1. * Department of Oral and Maxillofacial Growth and Development, Orthodontics and Dentofacial Orthopedics, The Nippon Dental University Graduate School of Life Dentistry at Niigata , Hamaura-cho, Chuo-ku, Niigata , Japan
2. † Department of Orthodontic Dentistry, The Nippon Dental University Niigata Hospital , Hamaura-cho, Chuo-ku, Niigata , Japan
3. ‡ Department of Orthodontics, The Nippon Dental University School of Life Dentistry at Niigata , Hamaura-cho, Chuo-ku, Niigata , Japan