Abstract
Understanding bone remodeling and mechanical property characteristics is important for assessing treatments to accelerate healing or in developing diagnostics to evaluate successful return to function. The murine system whereby mid-diaphaseal tibia fractures are imparted on the subject and fracture healing is assessed at different time points and under different therapeutic conditions is a particularly useful model to study. In this work, a novel inverse geometric nonlinear elasticity modeling framework is proposed that can reconstruct multiple mechanical properties from uniaxial testing data. This is investigated within the context of a murine cohort (n=3) that are 14 days post fracture. This work is the first to report mechanical properties of a callus using an inverse problem methodology whereby 2758.4 ± 682.5 kPa, 0.467 ± 0.009 were found to be the Young’s modulus and Poisson’s ratio, respectively. In addition better consistency of the reconstructed metrics over more traditional metrics is demonstrated.
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References
Tomak, Y., Kocaoglu, M., Piskin, A., Yildiz, C., Gulman, B., Tomak, L.: Treatment of intertrochanteric fractures in geriatric patients with a modified external fixator. Injury-International Journal of the Care of the Injured 36, 635–643 (2005)
Toh, E.M., Sahni, V., Acharya, A., Denton, J.S.: Management of intracapsular femoral neck fractures in the elderly; is it time to rethink our strategy? Injury-International Journal of the Care of the Injured 35, 125–129 (2004)
Sharif, K.M., Parker, M.J.: Austin Moore hemiarthroplasty: technical aspects and their effects on outcome, in patients with fractures of the neck of femur. Injury-International Journal of the Care of the Injured 33 (2002); PII S0020-1383(0002)00041-00044
Granero-Molto, F., Weis, J.A., Landis, B., Longobardi, L., Miga, M.I., Spagnoli, A.: Mesenchymal Stem Cells Enhance Fracture Healing: Essential Role for Cytokines in Homing and Anti-Inflammatory Response. Journal of Bone and Mineral Research 23, S166–S167 (2008)
Gardner, M.J., van der Meulen, M.C.H., Demetrakopoulos, D., Wright, T.M., Myers, E.R., Bostrom, M.P.: In vivo cyclic axial compression affects bone healing in the mouse tibia. J. Orthop. Res. 24, 1679–1686 (2006)
Moukoko, D., Pithioux, M., Chabrand, P.: Temporal evolution of mechanical properties of skeletal tissue regeneration in rabbits: an experimental study. Med. Biol. Eng. Comput. 45, 989–995 (2007)
Morgan, E.F., Mason, Z.D., Chien, K.B., Pfeiffer, A.J., Barnes, G.L., Einhorn, T.A., Gerstenfeld, L.C.: Micro-computed tomography assessment of fracture healing: Relationships among callus structure, composition, and mechanical function. Bone 44, 335–344 (2009)
Reynolds, D.G., Hock, C., Shaikh, S., Jacobson, J., Zhang, X.P., Rubery, P.T., Beck, C.A., O’Keefe, R.J., Lerner, A.L., Schwarz, E.M., Awad, H.A.: Micro-computed tomography prediction of biomechanical strength in murine structural bone grafts. J. Biomech. 40, 3178–3186 (2007)
Shefelbine, S.J., Simon, U., Claes, L., Gold, A., Gabet, Y., Bab, I., Muller, R., Augat, P.: Prediction of fracture callus mechanical properties using micro-CT images and voxel-based finite element analysis. Bone 36, 480–488 (2005)
Weis, J.A., Granero-Molto, F., O’Rear, L.D., Miga, M.I., Spagnoli, A.: Development of a high-resolution 3D Micro-CT based model to predict fracture callus histological architecture. Journal of Bone and Mineral Research 22, W472 (2007)
Weis, J.A., Miga, M.I., Granero-Molto, F., Spagnoli, A.: A finite element inverse analysis to assess functional improvement during the fracture healing process. J. Biomech. (in press, 2009)
Joachimowicz, N., Pichot, C., Hugonin, J.P.: Inverse Scattering - an Iterative Numerical-Method for Electromagnetic Imaging. IEEE Transactions on Antennas and Propagation 39, 1742–1752 (1991)
Bonnarens, F., Einhorn, T.A.: Production of a standard closed fracture in laboratory animal bone. J. Orthop. Res. 2, 97–101 (1984)
Schriefer, J.L., Robling, A.G., Warden, S.J., Fournier, A.J., Mason, J.J., Turner, C.H.: A comparison of mechanical properties derived from multiple skeletal sites in mice. J. Biomech. 38, 467–475 (2005)
Benzley, S.E., Perry, E., Merkley, K., Clark, B., Sjaardema, G.: A Comparison of All-Hexahedral and All-Tetrahedral Finite Element Meshes for Elastic and Elasto-Plastic Analysis. In: Proc. 4th International Meshing Roundtable, Sandia National Laboratories, pp. 179–191 (1995)
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Miga, M.I., Weis, J.A., Granero-Molto, F., Spagnoli, A. (2010). Quantifying Mechanical Properties in a Murine Fracture Healing System Using an Inverse Geometric Nonlinear Elasticity Modeling Framework. In: Bello, F., Cotin, S. (eds) Biomedical Simulation. ISBMS 2010. Lecture Notes in Computer Science, vol 5958. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11615-5_4
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DOI: https://doi.org/10.1007/978-3-642-11615-5_4
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