儿童颈椎C2~C7节段生物力学特性的有限元研究
Finite Element Study on Biomechanical Characteristics of C2~C7 Segments of Cervical Spine in Children
DOI: 10.12677/MOS.2024.132130, PDF,   
作者: 张翠述, 赵改平*:上海理工大学健康科学与工程学院,上海;马 童:上海市杨浦区中心医院骨科,上海
关键词: 儿童颈椎C2~C7有限元模型不同载荷生物力学研究Cervical Spine of the Children C2~C7 Finite Element Model Different Loads Biomechanical Study
摘要: 研究儿童正常颈椎C2~C7节段的生物力学特性和不同载荷作用下儿童颈椎生物力学特性的变化规律。基于儿童颈椎CT数据,建立两个6岁儿童C2~C7颈椎有限元模型并验证有效性,施加21 N集中力和0.5、1.0、1.5、2.0 N∙m力矩分析不同工况下颈椎的关节活动度(range of motion, ROM)、椎体应力和椎间盘压力的分布特征。结果表明,力矩等值增加时两模型C2~C7颈椎ROM和应力在前屈、后伸、侧弯和旋转工况均呈现非线性增长。21 N集中力和0.5 N∙m力矩下模型1和模型2颈椎C2~C7整体ROM在前屈、后伸、侧弯和旋转时分别为8.3˚、19.07˚、25.14˚、28.2˚和10.91˚、20.08˚、18.92˚、27.61˚,两模型1.0、1.5、2.0 N∙m力矩下较0.5 N∙m时ROM最大分别增加了21.19˚、27.84˚、36.83˚和19.08˚、30.05˚、38.31˚。21 N集中力和0.5 N∙m力矩下模型1和模型2颈椎C2~C7椎体最大应力在前屈、后伸、侧弯和旋转时分别为3.19、11.75、5.93、4.84 MPa和3.96、9.81、6.71、5.89 MPa,两模型1.0、1.5、2.0 N∙m力矩下较0.5 N∙m时应力最大增幅分别为133.54%、203.76%、286.21%和83.33%、138.38%、220.20%。儿童椎间盘应力均为前屈时最小、后伸时最大,椎体与椎间盘应力分布特征与前人研究基本一致。两儿童ROM、应力大小与分布特征相近,儿童C2~C7颈椎ROM大于成人,椎体与椎间盘应力值小于成人,对儿童颈椎病进行预防治疗时应考虑儿童颈椎与成人的差异。
Abstract: To investigate the biomechanical characteristics of normal cervical vertebra C2~C7 segments in children and the variations in the biomechanical characteristics of the pediatric cervical spine un-der different loads. Finite element models of the C2~C7 cervical spine for 6-year-old children were established based on cervical spine CT data and validated for effectiveness, applying loads of 21 N and 0.5, 1.0, 1.5, 2.0 N·m to the models to analyze the joint range of motion (ROM), vertebral stress, and intervertebral disc pressure distribution characteristics under different motion conditions of the cervical spine. The ROM and stress values in the C2~C7 cervical spine of two models exhibit non-linear increases with the torque increasing during flexion, extension, lateral bending, and rotation movements. Under 21 N concentrated force and 0.5 N·m torque, the overall ROM of C2~C7 in the cervical spine of model 1 and model 2 were 8.3˚, 19.07˚, 25.14˚, 28.2˚ and 10.91˚, 20.08˚, 18.92˚ and 27.61˚, respectively under flexion, extension, lateral bending and rotation. The ROM of the two models increased by up to 21.19˚, 27.84˚, 36.83˚ and 19.08˚, 30.05˚, 38.31˚, respectively, when the torque of 1.0, 1.5 and 2.0 N·m was compared with that of 0.5 N·m. Under 21 N concentrated force and 0.5 N·m torque, the maximum stress of C2~C7 vertebrae in model 1 and model 2 were 3.19, 11.75, 5.93, 4.84 MPa and 3.96, 9.81, 6.71, 5.89 MPa in flexion, extension, lateral bending and rota-tion, respectively. Compared with 0.5 N·m, the maximum stress increases of the two models under 1.0, 1.5 and 2.0 N·m torque are 133.54%, 203.76%, 286.21% and 83.33%, 138.38% and 220.20%, respectively. The stress of intervertebral disc in children is the minimum in flexion and the maxi-mum in extension, and the stress distribution characteristics of vertebral body and intervertebral disc are basically consistent with previous studies. The ROM and stress size and distribution char-acteristics of the two children are similar, the ROM of the cervical spine of children C2~C7 is larger than that of adults, and the stress value of the vertebral body and intervertebral disc is smaller than that of adults. The difference between the cervical spine of children and that of adults should be considered in the prevention and treatment of cervical spondylosis in children.
