Chemical effect of bisphosphonates on the bone trabeculate of jaws via fractal dimension

In this contribution, the role of biphosphonate as the fundamental chemical component in newly analyzed biochemical processes is studied, using both fractal dimension analysis on the mathematical and theoretical side, and empirical evaluations of the results of some pathology problems. The main goal of this paper is to throw some empirical evidence that patients who underwent bisphosphonate based treatments may experience changes in their trabecular bone densities that worsens whenever there are radiolucent injuries caused by invasive dental procedures. As such, we conducted a comparative study between two groups of subjects, namely, people who had general and dental health conditions, and patients with certain pathologies that were being treated with bisphosphonates and even had suffered osteonecrosis. We analyzed a collection of CBCT images obtained routinely throughout the oral examination process. We use fractal dimension as an appropriate tool to detect changes in both trabecular structure and bone density. Our results highlighted significant differences between both groups. As a consequence, we postulate that bisphosphonate based treatments may provoke chemical reactions at a bone level whose changes could be quantified by routine radiological studies.