Triviño Tarcila, Siqueira Danilo Furquim, Scanavini Marco Antonio
Methodist University of São Paulo, São Bernardo do Campo, São Paulo, Brazil.
Am J Orthod Dentofacial Orthop. 2008 Jan;133(1):10.e15-22. doi: 10.1016/j.ajodo.2007.07.014.
Because it is important to maintain dental arch dimensions during orthodontic therapy, all possible dental arch forms must be evaluated.
A mathematical method associated with a polynomial function was used to evaluate the dental arch forms of 63 mandibular models of Brazilian adolescents in the permanent dentition with normal occlusion. A bead was glued to each tooth to simulate an orthodontic accessory and help in the measurement of distances between the center of the bead to the x- and y-axes. The dental casts were digitized, and images were plotted on a computer program to obtain the sixth-degree polynomial and the graph of this function. These segments were organized into 8 groups according to the form of the anterior curve of the dental arch; these were named forms A through H. Each group was subdivided into 3 subgroups: small, medium, and large sizes.
Form A was the most frequently observed at 22%, whereas form G was observed in only 2% of the total sample. Forms A, B, C, D, E, and F had more curve segments in medium size, and forms G and H had more curves in small size. A mean dental arch curve was calculated; however, this form coincided with form C, which had an incidence of 10%.
The mandibular dental arch is represented by 23 forms; thus, a normal dental arch cannot be represented by only 1 simple arch form.
由于在正畸治疗期间保持牙弓尺寸很重要,所以必须评估所有可能的牙弓形态。
采用一种与多项式函数相关的数学方法,对63个巴西恒牙列期正常咬合青少年的下颌模型的牙弓形态进行评估。在每颗牙齿上粘贴一个珠子以模拟正畸附件,并有助于测量珠子中心到x轴和y轴的距离。将石膏模型数字化,并在计算机程序上绘制图像,以获得六次多项式及其函数图像。根据牙弓前曲线的形态,将这些片段分为8组;分别命名为A至H型。每组再细分为3个亚组:小、中、大尺寸。
A形最常见,占22%,而G形仅占总样本的2%。A、B、C、D、E和F形在中等尺寸中有更多的曲线段,而G和H形在小尺寸中有更多的曲线。计算出了平均牙弓曲线;然而,这种形态与C形一致,C形的发生率为10%。
下颌牙弓由23种形态表示;因此,正常牙弓不能仅由1种简单的牙弓形态来表示。