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Mesh generation and boundary conditions

Inverse model of human lumbar spine based on CT image and finite element analysis

Peng Gao


In order to accurately analyze the most vulnerable fracture points of normal human lumbar vertebrae under upright position, walking and left-right rotation, the spiral computer tomography (CT) was used to scan the segment from the upper edge of lumbar vertebra L1 to the lower edge of lumbar vertebra L5. After reading CT images with Mimics software, the threshold analysis, area segmentation and the whole filling were carried out. The generated 3D geometric model was reconstructed using the Finite Element Analysis (FEA) module of Mimics, and the 3D lumbar model with intervertebral disc established by UG software was used. The model was imported into ANSYS Workbench for finite element analysis. The results showed that when the human body was upright, the displacement of the vertebral body was larger than that of the articular process. The displacement of the leading edge of the upper surface of the disc was the largest and equal to 0.161 mm. The equivalent stress is concentrated on the articular process and spinous process, and the stress on the lower articular process of the L4 is the largest (15.073 MPa) indicating that the relative error between the finite element analysis result and the theoretical calculation result is small. Hence, it proves that the method is correct and feasible.


CT image; inverse modeling; finite element analysis

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Y. Tao et al., “Biomechanical characteristics of lumbar vertebra fixation based on finite element analysis,” Chinese J. Tissue Eng. Res., vol. 20, no. 13, pp. 1932–1938, 2016, doi:

V. Argesanu et al., “Highlighting the maxillofacial trauma influence on posture by FEA modeling simulation,” in 2016 IEEE 14th International Symposium on Intelligent Systems and Informatics (SISY), 2016, pp. 129–134, doi:

H. Li, F. Li, N. Liu, P. Li, “Risk prediction of femoral head necrosis: A finite element analysis based on fracture mechanics,” Int. J. Comput. Methods, vol. 17, no. 06, p. 1950019, 2020, doi:

H. M. Xu, S. L. Pu, Y. G. Jiang, X. Y. Li, P. Dong, “Establishment and preliminary application of a laryngomalacia larynx three-dimension model,” Lin chuang er bi yan hou tou jing wai ke za zhi = J. Clin. Otorhinolaryngol. head, neck Surg., vol. 32, no. 12, pp. 891–894, 2018, doi:

H. Chen, Y. Sun, Q. Zhang, Y. Hu, Y. Sun, “Deformation analysis of lumbar spine based on mechanics of materials and finite element method,” in 2017 IEEE International Conference on Robotics and Biomimetics (ROBIO), 2017, vol. 2018-Janua, pp. 1358–1362, doi:

I. A. Sushko, “Visualization of surface conductivity distributions of tomography cross-section using conductivity zones method,” Radioelectron. Commun. Syst., vol. 56, no. 7, pp. 377–383, 2013, doi:

H. Luo, G. Liu, J. Fu, C. Yu, “Vibration Response Analysis of the Lumbar Spine based on High-speed Train Crew,” in 2017 IEEE 7th Annual International Conference on CYBER Technology in Automation, Control, and Intelligent Systems (CYBER), 2017, pp. 220–224, doi:

J. P. Gjolaj, S. Elmasry, S. Asfour, F. Travascio, F. J. Eismont, “Implications of decompressive surgical procedures for lumbar spine stenosis on the biomechanics of the adjacent segment: a finite element analysis,” Spine J., vol. 15, no. 10, pp. S96–S97, 2015, doi:

Z. Zhang, Y. Li, Z. Liao, W. Liu, “Research progress and prospect of applications of finite element method in lumbar spine biomechanics,” Sheng wu yi xue gong cheng xue za zhi = J. Biomed. Eng. = Shengwu yixue gongchengxue zazhi, vol. 33, no. 6, pp. 1196–1202, 2016, uri:

Q. H. Zhang, E. C. Teo, “Finite element application in implant research for treatment of lumbar degenerative disc disease,” Med. Eng. Phys., vol. 30, no. 10, pp. 1246–1256, 2008, doi:

C. Yaldiz et al., “Comparison of the rigid rod system with modular plate with the finite element analysis in short-segment posterior stabilization in the lower lumbar region,” Turkish Neurosurg., vol. 27, no. 4, pp. 610–616, 2017, doi:

E. Punarselvam, P. Suresh, “Investigation on human lumbar spine MRI image using finite element method and soft computing techniques,” Clust. Comput., vol. 22, no. 6, pp. 13591–13607, 2019, doi:

D. S. Shin, K. Lee, D. Kim, “Biomechanical study of lumbar spine with dynamic stabilization device using finite element method,” CAD Comput. Aided Des., vol. 39, no. 7, pp. 559–567, 2007, doi:

M. V. Kononov, O. A. Nagulyak, A. V. Netreba, A. A. Sudakov, “Reconstruction in NMR by the method of signal matrix pseudoinversion,” Radioelectron. Commun. Syst., vol. 51, no. 10, pp. 531–533, 2008, doi:

Y. Guo, G. Song, “Ergonomic seat design based on high-speed rail random vibration environment effects on human lumbar,” Zhongguo Jixie Gongcheng/China Mech. Eng., vol. 26, no. 3, pp. 389–393, 2015, doi:

A. Tsouknidas, K. Anagnostidis, G. Maliaris, N. Michailidis, “Fracture risk in the femoral hip region: A finite element analysis supported experimental approach,” J. Biomech., vol. 45, no. 11, pp. 1959–1964, 2012, doi:

J. M. Liu et al., “The effect of screw tunnels on the biomechanical stability of vertebral body after pedicle screws removal: a finite element analysis,” Int. Orthop., vol. 41, no. 6, pp. 1183–1187, 2017, doi:

K. Li, J. Zhang, J. Jiang, S. Ma, “Lumbar spinal finite element analysis in a gravity environment,” in Eighth International Conference on Digital Image Processing (ICDIP 2016), 2016, vol. 10033, p. 100334H, doi:

M. V. Kononov, O. A. Nagulyak, A. V. Netreba, “Influence of X-radiation in receiver system on reconstruction performance of projection tomography,” Radioelectron. Commun. Syst., vol. 51, no. 3, pp. 163–165, 2008, doi:

X. Wang et al., “Prediction of new clinical vertebral fractures in elderly men using finite element analysis of CT scans,” J. Bone Miner. Res., vol. 27, no. 4, pp. 808–816, 2012, doi:

D. H. Pahr, P. K. Zysset, “Finite element-based mechanical assessment of bone quality on the basis of in vivo images,” Curr. Osteoporos. Reports, vol. 14, no. 6, pp. 374–385, 2016, doi:

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