文章引用:张翠述, 赵改平, 马童. 儿童颈椎C2~C7节段生物力学特性的有限元研究[J]. 建模与仿真, 2024, 13(2): 1381-1390. https://doi.org/10.12677/MOS.2024.132130

参考文献

[1] 张跃辉, 邵将, 宋佳, 等. 椎弓根螺钉技术在学龄前儿童寰枢椎脱位治疗中的应用[J]. 脊柱外科杂志, 2016, 14(4): 211-215.
[2] Hasan, S., Waheed, M., Suhrawardy, A.K., et al. (2022) Pediatric Upper Cervical Spine Trauma: A 10-Year Retrospective Review at a Pediatric Trauma Center. Cureus, 14, e20995. [Google Scholar] [CrossRef] [PubMed]
[3] 曹立波, 魏嵬, 张冠军. 3岁儿童 C4-C5颈椎有限元模型开发及拉伸, 弯曲验证[J]. 中国生物医学工程学报, 2015, 34(1): 37-45.
[4] Li, Z., Song, G., Su, Z., et al. (2020) Development, Validation, and Application of Ligamentous Cervical Spinal Segment C6-C7 of a Six-Year-Old Child and an Adult. Computer Methods and Programs in Biomedicine, 183, Article ID: 105080. [Google Scholar] [CrossRef] [PubMed]
[5] Dong, L., Li, G., Mao, H., et al. (2013) Development and Val-idation of a 10-Year-Old Child Ligamentous Cervical Spine Finite Element Model. Annals of Biomedical Engineering, 41, 2538-2552. [Google Scholar] [CrossRef] [PubMed]
[6] 吕文乐, 阮世捷, 李海岩, 等. 6岁儿童全颈有限元模型的构建及验证[J]. 医用生物力学, 2016, 31(2): 95-101.
[7] Li, Z., Zhou, J., Qu, X., et al. (2022) Finite Element Analysis and Compara-tive Study of 4 Kinds of Internal Fixation Systems for Anterior Cervical Discectomy and Fusion in Children. Computational and Mathematical Methods in Medicine, 2022, Article ID: 607292. [Google Scholar] [CrossRef] [PubMed]
[8] Luck, J.F., Nightingale, R.W., Loyd, A.M., et al. (2008) Tensile Mechanical Properties of the Perinatal and Pediatric PMHS Osteoliga-mentous Cervical Spine. Stapp Car Crash Journal, 52, 107-134. [Google Scholar] [CrossRef] [PubMed]
[9] Ouyang, J., Zhu, Q., Zhao, W., et al. (2005) Biomechanical Assessment of the Pediatric Cervical Spine under Bending and Tensile Loading. Spine, 30, E716-E723. [Google Scholar] [CrossRef] [PubMed]
[10] Jug, M. (2021) A 3D-Printed Model-Assisted Cervical Spine Instrumentation after Tumor Resection in a 4-Year-Old Child: A Case Report. Pediatric Neurosurgery, 56, 254-260. [Google Scholar] [CrossRef] [PubMed]
[11] Mertz, H. and Irwin, A. (1997) Biomechanical Basis for the CRABI and Hybrid III Child Dummies. SAE Transactions, 106, 3551-3562. [Google Scholar] [CrossRef
[12] Kumaresan, S., Yoganandan, N. and Pintar, F.A. (1998) Finite Element Modeling Approaches of Human Cervical Spine Facet Joint Capsule. Journal of Bio-mechanics, 31, 371-376. [Google Scholar] [CrossRef
[13] Currey, J.D. (2004) Tensile Yield in Compact Bone Is Determined by Strain, Post-Yield Behaviour by Mineral Content. Journal of Biomechanics, 37, 549-556. [Google Scholar] [CrossRef] [PubMed]
[14] Yamada, H. (1970) Strength of Biological Materials. Williams and Wilkins, Baltimore.
