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Uncertainty Quantification For Personalized Analyses Of Human Proximal Femurs.

H. Wille, M. Ruess, E. Rank, Z. Yosibash
Published 2016 · Medicine, Engineering

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Computational models for the personalized analysis of human femurs contain uncertainties in bone material properties and loads, which affect the simulation results. To quantify the influence we developed a probabilistic framework based on polynomial chaos (PC) that propagates stochastic input variables through any computational model. We considered a stochastic E-ρ relationship and a stochastic hip contact force, representing realistic variability of experimental data. Their influence on the prediction of principal strains (ϵ1 and ϵ3) was quantified for one human proximal femur, including sensitivity and reliability analysis. Large variabilities in the principal strain predictions were found in the cortical shell of the femoral neck, with coefficients of variation of ≈40%. Between 60 and 80% of the variance in ϵ1 and ϵ3 are attributable to the uncertainty in the E-ρ relationship, while ≈10% are caused by the load magnitude and 5-30% by the load direction. Principal strain directions were unaffected by material and loading uncertainties. The antero-superior and medial inferior sides of the neck exhibited the largest probabilities for tensile and compression failure, however all were very small (pf<0.001). In summary, uncertainty quantification with PC has been demonstrated to efficiently and accurately describe the influence of very different stochastic inputs, which increases the credibility and explanatory power of personalized analyses of human proximal femurs.
This paper references
10.1016/J.CMA.2008.02.036
The finite cell method for three-dimensional problems of solid mechanics
A. Düster (2008)
10.1016/j.medengphy.2012.09.007
Toward verified and validated FE simulations of a femur with a cemented hip prosthesis.
Zohar Yosibash (2013)
10.1137/S1064827501387826
The Wiener-Askey Polynomial Chaos for Stochastic Differential Equations
D. Xiu (2002)
10.1016/j.jbiomech.2014.08.024
To what extent can linear finite element models of human femora predict failure under stance and fall loading configurations?
E. Schileo (2014)
10.1080/10255842.2011.564163
A numerically validated probabilistic model of a simplified total hip replacement construct
L. Mehrez (2012)
10.3233/BME-2010-0616
Realistic loads for testing hip implants.
G. Bergmann (2010)
10.1016/j.jbiomech.2011.03.024
Patient-specific finite element analysis of the human femur--a double-blinded biomechanical validation.
N. Trabelsi (2011)
10.1115/1.2888303
Polynomial Chaos in Stochastic Finite Elements
R. Ghanem (1990)
10.1016/J.JBIOMECH.2007.02.010
Subject-specific finite element models can accurately predict strain levels in long bones.
E. Schileo (2007)
Musculo-skeletal loading conditions at the hip during walking and stair climbing
M. O. Hellera (2001)
10.1016/J.IJFATIGUE.2004.12.009
A probabilistic damage model for acrylic cements. Application to the life prediction of cemented hip implants
J. Grasa (2005)
Quadrature and interpolation formulas for tensor products of certain classes of functions
S. A. Smolyak (1963)
10.1016/j.jbiomech.2013.10.033
Specimen-specific modeling of hip fracture pattern and repair.
Azhar A. Ali (2014)
10.1016/J.JBIOMECH.2006.10.038
Physiologically based boundary conditions in finite element modelling.
A. Speirs (2007)
10.1016/j.jbiomech.2008.10.039
Validation of subject-specific automated p-FE analysis of the proximal femur.
N. Trabelsi (2009)
10.1016/j.jbiomech.2009.09.039
Probabilistic finite element analysis of the uncemented hip replacement--effect of femur characteristics and implant design geometry.
Carolina Dopico-González (2010)
10.1016/j.jbiomech.2015.01.041
Stochastic description of the peak hip contact force during walking free and going upstairs.
Zohar Yosibash (2015)
10.1007/S00466-007-0173-Y
Finite cell method
J. Parvizian (2007)
10.1016/j.ress.2007.04.002
Global sensitivity analysis using polynomial chaos expansions
B. Sudret (2008)
10.1007/s10237-011-0322-2
