データの二次利用において，シンボリックデータ解析による発見的な解析で重要な 知見が得られることが示された．
付 録 A シミュレーション DVH の結 果一覧
図3.11，図3.16，図3.21のシミュレーションDVHについて，各DVHの最適照 射線量ならびに照射回数の一覧を次に示す．なお，各種パラメータは，α1 = 0.15， β1 = 0.015，α0 = 0.04，β0 = 0.02，Tk= 0，Tpot = 28，Dt,1 =Dt,0 = 6と設定した．
表 A.1: シミュレーションDVH（Type 1）における最適照射線量と照射回数一覧
（ASF）(δ= 0.01〜0.33)
LQ LQ-R USC USC-R
δ d N d N d N d N
0.01 24.80 1 23.99 1 40.88 1 38.70 1 0.02 24.80 1 23.99 1 14.72 3 14.04 3 0.03 24.80 1 23.99 1 11.45 4 14.04 3 0.04 24.80 1 23.99 1 11.45 4 10.96 4 0.05 24.80 1 23.99 1 9.48 5 10.96 4 0.06 24.80 1 23.99 1 9.48 5 9.11 5 0.07 24.80 1 23.99 1 8.18 6 9.11 5 0.08 24.80 1 23.99 1 8.18 6 9.11 5 0.09 24.80 1 23.99 1 8.18 6 7.88 6 0.10 24.80 1 23.99 1 7.24 7 7.88 6 0.11 24.80 1 23.99 1 7.24 7 7.88 6 0.12 24.80 1 23.99 1 7.24 7 7.00 7 0.13 24.80 1 23.99 1 7.24 7 7.00 7 0.14 24.80 1 23.99 1 6.54 8 7.00 7 0.15 24.80 1 23.99 1 6.54 8 7.00 7 0.16 24.80 1 23.99 1 6.54 8 6.34 8 0.17 24.80 1 23.99 1 6.54 8 6.34 8 0.18 24.80 1 23.99 1 6.00 9 6.34 8 0.19 24.80 1 23.99 1 6.00 9 6.34 8 0.20 1.20 64 23.99 1 1.20 64 6.34 8 0.21 0.80 100 10.17 4 0.80 100 5.82 9 0.22 0.80 100 6.33 8 0.80 100 5.82 9 0.23 0.80 100 4.72 12 0.80 100 4.72 12 0.24 0.80 100 3.99 15 0.80 100 3.99 15 0.25 0.80 100 3.48 18 0.80 100 3.48 18 0.26 0.80 100 3.21 20 0.80 100 3.21 20 0.27 0.80 100 2.88 23 0.80 100 2.88 23 0.28 0.80 100 2.69 25 0.80 100 2.69 25 0.29 0.80 100 2.54 27 0.80 100 2.54 27 0.30 0.80 100 2.40 29 0.80 100 2.40 29 0.31 0.80 100 2.27 31 0.80 100 2.27 31 0.32 0.80 100 2.16 33 0.80 100 2.16 33
表 A.2: シミュレーションDVH（Type 1）における最適照射線量と照射回数一覧
（ASF）(δ= 0.34〜0.66)
LQ LQ-R USC USC-R
δ d N d N d N d N
0.34 0.80 100 1.97 37 0.80 100 1.97 37 0.35 0.80 100 1.93 38 0.80 100 1.93 38 0.36 0.80 100 1.86 40 0.80 100 1.86 40 0.37 0.80 100 1.78 42 0.80 100 1.78 42 0.38 0.80 100 1.75 43 0.80 100 1.75 43 0.39 0.80 100 1.69 45 0.80 100 1.69 45 0.40 0.80 100 1.66 46 0.80 100 1.66 46 0.41 0.80 100 1.60 48 0.80 100 1.60 48 0.42 0.80 100 1.58 49 0.80 100 1.58 49 0.43 0.80 100 1.55 50 0.80 100 1.55 50 0.44 0.80 100 1.50 52 0.80 100 1.50 52 0.45 0.80 100 1.48 53 0.80 100 1.48 53 0.46 0.80 100 1.46 54 0.80 100 1.46 54 0.47 0.80 100 1.44 55 0.80 100 1.44 55 0.48 0.80 100 1.40 57 0.80 100 1.40 57 0.49 0.80 100 1.38 58 0.80 100 1.38 58 0.50 0.80 100 1.36 59 0.80 100 1.36 59 0.51 0.80 100 1.34 60 0.80 100 1.34 60 0.52 0.80 100 1.32 61 0.80 100 1.32 61 0.53 0.80 100 1.31 62 0.80 100 1.31 62 0.54 0.80 100 1.27 64 0.80 100 1.27 64 0.55 0.80 100 1.26 65 0.80 100 1.26 65 0.56 0.80 100 1.24 66 0.80 100 1.24 66 0.57 0.80 100 1.23 67 0.80 100 1.23 67 0.58 0.80 100 1.21 68 0.80 100 1.21 68 0.59 0.80 100 1.20 69 0.80 100 1.20 69 0.60 0.80 100 1.19 70 0.80 100 1.19 70 0.61 0.80 100 1.17 71 0.80 100 1.17 71 0.62 0.80 100 1.16 72 0.80 100 1.16 72 0.63 0.80 100 1.15 73 0.80 100 1.15 73 0.64 0.80 100 1.14 74 0.80 100 1.14 74 0.65 0.80 100 1.12 75 0.80 100 1.12 75
表 A.3: シミュレーションDVH（Type 1）における最適照射線量と照射回数一覧
（ASF）(δ= 0.66〜1.00)
LQ LQ-R USC USC-R
δ d N d N d N d N
