1. a Associate Professor, Department of Orthodontics, The Nippon Dental University Niigata Hospital, Niigata, Japan
2. b Research Assistant, Department of Orthodontics, The Nippon Dental University, Niigata Hospital, Niigata, Japan
3. c Professor and Chairman, Department of Pediatric Dentistry, The Nippon Dental University, School of Life Dentistry at Niigata, Niigata, Japan