Pataky, Todd, Koskei, Michihiko and Cox, Philip Graham orcid.org/0000-0001-9782-2358 (2016) Probabilistic biomechanical finite element simulations:whole-model classical hypothesis testing based on upcrossing geometry. PeerJ. e96. ISSN 2167-8359
Abstract
Statistical analyses of biomechanical finite element (FE) simulations are frequently conducted on scalar metrics extracted from anatomically homologous regions, like maximum von Mises stresses from demarcated bone areas. The advantages of this approach are numerical tabulability and statistical simplicity, but disadvantages include region demarcation subjectivity, spatial resolution reduction, and results interpretation complexity when attempting to mentally map tabulated results to original anatomy. This study proposes a method which abandons the two aforementioned advantages to overcome these three limitations. The method is inspired by parametric random field theory (RFT), but instead uses a non-parametric analogue to RFT which permits flexible model-wide statistical analyses through non-parametrically constructed probability densities regarding volumetric upcrossing geometry. We illustrate method fundamen- tals using basic 1D and 2D models, then use a public model of hip cartilage compression to highlight how the concepts can extend to practical biomechanical modeling. The ultimate whole-volume results are easy to interpret, and for constant model geometry the method is simple to implement. Moreover, our analyses demonstrate that the method can yield biomechanical insights which are difficult to infer from single simulations or tabulated multi-simulation results. Generalizability to non-constant geometry including subject-specific anatomy is discussed.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2016, Pataky et al. |
Keywords: | Biomechanics,Computational statistics,Finite element analysis,Probabilistic simulation,Random field theory |
Dates: |
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Institution: | The University of York |
Academic Units: | The University of York > Faculty of Sciences (York) > Hull York Medical School (York) The University of York > Faculty of Arts and Humanities (York) > Archaeology (York) |
Depositing User: | Pure (York) |
Date Deposited: | 19 Oct 2016 09:46 |
Last Modified: | 21 Jan 2025 17:23 |
Published Version: | https://doi.org/10.7717/peerj-cs.96 |
Status: | Published |
Refereed: | Yes |
Identification Number: | 10.7717/peerj-cs.96 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:105935 |