0.67 0.80 100 1.10 77 0.80 100 1.10 77 0.68 0.80 100 1.10 77 0.80 100 1.10 77 0.69 0.80 100 1.09 78 0.80 100 1.09 78 0.70 0.80 100 1.08 79 0.80 100 1.08 79 0.71 0.80 100 1.07 80 0.80 100 1.07 80 0.72 0.80 100 1.06 81 0.80 100 1.06 81 0.73 0.80 100 1.05 82 0.80 100 1.05 82 0.74 0.80 100 1.04 83 0.80 100 1.04 83 0.75 0.80 100 1.03 84 0.80 100 1.03 84 0.76 0.80 100 1.03 84 0.80 100 1.03 84 0.77 0.80 100 1.02 85 0.80 100 1.02 85 0.78 0.80 100 1.01 86 0.80 100 1.01 86 0.79 0.80 100 1.00 87 0.80 100 1.00 87 0.80 0.80 100 0.99 88 0.80 100 0.99 88 0.81 0.80 100 0.98 89 0.80 100 0.98 89 0.82 0.80 100 0.98 89 0.80 100 0.98 89 0.83 0.80 100 0.97 90 0.80 100 0.97 90 0.84 0.80 100 0.97 91 0.80 100 0.97 91 0.85 0.80 100 0.96 92 0.80 100 0.96 92 0.86 0.80 100 0.96 92 0.80 100 0.96 92 0.87 0.80 100 0.95 93 0.80 100 0.95 93 0.88 0.80 100 0.94 94 0.80 100 0.94 94 0.89 0.80 100 0.93 95 0.80 100 0.93 95 0.90 0.80 100 0.93 95 0.80 100 0.93 95 0.91 0.80 100 0.93 96 0.80 100 0.93 96 0.92 0.80 100 0.92 97 0.80 100 0.92 97 0.93 0.80 100 0.91 98 0.80 100 0.91 98 0.94 0.80 100 0.91 98 0.80 100 0.91 98 0.95 0.80 100 0.91 99 0.80 100 0.91 99 0.96 0.80 100 0.90 100 0.80 100 0.90 100 0.97 0.80 100 0.90 100 0.80 100 0.90 100 0.98 0.80 100 0.90 100 0.80 100 0.90 100
表 A.4: シミュレーションDVH（Type 1）における最適照射線量と照射回数一覧
（IBED）(δ= 0.01〜0.33)
LQ LQ-R USC USC-R
δ d N d N d N d N
0.01 24.80 1 23.99 1 21.26 2 20.21 2 0.02 24.80 1 23.99 1 14.72 3 14.04 3 0.03 24.80 1 23.99 1 11.45 4 14.04 3 0.04 24.80 1 23.99 1 11.45 4 10.96 4 0.05 24.80 1 23.99 1 9.48 5 10.96 4 0.06 24.80 1 23.99 1 9.48 5 9.11 5 0.07 24.80 1 23.99 1 8.18 6 9.11 5 0.08 24.80 1 23.99 1 8.18 6 9.11 5 0.09 24.80 1 23.99 1 8.18 6 7.88 6 0.10 24.80 1 23.99 1 7.24 7 7.88 6 0.11 24.80 1 23.99 1 7.24 7 7.88 6 0.12 24.80 1 23.99 1 7.24 7 7.00 7 0.13 24.80 1 23.99 1 7.24 7 7.00 7 0.14 24.80 1 23.99 1 6.54 8 7.00 7 0.15 24.80 1 23.99 1 6.54 8 7.00 7 0.16 24.80 1 23.99 1 6.54 8 6.34 8 0.17 24.80 1 23.99 1 6.54 8 6.34 8 0.18 24.80 1 23.99 1 6.00 9 6.34 8 0.19 24.80 1 23.99 1 6.00 9 6.34 8 0.20 1.45 52 23.99 1 1.45 52 6.34 8 0.21 0.80 100 10.17 4 0.80 100 5.82 9 0.22 0.80 100 6.33 8 0.80 100 5.82 9 0.23 0.80 100 4.72 12 0.80 100 4.72 12 0.24 0.80 100 3.99 15 0.80 100 3.99 15 0.25 0.80 100 3.48 18 0.80 100 3.48 18 0.26 0.80 100 3.21 20 0.80 100 3.21 20 0.27 0.80 100 2.88 23 0.80 100 2.88 23 0.28 0.80 100 2.69 25 0.80 100 2.69 25 0.29 0.80 100 2.54 27 0.80 100 2.54 27 0.30 0.80 100 2.40 29 0.80 100 2.40 29 0.31 0.80 100 2.27 31 0.80 100 2.27 31 0.32 0.80 100 2.16 33 0.80 100 2.16 33
表 A.5: シミュレーションDVH（Type 1）における最適照射線量と照射回数一覧
（IBED）(δ= 0.34〜0.66)
LQ LQ-R USC USC-R
δ d N d N d N d N
0.34 0.80 100 1.97 37 0.80 100 1.97 37 0.35 0.80 100 1.93 38 0.80 100 1.93 38 0.36 0.80 100 1.86 40 0.80 100 1.86 40 0.37 0.80 100 1.78 42 0.80 100 1.78 42 0.38 0.80 100 1.75 43 0.80 100 1.75 43 0.39 0.80 100 1.69 45 0.80 100 1.69 45 0.40 0.80 100 1.66 46 0.80 100 1.66 46 0.41 0.80 100 1.60 48 0.80 100 1.60 48 0.42 0.80 100 1.58 49 0.80 100 1.58 49 0.43 0.80 100 1.55 50 0.80 100 1.55 50 0.44 0.80 100 1.50 52 0.80 100 1.50 52 0.45 0.80 100 1.48 53 0.80 100 1.48 53 0.46 0.80 