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On the State of Stress in the Growth Plate under Physiologic Compressive Loading

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DOI: 10.4236/ojbiphy.2014.41003    3,461 Downloads   6,721 Views   Citations

ABSTRACT

The growth plate is a thin layer of cartilage sandwiched between epiphyseal and metaphyseal bone and is the location of active bone growth during childhood. It is subjected to large compressive and shear forces while protecting its resident chondrocytes from damage. We believe that computational modeling can help us better understand how the macro-scale loads are transmitted to micro-scale stresses and strains within the growth plate cartilage. As a first step in this process we analyzed the mechanical response of compression experiments performed on bovine bone/growth plate/bone samples. We endeavored to estimate the modulus of elasticity of the growth plate itself by simulating the compression experiments of these specimens using the finite element method. It is shown that when the growth plate in the compression specimens was modeled as a flat layer, the state of stress in the cartilage was triaxial and non-uniform with the hydrostatic stress being much greater than the octahedral shear stress over most of the central region of the growth plate test samples. The computational models accounted for variations in the average cartilage thickness, the non-uniaxial, non-uniform and triaxial state of stress in the thin cartilage layer, and for the estimated extrinsic compliance resulting from compression of the variable heights of bone on either side of the growth plate cartilage. However, due to lack of information on the internal structure of each sample, the models did not account for the variations in the non-flat topography of the growth plates. The models also did not include the calcified cartilage layer. Further model development is recommendedin order to determine the degree to which accounting for the complex growth plate topography influences the predicted cartilage modulus of elasticity.

Conflicts of Interest

The authors declare no conflicts of interest.

Cite this paper

J. Gao, J. Williams and E. Roan, "On the State of Stress in the Growth Plate under Physiologic Compressive Loading," Open Journal of Biophysics, Vol. 4 No. 1, 2014, pp. 13-21. doi: 10.4236/ojbiphy.2014.41003.

