Viscoelastic characterization of mesenchymal gap tissue and consequences for tension accumulation during distraction

Journal of Biomechanical Engineering

Volumn 121, Issue 1, 1999, Pages 116-123

  Richards, M ^a   Wineman, A S ^a   Alsberg, E ^a   Goulet, J A ^a   Goldstein, S A ^a  

^a UNIVERSITY OF MICHIGAN   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ANIMAL CELL CULTURE; MATHEMATICAL MODELS; ORTHOPEDICS; STRESS RELAXATION; TENSILE STRESS; TISSUE CULTURE; VISCOELASTICITY;

OSTEOGENESIS;

BONE;

ANIMAL TISSUE; ARTICLE; BIOMECHANICS; BONE DEVELOPMENT; BONE REGENERATION; BONE STRENGTH; BONE STRESS; LEG LENGTHENING; MESENCHYME; NONHUMAN; RABBIT; STRESS STRAIN RELATIONSHIP; VISCOELASTICITY;

ANIMALS; ELASTICITY; MALE; MODELS, BIOLOGICAL; NONLINEAR DYNAMICS; OSTEOGENESIS, DISTRACTION; RABBITS; STRESS, MECHANICAL; TIBIAL FRACTURES; VISCOSITY;

ANIMALIA; ORYCTOLAGUS CUNICULUS;

EID: 0033082743     PISSN: 01480731     EISSN: 15288951     Source Type: Journal    
DOI: 10.1115/1.2798032     Document Type: Article

References (41)

