Three-dimensional geometrical and mechanical modelling of the lumbar spine

Lavaste, Francois; Skalli, Wafa; Robin, Stéphane; Roy-Camille, Raymond; Mazel, Christian

Affiliations

¹Laboratoire de Biomkanique, Ecole Nationale Supérieure d’Arts et Métiers, Paris, France

²Département recherche et développement, SOFAMOR SA, Berck sur Mer, France

³Service de Chirurgie Orthopédique, CHU Pitié Salpêière, Paris, France

Abstract

The main objective of this study is to design a three-dimensional geometrical and mechanical finite element model of the lumbar spine. The model's geometry is constructed using six parameters per vertebra. These parameters are digitized from two X-rays (anterioposterior and lateral), thus yielding an individualized model which can be arrived at from the radiographs of a tested specimen. This procedure makes the model validation easier, as geometry is generally a factor of dispersion in experimental results.

The geometrical reconstruction, in the form of a finite elements mesh, was effected for the whole lumbar spine. The global coherence of the model was verified.

Links

DOI: 10.1016/0021-9290(92)90071-8

PubMed: 1400515

WoS: A1992JN79600005

History

Revised: 1992-03-4

Cited Works (14)

Year	Entry
1981	Adams MA, Hutton WC. The relevance of torsion to the mechanical derangement of the lumbar spine. Spine. May–June 1981;6(3):241-248.
1970	Farfan HF, Cossette JW, Robertson GH, Wells RV, Kraus H. The effects of torsion on the lumbar intervertebral joints: the role of torsion in the production of disc degeneration. J Bone Joint Surg. April 1970;52A(3):468-497.
1980	Spilker RL. Mechanical behavior of a simple model of an intervertebral disk under compressive loading. J Biomech. 1980;13(10):895-901.
1987	Stokes IAF. Surface strain on human intervertebral discs. J Orthop Res. 1987;5(3):348-355.
1986	Shirazi-Adl A, Ahmed AM, Shrivastava SC. Mechanical response of a lumbar motion segment in axial torque alone and combined with compression. Spine. November 1986;11(9):914-927.
1982	Adams MA, Hutton WC. Prolapsed intervertebral disc: a hyperflexion injury. Spine. May 1982;7(3):184-191.
1987	Ueno K, Liu YK. A three-dimenstional nonlinear finite element model of lumbar intervertebral joint in torsion. J Biomech Eng. August 1987;109(3):200-209.
1968	Nachemson AL, Evans JH. Some mechanical properties of the third human lumbar interlaminar ligament (ligamentum flavum). J Biomech. August 1968;1(3):211-220.
1984	Shirazi-Adl SA, Shrivastava SC, Ahmed A. Stress analysis of the lumbar disc-body unit in compression: a three-dimensional nonlinear finite element study. Spine. March 1984;9(2):120-134.
1972	Markolf KL. Deformation of the thoracolumbar intervertebral joints in response to external loads: a biomechanical study using autopsy material. J Bone Joint Surg. April 1972;54A(3):511-533.
1982	Tencer AF, Ahmed AM, Burke DL. Some static mechanical properties of the lumbar intervertebral joint, intact and injured. J Biomech Eng. August 1982;104(3):193-201.
1978	Lin HS, Lui YK, Ray G, Nikravesh P. Systems identification for material properties of the intervertebral joint. J Biomech. 1978;11(1-2):1-14.
1976	Panjabi MM, Brand RA Jr, White AA III. Three-dimensional flexibility and stiffness properties of the human thoracic spine. J Biomech. 1976;9(4):185-192.
1976	Kulak RF, Belytschko TB, Schultz AB, Galante JO. Nonlinear behavior of the human intervertebral disc under axial load. J Biomech. 1976;9(6):377-386.

