Experimental determination of the topological properties of three‐dimensional microstructures

DeHoff, R. T.; Aigeltinger, E. H.; Craig, Kenneth R.

doi:10.1111/j.1365-2818.1972.tb03712.x

Cited by 156 publications

(65 citation statements)

References 2 publications

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“…Osteophyte was identified as irregular deposits of bone with very high lacunar density on the periphery of the cortex and its area was measured using the public domain NIH Image (v 1.61) software. Connectivity is a precise topological term and is a measure of the degree to which a feature under study is multiply connected [14]. As connectivity cannot be directly assessed using 2-D histological sections, the current study used strut analysis, a method based on the topological definition of struts and denotation of nodes and termini (free ends) [10].…”

Section: Image Analysis (Histology)mentioning

confidence: 99%

Increased femoral neck cancellous bone and connectivity in coxarthrosis (hip osteoarthritis)

Jordan

Loveridge

Bell

et al. 2003

Bone

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Patients with coxarthrosis (cOA) have a reduced incidence of intracapsular femoral neck fracture, suggesting that cOA offers protection. The distribution of bone in the femoral neck was compared in cases of coxarthrosis and postmortem controls to assess the possibility that disease-associated changes might contribute to reduced fragility. Whole cross-section femoral neck biopsies were obtained from 17 patients with cOA and 22 age-and sex-matched cadaveric controls. Densitometry was performed using peripheral quantitated computed tomography (pQCT) and histomorphometry on 10-m plastic-embedded sections. Cortical bone mass was not different between cases and controls (P Ͼ 0.23), but cancellous bone mass was increased by 75% in cOA (P ϭ 0.014) and histomorphometric cancellous bone area by 71% (P Ͻ 0.0001). This was principally the result of an increase of apparent density (mass/vol) of cancellous bone (ϩ45%, P ϭ 0.001). Whereas cortical porosity was increased in the cases (P Ͻ 0.0001), trabecular width was also increased overall in the cases by 52% (P Ͻ 0.001), as was cancellous connectivity measured by strut analysis (P Ͻ 0.01). Where osteophytic bone was present (n ϭ 9) there was a positive relationship between the amount of osteophyte and the percentage of cancellous area (P Ͻ 0.05). Since cancellous bone buttresses and stiffens the cortex so reducing the risk of buckling, the increased cancellous bone mass and connectivity seen in cases of cOA probably explain, at least in part, the ability of patients with cOA to resist intracapsular fracture of the femoral neck during a fall.

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Section: Image Analysis (Histology)mentioning

confidence: 99%

Increased femoral neck cancellous bone and connectivity in coxarthrosis (hip osteoarthritis)

Jordan

Loveridge

Bell

et al. 2003

Bone

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“…6 In 1988, Feldkamp et al presented a method to determine connectivity from three-dimensional reconstructions obtained using a newly developed microcomputed tomography scanner. 7 However, the serious problems associated with noise in such reconstructions and the artificial edges produced by taking a sample of cancellous bone out of its whole had not been solved prior to 1993.…”

Section: Introductionmentioning

confidence: 99%

Connectivity and the elastic properties of cancellous bone

Kabel

Odgaard

Rietbergen

et al. 1999

Bone

146

100

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This study addresses the possible significance of trabecular connectivity for the mechanical quality of cancellous bone. A total of 141 cubic trabecular bone specimens collected from autopsy material from 56 individuals without any known bone or metastatic diseases were used. Age variation was in the range of 14 -91 years and a wide range of trabecular architecture was found. Each specimen was three-dimensionally reconstructed with a voxel size of either 20 or 25 m. Using the detailed three-dimensional reconstructions as input for microstructural finite-element models, the complete elastic properties of the trabecular architecture were obtained and maximum and mean stiffness could be calculated. Volume fraction and true three-dimensional architectural measurements of connectivity density and surface density were determined. Connectivity density was determined in an unbiased manner by the Euler number, which is a topological property. Using multiple regression analysis it was found that volume fraction explained by far the greatest part (84%-94%) of the variation in both mean and maximum stiffness. When connectivity density and surface density were included, the correlations increased marginally to 89%-95%. Noticeably negative regression coefficients were found for connectivity density. The results suggest that, in normal cancellous bone, the connectivity density has very limited value for assessment of elastic properties by morphological variables, but if a relation exists then stiffness decreases with increasing connectivity. (Bone 24:115-120; 1999) © 1999 by Elsevier Science Inc. All rights reserved.

