1. Division of Orthodontics and Dentofacial Orthopedics, Graduate School of Dentistry, Tohoku University , Sendai, Miyagi , Japan
2. Section of Orthodontics and Dentofacial Orthopedics, Faculty of Dental Science, Kyushu University , Fukuoka, Fukuoka , Japan
3. Department of Biomaterials and Bioengineering, Faculty of Dental Medicine, Hokkaido University , Sapporo, Hokkaido , Japan