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

Research output: Chapter in Book/Report/Conference proceedingConference contribution

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.

Original languageEnglish (US)
Title of host publicationMedical Imaging 2010 - Biomedical Applications in Molecular, Structural, and Functional Imaging
DOIs
StatePublished - 2010
EventMedical Imaging 2010 - Biomedical Applications in Molecular, Structural, and Functional Imaging - San Diego, CA, United States
Duration: Feb 14 2010Feb 16 2010

Publication series

NameProgress in Biomedical Optics and Imaging - Proceedings of SPIE
Volume7626
ISSN (Print)1605-7422

Other

OtherMedical Imaging 2010 - Biomedical Applications in Molecular, Structural, and Functional Imaging
CountryUnited States
CitySan Diego, CA
Period2/14/102/16/10

Keywords

  • Elasticity
  • Finite element
  • Fracture healing
  • Inverse problems
  • Murine

ASJC Scopus subject areas

  • Electronic, Optical and Magnetic Materials
  • Biomaterials
  • Atomic and Molecular Physics, and Optics
  • Radiology Nuclear Medicine and imaging

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