Increasing the functional and aesthetic efficiency of the design of the dentition with a progenic ratio of the frontal segments of the edentulous jaws based on the principles of mathematical modeling

Aksyonov Daniil Igorevich, Mayboroda Yuri Nikolaevich, Bragin Evgeniy Aleksandrovich, Aksenov Igor Nikolaevich

Purpose: Development of mathematical parameters necessary for optimal placement of the frontal group of teeth with various variants of asymmetric progenic ratio of edentulous jaws. Methods: In order to rationally design the artificial dentition of the anterior segment, a method of mathematical modeling was developed based on digital data of the dimensions of the sagittal gap between the arches of the apexes of the alveolar ridges, taking into account the standard deviation of the interalveolar lines. Results: Based on the study of the structural features of the alveolar processes of edentulous frontal segments in 72 patients in the oral cavity and on plaster models, various variants of the magnitude of the bends and the degree of divergence of the sagittal gap between both jaws were revealed. The level of inclination of the apex of the alveolar ridges in relation to the horizontal plane and, likewise, the interalveolar arch is located at different angles and the degree of divergence of the sagittal fissure is variable. Four variants of the progenic ratio of the jaws were obtained, taking into account the symmetry or asymmetry of the right and left sides of the frontal part of the jaws. Conclusions: The presented method of constructing the dentition in the anterior segment of the edentulous jaws based on the algorithm of digital calculations makes it possible to more specifically set the teeth, taking into account the degree of divergence of the interalveolar lines and the values of their angles in relation to the prosthetic plane in the interframe space of the articulator.

Keywords:progeny, mathematical model, toothless jaws, articulator.