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Updated: Mar 26, 2026

Author Spotlight: Enhancing Accuracy and Reproducibility in Whole Bone Bending Tests
Published on: September 1, 2023
Voxel size dependency, reproducibility and sensitivity of an in vivo bone loading estimation algorithm
Patrik Christen1, Friederike A Schulte1, Alexander Zwahlen1
1Institute for Biomechanics, ETH Zurich, Zurich, Switzerland.
This study validates a bone loading estimation algorithm, finding it reliable and reproducible for in vivo bone remodeling simulations up to 82 µm voxel size. The algorithm accurately reflects bone
Area of Science:
- Biomechanics
- Medical Imaging
- Computational Biology
Background:
- A previously developed algorithm estimates in vivo bone loading conditions for bone remodeling simulations.
- This algorithm uses a reverse engineering approach, deriving loading history from bone microstructure assessed via high-resolution computed tomography (HR-CT).
- Previous validation showed accurate and realistic results using micro-CT and HR-peripheral quantitative CT (HR-pQCT) images.
Purpose of the Study:
- To investigate the voxel size dependency, reproducibility, and sensitivity of the in vivo bone loading estimation algorithm.
- To determine the optimal voxel size for accurate and reliable bone loading estimations.
- To assess the algorithm's ability to differentiate loading histories based on bone characteristics.
Main Methods:
- Voxel size dependency was tested by downscaling micro-CT images of cadaveric distal radii.
- Reproducibility was assessed using repeated in vitro and in vivo HR-pQCT measurements.
- Sensitivity was evaluated by comparing HR-pQCT images from women with and without fractures, and with varying bone volume fractions.
Main Results:
- The algorithm demonstrated voxel size independence with an average error of 8.2% at 61 µm, but dependency increased significantly beyond 82 µm.
- In vitro and in vivo reproducibility were up to 4.5% and 10.2%, respectively, comparable to existing studies.
- The algorithm distinguished subjects with different bone volume fractions but not those with and without fractures, aligning with adaptation to habitual loads rather than fall impacts.
Conclusions:
- The in vivo bone loading estimation algorithm is reproducible, sensitive, and largely voxel size independent up to 82 µm.
- Smaller voxel sizes are advantageous for improved accuracy and sensitivity in bone loading estimations.
- The algorithm's findings support the understanding of bone adaptation to mechanical loading.
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