The Relationship between Trabecular Bone Structure Modeling Methods and the Elastic Modulus as Calculated by FEM
Trabecular bone cores were collected from the femoral head at the time of surgery (hip arthroplasty). Investigated were 42 specimens, from patients with osteoporosis and coxarthrosis. The cores were scanned used computer microtomography (microCT) system at an isotropic spatial resolution of 36 micro...
Main Authors: | , , , |
---|---|
Format: | Article |
Language: | English |
Published: |
Hindawi Limited
2012-01-01
|
Series: | The Scientific World Journal |
Online Access: | http://dx.doi.org/10.1100/2012/827196 |
id |
doaj-20274a799a434ebea95a56d134d33e3a |
---|---|
record_format |
Article |
spelling |
doaj-20274a799a434ebea95a56d134d33e3a2020-11-24T21:32:31ZengHindawi LimitedThe Scientific World Journal1537-744X2012-01-01201210.1100/2012/827196827196The Relationship between Trabecular Bone Structure Modeling Methods and the Elastic Modulus as Calculated by FEMTomasz Topoliński0Artur Cichański1Adam Mazurkiewicz2Krzysztof Nowicki3Faculty of Mechanical Engineering, University of Technology and Life Sciences, Kaliskiego 7 Street, 85-789 Bydgoszcz, PolandFaculty of Mechanical Engineering, University of Technology and Life Sciences, Kaliskiego 7 Street, 85-789 Bydgoszcz, PolandFaculty of Mechanical Engineering, University of Technology and Life Sciences, Kaliskiego 7 Street, 85-789 Bydgoszcz, PolandFaculty of Mechanical Engineering, University of Technology and Life Sciences, Kaliskiego 7 Street, 85-789 Bydgoszcz, PolandTrabecular bone cores were collected from the femoral head at the time of surgery (hip arthroplasty). Investigated were 42 specimens, from patients with osteoporosis and coxarthrosis. The cores were scanned used computer microtomography (microCT) system at an isotropic spatial resolution of 36 microns. Image stacks were converted to finite element models via a bone voxel-to-element algorithm. The apparent modulus was calculated based on the assumptions that for the elastic properties, E=10 MPa and ν=0.3. The compressive deformation as calculated by finite elements (FE) analysis was 0.8%. The models were coarsened to effectively change the resolution or voxel size (from 72 microns to 288 microns or from 72 microns to 1080 microns). The aim of our study is to determine how an increase in the distance between scans changes the elastic properties as calculated by FE models. We tried to find a border value voxel size at which the module values were possible to calculate. As the voxel size increased, the mean voxel volume increased and the FEA-derived apparent modulus decreased. The slope of voxel size versus modulus relationship correlated with several architectural indices of trabecular bone.http://dx.doi.org/10.1100/2012/827196 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Tomasz Topoliński Artur Cichański Adam Mazurkiewicz Krzysztof Nowicki |
spellingShingle |
Tomasz Topoliński Artur Cichański Adam Mazurkiewicz Krzysztof Nowicki The Relationship between Trabecular Bone Structure Modeling Methods and the Elastic Modulus as Calculated by FEM The Scientific World Journal |
author_facet |
Tomasz Topoliński Artur Cichański Adam Mazurkiewicz Krzysztof Nowicki |
author_sort |
Tomasz Topoliński |
title |
The Relationship between Trabecular Bone Structure Modeling Methods and the Elastic Modulus as Calculated by FEM |
title_short |
The Relationship between Trabecular Bone Structure Modeling Methods and the Elastic Modulus as Calculated by FEM |
title_full |
The Relationship between Trabecular Bone Structure Modeling Methods and the Elastic Modulus as Calculated by FEM |
title_fullStr |
The Relationship between Trabecular Bone Structure Modeling Methods and the Elastic Modulus as Calculated by FEM |
title_full_unstemmed |
The Relationship between Trabecular Bone Structure Modeling Methods and the Elastic Modulus as Calculated by FEM |
title_sort |
relationship between trabecular bone structure modeling methods and the elastic modulus as calculated by fem |
publisher |
Hindawi Limited |
series |
The Scientific World Journal |
issn |
1537-744X |
publishDate |
2012-01-01 |
description |
Trabecular bone cores were collected from the femoral head at the time of surgery (hip arthroplasty). Investigated were 42 specimens, from patients with osteoporosis and coxarthrosis. The cores were scanned used computer microtomography (microCT) system at an isotropic spatial resolution of 36 microns. Image stacks were converted to finite element models via a bone voxel-to-element algorithm. The apparent modulus was calculated based on the assumptions that for the elastic properties, E=10 MPa and ν=0.3. The compressive deformation as calculated by finite elements (FE) analysis was 0.8%. The models were coarsened to effectively change the resolution or voxel size (from 72 microns to 288 microns or from 72 microns to 1080 microns). The aim of our study is to determine how an increase in the distance between scans changes the elastic properties as calculated by FE models. We tried to find a border value voxel size at which the module values were possible to calculate. As the voxel size increased, the mean voxel volume increased and the FEA-derived apparent modulus decreased. The slope of voxel size versus modulus relationship correlated with several architectural indices of trabecular bone. |
url |
http://dx.doi.org/10.1100/2012/827196 |
work_keys_str_mv |
AT tomasztopolinski therelationshipbetweentrabecularbonestructuremodelingmethodsandtheelasticmodulusascalculatedbyfem AT arturcichanski therelationshipbetweentrabecularbonestructuremodelingmethodsandtheelasticmodulusascalculatedbyfem AT adammazurkiewicz therelationshipbetweentrabecularbonestructuremodelingmethodsandtheelasticmodulusascalculatedbyfem AT krzysztofnowicki therelationshipbetweentrabecularbonestructuremodelingmethodsandtheelasticmodulusascalculatedbyfem AT tomasztopolinski relationshipbetweentrabecularbonestructuremodelingmethodsandtheelasticmodulusascalculatedbyfem AT arturcichanski relationshipbetweentrabecularbonestructuremodelingmethodsandtheelasticmodulusascalculatedbyfem AT adammazurkiewicz relationshipbetweentrabecularbonestructuremodelingmethodsandtheelasticmodulusascalculatedbyfem AT krzysztofnowicki relationshipbetweentrabecularbonestructuremodelingmethodsandtheelasticmodulusascalculatedbyfem |
_version_ |
1725957172515307520 |