A 25-year-old male volunteer without spinal trauma, cancer, or a history of surgery was involved in the study with written informed consent. The study was approved by the Ethics Committee of Fu Yang Hospital (Anhui, China).
Computed tomography images of T10-L4 were obtained using a Brilliance 256 CT scanner (Philips Brilliance iCT256, Eindhoven, Netherlands). A three-dimensional model of T11-L3 was established with Mimics 21.0(Materialise, Leuven, Belgium). The cortical bone and cancellous bone were based on geometry using the “Threshold” and “Regional Growth” tools. The mesh structure was prepared using the preprocessing software Geomagic Studio 12.0 (Geomagic, Cary, NC, USA). Notably, the thickness of the cortical bone and endplate was 1 mm and 0.5 mm, respectively.
UGNX12.0 (Dassault Systèmes, S.A, Paris, France) was used to construct the intervertebral disc. The nucleus pulposus and annular fibers were constructed separately. Additionally, the volume ratio of the annulus fibrosus to the nucleus pulposus was set to 6:4.
A baseline three-dimensional FE model of a healthy T11-L3 was created first. The vertebral body, endplate, nucleus pulposus, and annulus fibrosus were treated as bonded. Moreover, frictionless contact was used to simulate the sliding contact between articular cartilages. The model was assumed to be homogeneous, isotropic, and linearly elastic. The material properties used are presented in Table 1 (Alizadeh et al., 2013, Kim and Kim, 2010, Park et al., 2015, Wang et al., 2018). The ligaments (i.e., the anterior longitudinal ligament, posterior longitudinal ligament, ligamentum flavum, capsular ligament, and interspinous ligament) were constructed as nonlinear spring elements in ANSYS Workbench (Ansys, Pittsburgh, PA, USA), and the material properties were shown in Table 2 (Rohlmann et al., 2006).
Table 1
Material properties assumed for different components of the finite element (FE) model
Spinal site | Young’s modulus (MPa) | Poisson’s ratio |
Vertebra |
Cortical | 12,000 | 0.3 |
Cancellous bone | 100 | 0.2 |
Endplate | 23.8 | 0.4 |
Cartilage | 11 | 0.4 |
Intervertebral disc |
Nucleus pulposus | 1 | 0.49 |
Annulus fibrosis | 4.2 | 0.4 |
Pedicle screws and rods | 110,000 | 0.3 |
Table 2
Material properties assumed for different components of ligaments
Ligament | Rigidity | Strain ε (%) | Rigidity | Strain ε (%) | Rigidity | Strain ε (%) |
Anterior | 347 | 0–12.2 | 787 | 12.2–20.3 | 1,864 | 20.3 |
Posterior | 29.5 | 0–11.1 | 61.7 | 11.1–23 | 236 | 23 |
Capsular | 36 | 0–25 | 159 | 25–30 | 384 | 30 |
Intertransverse | 0.3 | 0–18.2 | 1.8 | 18.2–23.3 | 10.7 | 23.3 |
Flavum | 7.7 | 0–5.9 | 9.6 | 5.9–4.9 | 58.2 | 49 |
Supraspinal | 2.5 | 0–20 | 5.3 | 20–25 | 34 | 25 |
Interspinal | 1.4 | 0–13.9 | 1.5 | 13.9–20 | 14.7 | 20 |
Model creation for different sagittal fracture distribution
The fractured vertebra model was created using SolidWorks(Simulia, USA). The upper, middle, and lower 1/3 of L1 were resected, and the posterior structure was maintained to establish an unstable type A3 thoracolumbar fracture (according to the AO spinal fracture classification) (Fig. 1).
Creation of the pedicle and screw and rod models
Pedicle screws (6 mm×50 mm for lumbar; 5.5 mm×45 mm for thoracic vertebra) and rods (5.5 mm) were modeled using SolidWorks. The screws were inserted into the vertebra and connected with rods (Fig. 1). Bonded contact is used between the screw and the vertebra, as well as between the screw and the rod. The mesh size was set to 1 mm for each screw and rod, and the union included a total of 42,923 elements and 152,473 nodes.
Models of different surgical strategies
The models included upper 1/3 fracture, (U-P1D1, U-P2D1, U-P1D2), middle 1/3 fracture, (M-P1D1, M -P2D1, M -P1D2), and lower 1/3 fracture (L-P1D1, L -P2D1, L-P1D2) (Fig. 2). Nine models were created in total.
Load and boundary
The load and boundary conditions were based on research published by Wang et al. 13. The L3 vertebra body was fixed. A force of 400 N was applied to all the models. Movement in coronal, sagittal, and transverse planes were evaluated, including extension, lateral flexion, and rotation motions. The flexion and lateral flexion moments were assumed to be 7.5 N*M, while the axial rotation moment was assumed to be 5.5 N*m.
Assessment indices
The range of motion (ROM) of T12-L2 was assessed in the nine FE models under six loading conditions. Data for the maximum von Mises stress and location were also collected and analyzed.