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“…Le graphe ainsi obtenu est composé de noeuds (N) reliés entre eux par des branches (B). La connectivité s'exprime à partir de N et de B par la relation [19] :…”

Section: N = 7 B =unclassified

Micro-imagerie par résonance magnétique nucléaire : application à la structure trabéculaire osseuse

Pothuaud

Porion

Levitz

et al. 1998

Rev. Inst. Fr. Pét.

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507L'ostŽoporose est une maladie caractŽrisŽe par une baisse de densitŽ osseuse et une altŽration de la microarchitecture trabŽcu-laire. Le but de ce travail est la validation d'une technique d'Žvalua-tion de l'architecture osseuse effectuŽe ˆ partir de clichŽs radiographiques. Dans une premi•re phase, nous avons mis en place un protocole expŽrimental permettant de reconstruire un mod•le numŽrique 3D du tissu osseux ˆ partir de la technique d'imagerie par rŽsonance magnŽtique (IRM). DiffŽrents outils de caractŽrisa-tion 3D, tant morphologiques que topologiques, ainsi qu'un outil de simulation numŽrique du processus radiographique ont ŽtŽ dŽve-loppŽs et appliquŽs sur ce mod•le. Dans une deuxi•me phase, nous utiliserons ces outils afin de mettre en Žvidence des corrŽla-tions entre les caractŽristiques 3D de la structure et celles de sa projection radiographique. NUCLEAR MAGNETIC RESONANCE MICRO-IMAGERY APPLIED TO THE TRABECULAR STRUCTURE IN BONEOsteoporosis is a disease that is characterized by loss of bone density and alteration of the trabecular microarchitecture. The aim of this work is to validate a technique for evaluating the bone architecture using X-ray pictures. In the first phase, we established a protocol for constructing a 3D numerical model of bone tissue using Magnetic Resonance Imaging (MRI). Tools capable of both morphological and topological 3D characterization as well as a tool for numerically simulating X-rays were developed and applied using this model. In the second phase, we used these tools to demonstrate the correlations between the 3D characteristics of the cell structure and its X-ray projection.MICROIMAGINERêA POR RESONANCIA MAGNƒTICA NUCLEAR : APLICACIîN A LA ESTRUCTURA TRABECULAR îSEA La osteoporosis es una enfermedad que se caracteriza por una disminuci-n de la densidad -sea y una alteraci-n de la microarquitectura trabecular. El objeto del presente trabajo consiste en la validaci-n de una tŽcnica de evaluaci-n de la arquitectura -sea efectuada a partir de negativos radiogr ‡ficos. En una etapa preliminar, hemos desarrollado un protocolo experimental que permite reconstruir un modelo digital en 3D del tejido -seo a partir de la tŽcnica de imaginer'a por resonancia magnŽtica (IRM). Se han desarrollado y aplicado en este modelo diversas herramientas de caracterizaci-n 3D, tanto morfol-gicas como topol-gicas, as' como una herramienta de simulaci-n digital del proceso radiogr ‡fico. En una segunda etapa, nos proponemos utilizar estas herramientas para evidenciar las correlaciones entre las caracter'sticas en 3D de la estructura y aquellas de su proyecci-n radiogr ‡fica.

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Experimental determination of the topological properties of three‐dimensional microstructures

Cited by 156 publications

References 2 publications

Increased femoral neck cancellous bone and connectivity in coxarthrosis (hip osteoarthritis)

Increased femoral neck cancellous bone and connectivity in coxarthrosis (hip osteoarthritis)

Connectivity and the elastic properties of cancellous bone

Micro-imagerie par résonance magnétique nucléaire : application à la structure trabéculaire osseuse

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