100 1.46 54 0.80 100 1.46 54 0.47 0.80 100 1.44 55 0.80 100 1.44 55 0.48 0.80 100 1.40 57 0.80 100 1.40 57 0.49 0.80 100 1.38 58 0.80 100 1.38 58 0.50 0.80 100 1.36 59 0.80 100 1.36 59 0.51 0.80 100 1.34 60 0.80 100 1.34 60 0.52 0.80 100 1.32 61 0.80 100 1.32 61 0.53 0.80 100 1.31 62 0.80 100 1.31 62 0.54 0.80 100 1.27 64 0.80 100 1.27 64 0.55 0.80 100 1.26 65 0.80 100 1.26 65 0.56 0.80 100 1.24 66 0.80 100 1.24 66 0.57 0.80 100 1.23 67 0.80 100 1.23 67 0.58 0.80 100 1.21 68 0.80 100 1.21 68 0.59 0.80 100 1.20 69 0.80 100 1.20 69 0.60 0.80 100 1.19 70 0.80 100 1.19 70 0.61 0.80 100 1.17 71 0.80 100 1.17 71 0.62 0.80 100 1.16 72 0.80 100 1.16 72 0.63 0.80 100 1.15 73 0.80 100 1.15 73 0.64 0.80 100 1.14 74 0.80 100 1.14 74 0.65 0.80 100 1.12 75 0.80 100 1.12 75
表 A.6: シミュレーションDVH（Type 1）における最適照射線量と照射回数一覧
（IBED）(δ= 0.67〜1.00)
LQ LQ-R USC USC-R
δ d N d N d N d N
0.67 0.80 100 1.10 77 0.80 100 1.10 77 0.68 0.80 100 1.10 77 0.80 100 1.10 77 0.69 0.80 100 1.09 78 0.80 100 1.09 78 0.70 0.80 100 1.08 79 0.80 100 1.08 79 0.71 0.80 100 1.07 80 0.80 100 1.07 80 0.72 0.80 100 1.06 81 0.80 100 1.06 81 0.73 0.80 100 1.05 82 0.80 100 1.05 82 0.74 0.80 100 1.04 83 0.80 100 1.04 83 0.75 0.80 100 1.03 84 0.80 100 1.03 84 0.76 0.80 100 1.03 84 0.80 100 1.03 84 0.77 0.80 100 1.02 85 0.80 100 1.02 85 0.78 0.80 100 1.01 86 0.80 100 1.01 86 0.79 0.80 100 1.00 87 0.80 100 1.00 87 0.80 0.80 100 0.99 88 0.80 100 0.99 88 0.81 0.80 100 0.98 89 0.80 100 0.98 89 0.82 0.80 100 0.98 89 0.80 100 0.98 89 0.83 0.80 100 0.97 90 0.80 100 0.97 90 0.84 0.80 100 0.97 91 0.80 100 0.97 91 0.85 0.80 100 0.96 92 0.80 100 0.96 92 0.86 0.80 100 0.96 92 0.80 100 0.96 92 0.87 0.80 100 0.95 93 0.80 100 0.95 93 0.88 0.80 100 0.94 94 0.80 100 0.94 94 0.89 0.80 100 0.93 95 0.80 100 0.93 95 0.90 0.80 100 0.93 95 0.80 100 0.93 95 0.91 0.80 100 0.93 96 0.80 100 0.93 96 0.92 0.80 100 0.92 97 0.80 100 0.92 97 0.93 0.80 100 0.91 98 0.80 100 0.91 98 0.94 0.80 100 0.91 98 0.80 100 0.91 98 0.95 0.80 100 0.91 99 0.80 100 0.91 99 0.96 0.80 100 0.90 100 0.80 100 0.90 100 0.97 0.80 100 0.90 100 0.80 100 0.90 100 0.98 0.80 100 0.90 100 0.80 100 0.90 100
表 A.7: シミュレーションDVH（Type 2）における最適照射線量と照射回数一覧
（ASF）(δmin = 0.01〜0.33)
LQ LQ-R USC USC-R
δmin d N d N d N d N
0.01 24.80 1 23.99 1 21.26 2 20.21 2 0.02 24.80 1 23.99 1 14.72 3 14.04 3 0.03 24.80 1 23.99 1 11.45 4 14.04 3 0.04 24.80 1 23.99 1 11.45 4 10.96 4 0.05 24.80 1 23.99 1 9.48 5 10.96 4 0.06 24.80 1 23.99 1 9.48 5 9.11 5 0.07 24.80 1 23.99 1 8.18 6 9.11 5 0.08 24.80 1 23.99 1 8.18 6 9.11 5 0.09 24.80 1 23.99 1 8.18 6 7.88 6 0.10 24.80 1 23.99 1 7.24 7 7.88 6 0.11 24.80 1 23.99 1 7.24 7 7.88 6 0.12 24.80 1 23.99 1 7.24 7 7.00 7 0.13 24.80 1 23.99 1 7.24 7 7.00 7 0.14 24.80 1 23.99 1 6.54 8 7.00 7 0.15 24.80 1 23.99 1 6.54 8 7.00 7 0.16 24.80 1 23.99 1 6.54 8 6.34 8 0.17 24.80 1 23.99 1 6.54 8 6.34 8 0.18 24.80 1 23.99 1 6.00 9 6.34 8 0.19 24.80 1 23.99 1 6.00 9 6.34 8 0.20 1.45 52 23.99 1 1.45 52 6.34 8 0.21 0.80 100 10.17 4 0.80 100 5.82 9 0.22 0.80 100 6.33 8 0.80 100 5.82 9 0.23 0.80 100 4.72 12 0.80 100 4.72 12 0.24 0.80 100 3.99 15 0.80 100 3.99 15 0.25 0.80 100 3.48 18 0.80 100 3.48 18 0.26 0.80 100 3.21 20 0.80 100 3.21 20 0.27 0.80 100 2.88 23 0.80 100 2.88 23 0.28 0.80 100 2.69 25 0.80 100 2.69 25 0.29 0.80 100 2.54 27 0.80 100 2.54 27 0.30 0.80 100 2.40 29 0.80 100 2.40 29 0.31 0.80 100 2.27 31 0.80 100 2.27 31 0.32 0.80 100 2.16 33 0.80 100 2.16 33
