1. Betts NJ, Vanarsdall RL, Barber HD, Higgins-Barber K, Fonseca RJ. Diagnosis and treatment of transverse maxillary deficiency. Int J Adult Orthodon Orthognath Surg. 1995. 10:75–96.
2. Lundström AF. Malocclusion of the teeth regarded as a problem in connection with the apical base. Int J Orthod Oral Surg Radiogr. 1925. 9:591–602. 724–731. 793–812. 933–940. 1022–1042. 1109–1133.
Article
3. Proffit WR, Fields HW, Sarver DM. Proffit WR, Fields HW, Sarver DM, editors. Orthodontic treatment planning: limitations, controversies, and special problems. Contemporary orthodontics. 2000. St Louis: Mosby;276–279.
4. Strang RHW. The fallacy of denture expansion as a treatment procedure. Angle Orthod. 1949. 19:12–22.
5. Handelman CS. The anterior alveolus: its importance in limiting orthodontic treatment and its influence on the occurrence of iatrogenic sequelae. Angle Orthod. 1996. 66:95–109.
6. Johnson KC. Cases six years postretention. Angle Orthod. 1977. 47:210–221.
7. Little RM, Wallen TR, Riedel RA. Stability and relapse of mandibular anterior alignment-first premolar extraction cases treated by traditional edgewise orthodontics. Am J Orthod. 1981. 80:349–365.
Article
8. Shapiro PA. Mandibular dental arch form and dimension. Treatment and postretention changes. Am J Orthod. 1974. 66:58–70.
9. Carmen M, Marcella P, Giuseppe C, Roberto A. Periodontal evaluation in patients undergoing maxillary expansion. J Craniofac Surg. 2000. 11:491–494.
Article
10. Vanarsdall RL. Graber TM, Swain BF, editors. Periodontal/orthodontic interrelationships. Orthodontics, current principles and techniques. 1994. St Louis: Mosby;712–749.
11. Vanarsdall RL Jr. Transverse dimension and long-term stability. Semin Orthod. 1999. 5:171–180.
Article
12. Vanarsdall RL, White RP Jr. Three-dimensional analysis for skeletal problems. Int J Adult Orthodon Orthognath Surg. 1994. 9:159.
13. Andrews LF, Andrews WA. The six elements of orofacial harmony. Andrews J. 2000. 1:13–22.
14. Ball RL, Miner RM, Will LA, Arai K. Comparison of dental and apical base arch forms in Class II Division1 and Class I malocclusions. Am J Orthod Dentofacial Orthop. 2010. 138:41–50.
Article
15. Gupta D, Miner RM, Arai K, Will LA. Comparison of the mandibular dental and basal arch forms in adults and children with Class I and Class II malocclusions. Am J Orthod Dentofacial Orthop. 2010. 138:10.e1–10.e8.
Article
16. Ronay V, Miner RM, Will LA, Arai K. Mandibular arch form: the relationship between dental and basal anatomy. Am J Orthod Dentofacial Orthop. 2008. 134:430–438.
Article
17. Kim SC. A study on the configurations of Korean normal dental arches for preformed arch wire. Korean J Orthod. 1984. 14:93–101.
18. Kook YA, Nojima K, Moon HB, McLaughlin RP, Sinclair PM. Comparison of arch forms between Korean and North American white populations. Am J Orthod Dentofacial Orthop. 2004. 126:680–686.
Article
19. Merz ML, Isaacson RJ, Germane N, Rubenstein LK. Tooth diameters and arch perimeters in a black and a white population. Am J Orthod Dentofacial Orthop. 1991. 100:53–58.
Article
20. Nojima K, McLaughlin RP, Isshiki Y, Sinclair PM. A comparative study of Caucasian and Japanese mandibular clinical arch forms. Angle Orthod. 2001. 71:195–200.
21. Nummikoski P, Prihoda T, Langlais RP, McDavid WD, Welander U, Tronje G. Dental and mandibular arch widths in three ethnic groups in Texas: a radiographic study. Oral Surg Oral Med Oral Pathol. 1988. 65:609–617.
Article
22. Yun YK, Kook YA, Kim SH, Mo SS, Cha KS, Kim JG, et al. Mandibular clinical arch forms in Koreans with normal occlusions. Korean J Orthod. 2004. 34:481–487.
