Suer Berkay Tolga, Yaman Zekai, Buyuksarac Bora
Int J Oral Maxillofac Implants. 2016 Jan-Feb;31(1):55-62. doi: 10.11607/jomi.3965. Epub 2015 Oct 16.
Fractal analysis is a mathematical method used to describe the internal architecture of complex structures such as trabecular bone. Fractal analysis of panoramic radiographs of implant recipient sites could help to predict the quality of the bone prior to implant placement. This study investigated the correlations between the fractal dimension values obtained from panoramic radiographs and the insertion torque and resonance frequency values of mandibular implants.
Thirty patients who received a total of 55 implants of the same brand, diameter, and length in the mandibular premolar and molar regions were included in the study. The same surgical procedures were applied to each patient, and the insertion torque and resonance frequency values were recorded for each implant at the time of placement. The radiographic fractal dimensions of the alveolar bone in the implant recipient area were calculated from preoperative panoramic radiographs using a box-counting algorithm. The insertion torque and resonance frequency values were compared with the fractal dimension values using the Spearman test.
All implants were successful, and none were lost during the follow-up period. Linear correlations were observed between the fractal dimension and resonance frequency, between the fractal dimension and insertion torque, and between resonance frequency and insertion torque.
These results suggest that the noninvasive measurement of the fractal dimension from panoramic radiographs might help to predict the bone quality, and thus the primary stability of dental implants, before implant surgery.
分形分析是一种用于描述复杂结构(如松质骨)内部结构的数学方法。对种植体植入部位全景X线片进行分形分析有助于在种植体植入前预测骨质量。本研究调查了从全景X线片获得的分形维数值与下颌种植体的植入扭矩和共振频率值之间的相关性。
本研究纳入了30例患者,这些患者在下颌前磨牙和磨牙区共植入了55枚同一品牌、直径和长度的种植体。对每位患者采用相同的手术程序,并在植入时记录每个种植体的植入扭矩和共振频率值。使用盒计数算法从术前全景X线片计算种植体植入区域牙槽骨的放射学分形维数。使用Spearman检验将植入扭矩和共振频率值与分形维数值进行比较。
所有种植体均成功,随访期间无种植体丢失。观察到分形维数与共振频率之间、分形维数与植入扭矩之间以及共振频率与植入扭矩之间存在线性相关性。
这些结果表明,在种植手术前,通过全景X线片对分形维数进行无创测量可能有助于预测骨质量,从而预测牙种植体的初期稳定性。