A Fitted Formula for Calculating Electron Beams Mean Energy in the Homogeneous Water Phantom_Journal of Biomedical Engineering

Authors：

ZHANGShuzhi ¹ , LIULele ¹ , XUYun ¹ , WUZhangwen ¹ , HOUQing ¹ , XUAnjian ² ,  GOUChengjun ¹

1. Key Laboratory for Radiation Physics and Technology (Sichuan University), Ministry of Education, Institute of Nuclear Science and Technology, Sichuan University, Chengdu 610064, China;
2. Nuclear Power Institute of China, Chengdu 610005, China;

Corresponding author：

GOUChengjun, Email: chengj.gou@263.net

Keywords：

electron pencil beam; hybrid pencil beam model; mean energy; fitted formula

DOI：

10.7507/1001-5515.20140096

Video：

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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 energy 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 calculated with the fitted formula increased about 1%.

Citation： ZHANGShuzhi, LIULele, XUYun, WUZhangwen, HOUQing, XUAnjian, GOUChengjun. A Fitted Formula for Calculating Electron Beams Mean Energy in the Homogeneous Water Phantom. Journal of Biomedical Engineering, 2014, 31(3): 516-519,542. doi: 10.7507/1001-5515.20140096 Copy

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7.	SAMUELSSON A, HYÖDYNMAA S, JOHANSSON K A. Dose accuracy check of the 3D electron beam algorithm in a treatment planning system[J]. Phys Med Biol, 1998, 43(6):1529-1544.
8.	JETTE D, WALKER S. Electron dose calculation using multiple-scattering theory:energy distribution due to multiple scattering[J]. Med Phys, 1997, 24(3):383-400.
9.	LUO Z, JETTE D, WALKER S. Electron dose calculation using multiple-scattering theory:a hybrid electron pencil-beam model[J]. Med Phys, 1998, 25(10):1954-1963.
10.	BOYD R A, HOGSTROM K R, STARKSCHALL G. Electron pencil-beam redefinition algorithm dose calculation in the presence of heterogeneities[J]. Med Phys, 2001, 28(10):2096-2104.
11.	SANDISON G A, HUDA W, SAVOIE D, et al. Comparison of methods to determine electron pencil beam spread in tissue-equivalent media[J]. Med Phys, 1989, 16(6):881-888.
12.	SANDISON G A, HUDA W. Application of fermi scattering theory to a magnetically scanned electron linear accelerator[J]. Med Phys, 1988, 15(4):498-510.
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14.	LUO Z M. Improved bipartition model of electron transport. Ⅱ. Applications to inhomogeneous media[J]. Phys Rev B Condens Matter, 1985, 32(2):824-836.
15.	勾成俊,杨代伦,曾革,等.混合笔束模型在电子剂量算法中的应用[J].物理学报,2002,51(11):2649-2655.
16.	张树芝,李霞,吴章文,等.电子束在均匀水介质中平均能量计算方法的研究[J].中国医学物理学杂志,2011,28(5):2850-2853.
17.	SHIU A S,TUNG S, HOGSTROM K R, et al. Verification data for electron beam dose algorithms[J]. Med Phys, 1992, 19(3):623-636.

1. 胡逸民.肿瘤放射物理学[M].北京:原子能出版社,1999:233-243.
2. HOGSTROM K R, MILLS M D, ALMOND P R. Electron beam dose calculations[J]. Phys Med Biol, 1981, 26(3):445-459.
3. BUZDAR S A, AFZAL M, TODD-POKROPEK A. Comparison of pencil beam and collapsed cone algorithms, in radiotherapy treatment planning for 6 and 10 MV photon[J]. J Ayub Med Coll Abbottabad, 2010, 22(3):152-154.
4. SHIU A S, HOGSTROM K R. Pencil-beam redefinition al-gorithm for electron dose distributions[J]. Med Phys, 1991, 18(1):7-18.
5. VBOYD R A, HOGSTROM K R, ROSEN I I. Effect of using an initial polyenergetic spectrum with the pencil-beam redefinition algorithm for electron-dose calculations in water[J]. Med Phys, 1998, 25(11):2176-2185.
6. PERRY D J, HOLT J G. A model for calculating the effects of small inhomogeneities on electron beam dose distributions[J]. Med Phys, 1980, 7(3):207-215.
7. SAMUELSSON A, HYÖDYNMAA S, JOHANSSON K A. Dose accuracy check of the 3D electron beam algorithm in a treatment planning system[J]. Phys Med Biol, 1998, 43(6):1529-1544.
8. JETTE D, WALKER S. Electron dose calculation using multiple-scattering theory:energy distribution due to multiple scattering[J]. Med Phys, 1997, 24(3):383-400.
9. LUO Z, JETTE D, WALKER S. Electron dose calculation using multiple-scattering theory:a hybrid electron pencil-beam model[J]. Med Phys, 1998, 25(10):1954-1963.
10. BOYD R A, HOGSTROM K R, STARKSCHALL G. Electron pencil-beam redefinition algorithm dose calculation in the presence of heterogeneities[J]. Med Phys, 2001, 28(10):2096-2104.
11. SANDISON G A, HUDA W, SAVOIE D, et al. Comparison of methods to determine electron pencil beam spread in tissue-equivalent media[J]. Med Phys, 1989, 16(6):881-888.
12. SANDISON G A, HUDA W. Application of fermi scattering theory to a magnetically scanned electron linear accelerator[J]. Med Phys, 1988, 15(4):498-510.
13. LUO Z M. Improved bipartition model of electron transport. Ⅰ. A general formulation[J]. Phys Rev B Condens Matter, 1985, 32(2):812-823.
14. LUO Z M. Improved bipartition model of electron transport. Ⅱ. Applications to inhomogeneous media[J]. Phys Rev B Condens Matter, 1985, 32(2):824-836.
15. 勾成俊,杨代伦,曾革,等.混合笔束模型在电子剂量算法中的应用[J].物理学报,2002,51(11):2649-2655.
16. 张树芝,李霞,吴章文,等.电子束在均匀水介质中平均能量计算方法的研究[J].中国医学物理学杂志,2011,28(5):2850-2853.
17. SHIU A S,TUNG S, HOGSTROM K R, et al. Verification data for electron beam dose algorithms[J]. Med Phys, 1992, 19(3):623-636.

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