表 A.8: シミュレーションDVH（Type 2）における最適照射線量と照射回数一覧
（ASF）(δmin = 0.34〜0.66)
LQ LQ-R USC USC-R
δmin d N d N d N d N
0.34 0.80 100 1.97 37 0.80 100 1.97 37 0.35 0.80 100 1.93 38 0.80 100 1.93 38 0.36 0.80 100 1.86 40 0.80 100 1.86 40 0.37 0.80 100 1.78 42 0.80 100 1.78 42 0.38 0.80 100 1.75 43 0.80 100 1.75 43 0.39 0.80 100 1.69 45 0.80 100 1.69 45 0.40 0.80 100 1.66 46 0.80 100 1.66 46 0.41 0.80 100 1.60 48 0.80 100 1.60 48 0.42 0.80 100 1.58 49 0.80 100 1.58 49 0.43 0.80 100 1.55 50 0.80 100 1.55 50 0.44 0.80 100 1.50 52 0.80 100 1.50 52 0.45 0.80 100 1.48 53 0.80 100 1.48 53 0.46 0.80 100 1.46 54 0.80 100 1.46 54 0.47 0.80 100 1.44 55 0.80 100 1.44 55 0.48 0.80 100 1.40 57 0.80 100 1.40 57 0.49 0.80 100 1.38 58 0.80 100 1.38 58 0.50 0.80 100 1.36 59 0.80 100 1.36 59 0.51 0.80 100 1.34 60 0.80 100 1.34 60 0.52 0.80 100 1.32 61 0.80 100 1.32 61 0.53 0.80 100 1.31 62 0.80 100 1.31 62 0.54 0.80 100 1.27 64 0.80 100 1.27 64 0.55 0.80 100 1.26 65 0.80 100 1.26 65 0.56 0.80 100 1.24 66 0.80 100 1.24 66 0.57 0.80 100 1.23 67 0.80 100 1.23 67 0.58 0.80 100 1.21 68 0.80 100 1.21 68 0.59 0.80 100 1.20 69 0.80 100 1.20 69 0.60 0.80 100 1.19 70 0.80 100 1.19 70 0.61 0.80 100 1.17 71 0.80 100 1.17 71 0.62 0.80 100 1.16 72 0.80 100 1.16 72 0.63 0.80 100 1.15 73 0.80 100 1.15 73 0.64 0.80 100 1.14 74 0.80 100 1.14 74 0.65 0.80 100 1.12 75 0.80 100 1.12 75
表 A.9: シミュレーションDVH（Type 2）における最適照射線量と照射回数一覧
（ASF）(δmin = 0.67〜1.00)
LQ LQ-R USC USC-R
δmin d N d N d N d N
0.67 0.80 100 1.10 77 0.80 100 1.10 77 0.68 0.80 100 1.10 77 0.80 100 1.10 77 0.69 0.80 100 1.09 78 0.80 100 1.09 78 0.70 0.80 100 1.08 79 0.80 100 1.08 79 0.71 0.80 100 1.07 80 0.80 100 1.07 80 0.72 0.80 100 1.06 81 0.80 100 1.06 81 0.73 0.80 100 1.05 82 0.80 100 1.05 82 0.74 0.80 100 1.04 83 0.80 100 1.04 83 0.75 0.80 100 1.03 84 0.80 100 1.03 84 0.76 0.80 100 1.03 84 0.80 100 1.03 84 0.77 0.80 100 1.02 85 0.80 100 1.02 85 0.78 0.80 100 1.01 86 0.80 100 1.01 86 0.79 0.80 100 1.00 87 0.80 100 1.00 87 0.80 0.80 100 0.99 88 0.80 100 0.99 88 0.81 0.80 100 0.98 89 0.80 100 0.98 89 0.82 0.80 100 0.98 89 0.80 100 0.98 89 0.83 0.80 100 0.97 90 0.80 100 0.97 90 0.84 0.80 100 0.97 91 0.80 100 0.97 91 0.85 0.80 100 0.96 92 0.80 100 0.96 92 0.86 0.80 100 0.96 92 0.80 100 0.96 92 0.87 0.80 100 0.95 93 0.80 100 0.95 93 0.88 0.80 100 0.94 94 0.80 100 0.94 94 0.89 0.80 100 0.93 95 0.80 100 0.93 95 0.90 0.80 100 0.93 95 0.80 100 0.93 95 0.91 0.80 100 0.93 96 0.80 100 0.93 96 0.92 0.80 100 0.92 97 0.80 100 0.92 97 0.93 0.80 100 0.91 98 0.80 100 0.91 98 0.94 0.80 100 0.91 98 0.80 100 0.91 98 0.95 0.80 100 0.91 99 0.80 100 0.91 99 0.96 0.80 100 0.90 100 0.80 100 0.90 100 0.97 0.80 100 0.90 100 0.80 100 0.90 100 0.98 0.80 100 0.90 100 0.80 100 0.90 100
