Three-dimensional digital topological characterization of cancellous bone architecture

Saha, Punam K.; Gomberg, Bryon R.; Wehrli, Félix W.

doi:10.1002/(sici)1098-1098(2000)11:1<81::aid-ima9>3.0.co;2-1

Cited by 125 publications

(112 citation statements)

References 21 publications

(19 reference statements)

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“…At least three studies provide compelling evidence for the independent role of architecture as a predictor of bone strength. In 2001 Wehrli et al (169) showed in 79 women, of whom 29 had vertebral fractures, that topological parameters derived by DTA of skeleton networks (141), discussed in earlier sections of this review, were far stronger discriminators of the two groups than BMD. This study provided, for the first time, in vivo evidence for the architectural and mechanistic consequences of postmenopausal bone loss in that fracture subjects had lower surface-to-curve ratio and higher erosion index than their unfractured peers.…”

Section: Clinical Applications Of Trabecular Bone Microstructural Anamentioning

confidence: 87%

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Quantitative MRI for the assessment of bone structure and function

et al. 2006

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Osteoporosis is the most common degenerative disease in the elderly. It is characterized by low bone mass and structural deterioration of bone tissue, leading to morbidity and increased fracture risk in the hip, spine and wrist-all sites of predominantly trabecular bone. Bone densitometry, currently the standard methodology for diagnosis and treatment monitoring, has significant limitations in that it cannot provide information on the structural manifestations of the disease. Recent advances in imaging, in particular MRI, can now provide detailed insight into the architectural consequences of disease progression and regression in response to treatment. The focus of this review is on the emerging methodology of quantitative MRI for the assessment of structure and function of trabecular bone. During the past 10 years, various approaches have been explored for obtaining image-based quantitative information on trabecular architecture. Indirect methods that do not require resolution on the scale of individual trabeculae and therefore can be practiced at any skeletal location, make use of the induced magnetic fields in the intertrabecular space. These fields, which have their origin in the greater diamagnetism of bone relative to surrounding marrow, can be measured in various ways, most typically in the form of R 0 2 , the recoverable component of the total transverse relaxation rate. Alternatively, the trabecular network can be quantified by high-resolution MRI (m-MRI), which requires resolution adequate to at least partially resolve individual trabeculae. Micro-MRI-based structure analysis is therefore technically demanding in terms of image acquisition and algorithms needed to extract the structural information under conditions of limited signal-to-noise ratio and resolution. Other requirements that must be met include motion correction and image registration, both critical for achieving the reproducibility needed in repeat studies. Key clinical applications targeted involve fracture risk prediction and evaluation of the effect of therapeutic intervention.

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Section: Clinical Applications Of Trabecular Bone Microstructural Anamentioning

confidence: 87%

“…The method, termed digital topological analysis (DTA) was subsequently refined and applied to digital images of trabecular bone (140,141). DTA relies on the three local topological entities described above, i.e.…”

Section: D Structure Analysismentioning

confidence: 99%

Quantitative MRI for the assessment of bone structure and function

et al. 2006

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“…5 The EI is defined as the ratio of all topological parameters expected to increase during the erosion process (specifically, curve, curve-edge, surface-edge, profile-edge, and curve-curve-junction types) compared with those that are expected to decrease (surface and surface-surface junction types). 21 …”

