1. a PhD Graduate Student, Department of Orthodontics, School of Dentistry, Nagasaki University, Nagasaki City, Japan
2. b Assistant Professor, Department of Orthodontics, School of Dentistry, Nagasaki University, Nagasaki City, Japan
3. c Professor and Department Chair, Department of Orthodontics, School of Dentistry, Nagasaki University, Nagasaki City, Japan