Minimum required length of orthodontic microimplant: a numerical simulation and clinical validation

Introduction: This study aimed to determine the minimum required length of microimplants (MIs) to prevent excessive micromotion during MI healing that can lead to MI failure. Methods: Hypothesizing that the implantation depth of MI in cancellous bone (ID_cancel) is the key to the control of micromotion during MI healing, we numerically investigated the minimum ID_cancel required to maintain MI micromotion to below the threshold (30 μm) that would threaten MI survival. Twenty MI and bone models were built using MIs of 4 lengths and bone specimens with 5 different cortical bone thicknesses to create ID_cancel in the 0.5-5.5 mm. Then, applying a horizontal force of 1.5 N on the MI head, we calculated the micromotion (peak and average MI micromotions) and determined the minimum ID_cancel. A clinical test was performed to verify the numerical result by placing 160 MIs in the posterior maxilla and mandible. Results: A strong correlation (r² = 0.694) was found to exist between ID_cancel and MI micromotion. A minimum of 2.5 mm of ID_cancel was needed to maintain the level of MI micromotion (peak micromotion) <30 μm threshold. The 6-month survival rate of MI was strongly correlated with ID_cancel (r² = 0.744) and decreased sharply when ID_cancel was ≤2 mm. Conclusions: The minimum lengths of MIs to provide the minimum ID_cancel of 2.5 mm required to promote successful MI healing in the posterior maxilla and mandible are 5.2 and 6.5 mm, respectively.