The biomechanical regularities of the function of anatomic blocks of the maxillodental system were studied using mathematical simulation and mathematical models. The biological concept of the structure and biomechanics of human masticatory system is presented. Methods of rapid diagnosis, based on the anthropometric characteristics of the face, and a mathematical model of the function of the maxillodental system intended for the orthodontic treatment of maxillodental abnormalities in children have been developed.