An analytical model to calculate absorbed fractions for internal dosimetry with alpha, beta and gamma emitters
We developed a general model for the calculation of absorbed fractions in ellipsoidal volumes of soft tissue uniformly filled with alpha, beta and gamma emitting radionuclides. The approach exploited Monte Carlo simulations with the Geant4 code to determine absorbed fractions in ellipsoids characte...
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Accademia Peloritana dei Pericolanti
2014-03-01
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http://dx.doi.org/10.1478/AAPP.921A1
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doaj-f8debb56350f44f68738d421810563662020-11-25T02:25:20ZengAccademia Peloritana dei PericolantiAtti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali0365-03591825-12422014-03-01921A110.1478/AAPP.921A1AAPP.921A1An analytical model to calculate absorbed fractions for internal dosimetry with alpha, beta and gamma emittersErnesto Amato0Antonio Italiano1Sergio Baldari2 Department of Biomedical Sciences and of Morphologic and Functional Imaging, Section of Radiological Sciences, University of Messina, Messina, Italy Istituto Nazionale di Fisica Nucleare, Messina, Italy Department of Biomedical Sciences and of Morphologic and Functional Imaging, Section of Radiological Sciences, University of Messina, Messina, Italy We developed a general model for the calculation of absorbed fractions in ellipsoidal volumes of soft tissue uniformly filled with alpha, beta and gamma emitting radionuclides. The approach exploited Monte Carlo simulations with the Geant4 code to determine absorbed fractions in ellipsoids characterized by a wide range of dimensions and ellipticities, for monoenergetic emissions of each radiation type. The so-obtained absorbed fractions were put in an analytical relationship with the 'generalized radius', calculated as 3V/S, where V is the ellipsoid volume and S its surface. Radiation-specific parametric functions were obtained in order to calculate the absorbed fraction of a given radiation in a generic ellipsoidal volume. The dose from a generic radionuclide can be calculated through a process of summation and integration over the whole radionuclide emission spectrum, profitably implemented in an electronic spreadsheet. We compared the results of our analytical calculation approach with those obtained from the OLINDA/EXM computer software, finding a good agreement in a wide range of sphere radii, for the high-energy pure beta emitter 90Y, the commonly employed beta-gamma emitter 131I, and the pure alpha emitter 213Po. The generality of our approach makes it useful an easy to implement in clinical dosimetry calculations as well as in radiation safety estimations when doses from internal radionuclide uptake are to be taken into account. http://dx.doi.org/10.1478/AAPP.921A1 |
collection |
DOAJ |
language |
English |
format |
Article |
sources |
DOAJ |
author |
Ernesto Amato Antonio Italiano Sergio Baldari |
spellingShingle |
Ernesto Amato Antonio Italiano Sergio Baldari An analytical model to calculate absorbed fractions for internal dosimetry with alpha, beta and gamma emitters Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali |
author_facet |
Ernesto Amato Antonio Italiano Sergio Baldari |
author_sort |
Ernesto Amato |
title |
An analytical model to calculate absorbed fractions for internal dosimetry with alpha, beta and gamma emitters |
title_short |
An analytical model to calculate absorbed fractions for internal dosimetry with alpha, beta and gamma emitters |
title_full |
An analytical model to calculate absorbed fractions for internal dosimetry with alpha, beta and gamma emitters |
title_fullStr |
An analytical model to calculate absorbed fractions for internal dosimetry with alpha, beta and gamma emitters |
title_full_unstemmed |
An analytical model to calculate absorbed fractions for internal dosimetry with alpha, beta and gamma emitters |
title_sort |
analytical model to calculate absorbed fractions for internal dosimetry with alpha, beta and gamma emitters |
publisher |
Accademia Peloritana dei Pericolanti |
series |
Atti della Accademia Peloritana dei Pericolanti : Classe di Scienze Fisiche, Matematiche e Naturali |
issn |
0365-0359 1825-1242 |
publishDate |
2014-03-01 |
description |
We developed a general model for the calculation of absorbed fractions in ellipsoidal volumes of soft tissue uniformly filled with alpha, beta and gamma emitting radionuclides. The approach exploited Monte Carlo simulations with the Geant4 code to determine absorbed fractions in ellipsoids characterized by a wide range of dimensions and ellipticities, for monoenergetic emissions of each radiation type. The so-obtained absorbed fractions were put in an analytical relationship with the 'generalized radius', calculated as 3V/S, where V is the ellipsoid volume and S its surface. Radiation-specific parametric functions were obtained in order to calculate the absorbed fraction of a given radiation in a generic ellipsoidal volume. The dose from a generic radionuclide can be calculated through a process of summation and integration over the whole radionuclide emission spectrum, profitably implemented in an electronic spreadsheet. We compared the results of our analytical calculation approach with those obtained from the OLINDA/EXM computer software, finding a good agreement in a wide range of sphere radii, for the high-energy pure beta emitter 90Y, the commonly employed beta-gamma emitter 131I, and the pure alpha emitter 213Po. The generality of our approach makes it useful an easy to implement in clinical dosimetry calculations as well as in radiation safety estimations when doses from internal radionuclide uptake are to be taken into account. |
url |
http://dx.doi.org/10.1478/AAPP.921A1
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