Digital Mathematical Modeling in Predicting the Clinical Efficiency of Fixed Prosthetic Prosthesis on Dental Implants
DOI:
https://doi.org/10.31149/ijimm.v4i3.2811Keywords:
mathematical modeling, finite element analysis, dental implants, fixed prosthetics, biomechanics, digital dentistryAbstract
This article presents a theoretical justification for the use of digital mathematical modeling in predicting the biomechanical effectiveness of fixed prosthetic appliances on dental implants. This paper examines the potential of the finite element analysis (FEA) method for analyzing the stress-strain state of the implant-abutment-prosthetic structure-bone system. The influence of implant diameter and length, bone quality, fixation type, and prosthesis material on the distribution of functional loads is analyzed. It is demonstrated that the use of mathematical modeling improves the predictability of clinical outcomes and reduces the risk of biomechanical complications. Furthermore, three-dimensional patient-specific models based on tomographic imaging data enable the simulation of individual anatomical variations. This allows clinicians to evaluate the interaction between implant geometry and surrounding bone tissue with high precision. The study also emphasises the important role of load orientation — including axial, oblique and lateral forces — in stress concentration and bone remodelling processes. By incorporating the realistic mechanical properties of titanium implants and cortical and cancellous bone, finite element analysis (FEA) provides detailed insight into potential failure zones and areas of overload. Integrating digital modelling into preoperative planning enables evidence-based decision-making, helping clinicians to select the most suitable implant dimensions, prosthesis design and material properties for each patient. Additionally, the study emphasises the increasing importance of personalised implantology, where computational simulations complement clinical experience to improve the long-term stability and functionality of prosthetic restorations. These findings support the adoption of FEA as a standard tool in modern prosthodontics, bridging the gap between experimental biomechanics and clinical application and ultimately improving patient outcomes and reducing the incidence of implant-related complications.
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