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Singhal I, Harinathan B, Warraich A, Purushothaman Y, Budde MD, Yoganandan N, Vedantam A. Finite element modeling of the human cervical spinal cord and its applications: A systematic review. NORTH AMERICAN SPINE SOCIETY JOURNAL 2023; 15:100246. [PMID: 37636342 PMCID: PMC10448221 DOI: 10.1016/j.xnsj.2023.100246] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Download PDF] [Figures] [Subscribe] [Scholar Register] [Received: 05/31/2023] [Revised: 07/01/2023] [Accepted: 07/23/2023] [Indexed: 08/29/2023]
Abstract
Background Context Finite element modeling (FEM) is an established tool to analyze the biomechanics of complex systems. Advances in computational techniques have led to the increasing use of spinal cord FEMs to study cervical spinal cord pathology. There is considerable variability in the creation of cervical spinal cord FEMs and to date there has been no systematic review of the technique. The aim of this study was to review the uses, techniques, limitations, and applications of FEMs of the human cervical spinal cord. Methods A literature search was performed through PubMed and Scopus using the words finite element analysis, spinal cord, and biomechanics. Studies were selected based on the following inclusion criteria: (1) use of human spinal cord modeling at the cervical level; (2) model the cervical spinal cord with or without the osteoligamentous spine; and (3) the study should describe an application of the spinal cord FEM. Results Our search resulted in 369 total publications, 49 underwent reviews of the abstract and full text, and 23 were included in the study. Spinal cord FEMs are used to study spinal cord injury and trauma, pathologic processes, and spine surgery. Considerable variation exists in the derivation of spinal cord geometries, mathematical models, and material properties. Less than 50% of the FEMs incorporate the dura mater, cerebrospinal fluid, nerve roots, and denticulate ligaments. Von Mises stress, and strain of the spinal cord are the most common outputs studied. FEM offers the opportunity for dynamic simulation, but this has been used in only four studies. Conclusions Spinal cord FEM provides unique insight into the stress and strain of the cervical spinal cord in various pathological conditions and allows for the simulation of surgical procedures. Standardization of modeling parameters, anatomical structures and inclusion of patient-specific data are necessary to improve the clinical translation.
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Affiliation(s)
- Ishan Singhal
- Department of Neurosurgery, Medical College of Wisconsin, 9200 W Wisconsin Ave, Milwaukee, WI 53226, United States
| | - Balaji Harinathan
- Department of Neurosurgery, Medical College of Wisconsin, 9200 W Wisconsin Ave, Milwaukee, WI 53226, United States
| | - Ali Warraich
- University of Chicago, 1413 East 57 St, Chicago, IL 60637, United States
| | - Yuvaraj Purushothaman
- Department of Neurosurgery, Medical College of Wisconsin, 9200 W Wisconsin Ave, Milwaukee, WI 53226, United States
| | - Matthew D. Budde
- Department of Neurosurgery, Medical College of Wisconsin, 9200 W Wisconsin Ave, Milwaukee, WI 53226, United States
| | - Narayan Yoganandan
- Department of Neurosurgery, Medical College of Wisconsin, 9200 W Wisconsin Ave, Milwaukee, WI 53226, United States
| | - Aditya Vedantam
- Department of Neurosurgery, Medical College of Wisconsin, 9200 W Wisconsin Ave, Milwaukee, WI 53226, United States
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Beausejour MH, Wagnac E, Arnoux PJ, Mac-Thiong JM, Petit Y. Numerical Investigation of Spinal Cord Injury After Flexion-Distraction Injuries At the Cervical Spine. J Biomech Eng 2021; 144:1115612. [PMID: 34369552 DOI: 10.1115/1.4052003] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.5] [Reference Citation Analysis] [Abstract] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Received: 10/26/2020] [Indexed: 11/08/2022]
Abstract
Flexion-distraction injuries frequently cause traumatic cervical spinal cord injury (SCI). Post-traumatic instability can cause aggravation of the secondary SCI during patient's care. However, there is little information on how the pattern of disco-ligamentous injury affects the SCI severity and mechanism. This study objective was to analyze how different flexion-distraction disco-ligamentous injuries affect the SCI mechanisms during post-traumatic flexion and extension. A cervical spine finite element model including the spinal cord was used and different combinations of partial or complete intervertebral disc (IVD) rupture and disruption of various posterior ligaments were modeled at C4-C5, C5-C6 or C6-C7. In flexion, complete IVD rupture combined with posterior ligamentous complex rupture was the most severe injury leading to the most extreme von Mises stress (47 to 66 kPa), principal strains p1 (0.32 to 0.41 in white matter) and p3 (-0.78 to -0.96 in white matter) in the spinal cord and to the most important spinal cord compression (35 to 48 %). The main post-trauma SCI mechanism was identified as compression of the anterior white matter at the injured level combined with distraction of the posterior spinal cord during flexion. There was also a concentration of the maximum stresses in the gray matter after injury. Finally, in extension, the injuries tested had little impact on the spinal cord. The capsular ligament was the most important structure in protecting the spinal cord. Its status should be carefully examined during patient's management.
