Empirical method for modeling the percent depth dose curves of electron beam in radiation therapy

• Autorzy: Chen Dong-Ji , Zhang Yan-Shan , Ye Yan-Cheng , Wu Jia-Ming

Identyfikatory

DOI

10.2478/pjmpe-2021-0037

• Języki publikacji: EN

Abstrakty

EN

Introduction: This study presents an empirical method to model the electron beam percent depth dose curve (PDD) using the primary and tail functions in radiation therapy. The modeling parameters N and n can be used to derive the depth relative stopping power of the electron energy in radiation therapy. Methods and Materials: The electrons PDD curves were modeled with the primary-tail function in this study. The primary function included exponential function and main parameters of N, µ while the tail function was composed by a sigmoid function with the main parameter of n. The PDD for five electron energies were modeled by the primary and tail function by adjusting the parameters of N, µ and n. The R₅₀ and R_p can be derived from the modeled straight line of 80% to 20% region of PDD. The same electron energy with different cone sizes was also modeled with the primary-tail function. The stopping power for different electron energies at different depths can also be derived from the parameters of N, µ and n. Percent ionization depth curve can then be derived from the percent depth dose by dividing its depth relevant stopping power for comparing with the original water phantom measurement. Results: The main parameters N, n increase, but µ decreases in primary-tail function when electron energy increased. The relationship of parameters n, N and LN(-µ) with electron energy are n = 31.667 E₀ - 88, N = 0.9975 E₀ - 2.8535, LN(-µ) = -0.1355 E₀ - 6.0986, respectively. Stopping power of different electron energy can be derived from n and N with the equation: stopping power = (−0.042 ln N_E0 + 1.072)e^{(−n−E0·5·10−5+0.0381·d)}, where d is the depth in water. Percent depth dose was derived from the percent reading curve by multiplying the stopping power relevant to the depth in water at certain electron energy. Conclusion: The PDD of electrons at different energies and field sizes can be modeled with an empirical model to deal with the stopping power calculation. The primary-tail equation provides a uncomplicated solution than a pencil beam or other numerical algorism for investigators to research the behavior of electron beam in radiation therapy.

Słowa kluczowe

EN

percent depth dose modelling; electron; primary-tail equation

• Wydawca: Polskie Towarzystwo Fizyki Medycznej ; De Gruyter
• Czasopismo: Polish Journal of Medical Physics and Engineering
• Rocznik: 2021
• Tom: Vol. 27, Iss. 4
• Strony: 315--321
• Opis fizyczny: Bibliogr. 10 poz., rys., tab.

Twórcy

autor

Chen Dong-Ji

• Department of Heavy Ion Center of Wuwei Cancer Hospital, 1.Gansu Wuwei Academy of Medical Sciences; Gansu Wuwei Tumor Hospital, Wuwei City, Gansu Province, 733000, China

autor

Zhang Yan-Shan

• Department of Heavy Ion Center of Wuwei Cancer Hospital, 1.Gansu Wuwei Academy of Medical Sciences; Gansu Wuwei Tumor Hospital, Wuwei City, Gansu Province, 733000, China

autor

Ye Yan-Cheng

• Department of Heavy Ion Center of Wuwei Cancer Hospital, 1.Gansu Wuwei Academy of Medical Sciences; Gansu Wuwei Tumor Hospital, Wuwei City, Gansu Province, 733000, China

autor

Wu Jia-Ming

• Department of Heavy Ion Center of Wuwei Cancer Hospital, 1.Gansu Wuwei Academy of Medical Sciences; Gansu Wuwei Tumor Hospital, Wuwei City, Gansu Province, 733000, China
• Department of Medical Physics, Chengde Medical University, Chengde City, Hebei Province, China
• Department of Radiation Oncology, Yee Zen General Hospital, Tao Yuan City, Taiwan

Bibliografia

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• 8. Dreindl R, Georg D, Stock M. Radiochromic film dosimetry: considerations on precision and accuracy for EBT2 and EBT3 type films. Med Phys. 2014;24(2):153-163. https://doi.org/10.1016/j.zemedi.2013.08.002
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• 10. García-Garduño OA, Lárraga-Gutiérrez JM, Rodríguez-Villafuerte M, et al. Effect of correction methods of radiochromic EBT2 films on the accuracy of IMRT QA. Appl Radiat Isot. 2016;107:121-126. https://doi.org/10.1016/j.apradiso.2015.09.016

Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr SONP/SP/546092/2022 w ramach programu "Społeczna odpowiedzialność nauki" - moduł: Popularyzacja nauki i promocja sportu (2024).