Research Article

The Study of Field Equivalence Determined by the Modeled Percentage Depth Dose in Electron Beam Radiation Therapy

Table 1

The comparison in fitting the electron energy of 12 MeV with 5 cone sizes from to is demonstrated in (a). The ranges of error between the model and the measurements for different electron energies are listed in (b).
(a) This table demonstrates the comparison in fitting the electron energy of 12 MeV with 5 cone sizes from to at

Depth (mm)6-cone modeling6-cone standardDeviation (%)10-cone modeling10-cone standardDeviation (%)15-cone modeling15-cone standardDeviation (%)20-cone modeling20-cone standardDeviation (%)25-cone modeling25-cone standardDeviation (%)

082.2983.83-1.8479.9383.34-4.0979.9382.8-3.4779.9383.24-3.9879.9383.1-3.81
589.5989.040.6288.4988.270.2588.4988.120.4288.4988.290.2388.4988.040.51
1094.2692.651.7493.6891.812.0493.6891.82.0593.6891.752.1093.6891.652.21
1597.3595.691.7397.0595.012.1597.0594.92.2797.0594.82.3797.0594.632.56
2099.398.330.9999.1797.631.5899.1797.761.4499.1797.571.6499.1797.551.66
2510099.880.1210099.560.4410099.710.2910099.640.3610099.610.39
3098.9298.93-0.0199.0499.47-0.4399.0499.11-0.0799.0499.19-0.1599.0499.19-0.15
3594.7993.351.5495.0894.820.2795.0893.861.3095.0894.370.7595.0893.781.39
4084.5281.653.5285.1383.981.3785.13823.8285.1382.563.1185.1381.764.12
4564.5963.51.7265.5566.22-1.0165.5563.912.5765.5564.222.0765.5562.984.08
5039.9341.84-4.5743.5844.39-1.8240.5841.83-2.9940.5842.06-3.5240.5840.81-0.56
5521.9722.03-0.2721.923.63-7.3221.3921.5-0.5121.921.97-0.3221.920.994.34
608.878.464.859.259.220.338.258.190.738.258.54-3.408.258.091.98
653.493.322.713.673.640.823.773.327.533.283.42-4.093.183.27-2.75
702.312.162.312.532.315.192.252.235.382.252.221.352.152.140.47
752.132.044.412.152.19-1.832.252.154.652.152.140.472.252.069.22
802.432.49-2.412.182.141.872.082.13-2.352.282.31-1.302.352.47-4.86

(b) This table demonstrates the comparison in fitting the five electron energies with cone size at

Display (mm)6 MeV modeling6 MeV standardDeviation (%)9 MeV modeling9 MeV standardDeviation (%)12 MeV modeling12 MeV standardDeviation (%)
081.4581.76-0.3876.7179.83-3.9079.9383.34-4.09
596.7096.350.3685.1185.66-0.6488.6588.330.36
1099.9599.710.2592.1890.931.3793.7491.842.07
1597.0095.771.2997.2696.161.1597.0895.012.18
2076.5772.445.7099.8999.700.1999.1797.631.58
2533.8435.63-5.0298.1097.560.55100.0099.560.44
309.208.745.3486.4485.750.8099.0799.53-0.46
352.921.30124.6358.8262.81-6.3695.0894.820.28
401.570.8486.2029.7135.45-16.2085.1383.981.37
4514.0413.414.6665.5566.22-1.01
505.893.4471.5540.4344.03-8.19
552.331.2586.7921.6323.15-6.56
601.331.0822.6111.259.2222.02
655.713.5062.96
70
75
80
85
90
Display (mm)15 MeV modeling15 MeV standardDeviation (%)18 MeV modeling18 MeV standardDeviation (%)
086.3789.98-4.0290.8487.853.41
595.0594.061.0593.3392.081.36
1097.8396.451.4395.2394.291.00
1599.2097.841.3996.7495.930.85
2099.8598.861.0197.9597.110.86
2599.9999.660.3398.8998.340.56
3099.6399.75-0.1299.5699.200.37
3598.6999.24-0.5599.9599.740.20
4096.8997.21-0.3399.9499.98-0.04
4593.6493.300.3699.3799.160.21
5087.7786.371.6297.8996.861.06
5577.3075.881.8894.7692.342.62
6060.6062.10-2.4288.5784.794.46
6540.8646.10-11.3776.9973.934.14
7025.1230.31-17.1158.7060.03-2.22
7515.5117.14-9.5338.4044.28-13.29
8010.098.7015.9324.3029.22-16.86
856.204.8428.0914.3916.66-13.62
905.083.7635.119.398.747.38
953.873.549.116.495.1027.19
1003.053.47-12.004.714.0217.23
1052.483.38-26.673.563.76-5.29
1102.073.31-37.452.783.70-24.85
1152.223.61-38.41
1201.823.53-48.47