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Related Experiment Videos

A mathematical model of mandibular protrusion.

T R Katona1

  • 1Department of Orthodontics, School of Dentistry, Indiana University, Indianapolis.

The Journal of Prosthetic Dentistry
|November 1, 1991
PubMed
Summary

Mathematical models describe mandibular rotation during protrusion, influenced by guidance, angulation, size, and excursion extent. Algorithms were developed to calculate cusp tip displacement and center of rotation for the protrusive path.

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Area of Science:

  • Biomechanics
  • Dental Mechanics
  • Mathematical Modeling

Background:

  • Understanding sagittal plane mandibular movements is crucial for analyzing chewing and speech.
  • Previous models may not fully capture the complex interplay of factors influencing mandibular motion.

Purpose of the Study:

  • To derive mathematical expressions describing mandibular movements in the sagittal plane.
  • To develop algorithms for calculating cusp tip displacement and center of rotation during protrusion.

Main Methods:

  • Derivation of mathematical expressions based on anatomical and functional parameters.
  • Development of computational algorithms for kinematic analysis.

Main Results:

  • Mandibular rotation during protrusion is a function of incisor and condylar guidances, initial angulation, size, and excursion.
  • Algorithms for calculating cusp tip displacement and center of rotation were successfully developed.

Conclusions:

  • The derived mathematical expressions provide a quantitative description of sagittal mandibular motion.
  • The developed algorithms can be utilized for analyzing protrusive mandibular paths in various contexts.

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