Guo Lian
Ninth People's Hospital, School of Stomatology, Shanghai Second Medical University, Shanghai 200011, China.
Shanghai Kou Qiang Yi Xue. 2005 Aug;14(4):411-5.
To evaluate the morphology of dental arches.
62 (male: 36, female: 26) paired casts having normal dentitions and occlusion were selected from 396 (age: 18 to 26 years old; male: 257, female: 139) sets of dental study models. The maxillary dentitions were preliminarily classified as square, round-square, round and round V-shaped arches based on the conventional morphological descriptions. Midpoints of the incisor edge (I1(R), I1(L), I2(R), &I2(L)), summits of the cuspids (C(R) & C(L)), buccal cusps of the premolars (P1(R), P1(L), P2(R), & P2(L)), mesial buccal cusps of the first and second molars (M1(R), M1(L), M2(R), & M2(L)), and the midpoint (A) of line I1(R)-I1(L) were designated as reference points. From A, let a vertical line intersected line M2(R)-M2(L) at reference point B. The line A-B intersected CR-CL at reference point E. The following items were evaluated: (1) the protrusion of the cuspids by 1. angle I2(R)-C(R)-P1(R) (angle R) + angle I2(L)-C(L)-P1(L) (angle L); (2) the curvature of the anterior teeth by 2. A-B/C(R)-C(L), 3. 180 degrees-angle C(R)-A-C(L), and 4. A-E/C(R)-C(L); (3) the length to width ratio of the dental arch by 5. A-B/M2(R)-M2(L); (4) the degree of roundness of the maxillary arch by estimation of 6. (rtheta(5)-rtheta(4))(R)+(rtheta(5)-rtheta(4))(L); and (5) an item 7. for the differentiation of type I and type II round-square arches by relating the bilateral contour and position of break line P1-P2-M1-M2 (i) to line P1-M2 (ii). The data of items 1, 2, 3, 4, 5, and 6 were further standardized and summarized into three essential principal components: (1) the curvature of the anterior teeth, (2) the curvilinear contour of the dental arch, and (3) the length-to-width ratio of the dental arch.
(1) 60% of the maxillary dentitions were round-square arches which showed no prominent principal component; (2) square maxillary arches distinctly showed a small 1. angle R+angle L; (3) round arches were characteristic by small 6 (rtheta(5)-rtheta(4))(R)+(rtheta(5)-rtheta(4))(L) values; and (4) round V-shaped arches had large 2, 3 and 4 values.
We concluded that parameters 1, 2, 3, 4, 5, 6 and 7 were summarized into three principal components (first principal component, second principal component and third principal component). Through three principal component analysis, we can quickly evaluate the morphology of the dental arches clinically. This methods is simple and of validity. And we can also obtain the characteristics of maxillary dental arches.
评估牙弓形态。
从396套牙科学研究模型(年龄:18至26岁;男性:257例,女性:139例)中选取62例(男性:36例,女性:26例)具有正常牙列和咬合关系的成对模型。根据传统形态学描述,将上颌牙列初步分为方形、方圆、圆形和圆V形牙弓。指定切缘中点(I1(右)、I1(左)、I2(右)和I2(左))、尖牙顶点(C(右)和C(左))、前磨牙颊尖(P1(右)、P1(左)、P2(右)和P2(左))、第一和第二磨牙近中颊尖(M1(右)、M1(左)、M2(右)和M2(左))以及I1(右)-I1(左)线的中点(A)作为参考点。从A点作一条垂直线与M2(右)-M2(左)线在参考点B相交。线A-B与CR-CL在参考点E相交。评估以下项目:(1)尖牙的突出度,通过1.角I2(右)-C(右)-P1(右)(角R)+角I2(左)-C(左)-P1(左)(角L);(2)前牙的曲度,通过2. A-B/C(右)-C(左)、3. 180度-角C(右)-A-C(左)和4. A-E/C(右)-C(左);(3)牙弓的长宽比,通过5. A-B/M2(右)-M2(左);(4)上颌弓的圆度,通过估计6.(rtheta(5)-rtheta(4))(右)+(rtheta(5)-rtheta(4))(左);以及(5)项目7.通过关联断线P1-P2-M1-M2的双侧轮廓和位置(i)与线P1-M2(ii)来区分I型和II型方圆牙弓。项目1、2、3、4、5和6的数据进一步标准化并归纳为三个主要主成分:(1)前牙的曲度,(2)牙弓的曲线轮廓,(3)牙弓的长宽比。
(1)60%的上颌牙列为方圆牙弓,未显示出突出的主成分;(2)方形上颌牙弓明显显示出较小的1.角R+角L;(3)圆形牙弓的特征是较小的6(rtheta(5)-rtheta(4))(右)+(rtheta(5)-rtheta(4))(左)值;(4)圆V形牙弓的2、3和4值较大。
我们得出结论,参数1、2、3、4、5、6和7归纳为三个主成分(第一主成分、第二主成分和第三主成分)。通过三个主成分分析,我们可以在临床上快速评估牙弓形态。该方法简单且有效。我们还可以获得上颌牙弓的特征。