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