Analogical Model of Uncontrolled Orthodontic Tipping in Single Rooted Teeth

Abstract

The purpose of our study has been to develop a model able to predict the dynamic position of orthodontic rotation centers during uncontrolled tipping of single rooted teeth. A preliminary mathematical model has been developed in order to analyze the system composed of an orthodontic force applied at crown level of a single rooted tooth, implanted and connected by periodontal ligament fibers to its bone socket. The model is intended to serve as a starting point for a future modeling attempt of periodontal stress distribution during orthodontic tooth movements. The equation model includes several flexible features regarding anatomic variations of tooth size, mass and volume, its periodontal estate, as well as possible types of orthodontic force systems applied to the tooth. It models the dynamics of tooth tipping over time and focuses on identifying the exact position of the rotation center in the implanted part of the root.