1. Department of Orthodontics and Dentofacial Orthopedics, Graduate School of Dentistry, Ohu University, Koriyama 963-8611, Japan
2. Division of Orthodontics and Dentofacial Orthopedics, Department of Oral Growth and Development, School of Dentistry, Ohu University, Koriyama 963-8611, Japan
3. Department of Plastic and Reconstructive Surgery, Fukushima Medical University Hospital, Fukushima 960-1295, Japan
4. Okamoto Orthodontic Clinic, Sapporo-shi 060-0001, Japan
5. Division of Pediatric Dentistry, Department of Oral Growth and Development, School of Dentistry, Ohu University, Koriyama 963-8611, Japan