A novel mathematical modeling to assess the bone mineral density under mechanical stimuli

Assessing the variation in bone mineral density (BMD) remains as a complex task, given the countless variables and parameters that constitute the boundary conditions. The present study aims to present a novel mathematical modeling to assess the BMD of maxilla and mandible through of bone remodeling under mechanical simulations. The behavior analyze of bone remodeling tissue will be verified by submitting to mechanical stimuli and application of stress on dental implants. The analyze process will use computational tools and mathematical modeling, which should provide the evolution of the density in the bone tissue in the time, considering different mechanical stimuli. The studies on bone remodeling are not specific for the bones that make up the maxilla and mandible. Thereby, the findings don't translate the specific behavior of increased bone density in these regions, reference values are used, however do not demonstrate correlations that are significant between the density of other areas studies with the maxilla or mandible, in view of the fact that bone density may reflect in the responses obtained in relation to orthodontic movements. This study allows determining the appropriate parameters and reference values that correspond to these evaluated regions, whose bone density is variable in the same element and have a great difference in density between the maxilla and the mandible. The use of such suitable reference values in the bone regions may provide a better understanding of the behavior of the bone tissue in the mandibular region as a function of time. The simulations pointed that the loadings can be applied with different types of stimulus. The modeling was able to measure stress loads, indicated to obtain a better response to dental treatments.