Mathematical Biosciences and Engineering, 2011, 8(4): 1061-1083. doi: 10.3934/mbe.2011.8.1061.

Primary: 74F10, 74L15, 92C10; Secondary: 92B05.

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A mathematical model of the compression of a spinal disc

1. Calgary Board of Education, Calgary, AB T2G 2L9
2. School of Mathematical Sciences, Rochester Institute of Technology, Rochester, NY 14623-5801

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.
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Keywords axial compression; fibre displacement.; intradiscal pressure; Intervertebral disc

Citation: Matthias Ngwa, Ephraim Agyingi. A mathematical model of the compression of a spinal disc. Mathematical Biosciences and Engineering, 2011, 8(4): 1061-1083. doi: 10.3934/mbe.2011.8.1061


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