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Year	Entry
2007	Esat V, Acar M. A multi-body model of the whole human spine for whiplash investigations. In: Proceedings of the 20th International Technical Conference on the Enhanced Safety of Vehicles (ESV). June 18-21, 2007; Lyon, France.
1993	de Jager M. Mathematical modelling of the human cervical spine: a survey of the literature. In: Proceedings of the 1993 International IRCOBI Conference on the Biomechanics of Impact. September 8-10, 1993; Eindhoven, The Netherlands.213-227.
2005	Esat V, Acar M. A multi-body human spine model for dynamic analysis in conjunction with the FE analysis of spinal parts. In: Proceedings of the 1st Ohio State University Injury Biomechanics Symposium. May 19-21, 2005; Columbus, OH.
2010	Sigal IA, Whyne CM. Mesh morphing and response surface analysis: quantifying sensitivity of vertebral mechanical behavior. Ann Biomed Eng. 2010;38(1):41-56.
1999	Kumaresan S, Yoganandan N, Pintar FA. Finite element analysis of the cervical spine: a material property sensitivity study. Clin Biomech (Bristol, Avon). January 1999;12(1):41-53.
2001	Weiss JA, Gardiner JC. Computational modeling of ligament mechanics. Crit Rev Biomed Eng. 2001;29(3):303-371.
1994	Shirazi-Adl A. Nonlinear stress analysis of the whole lumbar spine in torsion: mechanics of facet articulation. J Biomech. March 1994;27(3):289-299.
1997	Maurel N, Lavaste F, Skalli W. A three-dimensional parameterized finite element model of the lower cervical spine, study of the influence of the posterior articular facets. J Biomech. September 1997;30(9):921-931.
2000	Kumaresan S, Yoganandan N, Pintar FA, Maiman DJ, Kuppa S. Biomechanical study of pediatric human cervical spine: a finite element approach. J Biomech Eng. February 2000;122(1):60-71.
2012	Weisse B, Aiyangar A, Affolter C, Gander R, Terrasi GP, Ploeg H. Determination of the translational and rotational stiffnesses of a L4-L5 functional spinal unit using a specimen-specific finite element model. J Mech Behav Biomed Mater. September 2012;13:45-61.
1999	Kumaresan S, Yoganandan N, Pintar FA, Maiman DJ. Finite element modeling of the cervical spine: role of intervertebral disc under axial and eccentric loads. Med Eng Phys. December 1999;21(10):689-700.
2008	Jones AC, Wilcox RK. Finite element analysis of the spine: towards a framework of verification, validation and sensitivity analysis. Med Eng Phys. December 2008;30(10):1287-1304.
1999	Bay BK, Yerby SA, McLain RF, Toh E. Measurement of strain distributions within vertebral body sections by texture correlation. Spine. January 1, 1999;24(1):10-17.
2001	Cao KD, Grimm MJ, Yang K-H. Load sharing within a human lumbar vertebral body using the finite element method. Spine. June 5, 2001;26(12):E253-E260.
2012	Rao M. Explicit Finite Element Modeling of the Human Lumbar Spine [PhD thesis]. University of Denver; November 2012.
1999	Elliott DM. The Fiber-Induced Anisotropic Material Behaviors of the Anulus Fibrosus of the Intervertebral Disc in Tension [PhD thesis]. Duke University; 1999.
1999	Gillette JC. A Three-Dimensional, Dynamic Model of the Human Body for Lifting Motions [PhD thesis]. Iowa State University; 1999.
2002	Budihardjo I. Studies of Compressive Forces on L5/S1 During Dynamic Manual Lifting [PhD thesis]. Iowa State University; 2002.
2006	Esat V. Biomechanical Modelling of the Whole Human Spine for Dynamic Analysis [PhD thesis]. Loughborough University; June 2006.
1997	Kumaresan S. Clinical Studies of the Human Cervical Spine Using Finite Element Modeling [PhD thesis]. Marquette University; December 1997.
1997	Duncan NA. The Mechanics of Curve Progression in Adolescent Idiopathic Scoliosis [PhD thesis]. McGill University; February 1997.
