Automated finite element modeling of the lumbar spine: Using a statistical shape model to generate a virtual population of models

Campbell, J. Quinn; Petrella, Anthony J.

doi:10.1016/j.jbiomech.2016.05.013

Cited by 39 publications

(27 citation statements)

References 57 publications

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“…However, these researchers reported values of c 10 that differed from zero. On the other hand, the c 01 value is very close to that reported (c 01 = 0.25) by Campbell and Petrella [48]. Using the Yeoh function to represent the mechanical behavior of the ground substance produced several set of values of the mechanical constants with a good fit to the experimental data.…”

Section: Discussionsupporting

confidence: 86%

Evaluation of the Use of the Yeoh and Mooney-Rivlin Functions as Strain Energy Density Functions for the Ground Substance Material of the Annulus Fibrosus

Jaramillo

2018

Mathematical Problems in Engineering

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Due to the importance of the intervertebral disc in the mechanical behavior of the human spine, special attention has been paid to it during the development of finite element models of the human spine. The mechanical behavior of the intervertebral disc is nonlinear, heterogeneous, and anisotropic and, due to the low permeability, is usually represented as a hyperelastic model. The intervertebral disc is composed of the nucleus pulposus, the endplates, and the annulus fibrosus. The annulus fibrosus is modeled as a hyperelastic matrix reinforced with several fiber families, and researchers have used different strain energy density functions to represent it. This paper presents a comparative study between the strain energy density functions most frequently used to represent the mechanical behavior of the annulus fibrosus: the Yeoh and Mooney-Rivlin functions. A finite element model of the annulus fibrosus of the L4-L5 segment under the action of three independent and orthogonal moments of 8 N-m was used, employing Abaqus software. A structured mesh with eight divisions along the height and the radial direction of annulus fibrosus and tetrahedron elements for the endplates were used, and an exponential energy function was employed to represent the mechanical behavior of the fibers. A total of 16 families were used; the fiber orientation varied with the radial coordinate from 25° on the outer boundary to 46° on the inner boundary, measuring it with respect to the transverse plane. The mechanical constants were taken from the reported literature. The range of motion was obtained by finite element analysis using different values of the mechanical constants and these results were compared with the reported experimental data. It was found that the Yeoh function showed a better fit to the experimental range of motion than the Mooney-Rivlin function, especially in the nonlinear region.

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Section: Discussionsupporting

confidence: 86%

Evaluation of the Use of the Yeoh and Mooney-Rivlin Functions as Strain Energy Density Functions for the Ground Substance Material of the Annulus Fibrosus

Jaramillo

2018

Mathematical Problems in Engineering

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“…With the development of computer technology and finite element (FE) technology, more and more researches on the human spine biomechanics using FE method are now available. FE study of human spine biomechanics is developing towards the automation of the modeling process [8,9], the optimization of simulation methods [10], the diversification of clinical evaluation [11,12], and the clinicalization of artificial lumbar discs [13]. The application of FE method to study human biomechanics has great advantages.…”

Section: Introductionmentioning

confidence: 99%

The Finite Element Model of Seated Whole Human Body for Vibration Investigations of Lumbar Spine in Complex System

et al. 2020

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The dynamic of human body with three-dimensional (3D) anatomical structure is not considered in the vehicle system dynamics. Moreover, the dynamic of the lumbar spine is not studied in the finite element (FE) model of the seated human, and the influence of external conditions on it is not considered. The aim of the study is to propose a comprehensive dynamic model and an analysis method to study the dynamic of the lumbar spine in a complex system. It is investigated by extracting the first six modals of different lumbar spine FE models (eight models), and the dynamic responses of the lumbar spine under white noise excitation are analyzed by random response method. It is found that the mode deformation and the resonant frequencies of the lumbar spine in vivo and vitro model are significantly different, and the peak response value of the lumbar spine is at the resonant frequency. It is concluded that the influence of vibration on the lumbar spine could be more comprehensively and visually studied by analyzing the displacement response power spectrum of FE model of the seated human body. This study provides a new method and reference for the subsequent study of the vibration behavior of the lumbar spine in complex system (especially in vehicle system dynamics), and the finding is helpful for us to find more and better protection methods of human body. INDEX TERMS seated human body model, dynamic mechanical behavior, vibration, complex system, random response analysis.

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“…To aid interpretation, shape modes can be related to physical measures. 59 In this study, the first shape mode seems to be both statistically and physically the most relevant. However, this may not always be the case.…”

Section: Discussionmentioning

confidence: 68%

Combining statistical shape modeling, CFD, and meta‐modeling to approximate the patient‐specific pressure‐drop across the aortic valve in real‐time

Hoeijmakers

Waechter-Stehle

Weese

et al. 2020

Numer Methods Biomed Eng

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Background: Advances in medical imaging, segmentation techniques, and high performance computing have stimulated the use of complex, patient-specific, three-dimensional Computational Fluid Dynamics (CFD) simulations. Patient-specific, CFD-compatible geometries of the aortic valve are readily obtained. CFD can then be used to obtain the patient-specific pressure-flow relationship of the aortic valve. However, such CFD simulations are computationally expensive, and real-time alternatives are desired. Aim: The aim of this work is to evaluate the performance of a meta-model with respect to high-fidelity, three-dimensional CFD simulations of the aortic valve. Methods: Principal component analysis was used to build a statistical shape model (SSM) from a population of 74 iso-topological meshes of the aortic valve. Synthetic meshes were created with the SSM, and steady-state CFD simulations at flow-rates between 50 and 650 mL/s were performed to build a metamodel. The meta-model related the statistical shape variance, and flow-rate to the pressure-drop. Results: Even though the first three shape modes account for only 46% of shape variance, the features relevant for the pressure-drop seem to be captured. The three-mode shape-model approximates the pressure-drop with an average error of 8.8% to 10.6% for aortic valves with a geometric orifice area below 150 mm 2. The proposed methodology was least accurate for aortic valve areas above 150 mm 2. Further reduction to a meta-model introduces an additional 3% error.

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Automated finite element modeling of the lumbar spine: Using a statistical shape model to generate a virtual population of models

Cited by 39 publications

References 57 publications

Evaluation of the Use of the Yeoh and Mooney-Rivlin Functions as Strain Energy Density Functions for the Ground Substance Material of the Annulus Fibrosus

Evaluation of the Use of the Yeoh and Mooney-Rivlin Functions as Strain Energy Density Functions for the Ground Substance Material of the Annulus Fibrosus

The Finite Element Model of Seated Whole Human Body for Vibration Investigations of Lumbar Spine in Complex System

Combining statistical shape modeling, CFD, and meta‐modeling to approximate the patient‐specific pressure‐drop across the aortic valve in real‐time

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