Section: Digital Topological Analysismentioning

confidence: 99%

Quantitative imaging of peripheral trabecular bone microarchitecture using MDCT

et al. 2017

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Purpose: Osteoporosis associated with reduced bone mineral density (BMD) and microarchitectural changes puts patients at an elevated risk of fracture. Modern multidetector row CT (MDCT) technology, producing high spatial resolution at increasingly lower dose radiation, is emerging as a viable modality for trabecular bone (Tb) imaging. Wide variation in CT scanners raises concerns of data uniformity in multisite and longitudinal studies. A comprehensive cadaveric study was performed to evaluate MDCT-derived Tb microarchitectural measures. A human pilot study was performed comparing continuity of Tb measures estimated from two MDCT scanners with significantly different image resolution features. Method: Micro-CT imaging of cadaveric ankle specimens (n ¼ 25) was used to examine the validity of MDCT-derived Tb microarchitectural measures. Repeat scan reproducibility of MDCT-based Tb measures and their ability to predict mechanical properties were examined. To assess multiscanner data continuity of Tb measures, the distal tibias of 20 volunteers (age : 26:2 AE 4:5 Y; 10 F) were scanned using the Siemens SOMATOM Definition Flash and the higher resolution Siemens SOMA-TOM Force scanners with an average 45-day time gap between scans. The correlation of Tb measures derived from the two scanners over 30% and 60% peel regions at the 4% to 8% of distal tibia was analyzed. Results: MDCT-based Tb measures characterizing bone network area density, plate-rod microarchitecture, and transverse trabeculae showed good correlations (r 2 0:85; 0:92 ½ ) with the gold standard micro-CT-derived values of matching Tb measures. However, other MDCT-derived Tb measures characterizing trabecular thickness and separation, erosion index, and structure model index produced weak correlation (r\0:8) with their micro-CT-derived values. Most MDCT Tb measures were found repeatable (ICC 2 0:94; 0:98 ½ ). The Tb plate-width measure showed a strong correlation (r = 0.89) with experimental yield stress, while the transverse trabecular measure produced the highest correlation (r = 0.81) with Young's modulus. The data continuity experiment showed that, despite significant differences in image resolution between two scanners (10% MTF along xy-plane and z-direction study has highlighted those MDCT-derived measures which show the greatest promise for characterization of bone network area density, plate-rod and transverse trabecular distributions with a good correlation (r ≥ 0.85) compared with their micro-CT-derived values. At the same time, other measures representing trabecular thickness and separation, erosion index, and structure model index produced weak correlations (r < 0.8) with their micro-CT-derived values, failing to accurately portray the projected trabecular microarchitectural features. Strong correlations of Tb measures estimated from two scanners suggest that image data from different scanners can be used successfully in multisite and longitudinal studies with linear calibration required for some measures. In summary, modern MDCT scanners are ...

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“…A special class of networks is "partially connected networks," in which nodes are connected only to adjacent nodes (neighbors), so that the network is fully connected without the cost of maintaining the maximal possible number of edges. Saha et al (2000) paved the way for studying trabecular bone topology-the manner in which individual elements collectively form a 3D network-by suggesting a method of uncoupling trabecular morphology from the 3D organization of the axes, or centroids, of trabeculae in a sample (edges). The topological approach itself helps explain the mechanical properties and might well determine the 3D architectural blueprint, or archetype, of trabecular bone that has been optimized throughout evolution and allows for further functional adaptation (i.e., local Tb.Th, DA, and bone volume fraction being superimposed on topological parameters such as connectedness and continuity).…”

Section: Introductionmentioning

confidence: 99%

3D Architecture of Trabecular Bone in the Pig Mandible and Femur: Inter-Trabecular Angle Distributions

et al. 2017

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Cancellous bone is an intricate network of interconnected trabeculae, to which analysis of network topology can be applied. The inter-trabecular angle (ITA) analysis-an analysis of network topological parameters and regularity of network-forming nodes-was previously carried out on human proximal femora and showed that trabecular bone follows two main principles: sparsity of the network connectedness (prevalence of nodes with low connectivity in the network) and maximal space spanning (angular offset of connected elements is maximal for their number and approximates the values of geometrically symmetric shapes). These observations suggest that 3D organization of trabecular bone, irrespective of size and shape of individual elements, reflects a tradeoff between minimal metabolic cost of maintenance and maximal network stability under conditions of multidirectional loading. In this study, we validate the ITA application using additional 3D structures (cork and 3D-printed metal lattices), analyze the ITA parameters in porcine proximal femora and mandibles, and carry out a spatial analysis of the most common node type in the porcine mandibular condyle. The validation shows that the ITA application reliably detects designed or evolved topological parameters. The ITA parameters of porcine trabecular bones are similar to those of human bones. We demonstrate functional adaptation in the pig mandibular condyle by showing that the planar nodes with three edges are preferentially aligned in relation to the muscle forces that are applied to the condyle. We conclude that the ITA topological parameters are remarkably conserved, but locally do adapt to applied stresses.

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Three-dimensional digital topological characterization of cancellous bone architecture

Cited by 125 publications

References 21 publications

Quantitative MRI for the assessment of bone structure and function

Quantitative MRI for the assessment of bone structure and function

Quantitative imaging of peripheral trabecular bone microarchitecture using MDCT

3D Architecture of Trabecular Bone in the Pig Mandible and Femur: Inter-Trabecular Angle Distributions

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