Uncertainty analysis in internal dose calculations for cerium considering the uncertainties of biokinetic parameters and S values
Tóm tắt
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 144Ce 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.
Tài liệu tham khảo
Bailey MR, Ansoborlo E, Guilmette RA, Paquet F (2007) Updating the ICRP human respiratory tract model. Radiat Prot Dosim 127:31–34
Becker J, Zankl M, Fill U, Hoeschen C (2008) Katja—the 24th week of virtual pregnancy for dosimetric calculations. Pol J Med Phys Eng 14(1):13–19
Berman M (1976) MIRD Pamphlet No. 12: Kinetic models for absorbed dose calculations. Society of Nuclear Medicine, New York, pp 1–14
Goossens LHJ, Harrison JD, Kraan BCP, Cooke RM, Harper FT, Hora SC (1998) Probabilistic accident consequence uncertainty analysis. Uncertainty assessment for internal dosimetry. NUREG/CR-6571, EUR 16773
Görtz R, Bath N, Berg HP (2000) Generic use of uncertainties in endpoint predictions for regulatory purpose. Radiat Prot Dosim 90:377–381
Harrison JD, Leggett RW, Nosske D (2001) Reliability of the ICRP's dose coefficients for members of the public, II. Uncertainties in the absorption of ingested radionuclides and the effect on dose estimates. Radiat Prot Dosim 95:295–308
Henrichs K (2007) Concepts of ISO for the monitoring of workers for internal exposure and the present approach for the dose assessment. Radiat Prot Dosim 124:266–273
Höllriegl V, Barkleit A, Spielmann V, Li WB (2020) Measurement, model prediction and uncertainty quantification of plasma clearance of cerium citrate in humans. Radiat Environ Biophys 59:121–130
ICRP (1995) Basic anatomical and physiological data for use in radiological protection—The Skeleton. ICRP Publication 70. Ann. ICRP, vol 25 (2), pp 1–82
ICRP (2006) Human alimentary tract model for radiological protection. ICRP Publication 100. Elsevier, Oxford. Ann. ICRP, vol 36 (1–2), pp 1–336
ICRP (2007) The 2007 Recommendations of the International Commission on Radiological Protection. ICRP Publication 103. Elsevier, Oxford. Ann. ICRP, vol 37 (2–4), pp 1–332
ICRP (2008) Nuclear decay data for dosimetric calculations. ICRP Publication 107. International Commission of Radiological Protection, Oxford. Ann. ICRP, vol 38 (3), pp 1–96
ICRP (2009) Adult reference computational phantoms. ICRP Publication 110. International Commission on Radiological Protection, Oxford. Ann. ICRP, vol 39 (2), pp 1–164
ICRP (2015) Occupational intakes of radionuclides: Part 1. ICRP Publication 130. Ann. ICRP, vol 44 (2), pp 1–188
ICRP (2016) The ICRP computational framework for internal dose assessment for reference adults: specific absorbed fractions. ICRP Publication 133. Ann. ICRP, vol 45 (2), pp 1–74
ICRP (2019) Occupational intakes of radionuclides: Part 4. ICRP Publication 141. Ann. ICRP, vol 48 (2–3), pp 1–501
ICRP (2020) Paediatric reference computational phantoms. ICRP Publication 143. Ann. ICRP, vol 49 (1)
ICRP (1959) Report of Committee II on Permissible dose for internal radiation. ICRP Publication 2. Pergamon Press, Oxford, UK. ICRP, pp 1–40
ICRP (1979) Limits for intakes of radionuclides by workers. Part 1. ICRP Publication 30. Pergamon Press, Oxford. Ann. ICRP, vol 2 (3–4), pp 1–116
ICRP (1989) Age-dependent doses to members of the public from intake of radionuclides: Part 1: Ingestion dose coefficients. ICRP Publication 56. Pergamon Press, Oxford. Ann. ICRP, vol 20 (2), pp 1–122
ICRP (1991) 1990 Recommendations of the International Commission on Radiological Protection. ICRP Publication 60. Pergamon Press, Oxford. Ann. ICRP, vol 21 (1–3), pp 1–201