1. Aronson, J., and Harp, J. H., 1994, “Mechanical Forces as Predictors of Healing During Tibial Lengthening by Distraction Osteogenesis,” Clinical Orthopaedics and Related Research, Vol. 301, pp. 73-79.
2. Bernstein, B., Kearsley, E. A., and Zapas, L. J., 1963, “A Study of Stress Relaxation With Finite Strain,” Transactions, Society of Rheology, Vol. 7, pp. 391-410.
3. Cattaneo, R., Villa, A., Catagni, M. A., et al., 1990, “Lengthening of the Humerus Using the Ilizarov Technique: Description of the Method and Report of 43 Cases,” Clinical Orthopaedics and Related Research, Vol. 250, pp. 117-124.
4. Codivilla, A., 1994, “On the Means of Lengthening, in the Lower Limbs, the Muscles and Tissues Which Are Shortened Through Deformity,” (Historical Article, 1904), Clinical Orthopaedics and Related Research, Vol. 301, pp. 4-9.
5. De la Huerta, F., 1994, “Correction of the Neglected Clubfoot by the Ilizarov Method,” Clinical Orthopaedics and Related Research, Vol. 301, pp. 89-93.
6. Delloye, C., Delefortrie, G., Coutelier, L., et al., 1990, “Bone Regenerate Formation in Cortical Bone During Distraction Lengthening. An Experimental Study,” Clinical Orthopaedics and Related Research, Vol. 250, pp. 34-42.
7. Drozdov, A., 1998, Viscoelastic Structures, Academic Press, New York, pp. 203-210.
8. Dwyer, J. S., Owen, P. J., Evans, G. A., et al., 1996, “Stiffness Measurements to Assess Healing During Leg Lengthening,” Journal of Bone and Joint Surgery, Vol. 78B(2), pp. 286-289.
9. Ferry, J. D., 1966, Viscoelastic Properties of Polymers, Wiley, New York, pp. 276-303.
10. Fung, Y. C., 1967, “Elasticity of Soft Tissues in Simple Elongation,” American Journal of Physiology, Vol. 213(6), pp. 1532-1544.
11. Fung, Y. C., 1973, “Biorheology of Soft Tissues,” Biorheology, Vol. 10(2), pp. 139-155.
12. Green, S. A., Jackson, J. M., Wall, D. M., et al., 1992, “Management of Segmental Defects by the Ilizarov Intercalary Cone Transport Method,” Clinical Orthopaedics and Related Research, Vol. 280, pp. 136-142.
13. Hizarov, G. A., 1989a, “The Tension-Stress Effect on the Genesis and Growth of Tissues. Part I. The Influence of Stability of Fixation and Soft-Tissue Preservation,” Clinical Orthopaedics and Related Research, Vol. 238, pp. 249-281.
14. Hizarov, G. A., 1989b, “The Tension-Stress Effect on the Genesis and Growth of Tissues. Part II. The Influence of the Rate and Frequency of Distraction,” Clinical Orthopaedics and Related Research, Vol. 239, pp. 263-285.
15. Hizarov, G. A., 1990, “Clinical Application of the Tension-Stress Effect for Limb Lengthening,” Clinical Orthopaedics and Related Research, Vol. 250, pp. 8-26.
16. Johnson, G. A., Tramaglini, D. M., Levine, R. E., et al., 1994, “Tensile and Viscoelastic Properties of Human Patellar Tendon,” Journal of Orthopaedic Research, Vol. 12(6), pp. 796-803.
17. Johnson, G. A., Livesay, G. A., Woo, S. L., et al., 1996, “A Single Integral Finite Strain Viscoelastic Model of Ligaments and Tendons,” ASME Journal of Biomechanical Engineering, Vol. 118(2), pp. 221-226.
18. Kawabata, S., and Kawai, H., 1977, “Strain Energy Density Function of Rubber Vulcanisates From Biaxial Extension,” Advances in Polymer Science, Vol. 24, pp. 89-124.
19. Kojimoto, H., Yasui, N., Goto, T., et al., 1988, “Bone Lengthening in Rabbits by Callus Distraction. The Role of Periosteum and Endosteum,” Journal of Bone and Joint Surgery, Vol. 70B(4), pp. 543-549.
20. Kwan, M. K., and Woo, S. L., 1989, “A Structural Model to Describe the Nonlinear Stress-Strain Behavior of Parallel-Fibered Collagenous Tissues,” ASME Journal of Biomechanical Engineering, Vol. III, pp. 361-363.
21. Lai, W. M., Hou, J. S., and Mow, V. C., 1991, “A Triphasic Theory for the Swelling and Deformation Behavior of Articular Cartilage,” ASME Journal of Biomechanical Engineering, Vol. 113(3), pp. 245-258.
22. Lanir, Y., 1983, “Constitutive Equations for Fibrous Connective Tissues,” Journal of Biomechanics, Vol. 16, pp. 1-12.
23. Lee, D. Y., Chung, C. Y., and Choi, I. H., 1993, “Longitudinal Growth of the Rabbit Tibia After Callotasis,” Journal of Bone and Joint Surgery, Vol. 75B, pp. 898-903.
24. Lockett, F. J., 1972, Nonlinear Viscoelastic Solids, Academic Press, New York, pp. 113-133.
25. Mow, V. C., Kuei, S. C., Lai, M. W., et al., 1980, “Biphasic Creep and Stress Relaxation of Articular Cartilage in Compression: Theory and Experiments,” ASME Journal of Biomechanical Engineering, Vol. 102, pp. 73-84.
26. Paley, D., 1988, “Current Techniques of Limb Lengthening,” Journal of Pediatric Orthopaedics, Vol. 8(1), pp. 73-92.
27. Paley, D., Catagni, M. A., Argnani, F., et al., 1989, “Ilizarov Treatment of Tibial Nonunions With Bone Loss,” Clinical Orthopaedics and Related Research, Vol. 241, pp. 146-165.
28. Paley, D., 1990, “Problems, Obstacles, and Complications of Limb Lengthening by the Ilizarov Technique,” Clinical Orthopaedics and Related Research, Vol. 250, pp. 81-104.
29. Aronson, J., Johnson, E., and Harp, J. H., 1989, “Local Bone Transportation for Treatment of Intercalary Defects by the Ilizarov Technique,” Clinical Orthopaedics and Related Research, Vol. 243, pp, 71-79.
30. Paley, D., Catagni, M., Argnani, F., et al., 1992, “Treatment of Congenital Pseudoarthrosis of the Tibia Using the Ilizarov Technique,” Clinical Orthopaedics and Related Research, Vol. 280, pp. 81-93.
31. Pipkin, A. C., and Rogers, T. G., 1968, “A Non-linear Integral Representation for Viscoelastic Behavior,” Journal of Mechanics and Physics of Solids, Vol. 16, pp. 59-72.
32. Richards, M., Weiss, J. A., Alsberg, E., et al., 1996, “Mechanical Strain Environment Controls New Bone Formation During Distraction Osteogenesis,“ASME BED Vol. 33, pp. 377-378.
33. Richards, M., Hernandez, M. J., Weiss, J. A., et al., 1998, “The Large Deformation Behavior of Mesenchymal Distraction Gap Tissue,“ASME Journal of Biomechanical Engineering, submitted, May.
34. Rivlin, R., 1956, “Stress Relaxation in Incompressible Elastic Materials at Constant Deformation,” Quarterly in Applied Mathematics, Vol. XIV, pp. 83-89.
35. Simpson, A. H., Cunningham, J. L., and Kenwright, J., 1996, “The Forces Which Develop in the Tissues During Leg Lengthening. A Clinical Study,” Journal of Bone and Joint Surgery, Vol. 78B(6), pp. 979-983.
36. Waanders, N. A., Richards, M., Steen, H., et al., 1998, “Evaluation of the Mechanical Environment During Distraction Osteogenesis,” Clinical Orthopaedics and Related Research, Vol. 349, pp. 225-234.
37. Waanders, N. A., Senunas, L. E., Steen, H., et al., 1994, “Bone Formation in Distraction Osteogenesis: Histologic and Immunohistologic Findings,” Transactions, Orthopaedic Research Society Meeting, Vol. 19, p. 231, Feb. 21-24, New Orleans, LA.
38. Wiedemann, M., 1996, “Callus Distraction: A New Method? A Historic Review of Limb Lengthening,” Clinical Orthopaedics and Related Research, Vol. 327, pp. 291-304.
39. Woo, S. L., Johnson, G. A., and Smith, B. A., 1993, “Mathematical Modeling of Ligaments and Tendons,” ASME Journal of Biomechanical Engineering, Vol. 115(4B), pp. 468-473.
40. Younger, A. S., Mackenzie, W. G., and Morrison, J. B., 1994, “Femoral Forces During Limb Lengthening in Children,” Clinical Orthopaedics and Related Research, Vol. 301, pp. 55-63.
41. Zapas, L. J., 1966, “Viscoelastic Behavior Under Large Deformations,” Journal of Research of Natural Bureau of Standards, Vol. 70A, pp. 525-532.