TY  - JOUR
A1  - Marwan, Norbert
A1  - Kurths, Jürgen
A1  - Thomsen, Jesper Skovhus
A1  - Felsenberg, Dieter
A1  - Saparin, Peter
T1  - Three-dimensional quantification of structures in trabecular bone using measures of complexity
N2  - The study of pathological changes of bone is an important task in diagnostic procedures of patients with metabolic bone diseases such as osteoporosis as well as in monitoring the health state of astronauts during long-term space flights. The recent availability of high-resolution three-dimensional (3D) imaging of bone challenges the development of data analysis techniques able to assess changes of the 3D microarchitecture of trabecular bone. We introduce an approach based on spatial geometrical properties and define structural measures of complexity for 3D image analysis. These measures evaluate different aspects of organization and complexity of 3D structures, such as complexity of its surface or shape variability. We apply these measures to 3D data acquired by high-resolution microcomputed tomography (mu CT) from human proximal tibiae and lumbar vertebrae at different stages of osteoporotic bone loss. The outcome is compared to the results of conventional static histomorphometry and exhibits clear relationships between the analyzed geometrical features of trabecular bone and loss of bone density, but also indicate that the measures reveal additional information about the structural composition of bone, which were not revealed by the static histomorphometry. Finally, we have studied the dependency of the developed measures of complexity on the spatial resolution of the mu CT data sets.
Y1  - 2009
UR  - http://pre.aps.org/
U6  - https://doi.org/10.1103/Physreve.79.021903
SN  - 1539-3755
ER  - 
TY  - JOUR
A1  - Marwan, Norbert
A1  - Beller, Gise
A1  - Felsenberg, Dieter
A1  - Saparin, Peter
A1  - Kurths, Jürgen
T1  - quantifying changes in the spatial structure of trabecular bone
JF  - International journal of bifurcation and chaos : in applied sciences and engineering
N2  - We apply recently introduced measures of complexity for the structural quantification of distal tibial bone. For the first time, we are able to investigate the temporal structural alteration of trabecular bone. Based on four patients, we show how the bone may alter due to temporal immobilization.
KW  - 3D medical image analysis
KW  - pQCT
KW  - trabecular bone
KW  - patient immobilization
Y1  - 2012
U6  - https://doi.org/10.1142/S0218127412500277
SN  - 0218-1274
VL  - 22
IS  - 2
PB  - World Scientific
CY  - Singapore
ER  -