[1] Tohoku Univ, Grad Sch Dent, Div Orthodont & Dentofacial Orthoped, 4-1 Seiryo Machi,Aoba Ku, Sendai, Miyagi 9808575, Japan
[2] Tohoku Univ, Grad Sch Dent, Div Oral & Craniofacial Anat, 4-1 Seiryo Machi,Aoba Ku, Sendai, Miyagi 9808575, Japan
[3] Univ Louisville, Div Orthodont & Prosthodont, 501 S Preston St,Room 362A, Louisville, KY 40202 USA