Advanced Mathematical Methods in Dental Bioengineering and Biomaterials Machining

Area of Science:

• Dental Bioengineering
• Computational Modeling
• Biomaterials Science

Background:

• Dental bioengineering increasingly utilizes advanced mathematical and computational approaches.
• Biomaterial processing and machining technologies in dentistry require sophisticated analysis and optimization.

Purpose of the Study:

• To systematically analyze and synthesize current knowledge on computational modeling in dental bioengineering.
• To critically evaluate the application of numerical simulations, statistical modeling, and algorithms in dental manufacturing processes.

Main Methods:

• Systematic review following the PRISMA framework.
• Analysis of studies focusing on dental applications, manufacturing, and computational modeling.
• Inclusion of finite element analysis, statistical models, and geometry-based methods.

Main Results:

• Current research presents a heterogeneous set of approaches, not a unified modeling framework.
• Finite element analysis and statistical models are applied to drilling and grinding of dental ceramics.
• Existing methods offer partial optimization but are limited by empirical nature and lack of integration.

Conclusions:

• A significant research gap exists in integrated multiphysics modeling for dental machining processes.
• Future research should focus on digital twins, adaptive process control, and personalized modeling.
• Enhanced accuracy, efficiency, and predictability in dental biomaterial processing are key future goals.