Feasibility of a multigroup Boltzmann–Fokker–Planck solution for electron beam dose calculations

Abstract Legacy nuclear-reactor Boltzmann solvers start clinical deployment as an alternative to Monte Carlo (MC) codes and Fermi–Eyges semiemprical models in radiation oncology treatment planning. Today’s certified clinical solvers are limited to photon beams. In this paper, ELECTR, a state-of-the-...

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Main Authors: Ahmed Naceur, Alain Hébert, Paul Romano, Benoit Forget, Cornelia Chilian, Jean-François Carrier
Format: Article
Language:English
Published: Nature Portfolio 2023-01-01
Series:Scientific Reports
Online Access:https://doi.org/10.1038/s41598-023-27376-y
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author Ahmed Naceur
Alain Hébert
Paul Romano
Benoit Forget
Cornelia Chilian
Jean-François Carrier
author_facet Ahmed Naceur
Alain Hébert
Paul Romano
Benoit Forget
Cornelia Chilian
Jean-François Carrier
author_sort Ahmed Naceur
collection DOAJ
description Abstract Legacy nuclear-reactor Boltzmann solvers start clinical deployment as an alternative to Monte Carlo (MC) codes and Fermi–Eyges semiemprical models in radiation oncology treatment planning. Today’s certified clinical solvers are limited to photon beams. In this paper, ELECTR, a state-of-the-art multigroup electron cross sections generation module in NJOY is presented and validated against Lockwood’s calorimetric measurements, EGS-nrc and GEANT-4 for 1–20 MeV unidirectional electron beams. The nuclear-reactor DRAGON-5 solver is upgraded to access the library and solve the Boltzmann–Fokker–Planck (BFP) equation. A variety of heterogeneous radiotherapy and radiosurgery phantom configurations were used for validation purpose. Case studies include a thorax benchmark, that of a typical breast Intra-Operative Radiotherapy and a high-heterogeneity patient-like benchmark. For all beams, $$100\%$$ 100 % of the water voxels satisfied the American Association of Physicists in Medicine accuracy criterion for a BFP-MC dose error below $$2\%$$ 2 % . At least, $$97.0\%$$ 97.0 % of adipose, muscle, bone, lung, tumor and breast voxels satisfied the $$2\%$$ 2 % criterion. The average BFP-MC relative error was about $$0.56\%$$ 0.56 % for all voxels, beams and materials combined. By irradiating homogeneous slabs from $$Z=1$$ Z = 1 (hydrogen) to $$Z=99$$ Z = 99 (einsteinium), we reported performance and defects of the CEPXS mode [US. Sandia National Lab., SAND-89-1685] in ELECTR for the entire periodic table. For all Lockwood’s benchmarks, NJOY-DRAGON dose predictions are within the experimental data precision for $$98\%$$ 98 % of voxels.
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spelling doaj.art-122bd446e9da48ca80042880dfb79a282023-01-29T12:10:03ZengNature PortfolioScientific Reports2045-23222023-01-0113112110.1038/s41598-023-27376-yFeasibility of a multigroup Boltzmann–Fokker–Planck solution for electron beam dose calculationsAhmed Naceur0Alain Hébert1Paul Romano2Benoit Forget3Cornelia Chilian4Jean-François Carrier5Department of Engineering Physics, Nuclear Engineering Institute, École PolytechniqueDepartment of Mechanical Engineering, Nuclear Engineering Institute, École PolytechniqueComputational Science Division, Argonne National LaboratoryDepartment of Nuclear Science and Engineering, Massachusetts Institute of TechnologyDepartment of Engineering Physics, Nuclear Engineering Institute, École PolytechniqueCRCHUM, Centre hospitalier de l’Université de MontréalAbstract Legacy nuclear-reactor Boltzmann solvers start clinical deployment as an alternative to Monte Carlo (MC) codes and Fermi–Eyges semiemprical models in radiation oncology treatment planning. Today’s certified clinical solvers are limited to photon beams. In this paper, ELECTR, a state-of-the-art multigroup electron cross sections generation module in NJOY is presented and validated against Lockwood’s calorimetric measurements, EGS-nrc and GEANT-4 for 1–20 MeV unidirectional electron beams. The nuclear-reactor DRAGON-5 solver is upgraded to access the library and solve the Boltzmann–Fokker–Planck (BFP) equation. A variety of heterogeneous radiotherapy and radiosurgery phantom configurations were used for validation purpose. Case studies include a thorax benchmark, that of a typical breast Intra-Operative Radiotherapy and a high-heterogeneity patient-like benchmark. For all beams, $$100\%$$ 100 % of the water voxels satisfied the American Association of Physicists in Medicine accuracy criterion for a BFP-MC dose error below $$2\%$$ 2 % . At least, $$97.0\%$$ 97.0 % of adipose, muscle, bone, lung, tumor and breast voxels satisfied the $$2\%$$ 2 % criterion. The average BFP-MC relative error was about $$0.56\%$$ 0.56 % for all voxels, beams and materials combined. By irradiating homogeneous slabs from $$Z=1$$ Z = 1 (hydrogen) to $$Z=99$$ Z = 99 (einsteinium), we reported performance and defects of the CEPXS mode [US. Sandia National Lab., SAND-89-1685] in ELECTR for the entire periodic table. For all Lockwood’s benchmarks, NJOY-DRAGON dose predictions are within the experimental data precision for $$98\%$$ 98 % of voxels.https://doi.org/10.1038/s41598-023-27376-y
spellingShingle Ahmed Naceur
Alain Hébert
Paul Romano
Benoit Forget
Cornelia Chilian
Jean-François Carrier
Feasibility of a multigroup Boltzmann–Fokker–Planck solution for electron beam dose calculations
Scientific Reports
title Feasibility of a multigroup Boltzmann–Fokker–Planck solution for electron beam dose calculations
title_full Feasibility of a multigroup Boltzmann–Fokker–Planck solution for electron beam dose calculations
title_fullStr Feasibility of a multigroup Boltzmann–Fokker–Planck solution for electron beam dose calculations
title_full_unstemmed Feasibility of a multigroup Boltzmann–Fokker–Planck solution for electron beam dose calculations
title_short Feasibility of a multigroup Boltzmann–Fokker–Planck solution for electron beam dose calculations
title_sort feasibility of a multigroup boltzmann fokker planck solution for electron beam dose calculations
url https://doi.org/10.1038/s41598-023-27376-y
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