title: Mathematical modeling of pressure distribution during deformations of the intervertebral disc
metadata.name: dc.contributor.author
metadata.value: Chubarov, Dmitry A.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Tregubov, Vladimir P.
metadata.lang: -
metadata.name: dc.contributor.author
metadata.value: Egorova, Nadezhda K.
metadata.lang: -
metadata.name: dc.date.accessioned
metadata.value: 2022-01-18T11:19:17Z
metadata.lang: -
metadata.name: dc.date.available
metadata.value: 2022-01-18T11:19:17Z
metadata.lang: -
metadata.name: dc.date.issued
metadata.value: 2021-12
metadata.lang: -
metadata.name: dc.identifier.citation
metadata.value: Chubarov D. A., Tregubov V.P., Egorova N. K. Mathematical modeling of pressure distribution during deformations of the intervertebral disc. Vestnik of Saint Petersburg University. Applied Mathematics. Computer Science. Control Processes, 2021, vol. 17, iss. 4, pp. 381-388.
metadata.lang: en_GB
metadata.name: dc.identifier.other
metadata.value: https://doi.org/10.21638/11701/spbu10.2021.406
metadata.lang: -
metadata.name: dc.identifier.uri
metadata.value: http://hdl.handle.net/11701/34158
metadata.lang: -
metadata.name: dc.description.abstract
metadata.value: Based on the analysis of the mechanical models of the intervertebral disc given in the literature, it is concluded that the finite element computational grids used in them do not reflect
  the real structure of the intervertebral disc. In this regard, a mechanical model of the inter-
  vertebral disc was built, the structure of which is close to its real structure. The proposed
  model was used to determine the dynamics of the pressure distribution in the intervertebral
  disc when one of the vertebrae is rotated by a given angle. To determine the resulting bulges
  of each cell in the structure of the fibrous ring, the Rayleigh method and its modification were
  used. This made it possible to rationally calculate the volumes of cells. When calculating the
  pressure in each cell, its linear dependence on the deflection value of the cell was used. As
  a result of the proposed algorithm, the pressure dynamics in each cell of the intervertebral
  disc model was determined when the angle between the vertebrae changed.
metadata.lang: en_GB
metadata.name: dc.language.iso
metadata.value: ru
metadata.lang: en_GB
metadata.name: dc.publisher
metadata.value: St Petersburg State University
metadata.lang: en_GB
metadata.name: dc.relation.ispartofseries
metadata.value: Vestnik of St Petersburg University. Applied Mathematics. Computer Science. Control Processes;Volume 17; Issue 4
metadata.lang: -
metadata.name: dc.subject
metadata.value: mechanical model
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: intervertebral disc
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: pressure distribution
metadata.lang: en_GB
metadata.name: dc.subject
metadata.value: mathematical modeling
metadata.lang: en_GB
metadata.name: dc.title
metadata.value: Mathematical modeling of pressure distribution during deformations of the intervertebral disc
metadata.lang: en_GB
metadata.name: dc.type
metadata.value: Article
metadata.lang: en_GB
resources.filename: 381-388.pdf
resources.url: https://dspace.spbu.ru/bitstream/11701/34158/1/381-388.pdf
resources.format: Adobe PDF
resources.size: 656,95 kB