Dose calculation algorithms in external beam photon radiation therapy

Lanchun Lu


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Lu L. Dose calculation algorithms in external beam photon radiation therapy. Int J Cancer Ther Oncol 2013; 1(2):01025.



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Johns HE, Whitmore G, Watson T, et al: A system of dosimetry for rotation therapy with typical rotation distributions. J Can Assn Radiol 1953; 4:1.

Karzmark CJ, Deubert A, Loevinger R. Tissue-phantom ratios — an aid to treatment planning. Br J Radiol 1965; 38:158.

Holt JG, Laughlin JS, Moroney JP. The extension of the concept of tissue-air ratios (TAR) to high-energy x-ray beams. Radiology 1970; 96:437-46.

Clarkson JR. A note on depth doses in fields of irregular shape. Br J Radiol 1941; 14:265. 24.

Cunningham JR. Scatter-air ratios. Phys Med Biol 1972; 17:42-51.

Khan FM, Levitt SH, Moore VC, Jones TK Jr. Computer and approximation methods of calculating depth dose in irregularly shaped fields. Radiology 1973; 106:433-6.

Woo MK, Scora DJ, Wong E. The regional Monte Carlo method: a dose calculation method based on accuracy requirement. Med Phys 1998; 25:1866-71.

Mackie TR, Bielajew AF, Rogers DW, Battista JJ. Generation of photon energy deposition kernels using the EGS Monte Carlo code. Phys Med Biol 1988; 33:1-20.

Ahnesjö A, Aspradakis MM. Dose calculations for external photon beams in radiotherapy. (Topical Review), Phys Med Biol 1999; 44:R99-155.

Nilsson M and Knoos T. Application of the Fano theorem in inhomogeneous media using a convolution algorithm. Phys Med Biol 1992; 37: 69-83.

Ahnesjo A. Collapsed cone convolution of radiant energy for photon dose calculation in heterogeneous media. Med Phys 1989; 16: 577-92.

Mohan R, Chui C, Lidofsky L. Differential pencil beam dose computation model for photons. Med Phys 1986; 13:64-73.

Ahnesjö A, Saxner M, Trepp A. A pencil beam model for photon dose calculation. Med Phys 1992; 19:263-73.

Bourland JD, Chaney EL. A finite-size pencil beam model for photon dose calculations in three dimensions. Med Phys 1992; 19:1401-12.

Sievinen J, Ulmer W, Kaissl W. AAA photon dose calculation model in Eclipse. Varian Medical Systems 2005; RAD #7170B.

McNutt T. The ADAC Pinnacle Collapsed Cone Convolution Superposition Dose Model. ADAC Radiation Therapy Products.

Sharpe MB, Battista JJ. Dose calculations using convolution and superposition principles: the orientation of dose spread kernels in divergent x-ray beams. Med Phys 1993; 20:1685-94.

Ulmer W, Harder D. A Triple Gaussian Pencil Beam Model for Photon Beam Treatment Planning, Z. Med Phys 1995; 5:25-30.

Mackie TR, Bielajew AF, Rogers DW, Battista JJ. Generation of photon energy deposition kernels using the EGS Monte Carlo code. Phys Med Biol 1988; 33:1-20.

MackieTR, Reckwerdt PJ, Holmes TW, Kubsad SS, Review of convolution/superposition methods for photon beam dose computation. Proceedings of the Xth ICCR 1990; 20-23.

Hasenbalg F, Neuenschwander H, Mini R, Born EJ. Collapsed cone convolution and analytical anisotropic algorithm dose calculations compared to VMC++ Monte Carlo simulations in clinical cases. Phys Med Biol 2007; 52:3679-91.

Aarup LR, Nahum AE, Zacharatou C, Juhler-Nøttrup T, Knöös T, Nyström H, Specht L, Wieslander E, Korreman SS. The effect of different lung densities on the accuracy of various radiotherapy dose calculation methods: implications for tumour coverage. Radiother Oncol 2009; 91:405-14.

Gray A, Oliver LD, Johnston PN. The accuracy of the pencil beam convolution and anisotropic analytical algorithms in predicting the dose effects due to attenuation from immobilization devices and large air gaps. Med Phys 2009; 36:3181-91.

Ma CM, Li JS, Pawlicki T, Jiang SB, Deng J, Lee MC, Koumrian T, Luxton M, Brain S. A Monte Carlo dose calculation tool for radiotherapy treatment planning. Phys Med Biol 2002; 47:1671-89.

