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Mathematical Standard-Parameters Dual Optimization for Metal Hip Arthroplasty Wear Modelling with Medical Physics Applications

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IAAM (International Association of Advanced Materials), Gammalkilsvägen 18, 59053 Ulrika, Sweden
Academic Editor: Peter Glavič
Standards 2021, 1(1), 53-66; https://doi.org/10.3390/standards1010006
Received: 28 June 2021 / Revised: 25 August 2021 / Accepted: 26 August 2021 / Published: 7 September 2021
(This article belongs to the Special Issue Feature Papers to Celebrate the Inaugural Issue of Standards)
Total hip metal arthroplasty (THA) constitutes an important proportion of the standard clinical hip implant usage in Medical Physics and Biomedical Engineering. A computational nonlinear optimization is performed with two commonly metal materials in Metal-on-Metal (MoM) THA. Namely, Cast Co-Cr Alloy and Titanium. The principal result is the numerical determination of the K adimensional-constant parameter of the model. Results from a new more powerful algorithm than previous contributions, show significant improvements. Numerical standard figures for dual optimization give acceptable model-parameter values with low residuals. These results are demonstrated with 2D and 3D Graphical/Interior Optimization also. According to the findings/calculations, the standard optimized metal-model parameters are mathematically proven and verified. Mathematical consequences are obtained for model improvements and in vitro simulation methodology. The wear magnitude for in vitro determinations with these model parameter data constitute the innovation of the method. In consequence, the erosion prediction for laboratory experimental testing in THA adds valuable information to the literature. Applications lead to medical physics improvements for material/metal-THA designs. View Full-Text
Keywords: dual nonlinear optimization; metal artificial implants (MAI); hip implants; total hip arthroplasty (THA); MoM (Metal-on-Metal hip implant); objective function (OF); prosthesis materials; wear; biomechanical forces dual nonlinear optimization; metal artificial implants (MAI); hip implants; total hip arthroplasty (THA); MoM (Metal-on-Metal hip implant); objective function (OF); prosthesis materials; wear; biomechanical forces
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MDPI and ACS Style

Casesnoves, F. Mathematical Standard-Parameters Dual Optimization for Metal Hip Arthroplasty Wear Modelling with Medical Physics Applications. Standards 2021, 1, 53-66. https://doi.org/10.3390/standards1010006

AMA Style

Casesnoves F. Mathematical Standard-Parameters Dual Optimization for Metal Hip Arthroplasty Wear Modelling with Medical Physics Applications. Standards. 2021; 1(1):53-66. https://doi.org/10.3390/standards1010006

Chicago/Turabian Style

Casesnoves, Francisco. 2021. "Mathematical Standard-Parameters Dual Optimization for Metal Hip Arthroplasty Wear Modelling with Medical Physics Applications" Standards 1, no. 1: 53-66. https://doi.org/10.3390/standards1010006

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