Quantifying mechanical properties in a murine fracture healing system using inverse modeling: preliminary work

Michael I. Miga; Jared A. Weis; Froilan Granero-Molto; Anna Spagnoli

doi:10.1117/12.842650

9 March 2010 Quantifying mechanical properties in a murine fracture healing system using inverse modeling: preliminary work

Michael I. Miga, Jared A. Weis, Froilan Granero-Molto, Anna Spagnoli

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Proceedings Volume 7626, Medical Imaging 2010: Biomedical Applications in Molecular, Structural, and Functional Imaging; 76261K (2010) https://doi.org/10.1117/12.842650
Event: SPIE Medical Imaging, 2010, San Diego, California, United States

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. To test this framework, the Lame' constants were reconstructed within the context of a murine cohort (n=6) where there were no differences in treatment post tibia fracture except that half of the mice were allowed to heal 4 days longer (10 day, and 14 day healing time point, respectively). The properties reconstructed were a shear modulus of G=511.2 ± 295.6 kPa, and 833.3± 352.3 kPa for the 10 day, and 14 day time points respectively. The second Lame' constant reconstructed at λ=1002.9 ±42.9 kPa, and 14893.7 ± 863.3 kPa for the 10 day, and 14 day time points respectively. An unpaired Student t-test was used to test for statistically significant differences among the groups. While the shear modulus did not meet our criteria for significance, the second Lame' constant did at a value p<0.0001. Traditional metrics that are commonly used within the bone fracture healing research community were not found to be statistically significant.

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Michael I. Miga, Jared A. Weis, Froilan Granero-Molto, and Anna Spagnoli "Quantifying mechanical properties in a murine fracture healing system using inverse modeling: preliminary work", Proc. SPIE 7626, Medical Imaging 2010: Biomedical Applications in Molecular, Structural, and Functional Imaging, 76261K (9 March 2010); https://doi.org/10.1117/12.842650

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KEYWORDS

Bone

Data modeling

Imaging systems

Statistical analysis

Systems modeling

Biological research

Biomedical engineering

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