Online citations, reference lists, and bibliographies.

Individual Density-elasticity Relationships Improve Accuracy Of Subject-specific Finite Element Models Of Human Femurs.

S. Eberle, M. Goettlinger, P. Augat
Published 2013 · Medicine, Engineering

Cite This
Download PDF
Analyze on Scholarcy
In a previous study on subject-specific finite-element-models, we found that appropriate density-elasticity relationships to compute the mechanical behavior of femurs seem to be subject-specific. The purpose of this study was to test the hypothesis that the predictive error of a cohort of subject-specific finite element-models is lower with subject-specific density-elasticity relationships than with a cohort-specific density-elasticity relationship. Finite-element-analysis and inverse optimization based on response surface methodology were employed to test the hypothesis. Subject-specific FE-models of 17 human femurs and corresponding experimental data from biomechanical tests were taken from a previous study. A power function for the relation between radiological bone density and elastic modulus was set up with the optimization variables a and b: E(MPa)=aρqCT(b)(gK2HPO4/cm(3)). The goal of the optimization was to minimize the root-mean-square error in percent (RMSE%) between computational and experimental results. A Wilcoxon test (p=0.05) was performed on all absolute relative errors between the two groups (subject-specific functions vs. cohort-specific function). The subject-specific functions resulted in a 6% lower overall prediction error and a 6% lower RMSE% than the cohort-specific function (p<0.001). The determined subject-specific relations were mostly linear, with variable a ranging from 9307 to 15673 and variable b ranging from 0.68 to 1.40. For the cohort-specific relation, the following power law was obtained: E(MPa)=12486ρqCT(1.16)(gK2HPO4/cm(3)). We conclude that individual density-elasticity relationships improve the accuracy of subject-specific finite element models. Future subject-specific finite-element-analyses of bones should include the individuality of the elastic properties by a stochastic density-elasticity relationship with mean and standard deviation of a and b.
This paper references
Subject-specific finite element models can accurately predict strain levels in long bones.
E. Schileo (2007)
Improving the validation of finite element models with quantitative full-field strain comparisons.
F. Gröning (2012)
Multi-axial mechanical properties of human trabecular bone
Liliana Rincón-Kohli (2009)
Anatomic variation in the elastic inhomogeneity and anisotropy of human femoral cortical bone tissue is consistent across multiple donors.
David J Rudy (2011)
Relations of mechanical properties to density and CT numbers in human bone.
J. Rho (1995)
Trabecular bone modulus-density relationships depend on anatomic site.
E. Morgan (2003)
Mathematical relationships between bone density and mechanical properties: a literature review.
B. Helgason (2008)
A new method to evaluate the elastic modulus of cortical bone by using a combined computed tomography and finite element approach
H. Huang (2010)
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 (2013)
The effect of the density-modulus relationship selected to apply material properties in a finite element model of long bone.
R. Austman (2008)
Are spontaneous fractures possible? An example of clinical application for personalised, multiscale neuro-musculo-skeletal modelling.
M. Viceconti (2012)
Cortical bone finite element models in the estimation of experimentally measured failure loads in the proximal femur.
Janne E. M. Koivumäki (2012)
A modified method for assigning material properties to FE models of bones.
B. Helgason (2008)
Anatomic variation in the elastic anisotropy of cortical bone tissue in the human femur.
A. E. Espinoza Orías (2009)
Toward verified and validated FE simulations of a femur with a cemented hip prosthesis.
Zohar Yosibash (2013)
Reliable simulations of the human proximal femur by high-order finite element analysis validated by experimental observations.
Z. Yosibash (2007)
Apparent Young's modulus of human radius using inverse finite-element method.
M. Bosisio (2007)
An accurate estimation of bone density improves the accuracy of subject-specific finite element models.
E. Schileo (2008)
A new approach to determine the accuracy of morphology-elasticity relationships in continuum FE analyses of human proximal femur.
J. Hazrati Marangalou (2012)
The role of fabric in the quasi-static compressive mechanical properties of human trabecular bone from various anatomical locations
M. Matsuura (2008)
Quantitative CT with finite element analysis: towards a predictive tool for bone remodelling around an uncemented tapered stem
V. Shim (2012)
Probabilistic finite element analysis using ANSYS
S. Reh (2006)
Estimation of mechanical properties of cortical bone by computed tomography
S. Snyder (1991)
Development of a customized density—modulus relationship for use in subject-specific finite element models of the ulna
R. Austman (2009)
Prediction of the mechanical response of the femur with uncertain elastic properties.
Hagen Wille (2012)
In situ parameter identification of optimal density-elastic modulus relationships in subject-specific finite element models of the proximal femur.
A. Cong (2011)
Patient-specific finite element analysis of the human femur--a double-blinded biomechanical validation.
N. Trabelsi (2011)
A global relationship between trabecular bone morphology and homogenized elastic properties.
P. Zysset (1998)
Response Surface Methodology: Process and Product in Optimization Using Designed Experiments
R. Myers (1995)
The role of collagen in the declining mechanical properties of aging human cortical bone.
Peter Zioupos (1999)
Compressive mechanical properties of demineralized and deproteinized cancellous bone.
P. Chen (2011)

