Effect of body weight on the L3 lumbar vertebra with lumbar spinal stenosis in different body-bending degrees: A finite element simulation

Lumbar spinal stenosis (LSS) is a common disorder of the human lumbar spine found in elderly people. The disease can cause severe pain in patients, especially when people bend down. The main purpose of this paper is to develop the finite element simulation to study the effect of the weight acting on...

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Main Authors: Pearanat Chuchard, Din Prathumwan, Inthira Chaiya, Kamonchat Trachoo
Format: Article
Language:English
Published: Elsevier 2022-05-01
Series:Results in Applied Mathematics
Subjects:
Online Access:http://www.sciencedirect.com/science/article/pii/S2590037422000188
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author Pearanat Chuchard
Din Prathumwan
Inthira Chaiya
Kamonchat Trachoo
author_facet Pearanat Chuchard
Din Prathumwan
Inthira Chaiya
Kamonchat Trachoo
author_sort Pearanat Chuchard
collection DOAJ
description Lumbar spinal stenosis (LSS) is a common disorder of the human lumbar spine found in elderly people. The disease can cause severe pain in patients, especially when people bend down. The main purpose of this paper is to develop the finite element simulation to study the effect of the weight acting on the lumbar spine when people bend down with various degrees. The computational domains of the three-dimensional L3 lumbar spine were constructed from CT scan images from the intact spine and the spine with LSS. The mathematical model was developed in order to compare the displacement and the von Mises stress between both lumbar spines. The simulations based on the stress equilibrium equation, the strain–displacement relation, and the generalized Hooke’s law were achieved using the finite element method. The result reveals that a high level of displacement occurs around the transverse process and the spinous process of both lumbar vertebrae when a person bends down. Moreover, the investigation shows the von Mises stress that occurs in a patient with LSS is higher than in a normal person. In addition, the von Mises stress increased with an increase in the bending degree.
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spelling doaj.art-7a603c64a8224afbbf10b409205ccdbe2022-12-22T03:27:40ZengElsevierResults in Applied Mathematics2590-03742022-05-0114100266Effect of body weight on the L3 lumbar vertebra with lumbar spinal stenosis in different body-bending degrees: A finite element simulationPearanat Chuchard0Din Prathumwan1Inthira Chaiya2Kamonchat Trachoo3Department of Mathematics, Faculty of Science, Ramkhamhaeng University, Bangkok 10240, ThailandDepartment of Mathematics, Faculty of Science, Khon Kaen University, Khon Kaen 40002, ThailandDepartment of Mathematics, Faculty of Science, Mahasarakham University, Mahasarakham 44150, ThailandDepartment of Mathematics, Faculty of Science, Mahasarakham University, Mahasarakham 44150, Thailand; Corresponding author.Lumbar spinal stenosis (LSS) is a common disorder of the human lumbar spine found in elderly people. The disease can cause severe pain in patients, especially when people bend down. The main purpose of this paper is to develop the finite element simulation to study the effect of the weight acting on the lumbar spine when people bend down with various degrees. The computational domains of the three-dimensional L3 lumbar spine were constructed from CT scan images from the intact spine and the spine with LSS. The mathematical model was developed in order to compare the displacement and the von Mises stress between both lumbar spines. The simulations based on the stress equilibrium equation, the strain–displacement relation, and the generalized Hooke’s law were achieved using the finite element method. The result reveals that a high level of displacement occurs around the transverse process and the spinous process of both lumbar vertebrae when a person bends down. Moreover, the investigation shows the von Mises stress that occurs in a patient with LSS is higher than in a normal person. In addition, the von Mises stress increased with an increase in the bending degree.http://www.sciencedirect.com/science/article/pii/S2590037422000188Lumbar spinal stenosisFinite element methodThree-dimensional modelTotal displacementVon Mises stress
spellingShingle Pearanat Chuchard
Din Prathumwan
Inthira Chaiya
Kamonchat Trachoo
Effect of body weight on the L3 lumbar vertebra with lumbar spinal stenosis in different body-bending degrees: A finite element simulation
Results in Applied Mathematics
Lumbar spinal stenosis
Finite element method
Three-dimensional model
Total displacement
Von Mises stress
title Effect of body weight on the L3 lumbar vertebra with lumbar spinal stenosis in different body-bending degrees: A finite element simulation
title_full Effect of body weight on the L3 lumbar vertebra with lumbar spinal stenosis in different body-bending degrees: A finite element simulation
title_fullStr Effect of body weight on the L3 lumbar vertebra with lumbar spinal stenosis in different body-bending degrees: A finite element simulation
title_full_unstemmed Effect of body weight on the L3 lumbar vertebra with lumbar spinal stenosis in different body-bending degrees: A finite element simulation
title_short Effect of body weight on the L3 lumbar vertebra with lumbar spinal stenosis in different body-bending degrees: A finite element simulation
title_sort effect of body weight on the l3 lumbar vertebra with lumbar spinal stenosis in different body bending degrees a finite element simulation
topic Lumbar spinal stenosis
Finite element method
Three-dimensional model
Total displacement
Von Mises stress
url http://www.sciencedirect.com/science/article/pii/S2590037422000188
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