Statistical estimation of femur micro-architecture using optimal shape and density predictors

Karim Lekadir, Javad Hazrati-Marangalou, Corné Hoogendoorn, Zeike Taylor, Bert van Rietbergen, Alejandro F. Frangi

Research output: Contribution to journalArticlepeer-review


The personalization of trabecular micro-architecture has been recently shown to be important in patient-specific biomechanical models of the femur. However, high-resolution in vivo imaging of bone micro-architecture using existing modalities is still infeasible in practice due to the associated acquisition times, costs, and X-ray radiation exposure. In this study, we describe a statistical approach for the prediction of the femur micro-architecture based on the more easily extracted subject-specific bone shape and mineral density information. To this end, a training sample of ex vivo micro-CT images is used to learn the existing statistical relationships within the low and high resolution image data. More specifically, optimal bone shape and mineral density features are selected based on their predictive power and used within a partial least square regression model to estimate the unknown trabecular micro-architecture within the anatomical models of new subjects. The experimental results demonstrate the accuracy of the proposed approach, with average errors of 0.07 for both the degree of anisotropy and tensor norms.

Original languageEnglish
Pages (from-to)598-603
Number of pages6
JournalJournal of biomechanics
Issue number4
Publication statusPublished - 26 Feb 2015


  • Bone shape and density
  • Fabric tensors
  • Femur micro-architecture
  • Micro-CT
  • Statistical predictive modeling
  • Trabecular anisotropy


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