23. Bayome M, Sameshima GT, Kim Y, Nojima K, Baek SH, Kook YA. Comparison of arch form between Egyptian and North American white populations. Am J Orthod Dentofacial Orthop. 2011. 139:e245–e252.
24. Cordato MA. A simple mathematical study of anterior dental relations: Part I. Aust Orthod J. 1995. 13:249–252.
25. Cordato MA. A mathematical study of anterior dental relations: Part II, Incisor and canine overjet. Aust Orthod J. 1996. 14:143–149.
26. Cordato MA. A simple mathematical study of anterior dental relations: Part III: incisor and canine overbite. Aust Orthod J. 1998. 15:75–84.
27. Ferrario VF, Sforza C, Miani A Jr, Tartaglia G. Maxillary versus mandibular arch form differences in human permanent dentition assessed by Euclidean-distance matrix analysis. Arch Oral Biol. 1994. 39:135–139.
Article
28. Ferrario VF, Sforza C, Miani A Jr, Tartaglia G. Mathematical definition of the shape of dental arches in human permanent healthy dentitions. Eur J Orthod. 1994. 16:287–294.
Article
29. Lee YC, Park YC. A study on the dental arch by occlusogram in normal occlusion. Korean J Orthod. 1987. 17:279–287.
30. Kook YA, Bayome M, Park SB, Cha BK, Lee YW, Beck SH. Overjet at the anterior and posterior segments: three-dimensional analysis of arch coordination. Angle Orthod. 2009. 79:495–501.
Article
31. Triviño T, Siqueira DF, Scanavini MA. A new concept of mandibular dental arch forms with normal occlusion. Am J Orthod Dentofacial Orthop. 2008. 133:10.e15–10.e22.
Article
32. Kim BI, Bayome M, Kim Y, Baek SH, Han SH, Kim SH, et al. Comparison of overjet among 3 arch types in normal occlusion. Am J Orthod Dentofacial Orthop. 2011. 139:e253–e260.
Article
33. Andrews LF. The six keys to normal occlusion. Am J Orthod. 1972. 62:296–309.
Article
34. Felton JM, Sinclair PM, Jones DL, Alexander RG. A computerized analysis of the shape and stability of mandibular arch form. Am J Orthod Dentofacial Orthop. 1987. 92:478–483.
Article
35. Pepe SH. Polynomial and catenary curve fits to human dental arches. J Dent Res. 1975. 54:1124–1132.
Article
36. Fujita K, Takada K, QianRong G, Shibata T. Patterning of human dental arch wire blanks using a vector quantization algorithm. Angle Orthod. 2002. 72:285–294.
37. Sergl HG, Kerr WJ, McColl JH. A method of measuring the apical base. Eur J Orthod. 1996. 18:479–483.
Article
38. Tweed CH. A philosophy of orthodontic treatment. Am J Orthod Oral Surg. 1945. 31:74–103.
Article
39. Hesby RM, Marshall SD, Dawson DV, Southard KA, Casko JS, Franciscus RG, et al. Transverse skeletal and dentoalveolar changes during growth. Am J Orthod Dentofacial Orthop. 2006. 130:721–731.
Article
40. Quimby ML, Vig KW, Rashid RG, Firestone AR. The accuracy and reliability of measurements made on computer-based digital models. Angle Orthod. 2004. 74:298–303.
41. Zilberman O, Huggare JV, Parikakis KA. Evaluation of the validity of tooth size and arch widthmeasurements using conventional and three-dimensional virtual orthodotic models. Angle Orthod. 2003. 73:301–306.
42. Costalos PA, Sarraf K, Cangialosi TJ, Efstratiadis S. Evaluation of the accuracy of digital model analysis for the American Board of Orthodontics objective grading system for dental casts. Am J Orthod Dentofacial Orthop. 2005. 128:624–629.
Article
43. Sangcharearn Y, Ho C. Effect of incisor angulation on overjet and overbite in class II camouflage treatment. A typodont study. Angle Orthod. 2007. 77:1011–1018.
Article
44. Lowe DW, Forbes DB, Hicken J, Skarin D. The effect of labiolingual tooth dimension on proper overbite and overjet. Northwest Dent Res. 1997. 7:31–43.