Abstract
Various approaches are presented for modelling the acoustic response of cancellous bone to ultrasound interrogation. As the characteristic pore size in cancellous bone is much smaller than a typical bone sample, there is a clear scale separation (micro versus macro). Thus, our modelling methods are mainly based on homogenization techniques and numerical upscaling. First, we consider the so-called direct problems and present models for both periodically perforated domain and a domain with random distribution of pores, as well as nonlinear model with a shear-thinning viscoelastic material emulating the blood-marrow mixture. A numerical procedure is given for the upscaling of a diphasic mixture using different trabeculae thicknesses and various frequencies for the ultrasound excitation. Finally, the results of a quite accurate two-dimensional inversion for the Biot parameters are presented. Further details for these different problems are amply described in the literature cited in the bibliography.
Original language | English |
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Title of host publication | Bone Quantitative Ultrasound |
Publisher | Springer Netherlands |
Pages | 229-263 |
Number of pages | 35 |
ISBN (Electronic) | 9789400700178 |
ISBN (Print) | 9789400700161 |
DOIs | |
Publication status | Published - 2011 |
Keywords
- Cancellous bone
- Homogenization
- Inverse problems
ASJC Scopus subject areas
- General Medicine