Elovikova A N, Niashin M Iu, Simanovskaia E Iu, Gvozdeva L M, Niashin Iu I
Stomatologiia (Mosk). 2002;81(3):51-4.
The results of biomechanical investigations of the central incisor having the formed root by mathematical modeling methods are presented. The centre of resistance of a tooth, the optimal horizontal forces of action and reaction were determined. The advantage of discontinuous forces due to amortization influence of periodontal ligament fluid was biomechanically proven. The recommendations which were given after experiments and mathematical modelling were used during orthodontic treatment of 30 patients (12-18 years) with anomalies of dental arches and occlusions by mechanically acting appliances and combined ones. At the end of the treatment 90.0% of the patients had physiological teeth angulation, 93.3% had the physiological torque. However using the removable single-jaw mechanically acted appliances had not lead to improvement of the first Angle-Endruce's key in 50.0% of the patients and to elimination of gaps between teeth in 23.4% of the patients.
本文展示了通过数学建模方法对已形成牙根的中切牙进行生物力学研究的结果。确定了牙齿的抗力中心、最佳水平作用力和反作用力。从生物力学角度证明了由于牙周膜液的缓冲作用，间断力具有优势。在对30例（12 - 18岁）牙弓和咬合异常患者使用机械作用矫治器和联合矫治器进行正畸治疗期间，采用了实验和数学建模后给出的建议。治疗结束时，90.0%的患者牙齿角度正常，93.3%的患者扭矩正常。然而，使用可摘单颌机械作用矫治器，50.0%的患者并未改善安氏Ⅰ类错（牙合）的关键指标，23.4%的患者牙齿间隙未消除。
