![]() The dental implant as a predictable and reliable treatment has been widely applied in the rehabilitation of edentulous patients. The methods developed in this paper provide helpful guidance for designers and researchers in the implantation design and surgical plans. The Latin Hypercube (LH) sampling method as a competent and sophisticated method is applied and combined with the finite element method (FEM). The Kriging surrogate model is proposed to present the numerical relationship between RF and material parameters of dental implants. The model has merits not only in the prediction reliability and accuracy but also in the compatibility and flexibility, in both experimental data and numerical simulation results. In this study, an appropriate mathematical model is proposed to evaluate and predict the implant stability and performance. However, the exact relationship between the design variables of dental implants and RF of the system is correlated, complicated, and dependent. The resonance frequency (RF) can effectively describe the stability of the implant in physical experiments or numerical simulations. The dental implantation in clinical operations often encounters difficulties and challenges of failure in osseointegration, bone formulation, and remodeling.
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