The finite cell method for bone simulations: verification and validation
M. Ruess (2012)
10.1115/1.3078172
Effect of geometrical uncertainty on cemented hip implant structural integrity.
M. T. Bah (2009)
10.1016/S0021-9290(01)00040-9
Hip contact forces and gait patterns from routine activities.
G. Bergmann (2001)
10.1016/j.jbiomech.2013.06.035
Individual density-elasticity relationships improve accuracy of subject-specific finite element models of human femurs.
Sebastian Eberle (2013)
10.1098/rsta.2010.0074
Predicting the yield of the proximal femur using high-order finite-element analysis with inhomogeneous orthotropic material properties
Z. Yosibash (2010)
10.1016/J.JBIOMECH.2007.09.009
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)
Global sensitivity indices for nonlinear mathematical models and their Monte Carlo estimates
I. Sobol (2001)
10.1115/1.1372701
Design and analysis of robust total joint replacements: finite element model experiments with environmental variables.
P. B. Chang (2001)
10.1016/J.JBIOMECH.2005.03.024
Primary stability of an anatomical cementless hip stem: a statistical analysis.
M. Viceconti (2006)
10.1016/J.CLINBIOMECH.2007.08.024
Mathematical relationships between bone density and mechanical properties: a literature review.
B. Helgason (2008)
10.1115/1.1767847
Verification, Validation, and Predictive Capability in Computational Engineering and Physics
W. Oberkampf (2004)
10.1016/S0021-9290(03)00257-4
Comparison of the elastic and yield properties of human femoral trabecular and cortical bone tissue.
Harun H. Bayraktar (2004)
10.1016/J.JBIOMECH.2005.03.010
The effect of three-dimensional shape optimization on the probabilistic response of a cemented femoral hip prosthesis.
D. Nicolella (2006)
10.1243/09544119JEIM497
Strain distribution in the proximal human femoral metaphysis
L. Cristofolini (2009)
10.1016/J.MEDENGPHY.2006.10.014
The material mapping strategy influences the accuracy of CT-based finite element models of bones: an evaluation against experimental measurements.
F. Taddei (2007)
10.1115/1.4003259
A stochastic collocation method for uncertainty quantification and propagation in cardiovascular simulations.
Sethuraman Sankaran (2011)
10.1016/j.jbiomech.2012.02.006
Prediction of the mechanical response of the femur with uncertain elastic properties.
Hagen Wille (2012)
10.3109/10929080802195783
Accuracy assessment of CT-based outer surface femur meshes
F. Gelaude (2008)
10.1016/J.JBIOMECH.2006.08.003
Prediction of strength and strain of the proximal femur by a CT-based finite element method.
M. Bessho (2007)
10.1016/J.JBIOMECH.2005.05.025
Probabilistic analysis of the influence of the bonding degree of the stem-cement interface in the performance of cemented hip prostheses.
M. A. Pérez (2006)
Loading and material property uncertainties in finite element analysis for orthopedics
S. Chinchalkar (1989)
10.1098/rsta.2010.0046
Mechanical testing of bones: the positive synergy of finite–element models and in vitro experiments
L. Cristofolini (2010)
10.1016/S1350-4533(03)00081-X
Comparison of in situ and in vitro CT scan-based finite element model predictions of proximal femoral fracture load.
J. Keyak (2003)
10.1016/J.JBIOMECH.2007.03.013
Incorporating uncertainty in mechanical properties for finite element-based evaluation of bone mechanics.
P. Laz (2007)
HIP98 - Loading of the Hip Joint. Julius Wolff Institute, Charité - Universitätsmedizin Berlin http://www.OrthoLoad.com
G. Bergmann (2001)
10.1002/jor.20884
Hip resurfacing increases bone strains associated with short‐term femoral neck fracture
J. P. Long (2009)
10.1002/WILM.42820050114
Global sensitivity indices for nonlinear mathematical models. Review
I. Sobol (2005)
Fast numerical methods for stochastic computations: A review
D. Xiu (2009)
10.1016/J.JECONOM.2007.12.004
Likelihood approximation by numerical integration on sparse grids
Florian Heiss (2008)
10.1109/TBME.2006.879473
Finite-Element Modeling of Bones From CT Data: Sensitivity to Geometry and Material Uncertainties
F. Taddei (2006)
OrthoLoad Database. Charité - Universitätsmedizin Berlin. 〈http://www.OrthoLoad.com
G. Bergmann (2008)



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