Application of Mathematical Models to Create Simulations in Dental Medicine

Application of Mathematical Models to Create Simulations in Dental Medicine

Authors

  • Aleksandra Umlenska University of Chemical Technology and Metallurgy
  • Plamen Vasilev University of Chemical Technology and Metallurgy

DOI:

https://doi.org/10.59957/see.v11.i1.2026.8

Keywords:

Virtual reality, mathematical modeling, finite element method, mass-spring model, Unity, Soft Body Physics

Abstract

The application of virtual reality in dentistry has led to significant advancements. This is achieved using simulation software combined with mathematical modelling. The primary goal is to accurately represent the biophysical properties of tissues, enabling the simulation of medical interventions such as laser treatments, mechanical impacts, chemical applications, and other procedures.
Tissues are defined by their specific optical, mechanical, biological, and chemical properties. For virtual environment modelling, optical and mechanical properties are of paramount importance. Optical properties form the basis for techniques like therapeutic ablation, selective photothermolysis, and the minimization of adverse effects on healthy tissue. Key phenomena related to optical properties
include absorption, scattering, thermal conversion, thermal diffusion, and heat retention. The main mechanical properties of tissue include hardness, durability, and elasticity.
Virtual reality is essential for both medical staff training and predicting the outcomes of complex procedures.

References

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Published

2026-05-02

Issue

Section

Science
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