References

[1] I. Villemure and I. A. F. Stokes, “Growth Plate Mechanics and Mechanobiology. A Survey of Present Understanding,” Journal of Biomechanics, Vol. 42, No. 12, 2009, pp. 1793-1803. http://dx.doi.org/10.1016/j.jbiomech.2009.05.021
[2] J. P. Iannotti, S. Goldstein, J. Kuhn, L. Lipiello, F. S. Kaplan and D. J. Zaleske, “The Formation and Growth of Skeletal Tissue,” In: J. A. Buckwalter, T. A. Einhorn, S. R. Simon, et al., Eds., Orthopaedic Basic Science. Biology and Biomechanics of the Musculoskeletal System Basic Science. Biology and Biomechanics of the Musculoskeletal System, American Academy of Orthopaedic Surgeons, 2000, pp. 77-109.
[3] I. A. F. Stokes, “Mechanical Effects on Skeletal Growth,” Journal of Musculoskeletal and Neuronal Interactions, Vol. 2, No. 3, 2002, pp. 277-280.
[4] R. Hall, “A Mathematical Model for Longitudinal Bone Growth,” Master Thesis, Oxford University, Oxford, 2000.
[5] C. Hueter, “Anatomische Studien an den Extremitaeten-gelenken Neugeborener und Erwachsener,” Archiv für Pathologische Anatomie und Physiologie und für Klinische Medicin, Vol. 25, No. 5-6, 1862, pp. 572-599.
[6] R. Volkmann, “Verletzungen und Kankenheiten der Bewegungsorgane,” In: F. R. von Pitha and T. Billroth, Eds., Handbuch der Allgemeinen und Speciellen Chirurgie Bd II Teil II, Ferdinand Enke, Stuttgart, 1882.
[7] H. M. Frost, “Defining Osteopenias and Osteoporoses: Another View (with Insights from a New Paradigm),” Bone, Vol. 20, No. 5, 1997, pp. 385-391. http://dx.doi.org/10.1016/S8756-3282(97)00019-7
[8] D. R. Carter and M. Wong, “Modelling Cartilage Mechanobiology,” Philosophical Transactions of the Royal Society of London Series B—Biological Sciences, Vol. 358, No. 1437, 2003, pp. 1461-1471. http://dx.doi.org/10.1098/rstb.2003.1346
[9] D. R. Carter and M. Wong, “The Role of Mechanical Loading Histories in the Development of Diarthrodial Joints,” Journal of Orthopaedic Research, Vol. 6, No. 6, 1988, pp. 804-816. http://dx.doi.org/10.1002/jor.1100060604
[10] H. M. Frost, “Skeletal Structural Adaptations to Mechanical Usage (SATMU). 3. The Hyaline Cartilage Modeling Problem. Anatomical Record,” The Anatomical Record, Vol. 226, No. 4, 1990, pp. 423-432. http://dx.doi.org/10.1002/ar.1092260404
[11] J. J. Mao and H. D. Nah, “Growth and Development: Hereditary and Mechanical Modulations,” American Journal of Orthodontics and Dentofacial Orthopedics, Vol. 125, No. 6, 2004, pp. 676-689. http://dx.doi.org/10.1016/j.ajodo.2003.08.024
[12] G. H. Thompson and J. R. Carter, “Late-Onset Tibia Vara (Blount’s Disease)—Current Concepts,” Clinical Orthopaedics and Related Research, Vol. 255, 1990, pp. 24-35.
[13] J. C. Tutorino, Z. G. Khubchandani, J. L. Williams, C. M. Cobb and T. L. Schmidt, “Can The Epiphyseal Growth Plate be Injured in Compression?” In: B. S. Trippel, Ed., Transactions of the 47th Annual Meeting of the Orthopaedic Research Society, Vol. 26, Orthopaedic Research Society, Rosemont, IL, 2001, p. 353.
[14] S. Piszczatowski, “Material Aspects of Growth Plate Modelling Using Carter’s and Stokes’s Approaches,” Acta of Bioengineering and Biomechanics, Vol. 13, No. 3, 2011, pp. 3-14.
[15] S. Piszczatowski, “Geometrical Aspects of Growth Plate Modelling Using Carter’s and Stokes’s Approaches,” Acta of Bioengineering and Biomechanics, Vol. 14, No. 1, 2012, pp. 93-106.
[16] K. Sergerie, M. O. Lacoursiere, M. Levesque and I. Villemure, “Mechanical Properties of the Porcine Growth Plate and Its Three Zones from Unconfined Compression Tests,” Journal of Biomechanics, Vol. 42, No. 4, 2009, pp. 510-516. http://dx.doi.org/10.1016/j.jbiomech.2008.11.026
[17] B. Cohen, W. M. Lai and V. C. Mow, “A Transversely Isotropic Biphasic Model for Unconfined Compression of Growth Plate and Chondroepiphysis,” Journal of Biomechanical Engineering-Transactions of the ASME, Vol. 120, No. 4, 1998, pp. 491-496. http://dx.doi.org/10.1115/1.2798019
[18] P. Radhakrishnan, N. T. Lewis and J. J. Mao, “Zone-Specific Micromechanical Properties of the Extracellular Matrices of Growth Plate Cartilage,” Annals of Biomedical Engineering, Vol. 32, No. 2, 2004, pp. 284-291. http://dx.doi.org/10.1023/B:ABME.0000012748.41851.b4
[19] G. A. Laughlin, J. L. Williams and J. D. Eick, “The Influence of System Compliance and Sample Geometry on Composite Polymerization Shrinkage Stress,” Journal of Biomedical Materials Research, Vol. 63, No. 5, 2002, pp. 671-678. http://dx.doi.org/10.1002/jbm.10386
[20] E. A. Martin, E. L. Ritman and R. T. Turner, “Time Course of Epiphyseal Growth Plate Fusion in Rat Tibiae,” Bone, Vol. 32, No. 3, 2003, pp. 261-267. http://dx.doi.org/10.1016/S8756-3282(02)00983-3
[21] B. Cohen, G. S. Chorney, D. P. Phillips, H. M. Dick and V. C. Mow, “Compressive Stress-Relaxation Behavior of Bovine Growth-Plate May Be Described by the Nonlinear Biphasic Theory,” Journal of Orthopaedic Research, Vol. 12, No. 6, 1994, pp. 804-813. http://dx.doi.org/10.1002/jor.1100120608
[22] V. C. Mow, S. C. Kuei, W. M. Lai and C. G. Armstrong, “Biphasic Creep and Stress-Relaxation of Articular-Cartilage in Compression—Theory and Experiments,” Journal of Biomechanical Engineering, Vol. 102, No. 1, 1980, pp. 73-84. http://dx.doi.org/10.1115/1.3138202
[23] M. Wong and D. R. Carter, “A Theoretical-Model of Endochondral Ossification and Bone Architectural Construction in Long-Bone Ontogeny,” Anatomy and Embryology, Vol. 181, No. 6, 1990, pp. 523-532. http://dx.doi.org/10.1007/BF00174625
[24] F. Barthelat, D. Fonck and A. L. Lerner, “Investigation of the Poroelastic Behavior of the Rabbit Growth Plate Cartilage,” In: V. K. Goel, R. L. Spilker, G. A. Athesian, L. J. Soslowsky, Eds., Proceedings of the 1999 Bioengineering Conference, BED-Vol. 42, ASME, New York, NY, 1999, pp. 757-758.

  
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