1. Postgraduate Orthodontic Program, Arizona School of Dentistry & Oral Health, A. T. Still University, Mesa, AZ, USA.
2. Graduate School of Dentistry, Kyung Hee University, Seoul, Korea, Korea.
3. Department of Orthodontics and Wonkwang Dental Research Institute, University of Wonkwang School of Dentistry, Iksan, Korea.
4. Department of Interdisciplinary Health Sciences, A. T. Still University, Mesa, AZ, USA.
5. Department of Orthodontics, University of Wonkwang School of Dentistry, Iksan, Korea.
6. Department of Orthodontics, Wonkwang University Sanbon Dental Hospital, Gunpo, Korea.