[1] Kanagawa Dent Univ, Sch Dent, Dept Orthodont, Yokosuka 2388580, Japan
[2] Pusan Natl Univ Dent Hosp, Dept Orthodont, Yangsan 50612, South Korea
[3] Univ Kentucky, Coll Dent, Div Orthodont, Lexington, KY 40536 USA
[4] Suez Canal Univ, Dept Orthodont, Ismailia 41522, Egypt