1. aAssistant Professor, Department of Orthodontics, Center of Developmental Dentistry, Medical and Dental Hospital, Kagoshima University, Kagoshima, Japan
2. bProfessor and Department Chair, Department of Oral and Maxillofacial Surgery, Miyazaki Medical College, University of Miyazaki, Miyazaki, Japan
3. cProfessor and Department Chair, Department of Orthodontics, Field of Developmental Medicine, Health Research Course, Graduate School of Medical and Dental Sciences, Kagoshima University, Kagoshima, Japan