Morphological Classification of Mandibular Dental Arch Forms by Correlation and Principal Component Analyses

Abstract

To evaluate the morphology of dental arches, 53 (male: 29, female: 24) 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 mandibular 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 (I1R, I1L, I2R, & I2L), summits of the cuspids (CR & CL), buccal cusps of the premolars (P1R, P1L, P2R, & P2L), mesial buccal cusps of the first and second molars (M1R, M1L, M2R, & M2L), and the midpoint (A) of line I1R-I1L were designated as reference points. From A, let a vertical line intersected line M2R-M2L at reference point B. The line A-B intersected CR-CL at reference point E. We evaluated 1) the protrusion of the cuspids by 1. angle I2R-CR-P1R (angle R) + angle I2L-CL-P1L (angle L); 2) the curvature of the anterior teeth by 2. (A-B)/(CR-CL), 3. (180 degrees-angle(CR-A-CL), and 4. (A-E)/(CR-CL); 3) the length to width ratio of the dental arch by 5. (A-B)/(M2R-M2L); 4) the degree of roundness of the mandibular arch by estimation of 6. (rtheta5 - rtheta4)R + (rtheta5 - rtheta4)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. The results indicated that: 1) 36 cases (67.9%) of the mandibular dentitions were round-square arches which showed no prominent principal component. 11 cases (20.8%) were square arches and 6 cases (11.3%) were round V-shaped arches; no round arches was found in mandibular dentitions. 2) Statistical analysis indicated significant differences of items 3., 4. and 6. in various mandibular arches (Student's t-test). 3) By examination of the three principal components, significant differences of item 5. between the round V-shaped arches and square and round-square mandibular arches were evident (Student's t-test). The present study elucidated that morphology of the mandibular arch was determined by a parameters representing the curvature of anterior teeth (composed of items 2., 3. and 4., and another parameter (item 6.) representing roundness of the mandibular arch.