27.12.2012 Views

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

ARUP; ISBN: 978-0-9562121-5-3 - CMBBE 2012 - Cardiff University

SHOW MORE
SHOW LESS

Create successful ePaper yourself

Turn your PDF publications into a flip-book with our unique Google optimized e-Paper software.

There was a considerable difference between the error of the displacement maps<br />

computed from Model I and II and the strain maps computed from Model I and Model<br />

III. This could mostly be attributed to two effects: firstly, in Model I a segmented<br />

version of the tomographic image was used for the simulation. Therefore, the warping<br />

was performed using the segmented image as well, which introduces larger errors than<br />

the warping of the gray-scale images; and secondly, the errors of the displacement and<br />

strain maps were consistently larger in regions with spatially inhomogeneous<br />

deformations. This was particularly pronounced in Model I, since the FE simulations<br />

have the same spatial resolution as the original image, while the strain maps have a<br />

resolution of 13.5 voxel. However, in the DIGFA experiments the repeated imaging<br />

leads to smaller errors than warping does.<br />

In conclusion, 3D deformation and strain maps were introduced, optimized and<br />

validated to analyze tomographic images of the cortical bone microstructure in murine<br />

cortical bone. This will allow characterization of deformations and strains during the<br />

initiation and propagation of microcracks at a high spatial resolution.<br />

6. REFERENCES<br />

1. Nazarian, A. and Muller, R., Time-lapsed microstructural imaging of bone<br />

failure behavior. J Biomech, 2004, Vol. 37, 55-65.<br />

2. Voide, R., Schneider, P., Stauber, M., Wyss, P., Stampanoni, M., Sennhauser,<br />

U., Van Lenthe, G. H., and Müller, R., Time-lapsed assessment of microcrack<br />

initiation and propagation in murine cortical bone at submicrometer resolution.<br />

Bone, 2009, Vol. 45, 164-73.<br />

3. Bay, B. K., Smith, T. S., Fyhrie, D. P., and Saad, M., Digital volume correlation:<br />

Three-dimensional strain mapping using x-ray tomography. Exp Mech, 1999,<br />

Vol. 39, 217-26.<br />

4. Thirion, J. P., Image matching as a diffusion process: An analogy with<br />

maxwell's demons. Med Image Anal, 1998, Vol. 2, 243-60.<br />

5. Christen, D., Levchuk, A., Schori, S., Schneider, P., Boyd, S. K., and Müller, R.,<br />

Deformable image registration and 3d strain mapping for the quantitative<br />

assessment of cortical bone microdamage. J Mech Behav Biomed, <strong>2012</strong>, Vol. 8,<br />

184-93.<br />

6. Zauel, R., Yeni, Y. N., Bay, B. K., Dong, X. N., and Fyhrie, D. P., Comparison<br />

of the linear finite element prediction of deformation and strain of human<br />

cancellous bone to 3d digital volume correlation measurements. J Biomech Eng-<br />

T Asme, 2006, Vol. 128, 1-6.<br />

7. Liu, L. and Morgan, E. F., Accuracy and precision of digital volume correlation<br />

in quantifying displacements and strains in trabecular bone. J Biomech, 2007,<br />

Vol. 40, 3516-20.

Hooray! Your file is uploaded and ready to be published.

Saved successfully!

Ooh no, something went wrong!