Biomechanical Model of Intervertebral Discs of Human Spine
I. Popov
, N. Larionov, M. Dudin, A. Popov
, D. Sviridov, M. Zubkov, S.Bobior
Abstract: Introduction: Scoliosis is a complex spinal deformity whose etiology is still unknown, and its treatment presents many challenges one of which is the creation of effective mathematical models which can assist doctor to develop the strategy of the treatment. To construct the model of the spine, it is necessary to investigate in details its elements. The intervertebral discs are very important for the scoliosis description. Modelling of this part of the spine is the goal of this paper.
Methods: The intervertebral disc consists of the nucleus pulposus and the annulus fibrosus, their mathematical models are presented in the article. The nucleus model is based on the model of a deformable elastic body, and the annulus model is based on its similarity to composite materials. Also, there are calculations of elastic characteristics, their transformations during rotation of the coordinate system, calculation of parameters during ring bending and criteria for its destruction for annulus fibrosus model.
Results: Mathematical model of intervertebral disc is constructed. It allows one to predict the parameters of the spine for known physical parameters of the discs. Testing shows that there exist model parameters allowing one to obtain appropriate geometrical characteristics of the spine. Determination of needed physical parameters for real spine will be the next goal of the study.
Series on Biomechanics, Vol.38, No.1 (2024), 26-44
DOI: 10.7546/SB.04.01.2024
Keywords: biomechanical model; elasticity; Intervertebral disc
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| Date published: 2024-04-23
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