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Affiliation(s)
- Marie-Helene Beausejour
- Department of Mechanical Engineering,École de technologie supérieure; Research Center, Hôpital du Sacré-Coeur de Montréal; International Laboratory on Spine Imaging and Biomechanics; Laboratoire de Biomécanique Appliquée-Université Gustave-Eiffel; Aix-Marseille Université, 1100, rue Notre-Dame Ouest, H3C 1K3, Montreal, Quebec, Canada
| | - Eric Wagnac
- Department of Mechanical Engineering,École de technologie supérieure; Research Center, Hôpital du Sacré-Coeur de Montréal; International Laboratory on Spine Imaging and Biomechanics, 1100, rue Notre-Dame Ouest, H3C 1K3, Montreal, Quebec, Canada
| | - Pierre-Jean Arnoux
- International Laboratory on Spine Imaging and Biomechanics; Laboratoire de Biomécanique Appliquée-Université Gustave-Eiffel; Aix-Marseille Université, Faculté de Médecine Secteur Nord, Boulevard P. Dramard, 13916, Marseille, France
| | - Jean-Marc Mac-Thiong
- Department of Surgery, Medicine Faculty, Université de Montréal; Research Center, Hôpital du Sacré-Coeur de Montréal, 5400, boulevard Gouin Ouest, H4J 1C5, Montreal, Quebec, Canada
| | - Yvan Petit
- Department of Mechanical Engineering,École de technologie supérieure; Research Center, Hôpital du Sacré-Coeur de Montréal; International Laboratory on Spine Imaging and Biomechanics, 1100, rue Notre-Dame Ouest, H3C 1K3, Montreal, Quebec, Canada
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Liang D, Tu GJ, Han YX, Guo DW. Accurate simulation of the herniated cervical intervertebral disc using controllable expansion: a finite element study. Comput Methods Biomech Biomed Engin 2020; 24:897-904. [PMID: 33331162 DOI: 10.1080/10255842.2020.1857745] [Citation(s) in RCA: 0] [Impact Index Per Article: 0] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/22/2022]
Abstract
Expansions were carried out in finite element (FE) models of disc hernia including symmetric (median, lateral, paramedian) and asymmetric types. In all models, lubricous disk bulging that applied a linear compression to the anterior part of the cord was observed at the posterior surfaces of the expansion zone, respectively. The shape and position of protrusions varyed with the temperature, magnitude, and location of expanding elements. The geometric deformation and stress distribution of the spinal cord increased as the extent of compression grew. This method is in possession of enormous potential in promoting further individualized research of cervical spondylotic myelopathy.
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Affiliation(s)
- Dong Liang
- Department of Orthopedics Surgery, The First Affiliated Hospital of China Medical University, Shenyang, China
| | - Guan-Jun Tu
- Department of Orthopedics Surgery, The First Affiliated Hospital of China Medical University, Shenyang, China
| | - Ya-Xin Han
- Department of Orthopedics Surgery, The First Affiliated Hospital of China Medical University, Shenyang, China
| | - Da-Wei Guo
- Department of Sport Medicine, Shenyang Orthopedics Hospital, Shenyang, China
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Beauséjour MH, Petit Y, Hagen J, Arnoux PJ, Thiong JMM, Wagnac E. Contribution of injured posterior ligamentous complex and intervertebral disc on post-traumatic instability at the cervical spine. Comput Methods Biomech Biomed Engin 2020; 23:832-843. [PMID: 32463324 DOI: 10.1080/10255842.2020.1767776] [Citation(s) in RCA: 2] [Impact Index Per Article: 0.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Subscribe] [Scholar Register] [Indexed: 10/24/2022]
Abstract
Posterior ligamentous complex (PLC) and intervertebral disc (IVD) injuries are common cervical spine flexion-distraction injuries, but the residual stability following their disruption is misknown. The objective of this study was to evaluate the effect of PLC and IVD disruption on post-traumatic cervical spine stability under low flexion moment (2 Nm) using a finite element (FE) model of C2-T1. The PLC was removed first and a progressive disc rupture (one third, two thirds and complete rupture) was modeled to simulate IVD disruption at C2-C3, C4-C5 and C6-C7. At each step, a non-traumatic flexion moment was applied and the change in stability was evaluated. PLC removal had little impact at C2-C3 but increased local range of motion (ROM) at the injured level by 77.2% and 190.7% at C4-C5 and C6-C7, respectively. Complete IVD rupture had the largest impact on C2-C3, increasing C2-C3 ROM by 181% and creating a large antero-posterior displacement of the C2-C3 segment. The FE analysis showed PLC and disc injuries create spinal instability. However, the PLC played a bigger role in the stability of the middle and lower cervical spine while the IVD was more important at the upper cervical spine. Stabilization appears important when managing patients with soft tissue injuries.
