1. Department of Radiation Medicine, Hokkaido University Graduate School of Medicine, Kita 15, Nishi 7, Kita-ku, Sapporo, 060-8638, Japan
2. Proton Medical Research Center, University of Tsukuba, Amakubo 2-1-1, Tsukuba, 305-8576, Japan
3. Proton Therapy Division, Shizuoka Cancer Center Hospital, 1007 Shimonagakubo, Nagaizumi, Shizuoka, 411-8777, Japan
4. Department of Medical Physics, Hokkaido University Hospital, Kita 14, Nishi 5, Kita-ku, Sapporo, 060-8648, Japan
5. Quantum Medical Science and Engineering, Hokkaido University Graduate School of Medicine, Kita 15, Nishi 7, Kita-ku, Sapporo, 060-8638, Japan
6. Department of Biostatistics, Hokkaido University Graduate School of Medicine, Kita 15, Nishi 7, Kita-ku, Sapporo, 060-8638, Japan