Stochastic finite element analysis of biological systems: comparison of a simple intervertebral disc model with experimental results

Daniel Espino, Judith R Meakin, David W L Hukins, Janet E Reid

Research output: Contribution to journalArticle

16 Citations (Scopus)

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 stochastic analysis. The predictions from the model were compared to experimental results from 21 sheep discs. The size and shape of the distribution of the axial deformations predicted by the model was consistent with the experimental results given that the number of model solutions far exceeded the number of experimental results. Stochastic models could be valuable in determining the range and most likely value of stress in a tissue or implant.
Original languageEnglish
Pages (from-to)243-248
Number of pages6
JournalComputer Methods in Biomechanics and Biomedical Engineering
Volume6
Issue number4
DOIs
Publication statusPublished - Sep 2003

Fingerprint

Biological systems
Finite element method
Stochastic systems
Stochastic models
Statistical methods
Tissue
Uncertainty

Keywords

  • finite element analysis
  • stochastic analysis
  • intervertebral disc
  • biological systems

Cite this

Stochastic finite element analysis of biological systems : comparison of a simple intervertebral disc model with experimental results. / Espino, Daniel; Meakin, Judith R; Hukins, David W L; Reid, Janet E.

In: Computer Methods in Biomechanics and Biomedical Engineering, Vol. 6, No. 4, 09.2003, p. 243-248.

Research output: Contribution to journalArticle

@article{3a045d1941714aafa87741833d678f73,
title = "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 stochastic analysis. The predictions from the model were compared to experimental results from 21 sheep discs. The size and shape of the distribution of the axial deformations predicted by the model was consistent with the experimental results given that the number of model solutions far exceeded the number of experimental results. Stochastic models could be valuable in determining the range and most likely value of stress in a tissue or implant.",
keywords = "finite element analysis, stochastic analysis, intervertebral disc, biological systems",
author = "Daniel Espino and Meakin, {Judith R} and Hukins, {David W L} and Reid, {Janet E}",
year = "2003",
month = "9",
doi = "10.1080/10255840310001606071",
language = "English",
volume = "6",
pages = "243--248",
journal = "Computer Methods in Biomechanics and Biomedical Engineering",
issn = "1025-5842",
publisher = "Informa Healthcare",
number = "4",

}

TY - JOUR

T1 - Stochastic finite element analysis of biological systems

T2 - comparison of a simple intervertebral disc model with experimental results

AU - Espino, Daniel

AU - Meakin, Judith R

AU - Hukins, David W L

AU - Reid, Janet E

PY - 2003/9

Y1 - 2003/9

N2 - 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 stochastic analysis. The predictions from the model were compared to experimental results from 21 sheep discs. The size and shape of the distribution of the axial deformations predicted by the model was consistent with the experimental results given that the number of model solutions far exceeded the number of experimental results. Stochastic models could be valuable in determining the range and most likely value of stress in a tissue or implant.

AB - 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 stochastic analysis. The predictions from the model were compared to experimental results from 21 sheep discs. The size and shape of the distribution of the axial deformations predicted by the model was consistent with the experimental results given that the number of model solutions far exceeded the number of experimental results. Stochastic models could be valuable in determining the range and most likely value of stress in a tissue or implant.

KW - finite element analysis

KW - stochastic analysis

KW - intervertebral disc

KW - biological systems

U2 - 10.1080/10255840310001606071

DO - 10.1080/10255840310001606071

M3 - Article

VL - 6

SP - 243

EP - 248

JO - Computer Methods in Biomechanics and Biomedical Engineering

JF - Computer Methods in Biomechanics and Biomedical Engineering

SN - 1025-5842

IS - 4

ER -