[1] Tohoku Univ, Grad Sch Dent, Div Orthodont & Dentofacial Orthoped, Aoba Ku, Sendai, Miyagi 9808575, Japan
[2] Okayama Univ, Grad Sch Med Dent & Pharmaceut Sci, Dept Orthodont & Dentofacial Orthoped, Okayama 7008530, Japan
[3] Kagoshima Univ, Grad Sch Med & Dent Sci, Dept Orthodont, Kagoshima 890, Japan
[4] Okayama Univ, Grad Sch Med Dent & Pharmaceut Sci, Dept Biochem & Mol Dent, Okayama 7008530, Japan