1. a Graduate PhD student, Graduate School (Unit of Orthodontics) and Institute for Oral Science, Matsumoto Dental University School of Dentistry, Nagano, Japan
2. b Professor and Head, Graduate School (Unit of Orthodontics) and Institute for Oral Science, Matsumoto Dental University School of Dentistry, Nagano, Japan. Professor, Orthodontic Postgraduate Program, Department of Preventive Dentistry, National University of Singapore and Hospital, Faculty of Dentistry, Singapore
3. c Associate Professor, Graduate School (Unit of Orthodontics) and Institute for Oral Science, Matsumoto Dental University School of Dentistry, Nagano, Japan
4. d Private practice, Hyogo-ken, Japan
5. e Associate Professor, Department of Oral Implantology, Osaka Dental University, Osaka, Japan
6. f Associate Professor, Orthodontic Postgraduate Program, Department of Preventive Dentistry, National University of Singapore and Hospital, Faculty of Dentistry, Singapore