Knowledge-based mathematical algorithm to design personalized dental alignment

Designing individualized orthodontic treatments for malocclusions and misaligned teeth is a complex task due to the numerous conditions that must be met. These conditions include personal patient considerations, technical constraints, physiological restrictions, and specific instructions from orthodontists. Achieving the ideal final dental arrangement remains a significant challenge in orthodontic practice. The current process primarily involves collaboration between orthodontists and technicians, using manual procedures and specialized software. This study describes the formalization of a model designed to simplify this orthodontic procedure. The creation of a patient’s final dental configuration, necessary for manufacturing all the devices for the treatment plan, is automated using a mathematical model based on current knowledge in the field. The mathematical model has been incorporated into a modeling and animation software tool, and a case study has been tested with a manufacturer specializing in orthodontic devices. The comments received highlights the usefulness of the proposed algorithm and its value as a significant resource for discussing with orthodontists.