表 A.10: シミュレーションDVH（Type 2）における最適照射線量と照射回数一覧
（IBED）(δmin = 0.01〜0.33)
LQ LQ-R USC USC-R
δmin d N d N d N d N
0.01 0.80 100 1.11 76 0.80 100 1.11 76 0.02 0.80 100 1.11 76 0.80 100 1.11 76 0.03 0.80 100 1.11 76 0.80 100 1.11 76 0.04 0.80 100 1.11 76 0.80 100 1.11 76 0.05 0.80 100 1.11 76 0.80 100 1.11 76 0.06 0.80 100 1.11 76 0.80 100 1.11 76 0.07 0.80 100 1.11 76 0.80 100 1.11 76 0.08 0.80 100 1.11 76 0.80 100 1.11 76 0.09 0.80 100 1.11 76 0.80 100 1.11 76 0.10 0.80 100 1.11 76 0.80 100 1.11 76 0.11 0.80 100 1.10 77 0.80 100 1.10 77 0.12 0.80 100 1.10 77 0.80 100 1.10 77 0.13 0.80 100 1.10 77 0.80 100 1.10 77 0.14 0.80 100 1.10 77 0.80 100 1.10 77 0.15 0.80 100 1.10 77 0.80 100 1.10 77 0.16 0.80 100 1.10 77 0.80 100 1.10 77 0.17 0.80 100 1.10 77 0.80 100 1.10 77 0.18 0.80 100 1.09 78 0.80 100 1.09 78 0.19 0.80 100 1.09 78 0.80 100 1.09 78 0.20 0.80 100 1.09 78 0.80 100 1.09 78 0.21 0.80 100 1.09 78 0.80 100 1.09 78 0.22 0.80 100 1.09 78 0.80 100 1.09 78 0.23 0.80 100 1.09 78 0.80 100 1.09 78 0.24 0.80 100 1.08 79 0.80 100 1.08 79 0.25 0.80 100 1.08 79 0.80 100 1.08 79 0.26 0.80 100 1.08 79 0.80 100 1.08 79 0.27 0.80 100 1.08 79 0.80 100 1.08 79 0.28 0.80 100 1.07 80 0.80 100 1.07 80 0.29 0.80 100 1.07 80 0.80 100 1.07 80 0.30 0.80 100 1.07 80 0.80 100 1.07 80 0.31 0.80 100 1.07 80 0.80 100 1.07 80 0.32 0.80 100 1.06 81 0.80 100 1.06 81
表 A.11: シミュレーションDVH（Type 2）における最適照射線量と照射回数一覧
（IBED）(δmin = 0.34〜0.66)
LQ LQ-R USC USC-R
δmin d N d N d N d N
0.34 0.80 100 1.06 81 0.80 100 1.06 81 0.35 0.80 100 1.06 81 0.80 100 1.06 81 0.36 0.80 100 1.05 82 0.80 100 1.05 82 0.37 0.80 100 1.05 82 0.80 100 1.05 82 0.38 0.80 100 1.05 82 0.80 100 1.05 82 0.39 0.80 100 1.05 82 0.80 100 1.05 82 0.40 0.80 100 1.04 83 0.80 100 1.04 83 0.41 0.80 100 1.04 83 0.80 100 1.04 83 0.42 0.80 100 1.04 83 0.80 100 1.04 83 0.43 0.80 100 1.04 83 0.80 100 1.04 83 0.44 0.80 100 1.03 84 0.80 100 1.03 84 0.45 0.80 100 1.03 84 0.80 100 1.03 84 0.46 0.80 100 1.03 84 0.80 100 1.03 84 0.47 0.80 100 1.02 85 0.80 100 1.02 85 0.48 0.80 100 1.02 85 0.80 100 1.02 85 0.49 0.80 100 1.02 85 0.80 100 1.02 85 0.50 0.80 100 1.01 86 0.80 100 1.01 86 0.51 0.80 100 1.01 86 0.80 100 1.01 86 0.52 0.80 100 1.01 86 0.80 100 1.01 86 0.53 0.80 100 1.01 86 0.80 100 1.01 86 0.54 0.80 100 1.00 87 0.80 100 1.00 87 0.55 0.80 100 1.00 87 0.80 100 1.00 87 0.56 0.80 100 1.00 87 0.80 100 1.00 87 0.57 0.80 100 0.99 88 0.80 100 0.99 88 0.58 0.80 100 0.99 88 0.80 100 0.99 88 0.59 0.80 100 0.99 88 0.80 100 0.99 88 0.60 0.80 100 0.98 89 0.80 100 0.98 89 0.61 0.80 100 0.98 89 0.80 100 0.98 89 0.62 0.80 100 0.98 89 0.80 100 0.98 89 0.63 0.80 100 0.97 90 0.80 100 0.97 90 0.64 0.80 100 0.97 90 0.80 100 0.97 90 0.65 0.80 100 0.97 90 0.80 100 0.97 90
表 A.12: シミュレーションDVH（Type 2）における最適照射線量と照射回数一覧
（IBED）(δmin = 0.67〜1.00)
LQ LQ-R USC USC-R
δmin d N d N d N d N
