1PhD, Department of Medical physics, Tehran University of Medical Science, Tehran, Iran
2PhD, School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), Tehran, Iran
3PhD, Department of Radiology and Nuclear Medicine, School of Paramedical Sciences, Kermanshah University of Medical Sciences, Kermanshah, Iran
4PhD Candidate, Department of Medical Physics, Iran University of Medical Sciences, Tehran, Iran
5MD, PhD, Brain and Spinal Cord Injury Research Center, Neuroscience Institute, Tehran University of Medical Science, Tehran, Iran
6MD, PhD, Radiation Oncology Research Center, Cancer Institute, Tehran University of Medical Science, Tehran, Iran
7PhD Candidate, Department of Medical Physics, Isfahan University of Medical Sciences, Isfahan, Iran
چکیده
Background: Dose distribution can be obtained from total energy released per unit mass (TERMA) and inhomogeneous energy deposition kernel (EDK) convolution. Since inhomogeneous EDK data is location-dependent, it is calculated by employing the density scaling method rather than Monte Carlo based user code EDKnrc. Objective: The present study aimed at investigating EDK scaling formula accuracy in the presence of lung and bone inhomogeneities. Material and Methods: In this theoretical-practical study, six EDKs datasets with lung and bone inhomogeneity in different radii were generated using EDKnrc user code and density scaling formula. Then the scaling method data and corresponding EDKnrc-generated ones were compared to enhance the calculations, and some correction factors for error reduction were also derived to create more consistency between these data. Results: The study has shown that the errors in the theoretical method for calculating inhomogeneous EDKs were significantly reduced based on the attenuation coefficient and ραrel parameter, with α equal to 1.2 and 0.8 for bone and lung voxels, respectively. Conclusion: Although the density scaling method has acceptable accuracy, the error values are significant at the location of lung or bone voxels. By using the mentioned correction factors, the calculation inaccuracy of heterogeneous EDKs can be reduced down to 5%. However, the lung heterogeneity results corrected by the method are not as good as the bone cases.
Papanikolaou N, Mackie TR, Meger-Wells C, Gehring M, Reckwerdt P. Investigation of the convolution method for polyenergetic spectra. Medical Physics. 1993;20(5):1327-36. doi: 10.1118/1.597154. PubMed PMID: 8289713.
Huang JY, Eklund D, Childress NL, Howell RM, Mirkovic D, Followill DS, et al. Investigation of various energy deposition kernel refinements for the convolution/superposition method. Medical Physics. 2013;40(12):121-7. doi: 10.1118/1.4831758. PubMed PMID: 24320507. PubMed PMCID: PMC3856653.
Hoban P, Murray D, Round W. Photon beam convolution using polyenergetic energy deposition kernels. Physics in Medicine & Biology. 1994;39(4):669-85. doi: 10.1088/0031-9155/39/4/002. PubMed PMID: 15552077.
Pyyry J. Convolution and model-based dose calculation methods in radionuclide and external-beam photon therapy [dissertation]. Helsinki: Department of Neuroscience and Biomedical Engineering; 2016. Available from: https://aaltodoc.aalto.fi/bitstream/handle/123456789/20076/isbn9789526067285.pdf?isAllowed=y&sequence=1.
Makrani DS, Hasanzadeh H, Pourfallah TA, Ghasemi A, Jadidi M, Babapour H. Determination of primary electron beam parameters in a Siemens Primus Linac using Monte Carlo simulation. Journal of Paramedical Sciences (JPS). 2015;6(1):75-9.
Tillikainen L, Helminen H, Torsti T, Siljamäki S, Alakuijala J, Pyyry J, et al. A 3D pencil-beam-based superposition algorithm for photon dose calculation in heterogeneous media. Physics in Medicine & Biology. 2008;53(14):3821-39. doi: 10.1088/0031-9155/53/14/008. PubMed PMID: 18583728.
Mackie T, Bielajew A, Rogers D, Battista J. Generation of photon energy deposition kernels using the EGS Monte Carlo code. Physics in Medicine & Biology. 1988;33(1):1-20. doi: 10.1088/0031-9155/33/1/001. PubMed PMID: 3353444.
Ahnesjö A, Saxner M. Characterization of Photon Beams for Kernel-Based Dose Calculation Methods. InTumor Response Monitoring and Treatment Planning; Berlin, Heidelberg: Springer; 1992. p. 479-86.
Mackie T, Scrimger J, Battista J. A convolution method of calculating dose for 15-MV x rays. Medical Physics. 1985;12(2):188-96. doi: 10.1118/1.595774. PubMed PMID: 4000075.
Bielajew AF, Hirayama H, Nelson WR, Rogers DWO. History, overview and recent improvement of egs4. Report NRC-PIRS-0436; Stanford, California, USA: Stanford Linear Accelerator Center (SLAC); 1994.
Rogers D, Seuntjens J, Walters B, Mainegra-Hing E. NRC user codes for EGSnrc. Technical Report PIRS-702 (RevB); Canada: NRC; 2011.
Rogers D, Kawrakow I, Seuntjens J, Walters B, Mainegra-Hing E. NRC User Codes for EGSnrc; NRCC Report PIRS-702 (revB); Canada: NRC; 2010.
American Brain Tumor Association. About brain tumors, brain tumor education. 2020. Available from: https://www.abta.org/about-brain-tumors/ brain-tumor-education/.
O’Connor J. The density scaling theorem applied to lateral electronic equilibrium. Medical Physics. 1984;11(5):678-80. doi: 10.1118/1.595551. PubMed PMID: 6503884.
Bjärngard BE. On Fano’s and O’Connor’s theorems. Radiation Research. 1987;109(2):184-9. doi: 10.2307/3576945. PubMed PMID: 3809394.
Ahnesjö A. Collapsed cone convolution of radiant energy for photon dose calculation in heterogeneous media. Medical Physics. 1989;16(4):577-92. doi: 10.1118/1.596360. PubMed PMID: 2770632.
O’connor J. The variation of scattered x-rays with density in an irradiated body. Physics in Medicine & Biology. 1957;1(4):352-69. doi: 10.1088/0031-9155/1/4/305. PubMed PMID: 13452841.
Mohan R, Chui C, Lidofsky L. Differential pencil beam dose computation model for photons. Medical Physics. 1986;13(1):64-73. doi: 10.1118/1.595924. PubMed PMID: 3951411.