Surgery and Biochemistry,
Rush University Medical Center
, Chicago, IL 60612
Eugene J.-MA. Thonar
Departments of Orthopedic Surgery and Biochemistry, and Department of Internal Medicine,
Rush University Medical Center
, Chicago, IL 60612
Andrew Davol
Departments of Mechanical Engineering,
California Polytechnic State University
, San Luis Obispo, CA 93407
Robert L. Sah
Department of Bioengineering, and Whitaker Institute of Biomedical Engineering,
University of California-San Diego
, La Jolla, CA 92093J Biomech Eng. Jun 2008, 130(3): 031006 (11 pages)
Published Online: April 25, 2008
Article history
Received:
January 22, 2007
Revised:
December 12, 2007
Published:
April 25, 2008
Citation
Klisch, S. M., Asanbaeva, A., Oungoulian, S. R., Masuda, K., Thonar, E. J., Davol, A., and Sah, R. L. (April 25, 2008). "A Cartilage Growth Mixture Model With Collagen Remodeling: Validation Protocols." ASME. J Biomech Eng. June 2008; 130(3): 031006. https://doi.org/10.1115/1.2907754
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