0.67 0.80 100 0.97 91 0.80 100 0.97 91 0.68 0.80 100 0.97 91 0.80 100 0.97 91 0.69 0.80 100 0.96 92 0.80 100 0.96 92 0.70 0.80 100 0.96 92 0.80 100 0.96 92 0.71 0.80 100 0.96 92 0.80 100 0.96 92 0.72 0.80 100 0.95 93 0.80 100 0.95 93 0.73 0.80 100 0.95 93 0.80 100 0.95 93 0.74 0.80 100 0.95 93 0.80 100 0.95 93 0.75 0.80 100 0.94 94 0.80 100 0.94 94 0.76 0.80 100 0.94 94 0.80 100 0.94 94 0.77 0.80 100 0.94 94 0.80 100 0.94 94 0.78 0.80 100 0.93 95 0.80 100 0.93 95 0.79 0.80 100 0.93 95 0.80 100 0.93 95 0.80 0.80 100 0.93 95 0.80 100 0.93 95 0.81 0.80 100 0.93 96 0.80 100 0.93 96 0.82 0.80 100 0.93 96 0.80 100 0.93 96 0.83 0.80 100 0.93 96 0.80 100 0.93 96 0.84 0.80 100 0.92 97 0.80 100 0.92 97 0.85 0.80 100 0.92 97 0.80 100 0.92 97 0.86 0.80 100 0.92 97 0.80 100 0.92 97 0.87 0.80 100 0.91 98 0.80 100 0.91 98 0.88 0.80 100 0.91 98 0.80 100 0.91 98 0.89 0.80 100 0.91 98 0.80 100 0.91 98 0.90 0.80 100 0.91 99 0.80 100 0.91 99 0.91 0.80 100 0.91 99 0.80 100 0.91 99 0.92 0.80 100 0.91 99 0.80 100 0.91 99 0.93 0.80 100 0.90 100 0.80 100 0.90 100 0.94 0.80 100 0.90 100 0.80 100 0.90 100 0.95 0.80 100 0.90 100 0.80 100 0.90 100 0.96 0.80 100 0.90 100 0.80 100 0.90 100 0.97 0.80 100 0.90 100 0.80 100 0.90 100 0.98 0.80 100 0.90 100 0.80 100 0.90 100
表 A.13: シミュレーションDVH（Type 3）における最適照射線量と照射回数一覧
（ASF）(w= 0.01〜0.33)
LQ LQ-R USC USC-R
w d N d N d N d N
0.01 24.80 1 23.99 1 14.72 3 14.04 3 0.02 24.80 1 23.99 1 8.18 6 7.88 6 0.03 24.80 1 23.99 1 8.18 6 7.88 6 0.04 24.80 1 23.99 1 8.18 6 7.88 6 0.05 24.80 1 23.99 1 8.18 6 7.88 6 0.06 24.80 1 23.99 1 8.18 6 7.88 6 0.07 24.80 1 23.99 1 8.18 6 7.88 6 0.08 24.80 1 23.99 1 8.18 6 7.88 6 0.09 24.80 1 23.99 1 8.18 6 7.88 6 0.10 24.80 1 23.99 1 8.18 6 7.88 6 0.11 24.80 1 23.99 1 8.18 6 7.88 6 0.12 24.80 1 23.99 1 8.18 6 7.88 6 0.13 24.80 1 23.99 1 8.18 6 7.88 6 0.14 24.80 1 23.99 1 8.18 6 7.88 6 0.15 24.80 1 23.99 1 8.18 6 7.88 6 0.16 24.80 1 23.99 1 8.18 6 7.88 6 0.17 24.80 1 23.99 1 8.18 6 7.88 6 0.18 24.80 1 23.99 1 8.18 6 7.88 6 0.19 24.80 1 23.99 1 8.18 6 7.88 6 0.20 24.80 1 23.99 1 8.18 6 7.88 6 0.21 24.80 1 23.99 1 8.18 6 7.88 6 0.22 24.80 1 23.99 1 8.18 6 7.88 6 0.23 24.80 1 23.99 1 8.18 6 7.88 6 0.24 24.80 1 23.99 1 8.18 6 7.88 6 0.25 24.80 1 23.99 1 8.18 6 7.88 6 0.26 24.80 1 23.99 1 8.18 6 7.88 6 0.27 24.80 1 23.99 1 8.18 6 7.88 6 0.28 24.80 1 23.99 1 8.18 6 7.88 6 0.29 24.80 1 23.99 1 8.18 6 7.88 6 0.30 24.80 1 23.99 1 8.18 6 7.88 6 0.31 24.80 1 23.99 1 8.18 6 7.88 6 0.32 24.80 1 23.99 1 8.18 6 7.88 6
表 A.14: シミュレーションDVH（Type 3）における最適照射線量と照射回数一覧
（ASF）(w= 0.34〜0.66)
LQ LQ-R USC USC-R
w d N d N d N d N
0.34 24.80 1 23.99 1 8.18 6 7.88 6 0.35 24.80 1 23.99 1 8.18 6 7.88 6 0.36 24.80 1 23.99 1 8.18 6 7.88 6 0.37 24.80 1 23.99 1 8.18 6 7.88 6 0.38 24.80 1 23.99 1 8.18 6 7.88 6 0.39 24.80 1 23.99 1 8.18 6 7.88 6 0.40 24.80 1 23.99 1 8.18 6 7.88 6 0.41 24.80 1 23.99 1 8.18 6 7.88 6 0.42 24.80 1 23.99 1 8.18 6 7.88 6 0.43 24.80 1 23.99 1 8.18 6 7.88 6 0.44 24.80 1 23.99 1 8.18 6 7.88 6 0.45 24.80 1 23.99 1 8.18 6 7.88 6 0.46 24.80 1 23.99 1 8.18 6 7.88 6 0.47 24.80 1 23.99 1 8.18 6 7.88 6 0.48 24.80 1 23.99 1 8.18 6 7.88 6 0.49 24.80 1 23.99 1 8.18 6 7.88 6 0.50 24.80 1 23.99 1 8.18 6 7.88 6 0.51 24.80 