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The Pivot Shift Test Modelled By Catastrophe Theory Corresponds To A Cusp Catastrophe

4 pagesPublished: July 12, 2018

Abstract

There is currently a lack of a 'Gold Standard' for quantification and modelling of the Pivot Shift test (PST) in anterior cruciate ligament (ACL) deficient knees. A sudden change in state resulting from a small change in a parameter is characteristic of systems that can be modelled using catastrophe theory. Analysis of data obtained from 50 consecutive navigated ACL reconstructions demonstrated statistically significant (p < 0.01) fitting with a cusp type model of catastrophic failure. Modelling the PST as a Cusp catastrophe may enable true evidence based decisions as to which ACL deficient knees should have surgery and guide the decisions as to the optimum type of surgery required. It may also influence the position of the reconstructed ligaments and allow objective comparisons of different ligament types and surgical techniques.

Keyphrases: anterior cruciate ligament, catastrophe theory, cusp model, modelling, navigation, orthopilot, pivot shift test

In: Wei Tian and Ferdinando Rodriguez Y Baena (editors). CAOS 2018. The 18th Annual Meeting of the International Society for Computer Assisted Orthopaedic Surgery, vol 2, pages 179-182.

BibTeX entry
@inproceedings{CAOS2018:Pivot_Shift_Test_Modelled,
  author    = {Shameem Sampath and Loren Cobb and Raoul P P P Grasman},
  title     = {The Pivot Shift Test Modelled By Catastrophe Theory Corresponds To A Cusp Catastrophe},
  booktitle = {CAOS 2018. The 18th Annual Meeting of the International Society for Computer Assisted Orthopaedic Surgery},
  editor    = {Wei Tian and Ferdinando Rodriguez Y Baena},
  series    = {EPiC Series in Health Sciences},
  volume    = {2},
  publisher = {EasyChair},
  bibsource = {EasyChair, https://easychair.org},
  issn      = {2398-5305},
  url       = {/publications/paper/sJlw},
  doi       = {10.29007/dlvg},
  pages     = {179-182},
  year      = {2018}}
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