Comparative Data Analysis of the Physical and Mathematical Modeling of Explosive Thoracolumbar Spine Fracture
The finite element method is numerical modeling method that is widely used in scientific research of the complex systems in biomechanics. Mathematical models newly developed by this method require confirmation of the adequacy of the obtained results and often for this purpose the finite-element models are compared with the experimental (physical) models. The objective was to build the mathematical biomechanical models of the explosive ThXII vertebra fracture and compare their results with those of experimental models. Animal (pig) experimental model of normal ThIX-LV vertebrae and the models of the ThXII vertebra injuries developed in the laboratory of biomechanics of SE «Sytenko Institute of Spine and Joint Pathology, Academy of Medical Sciences of Ukraine» were taken as a basis data. Four mathematical models corresponding to the experimental models were created: the 1st model was normal ThIX-LV vertebrae; the 2nd model was 50% destruction of the ThXII vertebral body including its posterior part; the 3rd model was a total destruction of the ThXII vertebral body and the adjacent intervertebral disks; the 4th model was a total destruction of the ThXII vertebral body and the adjacent intervertebral disks and posterior supporting complex (arc and partly joints). Geometric models were built in the program SolidWorks, finite element calculations were performed in the program ANSYS, obtained data were statistically processed by T-test for paired samples and correlation analysis. It was found that the 1st and 2nd mathematical models showed fairly close coincidence with the results of experimental models — up to 30 % if the efforts were not more than 150 N, and up to 70 % at a load 200 N. Nonlinear behavior of the experimental models clearly expressed at loads of more than 200 N in contrast to mathematical models. The significant difference of the results of mathematical and experimental modeling due to the nonlinear behavior of the experimental model was found in cases of 3rd and 4th models. In general, the comparative analysis of the behavior of experimental and mathematical models showed the same process directionality, but without a complete coincidence of the obtained data. This means that the mathematical model calculations can show inadequate results at a load of more than 200 N.
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