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Affiliation(s)
- Marie-Hélène Beauséjour
- Department of Mechanical Engineering, Ecole de technologie superieure, Montreal, Canada.,Department of traumatology and acute care, Research Center, Hopital du Sacre-Coeur de Montreal, Montreal, Canada.,Department TS2, Laboratoire de biomecanique appliquee, IFSTTAR, LBA UMR T24, Aix-Marseille Universite, Marseille, France
| | - Yvan Petit
- Department of Mechanical Engineering, Ecole de technologie superieure, Montreal, Canada.,Department of traumatology and acute care, Research Center, Hopital du Sacre-Coeur de Montreal, Montreal, Canada
| | - Jeremy Hagen
- Department of Mechanical Engineering, Ecole de technologie superieure, Montreal, Canada.,Department of traumatology and acute care, Research Center, Hopital du Sacre-Coeur de Montreal, Montreal, Canada
| | - Pierre-Jean Arnoux
- Department TS2, Laboratoire de biomecanique appliquee, IFSTTAR, LBA UMR T24, Aix-Marseille Universite, Marseille, France
| | - Jean-Marc Mac Thiong
- Department of traumatology and acute care, Research Center, Hopital du Sacre-Coeur de Montreal, Montreal, Canada
| | - Eric Wagnac
- Department of Mechanical Engineering, Ecole de technologie superieure, Montreal, Canada.,Department of traumatology and acute care, Research Center, Hopital du Sacre-Coeur de Montreal, Montreal, Canada
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Fournely M, Petit Y, Wagnac E, Evin M, Arnoux PJ. Effect of experimental, morphological and mechanical factors on the murine spinal cord subjected to transverse contusion: A finite element study. PLoS One 2020; 15:e0232975. [PMID: 32392241 PMCID: PMC7213721 DOI: 10.1371/journal.pone.0232975] [Citation(s) in RCA: 9] [Impact Index Per Article: 1.8] [Reference Citation Analysis] [Abstract] [MESH Headings] [Track Full Text] [Download PDF] [Figures] [Journal Information] [Subscribe] [Scholar Register] [Received: 02/06/2020] [Accepted: 04/24/2020] [Indexed: 12/22/2022] Open
Abstract
Finite element models combined with animal experimental models of spinal cord injury provides the opportunity for investigating the effects of the injury mechanism on the neural tissue deformation and the resulting tissue damage. Thus, we developed a finite element model of the mouse cervical spinal cord in order to investigate the effect of morphological, experimental and mechanical factors on the spinal cord mechanical behavior subjected to transverse contusion. The overall mechanical behavior of the model was validated with experimental data of unilateral cervical contusion in mice. The effects of the spinal cord material properties, diameter and curvature, and of the impactor position and inclination on the strain distribution were investigated in 8 spinal cord anatomical regions of interest for 98 configurations of the model. Pareto analysis revealed that the material properties had a significant effect (p<0.01) for all regions of interest of the spinal cord and was the most influential factor for 7 out of 8 regions. This highlighted the need for comprehensive mechanical characterization of the gray and white matter in order to develop effective models capable of predicting tissue deformation during spinal cord injuries.
