1. a PhD student, Department of Orthodontics and Dentofacial Orthopedics, Nagasaki University Graduate School of Biomedical Sciences, Nagasaki, Japan
2. b Senior Assistant Professor, Department of Orthodontics and Dentofacial Orthopedics, Nagasaki University Graduate School of Biomedical Sciences, Nagasaki, Japan
3. c Resident in Orthodontics, Okumura Dental Clinic, Nagasaki, Japan
4. d Assistant Professor, Department of Orthodontics and Dentofacial Orthopedics, Nagasaki University Graduate School of Biomedical Sciences, Nagasaki, Japan
5. e Professor and Chair, Department of Orthodontics, University of Sydney, Sydney Dental Hospital, South Western Sydney Area Health Service, Sydney, Australia
6. f Professor and Chair, Department of Orthodontics and Dentofacial Orthopedics, Nagasaki University Graduate School of Biomedical Sciences, Nagasaki, Japan