模拟天津市汉族青年个体化弓丝形态的数学模型的研究

The study of mathematics model of customized dental arch in Han race of young adult in Tianjin

目的:建立天津市汉族青年个体化弓丝形态模型。方法:从天津市3000名汉族青年选取正常个体103例,其中男性50名,年龄17-20岁,平均年龄18.23岁;女性53名,年龄17-20岁,平均年龄18.95岁。对正常个体行牙周洁治术后采集模型,建立中切牙冠宽与牙弓的函数关系,在Matlab 7.0实验平台下完成个体化理想弓形的建立。结果:通过Matlab 7.0试验平台,成功建立天津市汉族青年上颌及下颌个体化理想弓丝的数学模型。上颌牙弓曲线方程式y=-2.9517×10-8 x6+1.017×10-6 x5+3.8293×10-5 x4+1.1087×10-3x3+1.902965×10-2x2-3.6283×10-1x-5.6956+6.1503×10-2lx+1.4355l-7.7697×10-2l2。下颌牙弓曲线方程式y=-3.0555×10-8x6-7.3778×10-7x5+4.0995×10-5x4+7.4784×10-4x3+2.162555×10-2x2-3.5621×10-1x-6.65453+9.0892×10-2lx+2.3699l-1.9409×10-1l2。结论:个体化理想牙弓弓形软件的应用便于正畸临床个体化治疗。

Objective： To study the system of customized dental arch in Han nationality of young adults in Tianjin. Methods： After periodontal scaling, the data were systematically derived from 103 people with normal occlusion in Han na- tionality of Tianjin young adults. Establishment of customized dental arch was performed using Matlab 7.0. Results： Estab- lish the system of customized dental arch in Han race of young adult in Tianjin with Matlab 7.0. Dental arch equation are y=-2.9517×10-8X6＋1.017×10-6X-5＋3.8293×10-5x4＋1.1087×10-3X-3＋1.902965×10-2X0-3.6283×10-1X-5.6956＋6.1503×10-2x＋1.43551-7.7697×10-2I2. and y=-3.0555×10-8x6-7.3778×10-7X5＋4.0995×10-5x4＋7.4784×10-4X-3＋2.162555×10-2X2-3.5621×10-1X-6.65453＋9.0892×10-2lx＋2.36991-1.9409×10-lI2. Conclusion： The system of customized dental arch can instruct the clinical therapy.