Webb S, Parker RP. A Monte Carlo study of the interaction of external beam X-radiation with inhomogeneous media. Phys Med Biol 1978; 23:1043-59.

Kawrakow I. VMC++, Electron and Photon Monte Carlo Calculations Optimized for Radiation Treatment Planning in Advanced Monte Carlo for Radiation Physics, Particle Transport Simulation and Applications: Proc. Monte Carlo 2000 Meeting Lisbon, A. Kling, F. Barao, M. Nakagawa, L. Tavora, and P. Vaz (eds.), Berlin: Springer 2001; 229-236.

Reynaert N, Van der Marck SC, Schaart DR, et al. Monte Carlo treatment planning for photo and electron beams. Radiation Physics and Chemistry 2007; 76:643-686.

Tertel J, Wulff J, Karle H, Zink K. Verification of a commercial implementation of the Macro-Monte-Carlo electron dose calculation algorithm using the virtual accelerator approach. Z Med Phys 2010; 20:51-60.

Jeraj R, Keall P. The effect of statistical uncertainty on inverse treatment planning based on Monte Carlo dose calculation. Phys Med Biol 2000; 45:3601-13.

Hu YA, Song H, Chen Z, Zhou S, Yin FF. Evaluation of an electron Monte Carlo dose calculation algorithm for electron beam. J Appl Clin Med Phys 2008; 9:2720.

Vassiliev ON, Wareing TA, McGhee J, Failla G, Salehpour MR, Mourtada F. Validation of a new grid-based Boltzmann equation solver for dose calculation in radiotherapy with photon beams. Phys Med Biol 2010; 55:581-98.

Kroon PS, Hol S, Essers M. Dosimetric accuracy and clinical quality of Acuros XB and AAA dose calculation algorithm for ste-reotactic and conventional lung volumetric modulated arc therapy plans. Radiat Oncol 2013; 8:149.

Fogliata A, Nicolini G, Clivio A, Vanetti E, Cozzi L. Critical appraisal of Acuros XB and Anisotropic Analytic Algorithm dose calculation in advanced non-small-cell lung cancer treatments. Int J Radiat Oncol Biol Phys 2012; 83:1587-95.

Han T, Mikell JK, Salehpour M, Mourtada F. Dosimetric comparison of Acuros XB deterministic radiation transport method with Monte Carlo and model-based convolution methods in heterogeneous media. Med Phys 2011; 38:2651-2664.

Mesbahi A, Thwaites DI, Reilly AJ. Experimental and Monte Carlo evaluation of Eclipse treatment planning system for lung dose calculations. Rep Pract Onc Radiother 2006; 11:123-133.

Van Esch A, Tillikainen L, Pyykkonen J, Tenhunen M, Helminen H, Siljamäki S, et al. Testing of the analytical anisotropic algorithm for photon dose calculation. Med Phys 2006; 33:4130-48.

Nishio T, Kunieda E, Shirato H, Ishikura S, Onishi H, Tateoka K, et al. Dosimetric verification in participating institutions in a stereotactic body radiotherapy trial for stage I non-small cell lung cancer: Japan clinical oncology group trial (JCOG0403). Phys Med Biol 2006; 51:5409-17.

Knöös T, Wieslander E, Cozzi L, Brink C, Fogliata A, Albers D, Nyström H, Lassen S. Comparison of dose calculation algorithms for treatment planning in external photon beam therapy for clinical situations. Phys Med Biol 2006; 51:5785-807.

Lu LC, Yembi-Goma G, Wang JZ, et al. A practical method to evaluate and verify dose calculation algorithms in the treatment planning system of radiation therapy. Int J Med Phys Clin Eng Radiat Oncl 2013; 2:76-87.

Rana S, Rogers K. Dosimetric evaluation of Acuros XB dose calculation algorithm with measurements in predicting doses beyond different air gap thickness for smaller and larger field sizes. J Med Phys 2013; 38: 9-14.

Kathirvel M, Subramanian S, Clivio A, et al. Critical appraisal of the accuracy of Acuros-XB and Anisotropic Analytical Algorithm compared to measurement and calculations with the compass system in the delivery of RapidArc clinical plans. Radiat Oncol 2013; 8:140.

Rana S, Rogers K, Lee T, Reed D, Biggs C. Verification and Dosimetric Impact of Acuros XB Algorithm for Stereotactic Body Radiation Therapy (SBRT) and RapidArc Planning for Non-Small-Cell Lung Cancer (NSCLC) Patients. Int J Med Phys Clin Eng Radiat Oncl 2013; 2:6-14.


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