An Investigation To Determine If A Single Validated Density-elasticity Relationship Can Be Used For Subject Specific Finite Element Analyses Of Human Long Bones.
S. Eberle, M. Goettlinger, P. Augat
Published 2013 · Engineering, Medicine
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Subject-specific FE-models of human long bones have to predict mechanical parameters with sufficient accuracy to be applicable in a clinical setting. One of the main aspects in subject-specific FE-models of bones regarding accuracy is the modeling of the material inhomogeneity. The goal of this study was therefore to develop FE-models of human femurs and investigate if a single validated density-elasticity relationship can be used for subject specific finite element analyses of human long bones, when the task is to predict the bone's mechanical response to load. To this aim, 23 human cadaver femurs were tested in axial compression with a load of 1000 N. Strains, local displacements, and axial bone stiffness were determined. Subject-specific FE-models were developed for each bone based on quantitative CT-scans. Three different density-elasticity relationships were retrieved from the literature, and were implemented in the FE-models. The predicted mechanical values depended largely on the used equation. The most reasonable equation showed a mean error of -11% in strain prediction, a mean error of -23% in local displacement prediction, and a mean error of +23% in axial stiffness prediction. The scatter of the predictions was very low in all three categories of measurements with a 1.96 standard deviation of about 30% to the mean errors. In conclusion, a framework for subject-specific FE-models was developed that was able to predict surface strains and bone deformation with good accuracy by using a single density-elasticity relationship. However, it was also found that the most appropriate density-elasticity relationship was specimen-specific.
This paper references
Mathematical relationships between bone density and mechanical properties: a literature review.
B. Helgason (2008)
Subject-specific finite element models of long bones: An in vitro evaluation of the overall accuracy.
F. Taddei (2006)
Prediction of the mechanical response of the femur with uncertain elastic properties.
Hagen Wille (2012)
Patient-specific finite element analysis of the human femur--a double-blinded biomechanical validation.
Nir Trabelsi (2011)
Estimation of mechanical properties of cortical bone by computed tomography.
S. Snyder (1991)
Apparent Young's modulus of human radius using inverse finite-element method.
M. Bosisio (2007)
Finite element prediction of surface strain and fracture strength at the distal radius.
W. B. Edwards (2012)
A new method to evaluate the elastic modulus of cortical bone by using a combined computed tomography and finite element approach
H. Huang (2010)
Subject-specific finite element models implementing a maximum principal strain criterion are able to estimate failure risk and fracture location on human femurs tested in vitro.
E. Schileo (2008)
Subject-specific finite element models can accurately predict strain levels in long bones.
E. Schileo (2007)
A modified method for assigning material properties to FE models of bones.
B. Helgason (2008)
The effect of the density-modulus relationship selected to apply material properties in a finite element model of long bone.
R. Austman (2008)
Bone stresses before and after insertion of two commercially available distal ulnar implants using finite element analysis.
Rebecca L. Austman (2011)
Effects of CT image segmentation methods on the accuracy of long bone 3D reconstructions.
Kanchana Rathnayaka (2011)
Subject-specific finite element model of knee: experimental validation using composite and bovine specimens
Jena L. Dressler (2009)
Comparison of in situ and in vitro CT scan-based finite element model predictions of proximal femoral fracture load.
J. Keyak (2003)
Predicting the compressive mechanical behavior of bone.
T. Keller (1994)
AKUFO AND IBARAPA.
A. H. Beckett (1965)
Development of a customized density—modulus relationship for use in subject-specific finite element models of the ulna
Rebecca L. Austman (2009)
Validation of computational models in biomechanics
H. Henninger (2010)
Comparison of isotropic and orthotropic material property assignments on femoral finite element models under two loading conditions.
L. Peng (2006)
A NURBS-based technique for subject-specific construction of knee bone geometry
A. Au (2008)
An accurate estimation of bone density improves the accuracy of subject-specific finite element models.
E. Schileo (2008)
Compressive mechanical properties of demineralized and deproteinized cancellous bone.
P. Chen (2011)
A finite element inverse analysis to assess functional improvement during the fracture healing process.
Jared A. Weis (2010)
Estimation of material properties in the equine metacarpus with use of quantitative computed tomography.
C. Les (1994)
Physiologically based boundary conditions in finite element modelling.
A. Speirs (2007)
In situ parameter identification of optimal density-elastic modulus relationships in subject-specific finite element models of the proximal femur.
A. Cong (2011)
Why Bland-Altman plots should use X, not (Y+X)/2 when X is a reference method.
J. Krouwer (2008)
Cross-calibration of liquid and solid QCT calibration standards: Corrections to the UCSF normative data
K. Faulkner (2005)
Representation of bone heterogeneity in subject-specific finite element models for knee
Anthony G. Au (2010)
Verification, validation and sensitivity studies in computational biomechanics
A. Anderson (2007)
Reliable simulations of the human proximal femur by high-order finite element analysis validated by experimental observations.
Z. Yosibash (2007)
STATISTICAL METHODS FOR ASSESSING AGREEMENT BETWEEN TWO METHODS OF CLINICAL MEASUREMENT
J. Bland (1986)
Comparison of an inhomogeneous orthotropic and isotropic material models used for FE analyses.
V. Báča (2008)
Multiscale modelling and nonlinear finite element analysis as clinical tools for the assessment of fracture risk
D. Christen (2010)
The role of collagen in the declining mechanical properties of aging human cortical bone.
Peter Zioupos (1999)
Trabecular bone modulus-density relationships depend on anatomic site.
E. Morgan (2003)
Finite-Element Modeling of Bones From CT Data: Sensitivity to Geometry and Material Uncertainties
F. Taddei (2006)
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Functional Design and Analysis of a Linked Shoulder Prosthesis
Emily West (2017)
Individual density-elasticity relationships improve accuracy of subject-specific finite element models of human femurs.
Sebastian Eberle (2013)
Stability of femoral neck fracture fixation: A finite element analysis
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Biomechanical analysis of fracture risk associated with tibia deformity in children with osteogenesis imperfecta: a finite element analysis.
C. Caouette (2014)
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Amirhossein Goharian (2017)
Development of a computational approach to assess hip fracture and repair: Considerations of intersubject and surgical alignment variability
A. Ali (2013)
Specimen-specific modeling of hip fracture pattern and repair.
Azhar A. Ali (2014)
Comparative finite-element analysis: a single computational modelling method can estimate the mechanical properties of porcine and human vertebrae
Kate A Robson Brown (2014)
Strain rate dependency of bovine trabecular bone under impact loading at sideways fall velocity.
William S Enns-Bray (2018)
Finite Element-Based Mechanical Assessment of Bone Quality on the Basis of In Vivo Images
Dieter H Pahr (2016)
Selecting boundary conditions in physiological strain analysis of the femur: Balanced loads, inertia relief method and follower load.
Mark Heyland (2015)
Development of a validated glenoid trabecular density-modulus relationship.
N. Knowles (2019)
Understanding the Development of Cam-Type Deformity by FE Analysis of the Immature Proximal Femur
P. Roels (2013)
Methods for Post Hoc Quantitative Computed Tomography Bone Density Calibration: Phantom-Only and Regression.
J. Reeves (2018)
Stochastic analysis of a heterogeneous micro-finite element model of a mouse tibia.
Yongtao Lu (2019)
A round-robin finite element analysis of human femur mechanics between seven participating laboratories with experimental validation
D. Kluess (2019)
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Patient-specific design process and evaluation of a hip prosthesis femoral stem
Osama Abdelaal (2019)
In-silico models of trabecular bone: a sensitivity analysis perspective
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