1 23.99 1 8.18 6 7.88 6 0.52 24.80 1 23.99 1 8.18 6 7.88 6 0.53 24.80 1 23.99 1 8.18 6 7.88 6 0.54 24.80 1 23.99 1 8.18 6 7.88 6 0.55 24.80 1 23.99 1 8.18 6 7.88 6 0.56 24.80 1 23.99 1 8.18 6 7.88 6 0.57 24.80 1 23.99 1 8.18 6 7.88 6 0.58 24.80 1 23.99 1 8.18 6 7.88 6 0.59 24.80 1 23.99 1 8.18 6 7.88 6 0.60 24.80 1 23.99 1 8.18 6 7.88 6 0.61 24.80 1 23.99 1 8.18 6 7.88 6 0.62 24.80 1 23.99 1 8.18 6 7.88 6 0.63 24.80 1 23.99 1 8.18 6 7.88 6 0.64 24.80 1 23.99 1 8.18 6 7.88 6 0.65 24.80 1 23.99 1 8.18 6 7.88 6
表 A.15: シミュレーションDVH（Type 3）における最適照射線量と照射回数一覧
（ASF）(w= 0.67〜1.00)
LQ LQ-R USC USC-R
w d N d N d N d N
0.67 24.80 1 23.99 1 8.18 6 7.88 6 0.68 24.80 1 23.99 1 8.18 6 7.88 6 0.69 24.80 1 23.99 1 0.80 100 7.88 6 0.70 24.80 1 23.99 1 0.80 100 7.88 6 0.71 24.80 1 23.99 1 0.80 100 7.88 6 0.72 24.80 1 23.99 1 0.80 100 7.88 6 0.73 24.80 1 23.99 1 0.80 100 7.88 6 0.74 24.80 1 23.99 1 0.80 100 7.88 6 0.75 24.80 1 23.99 1 0.80 100 7.88 6 0.76 24.80 1 23.99 1 0.80 100 7.88 6 0.77 24.80 1 23.99 1 0.80 100 7.88 6 0.78 24.80 1 23.99 1 0.80 100 7.88 6 0.79 24.80 1 23.99 1 0.80 100 7.88 6 0.80 24.80 1 23.99 1 0.80 100 7.88 6 0.81 24.80 1 23.99 1 0.80 100 7.88 6 0.82 0.80 100 23.99 1 0.80 100 7.88 6 0.83 0.80 100 23.99 1 0.80 100 7.88 6 0.84 0.80 100 23.99 1 0.80 100 7.88 6 0.85 0.80 100 23.99 1 0.80 100 7.88 6 0.86 0.80 100 23.99 1 0.80 100 7.00 7 0.87 0.80 100 23.99 1 0.80 100 1.50 52 0.88 0.80 100 23.99 1 0.80 100 1.44 55 0.89 0.80 100 23.99 1 0.80 100 1.38 58 0.90 0.80 100 23.99 1 0.80 100 1.32 61 0.91 0.80 100 23.99 1 0.80 100 1.29 63 0.92 0.80 100 1.24 66 0.80 100 1.24 66 0.93 0.80 100 1.20 69 0.80 100 1.20 69 0.94 0.80 100 1.16 72 0.80 100 1.16 72 0.95 0.80 100 1.12 75 0.80 100 1.12 75 0.96 0.80 100 1.09 78 0.80 100 1.09 78 0.97 0.80 100 1.06 81 0.80 100 1.06 81 0.98 0.80 100 1.03 84 0.80 100 1.03 84
表 A.16: シミュレーションDVH（Type 3）における最適照射線量と照射回数一覧
（IBED）(w= 0.01〜0.33)
LQ LQ-R USC USC-R
w d N d N d N d N
0.01 24.80 1 23.99 1 8.18 6 7.88 6 0.02 24.80 1 23.99 1 6.54 8 6.34 8 0.03 0.80 100 5.39 10 0.80 100 5.39 10 0.04 0.80 100 2.78 24 0.80 100 2.78 24 0.05 0.80 100 2.11 34 0.80 100 2.11 34 0.06 0.80 100 1.82 41 0.80 100 1.82 41 0.07 0.80 100 1.66 46 0.80 100 1.66 46 0.08 0.80 100 1.55 50 0.80 100 1.55 50 0.09 0.80 100 1.46 54 0.80 100 1.46 54 0.10 0.80 100 1.40 57 0.80 100 1.40 57 0.11 0.80 100 1.34 60 0.80 100 1.34 60 0.12 0.80 100 1.31 62 0.80 100 1.31 62 0.13 0.80 100 1.26 65 0.80 100 1.26 65 0.14 0.80 100 1.24 66 0.80 100 1.24 66 0.15 0.80 100 1.21 68 0.80 100 1.21 68 0.16 0.80 100 1.19 70 0.80 100 1.19 70 0.17 0.80 100 1.17 71 0.80 100 1.17 71 0.18 0.80 100 1.16 72 0.80 100 1.16 72 0.19 0.80 100 1.14 74 0.80 100 1.14 74 0.20 0.80 100 1.12 75 0.80 100 1.12 75 0.21 0.80 100 1.11 76 0.80 100 1.11 76 0.22 0.80 100 1.10 77 0.80 100 1.10 77 0.23 0.80 100 1.10 77 0.80 100 1.10 77 0.24 0.80 100 1.09 78 0.80 100 1.09 78 0.25 0.80 100 1.08 79 0.80 100 1.08 79 0.26 0.80 100 1.07 80 0.80 100 1.07 80 0.27 0.80 100 1.07 80 0.80 100 1.07 80 0.28 0.80 100 1.06 81 0.80 100 1.06 81 0.29 0.80 100 1.06 81 0.80 100 1.06 81 0.30 0.80 100 1.05 82 0.80 100 1.05 82 0.31 0.80 100 1.04 83 0.80 100 1.04 83 0.32 0.80 100 1.04 83 0.80 100 1.04 83
