1. Proton Medical Research Center, Department of Radiation Oncology, University of Tsukuba Hospital, Tsukuba 305-8576, Ibaraki, Japan
2. Department of Radiation Oncology, Tsukuba Medical Center Hospital, Tsukuba 305-8558, Ibaraki, Japan
3. Department of Biostatistics, Institute of Medicine, University of Tsukuba, Tsukuba 305-8576, Ibaraki, Japan