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Title:

Scaling relations between bone volume and bone structure as found using 3D mu CT images of the trabecular bone taken from different skeletal sites

Document type:
Proceedings Paper
Author(s):
Raeth, Christoph; Mueller, Dirk; Sidorenko, Irina; Monetti, Roberto; Eckstein, Felix; Matsuura, Maiko; Lochmueller, Eva-Maria; Zysset, Philippe K.; Bauer, Jan
Abstract:
According to Wolff's law bone remodels in response to the mechanical stresses it experiences so as to produce a minimal-weight structure that is adapted to its applied stresses. Here, we investigate the relations between bone volume and structure for the trabecular bone using 3D mu CT images taken from different skeletal sites in vitro, namely from the distal radii (96 specimens), thoracic (73 specimens) and lumbar vertebrae (78 specimens). We determine the local structure of the trabecular network by calculating isotropic and anisotropic scaling indices (alpha, alpha(z)). These measures have been proven to be able to discriminate rod-from sheet-like structures and to quantify the alignment of structures with respect to a preferential direction as given by the direction of the external force. Comparing global structure measures derived from the scaling indices (mean, standard deviation) with the bone mass (BV/TV) we find that all correlations obey very accurately power laws with scaling exponents of 0.14, 0.12, 0.15 (), -0.2, -017, -0.17 (sigma(alpha)), 0.09, 0.05, 0.07 () and -0.20, -0.11,-0.13 (sigma(alpha(z))); distal radius, thoracic vertebra and lumbar vertebra respectively. Thus, these relations turn out to be site-independent, albeit the mechanical stresses to which the bones of the forearm and the spine are exposed, are quite different. The similar alignment might not be in agreement with a universal validity of Wolff's law. On the other hand, such universal power law relations may allow to develop additional diagnostic means to better assess healthy and osteoporotic bone.
Keywords:
Osteoporosis; trabecular bone; Wolff's law; trabecular bone volume; trabecular structure; scaling indices
Editor:
Molthen, RC; Weaver, JB
Book / Congress title:
MEDICAL IMAGING 2010: BIOMEDICAL APPLICATIONS IN MOLECULAR, STRUCTURAL, AND FUNCTIONAL IMAGING
Congress (additional information):
Conference on Medical Imaging 2010 - Biomedical Applications in Molecular, Structural, and Functional Imaging, San Diego, CA, FEB 14-16, 2010
Volume:
7626
Organization:
SPIE; Medtronic, Inc; Aeroflex, Inc; Tungsten Heavy Powder, Inc
Publisher:
SPIE-INT SOC OPTICAL ENGINEERING
Publisher address:
1000 20TH ST, PO BOX 10, BELLINGHAM, WA 98227-0010 USA
Year:
2010
Print-ISBN:
978-0-8194-8027-9
Bookseries title:
Proceedings of SPIE
Language:
English
Fulltext / DOI:
doi:10.1117/12.843779
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