Mathematical prerequisites for the design of the frontal group of teeth with a progenic ratio of the edentulous jaws

Aksyonov Daniil Igorevich, Mayboroda Yuri Nikolaevich, Aksenov Igor Nikolaevich

Aim: Improving the efficiency of designing anterior segments of artificial teeth with a progenic ratio of jaws. Methods: With the help of the designed measuring device, the degree of divergence of the sagittal fissure of the frontal segments of the edentulous jaws was determined, on the basis of which the variants of the level of the ratio of the interalveolar lines were calculated. Results: On the basis of mathematical calculations, taking into account the anthropometric data of digital measurements of the alveolar ridges of the frontal segments of the edentulous jaws, the principles of designing artificial dentition with a progenic ratio of the alveolar processes are considered. The digital values of the mean square deviation of the interalveolar lines at different levels of the sagittal fissure were obtained. Three main variations in the progenic ratio of the frontal segments, the shape of their dental arches and the angles of inclination in relation to the general interalveolar lines are reflected. Conclusions: On the basis of mathematical calculations, the optimal methods for the placement of artificial teeth in complete removable dentures have been developed with various degrees of progenic ratio of the frontal segments of the edentulous jaws.

Keywords:mathematical model, edentulous jaws, alveolar processes of edentulous jaws, progeny.