Constructing аlgorithm for of artificial dental rows in progenic and prognatic ratio of frontal segments of edtless jaws

Aksyonov Daniil Igorevich, Mayboroda Yuri Nikolaevich, Aksenov Igor Nikolaevich

The purpose of this study is to develop, on the basis of mathematical calculations, the optimal options for designing artificial dentition in the frontal segments of the edentulous jaws with a progenic and prognathic ratio. For mathematical calculations, the digital parameters of 260 pairs of plaster models of the jaws were used, on the basis of which the average arch for the upper and lower jaws and the angles of the alveolar ridges of the frontal segments of the jaws were calculated. On the basis of anthropometric segmental digital data on the sizes of the alveolar arches of the plaster models of the edentulous upper and lower jaws, a mathematical model has been developed that allows in each case to design artificial dentition with a prognathic and progenic ratio of the frontal segments of the jaws, taking into account the level of the degree of atrophic changes in the tops of the alveolar ridges and angles slope of the tops of the interalveolar ridges. The obtained digital data of calculations for various variants of the ratio of the alveolar processes makes it possible to optimally determine the variants of the middle interalveolar lines in the frontal segments of the edentulous jaws for a more rational placement of artificial teeth.

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