[15] Ivarsson, B.J., Crandall, J.R., Longhitano, D., et al. (2004) Lateral Injury Criteria for the 6-Year-Old Pedestrian-Part I: Criteria for the Head, Neck, Thorax, Abdomen and Pelvis. SAE Technical Paper 2004-01-0323. [Google Scholar] [CrossRef
[16] 杨常锐, 刘海波, 宫赫. C2~7颈椎振动特性的有限元分析[J]. 医用生物力学, 2018, 33(4): 300-305.
[17] Basa, S. and Balasubramanian, V. (2006) CT Based Three Dimensional Finite Element Model of Cervical Spine. Proceedings of the 2006 International Conference on Biomedical and Pharmaceutical Engineering, Singa-pore, 11-14 December 2006, 217-220.
[18] Toosizadeh, N. and Haghpanahi, M. (2011) Generating a Finite Element Model of the Cervical Spine: Estimating Muscle Forces and Internal Loads. Scientia Iranica, 18, 1237-1245. [Google Scholar] [CrossRef
[19] Panjabi, M.M., Crisco, J.J., Vasavada, A., et al. (2001) Mechanical Properties of the Human Cervical Spine as Shown by Three-Dimensional Load-Displacement Curves. Spine, 26, 2692-2700. [Google Scholar] [CrossRef] [PubMed]
[20] Ito, S., Ivancic, P.C., Panjabi, M.M., et al. (2004) Soft Tissue Injury Threshold during Simulated Whiplash: A Biomechanical Investigation. Spine, 29, 979-987. [Google Scholar] [CrossRef] [PubMed]
[21] Luck, J.F. (2012) The Biomechanics of the Perinatal, Neonatal and Pediatric Cervical Spine: Investigation. PhD Thesis, Duke University, Durham.
[22] Tahmid, S., Love, B.M., Liang, Z., et al. (2023) Cervical Spine Finite Element Models for Healthy Subjects: Development and Validation. Journal of Computing and Information Science in Engineering, 23, Article ID: 044501. [Google Scholar] [CrossRef
[23] Kuriakose, V.A., Karthik, V., Manickam, P.S., et al. (2018) A Biomechanical Study of Cervical Disc Degeneration in C4-C6 Using Finite Element Analysis. IOP Conference Series: Materials Science and Engineering, 402, Article ID: 012007.
[24] Nuckley, D.J., Linders, D.R. and Ching, R.P. (2013) Developmental Biomechanics of the Human Cervical Spine. Journal of Biomechanics, 46, 1147-1154. [Google Scholar] [CrossRef] [PubMed]
[25] 王成林, 王政民, 龚小龙, 等. 颈椎生理曲度X线测量方法研究[J]. 中国中医骨伤科杂志, 1991, 7(2): 3-5.
[26] Herron, M.R., Park, J., Dailey, A.T., et al. (2020) Febio Finite Element Models of the Human Cervical Spine. Journal of Biomechanics, 113, Article ID: 110077. [Google Scholar] [CrossRef] [PubMed]
[27] Manickam, P.S., Vinod, V., Yogesh, V., et al. (2020) Influence of Loading in Cervical Spine Motion Segment and Stress Distribution. IOP Conference Series: Materials Science and Engineering, 912, Article ID: 022051.
[28] Manickam, P.S. and Roy, S. (2022) The Biomechanical Study of Cervical Spine: A Finite Ele-ment Analysis. The International Journal of Artificial Organs, 45, 89-95. [Google Scholar] [CrossRef] [PubMed]
[29] Niemeyer, F., Wilke, H.J. and Schmidt, H. (2012) Geometry Strongly Influences the Response of Numerical Models of the Lumbar Spine—A Probabilistic Finite Element Analysis. Journal of Bio-mechanics, 45, 1414-1423. [Google Scholar] [CrossRef] [PubMed]
[30] Zhang, H. and Bai, J. (2007) Development and Validation of a Finite Element Model of the Occipito-Atlantoaxial Complex under Physiologic Loads. Spine, 32, 968-974. [Google Scholar] [CrossRef] [PubMed]
[31] 陈新民, 郎继孝, 陈德喜, 等. 应用三维有限元模型研究颈椎不同工况下的生物力学变化[J]. 临床骨科杂志, 2003, 6(4): 294-296.