ICRP (1993) Age-dependent doses to members of the public from intake of radionuclides. Part 2: Ingestion dose coefficients. ICRP Publication 67. Pergamon Press, Oxford. Ann. ICRP, vol 23 (3–4), pp 1–167
ICRP (1995a) Age-dependent doses to members of the public from intake of radionuclides. Part 5: Compilation of ingestion and inhalation dose coefficients. ICRP Publication 72. Pergamon Press, Oxford. Ann. ICRP, vol 26 (1), pp 1–91
ICRP (1995b) Age-dependent doses to members of the public from intake of radionuclides: Part 3: Ingestion dose coefficients. Annals of ICRP 25. ICRP Publication 69. Pergamon Press, Oxford. ICRP, vol 25 (1), pp 1–74
ICRP (1995c) Age-dependent doses to members of the public from intake of radionuclides: Part 4: Inhalation dose coefficients. ICRP Publication 71. Pergamon Press, Oxford. ICRP, vol 25 (3–4), pp 1–405
ICRP (1998) Radiation dose to patients from radiopharmaceuticals. ICRP Publication 80. Pergamon Press, Oxford. Ann. ICRP, vol 28 (3), pp 1–126
Iman RL, Shortencarier MJ (1984) A FORTRAN 77 program and user’s guide for the generation of latin hypercube and random samples for use with computer models,” NUREGKR-3624 (SAND83-2365)
Johnson PB, Bahadori AA, Eckerman KF, Lee C, Bolch WE (2011) Response functions for computing absorbed dose to skeletal tissues from photon irradiation—an update. Phys Med Biol 56:2347–2366
Kartha CC, Eapen JT, Radhakumary C, Raman Kutty V, Ramani K, Lal AV (1998) Pattern of cardiac fibrosis in rabbits periodically fed a magnesium-restricted diet and administered rare earth chloride through drinking water. Biol Trace Elem Res 63(1):19–30
Kawrakow I, Mainegra-Hing E, Rogers DWO, Tessier F, Walters BRB (2009) The EGSnrc code system: Monte Carlo simulation of electron and photon transport. National Research Council of Canada (NRCC), Ottawa
King SD, Spiers FW (1985) Photoelectron enhancement of the absorbed dose from x rays to human bone marrow: experimental and theoretical studies. Br J Radiol 58:345–356
Klein W (2011) Stochastische Aspekte der internen. Dosimetrie. https://doi.org/10.5445/IR/1000028220
Leggett RW (2001) Reliability of the ICRP's dose coefficients for members of the public. 1. Sources of uncertainty in the biokinetic models. Radiat Prot Dosim 95:199–213
Leggett RW (2003) Reliability of the ICRP’s dose coefficient for members of the public. III. Plutonium as a case study of uncertainties in the systemic biokinetics of radionuclides. Radiat Prot Dosim 106:103–120
Leggett RW, Bouville A, Eckerman KF (1998) Reliability of the ICRP’s system biokinetic models. Radiat Prot Dosim 79:335–342
Leggett R, Harrison J, Phipps A (2007) Reliability of the ICRP’s dose coefficients for members of the public: IV. Basis of the human alimentary tract model and uncertainties in model predictions. Radiat Prot Dosim 123:156–170
Leggett RW, Williams LR (1981) A reliability index for models. Ecol Model 13:303–312
Li WB, Greiter M, Oeh U, Hoeschen C (2011) Reliability of a new biokinetic model of zirconium in internal dosimetry. Part I. Parameter uncertainty analysis. Health Phys 101(6):660–676
Li WB, Hoeschen C (2010) Uncertainty and sensitivity analysis of biokinetic models for radiopharmaceuticals used in nuclear medicine. Radiat Prot Dosim 139:228–231
Li WB, Höllriegl V, Roth P, Oeh U (2008) Influence of human biokinetics of strontium on internal ingestion dose of 90Sr and absorbed dose of 89Sr to organs and metastases. Radiat Environ Biophys 47:225–239
Li WB, Klein W, Blanchardon E, Puncher M, Leggett RW, Oeh U, Breustedt B, Noßke D, Lopez MA (2015) Parameter uncertainty analysis of a biokinetic model of cesium. Radiat Prot Dosim 163(1):37–57. https://doi.org/10.1093/rpd/ncu055
