1. Deparment of Orthodontics, Faculty of Dental Science, Kyushu University, 3-1-1 Maidashi, Higashi-ku, Fukuoka City, Fukuoka Prefecture 812-8582, Japan
2. Hanaoka Orthodontic Clinic, 3-1 Sakae Town, Munakata City, Fukuoka Prefecture 811-4173, Japan
3. Department of Orthodontics, St. Mary's Hospital, 4422 Tsubukuhon-machi, Kurume City, Fukuoka Prefecture 830-8543, Japan