1. Division of Orthodontics and Dentofacial Orthopedics and
2. Division of Oral Dysfunction Science, Department of Oral Health and Development Sciences, School of Dentistry, Tohoku University, 4-1 Seiryo-cho, Aoba-ku, Sendai 980-8575, Japan; and
3. Shimizu Orthodontic Clinic, 6-1, 2F ESTA-Build., Sakae-cho, Fukushima 960-8031, Japan