表 A.17: シミュレーションDVH（Type 3）における最適照射線量と照射回数一覧
（IBED）(w= 0.34〜0.66)
LQ LQ-R USC USC-R
w d N d N d N d N
0.34 0.80 100 1.03 84 0.80 100 1.03 84 0.35 0.80 100 1.03 84 0.80 100 1.03 84 0.36 0.80 100 1.02 85 0.80 100 1.02 85 0.37 0.80 100 1.02 85 0.80 100 1.02 85 0.38 0.80 100 1.01 86 0.80 100 1.01 86 0.39 0.80 100 1.01 86 0.80 100 1.01 86 0.40 0.80 100 1.01 86 0.80 100 1.01 86 0.41 0.80 100 1.00 87 0.80 100 1.00 87 0.42 0.80 100 1.00 87 0.80 100 1.00 87 0.43 0.80 100 1.00 87 0.80 100 1.00 87 0.44 0.80 100 1.00 87 0.80 100 1.00 87 0.45 0.80 100 0.99 88 0.80 100 0.99 88 0.46 0.80 100 0.99 88 0.80 100 0.99 88 0.47 0.80 100 0.99 88 0.80 100 0.99 88 0.48 0.80 100 0.99 88 0.80 100 0.99 88 0.49 0.80 100 0.98 89 0.80 100 0.98 89 0.50 0.80 100 0.98 89 0.80 100 0.98 89 0.51 0.80 100 0.98 89 0.80 100 0.98 89 0.52 0.80 100 0.98 89 0.80 100 0.98 89 0.53 0.80 100 0.98 89 0.80 100 0.98 89 0.54 0.80 100 0.97 90 0.80 100 0.97 90 0.55 0.80 100 0.97 90 0.80 100 0.97 90 0.56 0.80 100 0.97 90 0.80 100 0.97 90 0.57 0.80 100 0.97 90 0.80 100 0.97 90 0.58 0.80 100 0.97 90 0.80 100 0.97 90 0.59 0.80 100 0.97 91 0.80 100 0.97 91 0.60 0.80 100 0.97 91 0.80 100 0.97 91 0.61 0.80 100 0.97 91 0.80 100 0.97 91 0.62 0.80 100 0.97 91 0.80 100 0.97 91 0.63 0.80 100 0.97 91 0.80 100 0.97 91 0.64 0.80 100 0.97 91 0.80 100 0.97 91 0.65 0.80 100 0.97 91 0.80 100 0.97 91
表 A.18: シミュレーションDVH（Type 3）における最適照射線量と照射回数一覧
（IBED）(w= 0.67〜1.00)
LQ LQ-R USC USC-R
w d N d N d N d N
0.67 0.80 100 0.96 92 0.80 100 0.96 92 0.68 0.80 100 0.96 92 0.80 100 0.96 92 0.69 0.80 100 0.96 92 0.80 100 0.96 92 0.70 0.80 100 0.96 92 0.80 100 0.96 92 0.71 0.80 100 0.96 92 0.80 100 0.96 92 0.72 0.80 100 0.96 92 0.80 100 0.96 92 0.73 0.80 100 0.96 92 0.80 100 0.96 92 0.74 0.80 100 0.95 93 0.80 100 0.95 93 0.75 0.80 100 0.95 93 0.80 100 0.95 93 0.76 0.80 100 0.95 93 0.80 100 0.95 93 0.77 0.80 100 0.95 93 0.80 100 0.95 93 0.78 0.80 100 0.95 93 0.80 100 0.95 93 0.79 0.80 100 0.95 93 0.80 100 0.95 93 0.80 0.80 100 0.95 93 0.80 100 0.95 93 0.81 0.80 100 0.95 93 0.80 100 0.95 93 0.82 0.80 100 0.95 93 0.80 100 0.95 93 0.83 0.80 100 0.95 93 0.80 100 0.95 93 0.84 0.80 100 0.94 94 0.80 100 0.94 94 0.85 0.80 100 0.94 94 0.80 100 0.94 94 0.86 0.80 100 0.94 94 0.80 100 0.94 94 0.87 0.80 100 0.94 94 0.80 100 0.94 94 0.88 0.80 100 0.94 94 0.80 100 0.94 94 0.89 0.80 100 0.94 94 0.80 100 0.94 94 0.90 0.80 100 0.94 94 0.80 100 0.94 94 0.91 0.80 100 0.94 94 0.80 100 0.94 94 0.92 0.80 100 0.94 94 0.80 100 0.94 94 0.93 0.80 100 0.94 94 0.80 100 0.94 94 0.94 0.80 100 0.94 94 0.80 100 0.94 94 0.95 0.80 100 0.94 94 0.80 100 0.94 94 0.96 0.80 100 0.94 94 0.80 100 0.94 94 0.97 0.80 100 0.94 94 0.80 100 0.94 94 0.98 0.80 100 0.93 95 0.80 100 0.93 95
謝辞
本論文の作成，また，方向性に関しての指導ならびに議論してくださった北海道 大学大学院情報科学研究科情報理工学専攻 水田正弘教授ならびに南弘征教授に心よ り感謝申し上げます．
北海道大学大学院情報科学研究科の教員の皆様に深く感謝申し上げます．最後に 支えてくださった家族に感謝を表します．
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