Multiobjective Optimization for Ceramic Hip Arthroplasty with Medical Physics Applications

Abstract

In a previous contribution a total hip arthroplasty optimization for metal materials was presented [5]. THA constitutes an important group among the most frequent used implants in Biomedical Engineering and Medical Devices research field. In this further multiobjective study, modelling and nonlinear optimization is performed with four commonly used ceramic materials for CoC hip arthroplasty—among the most surgically utilized currently. These are ZTA Biolox, ZTA Biolox-Delta, Alumina (Al3O2), and Zirconium (ZrO2). Numerical results for dual optimization show acceptable figures with low residuals. Results with algorithm of 2D Graphical Optimization and 3D Interior Multiobjective Optimization are proven, explained, shown acceptable. According to these optimal findings and calculations, the model parameters are mathematically demonstrated, and verified. Results of 2D graphics and 3D Interior Multiobjective Optimization to obtain the local minima are sharp. Optimization rising numbers match the model design because the hardness and experimentally-published erosion intervals of Alumina, Zirconia, ZTA Biolox and ZTA Biolox-Delta intervals overlap one another approximately. Medical-Mathematical Physics consequences emerge for new nonlinear multiobjective optimization algorithms. Based on these numerical multifunctional data results, applications in Biomedical Engineering devices and future Bioengineering/Biomaterials designs are guessed.