Calcified Tissue International

, Volume 81, Issue 4, pp 294–304 | Cite as

Fuzzy Logic Structure Analysis of Trabecular Bone of the Calcaneus to Estimate Proximal Femur Fracture Load and Discriminate Subjects with and without Vertebral Fractures using High-Resolution Magnetic Resonance Imaging at 1.5 T and 3 T

  • Priyesh V. Patel
  • Felix Eckstein
  • Julio Carballido-Gamio
  • Catherine Phan
  • Maiko Matsuura
  • Eva-Maria Lochmüller
  • Sharmila Majumdar
  • Thomas M. Link


Newly developed fuzzy logic-derived structural parameters were used to characterize trabecular bone architecture in high-resolution magnetic resonance imaging (HR-MRI) of human cadaver calcaneus specimens. These parameters were compared to standard histomorphological structural measures and analyzed concerning performance in discriminating vertebral fracture status and estimating proximal femur fracture load. Sets of 60 sagittal 1.5 T and 3.0 T HR-MRI images of the calcaneus were obtained in 39 cadavers using a fast gradient recalled echo sequence. Structural parameters equivalent to bone histomorphometry and fuzzy logic-derived parameters were calculated using two chosen regions of interest. Calcaneal, spine, and hip bone mineral density (BMD) measurements were also obtained. Fracture status of the thoracic and lumbar spine was assessed on lateral radiographs. Finally, mechanical strength testing of the proximal femur was performed. Diagnostic performance in discriminating vertebral fracture status and estimating femoral fracture load was calculated using regression analyses, two-tailed t-tests of significance, and receiver operating characteristic (ROC) analyses. Significant correlations were obtained at both field strengths between all structural and fuzzy logic parameters (r up to 0.92). Correlations between histomorphological or fuzzy logic parameters and calcaneal BMD were mostly significant (r up to 0.78). ROC analyses demonstrated that standard structural parameters were able to differentiate persons with and without vertebral fractures (area under the curve [AZ] up to 0.73). However, none of the parameters obtained in the 1.5-T images and none of the fuzzy logic parameters discriminated persons with and without vertebral fractures. Significant correlations were found between fuzzy or structural parameters and femoral fracture load. Using multiple regression analysis, none of the structural or fuzzy parameters were found to add discriminative value to BMD alone. In summary significant correlations were obtained at both field strengths between all structural and fuzzy logic parameters. However, fuzzy logic-based calcaneal parameters were not well suited for vertebral fracture discrimination. Although significant correlations were found between fuzzy or structural parameters and femoral fracture load, multiple regression analysis showed limited improvement for estimating femoral failure load in addition to femoral BMD alone. Local femoral measurements are still needed to estimate femoral bone strength. Overall, parameters obtained at 3.0 T performed better than those at 1.5 T.


Bone Calcaneus Osteoporosis Fuzzy logic Trabecular 


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Copyright information

© Springer Science+Business Media, LLC 2007

Authors and Affiliations

  • Priyesh V. Patel
    • 1
    • 2
  • Felix Eckstein
    • 3
    • 4
  • Julio Carballido-Gamio
    • 1
  • Catherine Phan
    • 1
  • Maiko Matsuura
    • 3
  • Eva-Maria Lochmüller
    • 5
  • Sharmila Majumdar
    • 1
  • Thomas M. Link
    • 1
  1. 1.Department of RadiologyUniversity of CaliforniaSan FranciscoUSA
  2. 2.Chicago Medical SchoolNorth ChicagoUSA
  3. 3.Musculoskeletal Research Group, Institute of AnatomyLudwig-Maximilians-UniversitätMunichGermany
  4. 4.Institute of Anatomy and Musculoskeletal ResearchParacelsus Medical Private UniversitySalzburgAustria
  5. 5.1st Gynecology HospitalLudwig-Maximilians-UniversitätMunichGermany

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