1. a Research Fellow, Department of Orthodontics and Dentofacial Orthopedics, The Tokushima University Medical and Dental Hospital, Tokushima, Japan
2. Corresponding author: Dr Yuko Kondo, Department of Orthodontics and Dentofacial Orthopedics, The Tokushima University Medical and Dental Hospital, 3-18-15, Kuramoto-cho, Tokushima 770-8504, Japan (tomiyu@dent.tokushima-u.ac.jp)
3. b Assistant Professor, Department of Orthodontics and Dentofacial Orthopedics, The University of Tokushima Graduate School of Oral Sciences, Tokushima, Japan
4. c Associate Professor, Department of Orthodontics and Dentofacial Orthopedics, The University of Tokushima Graduate School of Oral Sciences, Tokushima, Japan
5. d Professor and Department Chair, Department of Orthodontics and Dentofacial Orthopedics, The University of Tokushima Graduate School of Oral Sciences, Tokushima, Japan
6. e Professor and Department Chair, Department of Maxillofacial Orthognathics, Tokyo Medical and Dental University, Tokyo, Japan