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Affiliation(s)
- Marion Fournely
- Laboratoire de Biomécanique Appliquée (LBA), UMR T24, Aix-Marseille Université, IFSTTAR, Marseille, France
- International Laboratory on Spine Imaging and Biomechanics (iLab-Spine), Marseille, France
| | - Yvan Petit
- International Laboratory on Spine Imaging and Biomechanics (iLab-Spine), Marseille, France
- Mechanical Engineering Department, École de technologie supérieure, Montréal, Canada
- Research Center, Hôpital du Sacré-Cœur, Montréal, Canada
| | - Eric Wagnac
- International Laboratory on Spine Imaging and Biomechanics (iLab-Spine), Marseille, France
- Mechanical Engineering Department, École de technologie supérieure, Montréal, Canada
- Research Center, Hôpital du Sacré-Cœur, Montréal, Canada
| | - Morgane Evin
- Laboratoire de Biomécanique Appliquée (LBA), UMR T24, Aix-Marseille Université, IFSTTAR, Marseille, France
- International Laboratory on Spine Imaging and Biomechanics (iLab-Spine), Marseille, France
| | - Pierre-Jean Arnoux
- Laboratoire de Biomécanique Appliquée (LBA), UMR T24, Aix-Marseille Université, IFSTTAR, Marseille, France
- International Laboratory on Spine Imaging and Biomechanics (iLab-Spine), Marseille, France
- * E-mail:
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Bailly N, Diotalevi L, Beauséjour MH, Wagnac É, Mac-Thiong JM, Petit Y. Numerical investigation of the relative effect of disc bulging and ligamentum flavum hypertrophy on the mechanism of central cord syndrome. Clin Biomech (Bristol, Avon) 2020; 74:58-65. [PMID: 32145670 DOI: 10.1016/j.clinbiomech.2020.02.008] [Citation(s) in RCA: 12] [Impact Index Per Article: 2.4] [Reference Citation Analysis] [Abstract] [Key Words] [Track Full Text] [Journal Information] [Submit a Manuscript] [Subscribe] [Scholar Register] [Received: 10/18/2019] [Revised: 02/07/2020] [Accepted: 02/13/2020] [Indexed: 02/07/2023]
Abstract
BACKGROUND The pathogenesis of the central cord syndrome is still unclear. While there is a consensus on hyperextension as the main traumatic mechanism leading to this condition, there is yet to be consensus in studies regarding the pathological features of the spine (intervertebral disc bulging or ligamentum flavum hypertrophy) that could contribute to clinical manifestations. METHODS A comprehensive finite element model of the cervical spine segment and spinal cord was used to simulate high-speed hyperextension. Four stenotic cases were modelled to study the effect of ligamentum flavum hypertrophy and intervertebral disc bulging on the von Mises stress and strain. FINDINGS During hyperextension, the downward displacement of the ligamentum flavum and a reduction of the spinal canal diameter (up to 17%) led to a dynamic compression of the cord. Ligamentum flavum hypertrophy was associated with stress and strain (peak of 0.011 Mpa and 0.24, respectively) in the lateral corticospinal tracts, which is consistent with the histologic pattern of the central cord syndrome. Linear intervertebral disc bulging alone led to a higher stress in the anterior and posterior funiculi (peak 0.029 Mpa). Combined with hypertrophic ligamentum flavum, it further increased the stress and strain in the corticospinal tracts and in the posterior horn (peak of 0.023 Mpa and 0.35, respectively). INTERPRETATION The stenotic typology and geometry greatly influence stress and strain distribution resulting from hyperextension. Ligamentum flavum hypertrophy is a main feature leading to central cord syndrome.
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Affiliation(s)
- Nicolas Bailly
- Department of Mechanical Engineering, École de technologie supérieure, 1100 Notre-Dame Street West, Montréal, Québec H3C 1K3, Canada; Research Center, Hôpital du Sacré-Cœur de Montréal, 5400 Gouin blvd, Montréal H4J 1C5, Québec, Canada; International Laboratory on Spine Imaging and Biomechanics (iLab-Spine), France
| | - Lucien Diotalevi
- Department of Mechanical Engineering, École de technologie supérieure, 1100 Notre-Dame Street West, Montréal, Québec H3C 1K3, Canada; Research Center, Hôpital du Sacré-Cœur de Montréal, 5400 Gouin blvd, Montréal H4J 1C5, Québec, Canada; International Laboratory on Spine Imaging and Biomechanics (iLab-Spine), France
| | - Marie-Hélène Beauséjour
- Department of Mechanical Engineering, École de technologie supérieure, 1100 Notre-Dame Street West, Montréal, Québec H3C 1K3, Canada; Research Center, Hôpital du Sacré-Cœur de Montréal, 5400 Gouin blvd, Montréal H4J 1C5, Québec, Canada; International Laboratory on Spine Imaging and Biomechanics (iLab-Spine), France; Laboratoire de Biomécanique Appliquée, UMRT24 IFSTTAR- Université de la Méditerranée, F-13916 Marseille cedex 20, France
| | - Éric Wagnac
- Department of Mechanical Engineering, École de technologie supérieure, 1100 Notre-Dame Street West, Montréal, Québec H3C 1K3, Canada; Research Center, Hôpital du Sacré-Cœur de Montréal, 5400 Gouin blvd, Montréal H4J 1C5, Québec, Canada; International Laboratory on Spine Imaging and Biomechanics (iLab-Spine), France
| | - Jean-Marc Mac-Thiong
- Research Center, Hôpital du Sacré-Cœur de Montréal, 5400 Gouin blvd, Montréal H4J 1C5, Québec, Canada; Department of Orthopaedic Surgery, Université de Montréal, P.O. box 6128, Station Centre-Ville, Montréal, Québec H3C 3J7, Canada
| | - Yvan Petit
- Department of Mechanical Engineering, École de technologie supérieure, 1100 Notre-Dame Street West, Montréal, Québec H3C 1K3, Canada; Research Center, Hôpital du Sacré-Cœur de Montréal, 5400 Gouin blvd, Montréal H4J 1C5, Québec, Canada; International Laboratory on Spine Imaging and Biomechanics (iLab-Spine), France.
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