1. Graduate Student, Department of Orthodontics, School of Dentistry, Showa University, Tokyo, Japan.
2. Associate Professor, Department of Orthodontics, School of Dentistry, Showa University, Tokyo, Japan.
3. Research Assistant, Department of Orthodontics, School of Dentistry, Showa University, Tokyo, Japan.
4. Research Assistant, Department of Orthodontics, Suez Canal University, Ismailia, Egypt.
5. Assistant Professor, Department of Orthodontics, School of Dentistry, Showa University, Tokyo, Japan.
6. Professor, Department of Orthodontics, School of Dentistry, Showa University, Tokyo, Japan.
7. Associate Professor, Department of Human Biology and Anatomy, Graduate School of Medicine, University of the Ryukyus, Okinawa, Japan.