均匀水介质中计算电子束平均能量的拟合公式

A Fitted Formula for Calculating Electron Beams Mean Energy in the Homogeneous Water Phantom

在放射治疗中，混合笔束模型（HPBM）是一种计算电子束剂量分布的有效方法。而入射电子束的平均能量分布是影响HPBM精度的因素之一，特别是在电子束射程末端的地方。本文以蒙特卡洛（MC）程序对6—20MeV范围内电子束在水介质中平均能量分布模拟结果为基础，提出了一种新的拟合公式，并将拟合公式和已有的经验公式分别计算的平均能量代人到HPBM中，以美国高能电子束治疗计划联合工作组（ECWG）实测电子束剂量分布的数据为参考，评估了该能量范围内拟合公式的精度。结果显示，由拟合公式计算平均能量得到的剂量分布精度有大约1％的提高。

Abstract： The hybrid pencil beam model （HPBM） is an effective algorithm for calculating electron dose distribution in radiotherapy. The mean energy distribution of incident electron beam in phantom is one of the factors that affect the calculation accuracy of HPBM, especially in field edge areas near the end of the electron range. A new fitted formula based on Monte Carlo （MC） simulation data for electron beams with energy range of 6-20MeV in the homogeneous water phantom is proposed in this paper. The precision of the fitted formula within the scope of the en- ergy was evaluated by comparing the electron dose distribution of ECWG measured data with that obtained from HPBM which took the mean electron energy that calculated by the fitted formula and the existed empirical formula, respectively. The results showed that the accuracy of dose distribution that obtained by the mean electron energy cal- culated with the fitted formula increased about 1%.