1. Department of Orthodontics, Graduate School of Clinical Dental Science, The Catholic University of Korea, Seoul, Korea.
2. Postgraduate Orthodontic Program, Arizona School of Dentistry & Oral Health, A.T. Still University, Mesa, AZ, USA.
3. Graduate School of Dentistry, Kyung Hee University, Seoul, Korea.
4. Department of Dentistry, Graduate School, The Catholic University of Korea, Seoul, Korea.
5. Department of Postgraduate Studies, the Universidad Autonóma del Paraguay, Asunción, Paraguay.
6. Department of Orthodontics, Seoul St. Mary's Hospital, College of Medicine, The Catholic University of Korea, Seoul, Korea.
7. Department of Oral and Maxillofacial Surgery, Seoul St. Mary's Hospital, College of Medicine, The Catholic University of Korea, Seoul, Korea.