2003
DOI: 10.1080/10255840310001606071
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Stochastic Finite Element Analysis of Biological Systems: Comparison of a Simple Intervertebral Disc Model with Experimental Results

Abstract: Statistical methods allow the effects of uncertainty to be incorporated into finite element models. This has potential benefits for the analysis of biological systems where natural variability can give rise to substantial uncertainty in both material and geometrical properties. In this study, a simple model of the intervertebral disc under compression was created and analysed as both a deterministic and a stochastic system. Factorial analysis was used to determine the important parameters to be included in the… Show more

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Cited by 17 publications
(8 citation statements)
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“…Sensitivity studies are commonplace in the computational biomechanics literature (e.g. [28,32,34,36,38,47,48,[50][51][52][53][54][55][56][57]. Such analyses have been particularly useful for determining how alterations in material coefficients affect model predictions.…”
Section: Sensitivity Studies In Computational Biomechanicsmentioning
confidence: 99%
“…Sensitivity studies are commonplace in the computational biomechanics literature (e.g. [28,32,34,36,38,47,48,[50][51][52][53][54][55][56][57]. Such analyses have been particularly useful for determining how alterations in material coefficients affect model predictions.…”
Section: Sensitivity Studies In Computational Biomechanicsmentioning
confidence: 99%
“…The statistical nature of the shape model should also facilitate the development of biomechanical models that aim to incorporate the effects of natural subject variability into their analyses (20)(21). This is important since the results of such models can be more sensitive to differences in geometry than other factors (22).…”
mentioning
confidence: 99%
“…One of the issues, though, with any patient-specific fluid-structure interaction model is the lack of patient-specific data on material properties of the tissue [20]. Therefore, stochastic methods might be necessary for tissue modelling [54] but this introduces variability into predictions. In terms of rheological comparisons for an individual, a model which focuses only on the use of CFD is not expected to alter the qualitative conclusions obtained.…”
Section: Discussionmentioning
confidence: 99%