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Assessing the behavior of a hybrid model of the knee with contact surrogate under parameter uncertainties.

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Title: Assessing the behavior of a hybrid model of the knee with contact surrogate under parameter uncertainties.
Authors: Ciszkiewicz, Adam1 (AUTHOR) adam.ciszkiewicz@pk.edu.pl, Mazurkiewicz, Łukasz2 (AUTHOR), Małachowski, Jerzy2 (AUTHOR)
Source: Computer Methods in Biomechanics & Biomedical Engineering. Nov2025, Vol. 28 Issue 15, p2227-2236. 10p.
Subjects: Contact mechanics, Knee joint, Approximation theory, Monte Carlo method, Prediction models, Finite element method
Abstract: Modeling the knee is an important factor in increasing the quality of life of both healthy individuals and patients. Nevertheless, the intricate nature of the knee makes this problem complicated. In this study, an extension to an established planar knee joint model with Hertzian contact pairs is proposed with contact mechanics based on polynomial chaos expansion surrogate. Firstly, the finite element (FE) model is made representing a contact pair of sphere-to-plane type with two layers on both bodies, corresponding to the cartilage and the bone. Five variables corresponding to both geometry and material parameters are used to parametrize this model. Then, 128 distinct variants of the FE model are created based on a quasi-Monte Carlo sequence. This dataset is used to train and validate the surrogate. The trained surrogate is proven to have predictive capabilities with an average nRMSE of 0.2% in randomized test/train splits. When included in a model of the knee and tested under parameter uncertainties in Monte Carlo simulations, it results in nRMSE of 58% for angular coordinate compared to the original model with Hertzian pair. This signifies the high influence of contact formulation on the model output and the need for more physically based models in knee contact modeling. [ABSTRACT FROM AUTHOR]
Copyright of Computer Methods in Biomechanics & Biomedical Engineering is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.)
Database: Engineering Source
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DbLabel: Engineering Source
An: 189213784
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  Data: Assessing the behavior of a hybrid model of the knee with contact surrogate under parameter uncertainties.
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  Data: <searchLink fieldCode="AR" term="%22Ciszkiewicz%2C+Adam%22">Ciszkiewicz, Adam</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> adam.ciszkiewicz@pk.edu.pl</i><br /><searchLink fieldCode="AR" term="%22Mazurkiewicz%2C+Łukasz%22">Mazurkiewicz, Łukasz</searchLink><relatesTo>2</relatesTo> (AUTHOR)<br /><searchLink fieldCode="AR" term="%22Małachowski%2C+Jerzy%22">Małachowski, Jerzy</searchLink><relatesTo>2</relatesTo> (AUTHOR)
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  Data: <searchLink fieldCode="JN" term="%22Computer+Methods+in+Biomechanics+%26+Biomedical+Engineering%22">Computer Methods in Biomechanics & Biomedical Engineering</searchLink>. Nov2025, Vol. 28 Issue 15, p2227-2236. 10p.
– Name: Subject
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  Data: <searchLink fieldCode="DE" term="%22Contact+mechanics%22">Contact mechanics</searchLink><br /><searchLink fieldCode="DE" term="%22Knee+joint%22">Knee joint</searchLink><br /><searchLink fieldCode="DE" term="%22Approximation+theory%22">Approximation theory</searchLink><br /><searchLink fieldCode="DE" term="%22Monte+Carlo+method%22">Monte Carlo method</searchLink><br /><searchLink fieldCode="DE" term="%22Prediction+models%22">Prediction models</searchLink><br /><searchLink fieldCode="DE" term="%22Finite+element+method%22">Finite element method</searchLink>
– Name: Abstract
  Label: Abstract
  Group: Ab
  Data: Modeling the knee is an important factor in increasing the quality of life of both healthy individuals and patients. Nevertheless, the intricate nature of the knee makes this problem complicated. In this study, an extension to an established planar knee joint model with Hertzian contact pairs is proposed with contact mechanics based on polynomial chaos expansion surrogate. Firstly, the finite element (FE) model is made representing a contact pair of sphere-to-plane type with two layers on both bodies, corresponding to the cartilage and the bone. Five variables corresponding to both geometry and material parameters are used to parametrize this model. Then, 128 distinct variants of the FE model are created based on a quasi-Monte Carlo sequence. This dataset is used to train and validate the surrogate. The trained surrogate is proven to have predictive capabilities with an average nRMSE of 0.2% in randomized test/train splits. When included in a model of the knee and tested under parameter uncertainties in Monte Carlo simulations, it results in nRMSE of 58% for angular coordinate compared to the original model with Hertzian pair. This signifies the high influence of contact formulation on the model output and the need for more physically based models in knee contact modeling. [ABSTRACT FROM AUTHOR]
– Name: AbstractSuppliedCopyright
  Label:
  Group: Ab
  Data: <i>Copyright of Computer Methods in Biomechanics & Biomedical Engineering is the property of Taylor & Francis Ltd and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.)
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RecordInfo BibRecord:
  BibEntity:
    Identifiers:
      – Type: doi
        Value: 10.1080/10255842.2024.2364813
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      – Code: eng
        Text: English
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      Pagination:
        PageCount: 10
        StartPage: 2227
    Subjects:
      – SubjectFull: Contact mechanics
        Type: general
      – SubjectFull: Knee joint
        Type: general
      – SubjectFull: Approximation theory
        Type: general
      – SubjectFull: Monte Carlo method
        Type: general
      – SubjectFull: Prediction models
        Type: general
      – SubjectFull: Finite element method
        Type: general
    Titles:
      – TitleFull: Assessing the behavior of a hybrid model of the knee with contact surrogate under parameter uncertainties.
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            NameFull: Ciszkiewicz, Adam
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            NameFull: Mazurkiewicz, Łukasz
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            NameFull: Małachowski, Jerzy
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            – D: 15
              M: 11
              Text: Nov2025
              Type: published
              Y: 2025
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              Value: 28
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            – TitleFull: Computer Methods in Biomechanics & Biomedical Engineering
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