Application of a probabilistic microstructural model to determine reference length and toe-to-linear region transition in fibrous connective tissue

Journal of Biomechanical Engineering

Volumn 125, Issue 3, 2003, Pages 415-422

  Hurschler, Christof ^a,b   Provenzano, Paolo P ^a   Vanderby Jr , Ray ^a  

^a UNIVERSITY OF WISCONSIN MADISON   (United States)

^b HANNOVER MEDICAL SCHOOL   (Germany)

Author keywords

[No Author keywords available]

Indexed keywords

MATHEMATICAL MODELS; MICROSTRUCTURE; PROBABILITY DISTRIBUTIONS; STRAIN; STRESS ANALYSIS; WEIBULL DISTRIBUTION;

SOFT TISSUES;

TENDONS;

ARTICLE; CALCULATION; CONNECTIVE TISSUE; DENSITY; FIBROUS TISSUE; MATHEMATICAL ANALYSIS; MEASUREMENT; MODEL; PROBABILITY;

ANIMALS; COMPUTER SIMULATION; CONNECTIVE TISSUE; ELASTICITY; HUMANS; LINEAR MODELS; MODELS, BIOLOGICAL; MODELS, STATISTICAL; REFERENCE VALUES; RESEARCH; STRESS, MECHANICAL; TENDONS; WEIGHT-BEARING;

EID: 0038374160     PISSN: 01480731     EISSN: None     Source Type: Journal    
DOI: 10.1115/1.1579046     Document Type: Article

References (26)

1. Lam, T. C., Shrive, N. G., and Frank, C. B., 1995, "Variations in Rupture Site and Surface Strains at Failure in the Maturing Rabbit Medial Collateral Ligament," ASME J. Biomech. Eng., 117(4), pp. 455-461.
2. Chimich, D., Frank, C., Shrive, N., Dougall, H., and Bray, R., 1991, "The Effects of Initial End Contact on Medial Collateral Ligament Healing: A Morphological and Biomechanical Study in a Rabbit Model," J. Orthop. Res., 9(1), pp. 37-47.
3. Przybylski, G. J., Carlin, G. J., Patel, P. R., and Woo, S. L., 1996, "Human Anterior and Posterior Cervical Longitudinal Ligaments Possess Similar Tensile Properties," J. Orthop. Res., 14(6), pp. 1005-1008.
4. Sabiston, P., Frank, C., Lam, T., and Shrive, N., 1990, "Transplantation of the Rabbit Medial Collateral Ligament. I. Biomechanical Evaluation of Fresh Autografts," J. Orthop. Res., 8(1), pp. 35-45.
5. Woo, S. L., Gomez, M. A., Inoue, M., and Akeson, W. H., 1987, "New Experimental Procedures to Evaluate the Biomechanical Properties of Healing Canine Medial Collateral Ligaments," J. Orthop. Res., 5(3), pp. 425-432.
6. Hull, M. L., Berns, G. S., Varma, H., and Patterson, H. A., 1996, "Strain in the Medial Collateral Ligament of the Human Knee Under Single and Combined Loads," [erratum appears in J. Biomech, 29(8), pp. 1115]; J. Biomech., 29(2), pp. 199-206.
7. Fleming, B. C., Beynnon, B. D., Tohyama, H., Johnson, R. J., Nichols, C. E., Renstrom, P., and Pope, M. H., 1994, "Determination of a Zero Strain Reference for the Anteromedial Band of the Anterior Cruciate Ligament," J. Orthop. Res., 12(6), pp. 789-795.
8. Belkoff, S. M., and Haut, R. C., 1991, "A Structural Model Used to Evaluate the Changing Microstructure of Maturing Rat Skin," J. Biomech., 24(8), pp. 711-720.
9. Belkoff, S. M., and Haut, R. C., 1992, "Microstructurally Based Model Analysis of Gamma-Irradiated Tendon Allografts," J. Orthop. Res., 10(3), pp. 461-464.
10. Kastelic, J., Palley, I., and Baer. E., 1980. "A Structural Mechanical Model for Tendon Crimping," J. Biomech., 13(10), pp. 887-893.
11. Hurschler, C., Loitz-Ramage, B., and Vanderby, Jr., R., 1997, "A Structurally Based Stress-Stretch Relationship for Tendon and Ligament." ASME J. Biomech. Eng., 119(4), pp. 392-399.
12. Lanir, Y., 1979, "A Structural Theory for the Homogeneous Biaxial Stress-Strain Relationships in Flat Collagenous Tissues." J. Biomech., 12(6), pp. 423-436.
13. Lanir, Y., 1963, "Constitutive Equations for Fibrous Connective Tissues, J. Biomech., 16(1), pp. 1-12.
14. Kwan, M. K., and Woo, S. L., 1989, "A Structural Model to Describe the Nonlinear Stress-Strain Behavior for Parallel-Fibered Collagenous Tissues." ASME J. Biomech. Eng., 111(4), pp. 361-363.
15. Viidik, A., 1972, "Simultaneous Mechanical and Light Microscopic Studies of Collagen Fibers," Z. Anat. Entwicklungsgesch, 136(2), pp. 204-212.
16. Sacks, M. S., 2001, "A Structural Constitutive Model for Planar Collagenous Tissues That Integrates Sals-Derived Fiber Orientation Data," Advances in Bioengineering, 51, ASME, New York.
17. Hurschler, C., Provenzano, P. P., Vanderby, Jr., R., 1998, "Scanning Electron Microscopic Investigation of Healing and Normal Rat Medial Collateral Ligaments Fixed Under Slack and Loaded Conditions," Trans, Orthop. Res. Soc., 23. pp. 1032.
18. Panjabi, M. M., Yoldas, E., Oxland, T. R., and Crisco. 3rd, J. J., 1996. "Sub-failure Injury of the Rabbit Anterior Cruciate Ligament," J. Orthop. Res., 14(2), pp. 216-227.
19. Weibull, W., 1951, "A Statistical Distribution Function of Wide Applicability." ASME J. Appl. Mech., 18(3), pp. 293-297.
20. Hines, W. W., and Montgomery, D. C., 1980, Probtibility and Statistics in Engineering and Management Science, John Wiley and Sons, New York.
21. Abrahams, M., 1967, "Mechanical Behavior of Tendon in Vitro: A Preliminary Report," Med. Biol. Eng., 5, pp. 433-443.
22. Provenzano, P. P., Heisey, D., Haysashi, K., Lakes, R. S., and Vanderby, Jr., R., 2002, "Sub-Failure Damage in Ligament: A Structural and Cellular Evaluation," J. Appl. Physiol., (1), pp. 362-371.
23. Hansen, K. A., Weiss, J. A., and Barton. J. K., 2002, "Recruitment of Tendon Crimp With Applied Tensile Strain," ASME J. Biomech. Eng., 124(1), pp. 72-77.
24. Kato, Y. P., Christiansen, D. L., Hahn, R. A., Shieh, S.-J., Goldstein, J. D., and Silver, F. H., 1989, "Mechanical Properties of Collagen Fibers: A Comparison of Reconstituted and Rat Tail Tendon Fibers," Biomaterials, 10, pp. 38-42.
25. Sasaki, N., and Odajima, S., 1996, "Elongation Mechanism of Collagen Fibrils and Force-Strain Relations of Tendon at Each Level of Structural Hierarchy," J. Biomech., 29(9), pp. 1131-1136.
26. Sasaki, N., and Odajima, S., 1996, "Stress-Strain Curve and Young's Modulus of a Collagen Molecule as Determined by The X-Ray Diffraction Technique," J. Biomech., 29(5), pp. 655-658.