Uncertainty analysis in internal dose calculations for cerium considering the uncertainties of biokinetic parameters and

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ORIGINAL ARTICLE

Uncertainty analysis in internal dose calculations for cerium considering the uncertainties of biokinetic parameters and S values Vladimir Spielmann1   · Wei Bo Li1   · Maria Zankl1 · Juan Camilo Ocampo Ramos2 · Nina Petoussi‑Henss1 Received: 11 May 2020 / Accepted: 5 September 2020 © The Author(s) 2020

Abstract Radioactive cerium and other lanthanides can be transported through the aquatic system into foodstuffs and then be incorporated by humans. Information on the uncertainty of reported dose coefficients for exposed members of the public is then needed for risk analysis. In this study, uncertainties of dose coefficients due to the ingestion of the radionuclides 141Ce and 144 Ce were estimated. According to the schema of internal dose calculation, a general statistical method based on the propagation of uncertainty was developed. The method takes into account the uncertainties contributed by the biokinetic models and by the so-called S values. These S-values were derived by using Monte Carlo radiation transport simulations with five adult non-reference voxel computational phantoms that have been developed at Helmholtz Zentrum München, Germany. Random and Latin hypercube sampling techniques were applied to sample parameters of biokinetic models and S values. The uncertainty factors, expressed as the square root of the 97.5th and 2.5th percentile ratios, for organ equivalent dose coefficients of 141Ce were found to be in the range of 1.2–5.1 and for 144Ce in the range of 1.2–7.4. The uncertainty factor of the detriment-weighted dose coefficient for 141Ce is 2.5 and for 144Ce 3.9. It is concluded that a general statistical method for calculating the uncertainty of dose coefficients was developed and applied to the lanthanide cerium. The dose uncertainties obtained provide improved dose coefficients for radiation risk analysis of humans. Furthermore, these uncertainties can be used to identify those parameters most important in internal dose calculations by applying sensitivity analyses. Keywords  Uncertainty quantification · Internal dosimetry · Biokinetic model · Reference and non-reference phantoms

Introduction As a result of human technical activities, the man-made and radioactive isotopes 141Ce and 144Ce might pollute the environment. Through different transport pathways, they could be spread and enter the human food chain via aquatic ecosystems (Kartha et al. 1998, U.S. EPA 2009, 2012). Determination of the internal dose after their ingestion is necessary to judge if any protective actions from exposure to these radionuclides are required for members of the public. * Vladimir Spielmann [email protected] * Wei Bo Li wli@helmholtz‑muenchen.de 1



Institute of Radiation Medicine, Helmholtz Zentrum München-German Research Center for Environmental Health, Neuherberg, Germany



CRCT, UMR 1037, INSERM, Université Toulouse III Paul Sabatier, Toulouse, France

2

The International Commission of Radiological Protection (ICRP) recommends the following three quantities for use in radiological prote