1. a PhD Graduate Student, Department of Orthodontics and Dentofacial Orthopedics, Nagasaki University Graduate School of Biomedical Sciences, Nagasaki, Japan
2. b Assistant Professor, Department of Orthodontics and Dentofacial Orthopedics, Nagasaki University Graduate School of Biomedical Sciences, Nagasaki, Japan
3. c Senior Assistant Professor, Department of Orthodontics and Dentofacial Orthopedics, Nagasaki University Graduate School of Biomedical Sciences, Nagasaki, Japan
4. d Clinical Professor, Department of Oral and Maxillofacial Surgery, Kanagawa Dental College, Yokosuka, Japan
5. e Professor and Chair, Department of Orthodontics and Dentofacial Orthopedics, Nagasaki University Graduate School of Biomedical Sciences, Nagasaki, Japan
6. Corresponding author: Dr. Noriaki Yoshida, Department of Orthodontics and Dentofacial Orthopedics, Nagasaki University Graduate School of Biomedical Sciences, Sakamoto 1-7-1, Nagasaki, 852-8588 Japan(nori@nagasaki-u.ac.jp)