Li WB, Zankl M, Petoussi-Henß N, Oeh U, Hoeschen C (2009) Uncertainty of absorbed dose for radiopharmaceuticals of 18F-FDG. J Nucl Med 50(suppl 2):1873
Li WB, Zankl M, Schlattl H, Petoussi-Henss N, Eckerman KF, Bolch WE, Oeh U, Hoeschen C (2010) Impact on 141Ce, 144Ce, 95Zr, and 90Sr beta emitter dose coefficients of photon and electron SAFs calculated with ICRP/ICRU reference adult voxel computational phantoms. Health Phys 99(4):503–510
NCRP (1998) Evaluating the reliability of biokinetic and dosimetric models and parameters used to assess individual doses for risk assessment purposes. NCRP Commentary No. 15. National Council on Radiation Protection and Measurements, Bethesda
NCRP (2014) Report No. 171, Uncertainties in the estimation of radiation risks and probability of disease causation. National Council on Radiation Protection & Measurement, Bethesda
NCRP (2009) Report No. 164, Uncertainty in internal radiation dose assessment. National Council on Radiation Protection & Measurement, Bethesda
Petoussi-Henss N, Zankl M, Fill U, Regulla D (2002) The GSF family of voxel phantoms. Phys Med Biol 47:89–106
Puncher M (2014) An assessment of the reliability of dose coefficients for intakes of radionuclides by members of the public. J Radiol Prot 34(3):625–643
Puncher M, Harrison JD (2012) Assessing the reliability of dose coefficients for inhaled and ingested radionuclides. J Radiol Prot 32:223–241
Rosenbrock HH (1963) Some general implicit processes for the numerical solution of diffetential equantions. Comput J 5(4):329–330
Sappakitkamjorn J, Niwitpong S (2013) Confidence intervals for the coefficients of variation with bounded parameters. Int J Math Comput Phys Electr Comput Eng 7(9):1416–1421
Schmidl D, Hug S, Li WB, Greiter MB, Theis FJ (2012) Bayesian model selection validates a biokinetic model for zirconium processing in humans. BMC Syst Biol 6:95
Spielmann V, Li WB, Zankl M (2018) Finding sensitive parameters in internal dose calculations for radiopharmaceuticals commonly used in clinical nuclear medicine. Radiat Environ Biophys 57:277–284
Spielmann V, Li WB, Zankl M, Oeh U, Hoeschen C (2016) Uncertainty quantification in internal dose calculations for seven selected radiopharmaceuticals. J Nucl Med 57(1):122–128
Taylor DM, Leggett RW (1998) A generic biokinetic model for the lanthanide elements. Radiat Prot Dosim 79:351–354
Taylor DM, Leggett RW (2003) A generic biokinetic model for predicting the behaviour of the lanthanide elements in the human body. Radiat Prot Dosim 105:193–198
U.S. EPA (2009) Toxicological review of cerium oxide and cerium compounds. EPA/635/R-08/002F
U.S. EPA (2012) Rare earth elements: a review of production, processing, recycling, and associated environmental issues processing, recycling, and associated environmental issues. EPA 600/R-12/572
UNSCEAR (2012) Sources, effects and risks of ionizing radiation. Annex B—Uncertainties in risk estimates for radiation-induced cancer. UNSCEAR 2012 Report. United Nations Scientific Committee on the Effects of Atomic Radiation. United Nations sales publication E.16.IX.1. United Nations, New York, 2015
Virtual Human Database. https://www.helmholtz-muenchen.de/irm/service/virtual-human-download-portal/virtual-human-database/index.html. Assessed 1 July 2019
Zankl M, Schlattl H, Petoussi-Henss N, Hoeschen C (2012) Electron specific absorbed fractions for the adult male and female ICRP/ICRU reference computational phantoms. Phys Med Biol 57:4501–4526
Zankl M (2010) The GSF voxel computational phantom family. In: Xu XG, Eckerman KF (eds) Handbook of anatomical models for radiation dosimetry. Series in medical physics and biomedical engineering. Taylor & Francis, Boca Raton, pp 65–85