A mathematical model of the compression of a spinal disc
A model is developed of the stress-strain response of an intervertebral disc to axial compression. This is based on a balance of increased intradiscal pressure, resulting from the compression of the disc, and the restraining forces generated by the collagen fibres within the annulus fibrosus. A form...
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| Format: | Article |
| Language: | English |
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AIMS Press
2011-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.1061 |
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| _version_ | 1832590177054228480 |
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| author | Matthias Ngwa Ephraim Agyingi |
| author_facet | Matthias Ngwa Ephraim Agyingi |
| author_sort | Matthias Ngwa |
| collection | DOAJ |
| description | A model is developed of the stress-strain response of an intervertebral disc to axial compression. This is based on a balance of increased intradiscal pressure, resulting from the compression of the disc, and the restraining forces generated by the collagen fibres within the annulus fibrosus. A formula is derived for predicting the loading force on a disc once the nucleus pressure is known. Measured material values of L3 and L4 discs are used to make quantitative predictions. The results compare reasonably well with experimental results. |
| format | Article |
| id | doaj-art-319f13666ce543889be8708431bc96ae |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-319f13666ce543889be8708431bc96ae2025-01-24T02:02:16ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-07-01841061108310.3934/mbe.2011.8.1061A mathematical model of the compression of a spinal discMatthias Ngwa0Ephraim Agyingi1Calgary Board of Education, Calgary, AB T2G 2L9Calgary Board of Education, Calgary, AB T2G 2L9A model is developed of the stress-strain response of an intervertebral disc to axial compression. This is based on a balance of increased intradiscal pressure, resulting from the compression of the disc, and the restraining forces generated by the collagen fibres within the annulus fibrosus. A formula is derived for predicting the loading force on a disc once the nucleus pressure is known. Measured material values of L3 and L4 discs are used to make quantitative predictions. The results compare reasonably well with experimental results.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.1061axial compressionfibre displacement.intradiscal pressureintervertebral disc |
| spellingShingle | Matthias Ngwa Ephraim Agyingi A mathematical model of the compression of a spinal disc Mathematical Biosciences and Engineering axial compression fibre displacement. intradiscal pressure intervertebral disc |
| title | A mathematical model of the compression of a spinal disc |
| title_full | A mathematical model of the compression of a spinal disc |
| title_fullStr | A mathematical model of the compression of a spinal disc |
| title_full_unstemmed | A mathematical model of the compression of a spinal disc |
| title_short | A mathematical model of the compression of a spinal disc |
| title_sort | mathematical model of the compression of a spinal disc |
| topic | axial compression fibre displacement. intradiscal pressure intervertebral disc |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.1061 |
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