Nonlinear Inverse Dual Optimization for Hip Arthroplasty Ceramic Materials Nonlinear Inverse Dual Optimization for Hip Arthroplasty Ceramic Materials

Abstract

Total hip arthroplasty constitutes an important group among the most frequent used implants in Biomedical Engineering and Medical Devices research field. In this contribution, dual modeling and non-linear optimization are performed with two commonly used ceramic materials for ceramic-on-ceramic hip arthroplasty – among the most surgically utilized currently. These are alumina and zirconium. Numerical results for dual optimization show acceptable figures with low residuals. Results with two-dimensional graphical optimization are demonstrated acceptable also. According to these findings and calculations, optimized model parameters are mathematically proven and verified. Mathematical consequences give raise for new non-linear optimization algorithms. Based on numerical optimization data results, applications lead to biomedical engineering and future bioengineering/biomaterials designs.