1. Hitachi Ltd. 1-1 7-chome, Oomika-cho, Hitachi-shi, Ibaraki 319-1292, Japan
2. Graduate School of Biomedical Science and Engineering, Hokkaido University, North15 West7, Kita-ku, Sapporo, Hokkaido 060-8638, Japan
3. Department of Medical Physics, Hokkaido University Hospital, North14 West5, Kita-ku, Sapporo, Hokkaido 060-8638, Japan
4. Division of Quantum Science and Engineering, Faculty of Engineering, Hokkaido University, North13 West8, Kita-ku, Sapporo, Hokkaido 060-8638, Japan
5. Global Station of Quantum Medical Science and Engineering, Global Institution for Collaborative Research and Education, Hokkaido University, North15 West7, Kita-ku, Sapporo, Hokkaido 060-8638, Japan
6. Department of Medical Physics, Graduate School of Medicine, Hokkaido University, North15 West7, Kita-ku, Sapporo, Hokkaido 060-8638, Japan
7. Department of Therapeutic Radiology, Faculty of Medicine, Hokkaido University, North15 West7, Kita-ku, Sapporo, Hokkaido 060-8638, Japan
8. Department of Biostatistics, Graduate School of Medicine, Hokkaido University, North15 West7, Kita-ku, Sapporo, Hokkaido 060-8638, Japan
9. Department of Proton Beam Therapy, Faculty of Medicine, Hokkaido University, North15 West7, Kita-ku, Sapporo, Hokkaido 060-8638, Japan
10. Department of Radiation Medical Science and Engineering, Faculty of Medicine, Hokkaido University, North15 West7, Kita-ku, Sapporo, Hokkaido 060-8638, Japan