Izvestiya of Saratov University.

Mathematics. Mechanics. Informatics

ISSN 1816-9791 (Print)
ISSN 2541-9005 (Online)


For citation:

Donnik A. M., Ivanov D. V., Kireev S. I., Kossovich L. Y., Ostrovsky N. V., Norkin I. A., Levchenko K. K., Likhachev . V. Extracting Clinically Relevant Data from Biomechanical Modeling of Surgical Treatment Options for Spinal Injury in Damaged Vertebrae Th10, Th11. Izvestiya of Saratov University. Mathematics. Mechanics. Informatics, 2019, vol. 19, iss. 4, pp. 439-453. DOI: 10.18500/1816-9791-2019-19-4-439-453

This is an open access article distributed under the terms of Creative Commons Attribution 4.0 International License (CC-BY 4.0).
Published online: 
02.12.2019
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Russian
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Article
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539.3:617.547

Extracting Clinically Relevant Data from Biomechanical Modeling of Surgical Treatment Options for Spinal Injury in Damaged Vertebrae Th10, Th11

Autors: 
Donnik Anna M., Saratov State University
Ivanov Dmitriy V., Educational-Research Institute of Nanostructures and Biosystems of Saratov State University
Kireev Sergey I., Saratov State University
Kossovich Leonid Yurevich, Saratov State University
Ostrovsky Nikolay V., Saratov State University
Norkin Igor A., State Medical University name after V. I. Razumovsky
Levchenko Kristina K., State Medical University name after V. I. Razumovsky
Likhachev Sergey V., State Medical University name after V. I. Razumovsky
Abstract: 

Two three-dimensional geometric solid-state models of the Th7-L1 spinal segment (Model 1, Model 2) with metal construction were built. Models include the vertebrae Th7, Th8, Th9, Th10, Th11, Th12, L1, intervertebral discs, facet joints and ligaments, and metal construction elements. In Model 1, the cortical and spongy layers are constructed by three-dimensional solids, facet joints and intervertebral discs by three-dimensional bodies, ligaments by one-dimensional objects. In Model 2, the spongy layer of bone tissue is built with a three-dimensional solid body, the cortical layer with a shell 1 mm thick, the facet joints and intervertebral discs with three-dimensional bodies, and the ligaments with one-dimensional ones. Bodies are accepted linear, isotropic, homogeneous. The mechanical properties of all biological tissues and metal are set on the basis of published data. The problem of the statics of an elastic body is solved. The fields of complete displacements and Mises equivalent stresses are obtained for each point of the constructed models under characteristic loads. The analysis of the field of equivalent stresses makes it possible to identify areas of the spine that are most susceptible to destruction. The analysis of the field of full displacements makes it possible to evaluate the stability and reliability of fixation under standard physiological loads.

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Received: 
13.04.2019
Accepted: 
10.06.2019
Published: 
02.12.2019