This paper is referenced by
On the uncertainty quantification and non-linear hyper elastic simulation of biological tissues
Behrouz Shamsaei (2016)
Synchrotron Imaging Assessment of Bone Quality
S. Ma (2016)
Quantitative Computed Tomography (QCT) derived Bone Mineral Density (BMD) in finite element studies: a review of the literature
N. Knowles (2016)
Polyethylene glenoid component fixation geometry influences stability in total shoulder arthroplasty
N. Knowles (2019)
Uncertainty quantification for personalized analyses of human proximal femurs.
H. Wille (2016)
Characterization of Bone Material Properties and Microstructure in Osteogenesis Imperfecta/Brittle Bone Disease
J. Jameson (2014)
Dynamic Finite Element Analysis of Impulsive Stress Waves Propagating from the Greater Trochanter of the Femur by a Sideways Fall.
Takaaki Sarai (2015)
Experimental validation of finite element predicted bone strain in the human metatarsal.
Anita Fung (2017)
New insights on the proximal femur biomechanics using Digital Image Correlation.
Y. Katz (2020)
Optimizing Accuracy of Proximal Femur Elastic Modulus Equations
A. Rezaei (2019)
Predicting muscle fatigue: a response surface approximation based on proper generalized decomposition technique
Marcial Sierra (2017)
Specimen-specific modeling of hip fracture pattern and repair.
Azhar A. Ali (2014)
Effects of densitometry, material mapping and load estimation uncertainties on the accuracy of patient-specific finite-element models of the scapula
G. Campoli (2014)
Cortical bone mapping improves finite element strain prediction accuracy at the proximal femur.
Enrico Schileo (2020)
Patient-Specific Bone Multiscale Modelling, Fracture Simulation and Risk Analysis—A Survey
Amadeus C S de Alcântara (2019)
Development of a computational approach to assess hip fracture and repair: Considerations of intersubject and surgical alignment variability
A. Ali (2013)
A round-robin finite element analysis of human femur mechanics between seven participating laboratories with experimental validation
D. Kluess (2019)
Validation and sensitivity of model-predicted proximal tibial displacement and tray micromotion in cementless total knee arthroplasty under physiological loading conditions.
Huizhou Yang (2020)
The Effect of Inhomogeneous Trabecular Stiffness Relationship Selection on Finite Element Outcomes for Shoulder Arthroplasty.
Jacob M. Reeves (2019)
Methods for Post Hoc Quantitative Computed Tomography Bone Density Calibration: Phantom-Only and Regression.
J. Reeves (2018)
Potential for estimation of Young's modulus based on computed tomography numbers in bone: A validation study using a nano-indentation test on murine maxilla
Hideaki Inagawa (2018)
Combining ultrasonic and computed tomography scanning to characterize mechanical properties of cancellous bone in necrotic human femoral heads.
Yue Yue (2019)
Four decades of finite element analysis of orthopaedic devices: where are we now and what are the opportunities?
M. Taylor (2015)
Patient-specific bone modeling and analysis: the role of integration and automation in clinical adoption.
A. A. Zadpoor (2015)
Semantic Scholar Logo Some data provided by SemanticScholar