2020	El-Monajjed K. Implementation of a Virtual Reality Module for Gaining Surgical Access Via Planned Oblique Lateral Lumbar Interbody Fusion [PhD thesis]. McGill University; December 2020.
2022	El Bojairami I. Assessment of Static Spinal Stability and Muscle Activation Strategies: A Comprehensive Approach Via a Novel Validated Finite Elements Spine Model Inclusive of Thoracolumbar Fascia, Intramuscular Pressure, and Intra-Abdominal Pressure [PhD thesis]. McGill University; April 2022.
2015	Campbell JQ. Population-Based Methods to Evaluate the Effect of Anatomical Variation on Lumbar Spine Biomechanics [PhD thesis]. Colorado School of Mines; 2015.
2017	Honegger JD. Development of a Multiscale Model of the Lumbar Spin: Application for Persons With a Lower-Limb Amputation [Master's thesis]. Colorado School of Mines; 2017.
2020	Honegger JD. Multiscale Modeling of the Lumbar Spine to Investigate Tissue-Level Load Transfer During Activities of Daily Living [PhD thesis]. Colorado School of Mines; 2020.
1996	Silva MJ. Predicting the Failure Behavior of the Human Vertebral Body [PhD thesis]. Cambridge, MA: Massachusetts Institute of Technology; February 1996.
2003	Alderink GJ. Three-Dimensional Kinematic Analysis of the Thorax in Standing and Sitting [PhD thesis]. East Lansing, MI: Michigan State University; 2003.
1995	Aubin C-E. Rôle biomécanique de la cage thoracique dans le traitement de la scoliose par orthèse [PhD thesis]. École polytechnique de Montréal; September 1995.
1998	Gignac D. Optimisation du traitement de la scoliose par corsets [Master's thesis]. École polytechnique de Montréal; December 1998.
2000	Garceau P. Modélisation du contrôle neural des muscles du tronc [Master's thesis]. École polytechnique de Montréal; December 2000.
2002	Petit Y. Analyse biomécanique de la flexibilité du rachis scoliotique pour la planification de l'instrumentation chirurgicale [PhD thesis]. École polytechnique de Montréal; December 2002.
2005	Duke K. The Design and Biomechanical Analysis of a Dynamic Positioning Frame for Scoliosis Surgery [PhD thesis]. École polytechnique de Montréal; August 2005.
2006	Desroches G. Modélisation biomécanique de l'instrumentation du rachis scoliotique par abord antérieur [Master's thesis]. École polytechnique de Montréal; August 2006.
2006	Sylvestre P-L. Modélisation par éléments finis des plaques de croissance dans un modèle volumique du rachis [Master's thesis]. École polytechnique de Montréal; September 2006.
2009	Cabral A. Simulation de mouvement du rachis avec ajustement continu suivant des courbes expérimentales de comportement force-déplacement [Master's thesis]. École polytechnique de Montréal; September 2009.
1997	Howes JK. Testing of Lumbar Porcine Spines: Development of an Experimental Apparatus, Protocol and Three-Dimensional Analysis Tools [Master's thesis]. Queen's University; June 1997.
1999	Bass EC. Biaxial Nonlinear Elastic Response of the Human Lumbar Annulus Fibrosus and Its Role in the Determination of a Physiologically Relevant Constitutive Relation [PhD thesis]. Berkeley, CA: Berkeley, University of California; 1999.
1999	Whyne CM. Development of Guidelines for the Prophylactic Treatment of Metastatically Involved Vertebral Bodies [PhD thesis]. Berkeley, CA: Berkeley, University of California; 1999.
2001	Villemure I. Étude biomécanique du processus de croissance et de déformation du rachis scolitotique [PhD thesis]. University of Montreal; 2001.
2005	Cao KD. Development of a 4-Vertebrae, Detailed Finite Element Model of Thoracolumbar Spine [PhD thesis]. Detroit, MI: Wayne State University; August 2005.
1996	Kunz DN. Design, Evaluation, and Application of a System for Mechanical Evaluation of the Lumbar Spine [PhD thesis]. University of Wisconsin – Madison; 1996.