Nuclear event zero-time calculation and uncertainty evaluation

Pan, Pujing; Ungar, R. Kurt

doi:10.1016/j.jenvrad.2011.11.009

Cited by 6 publications

(1 citation statement)

References 9 publications

Supporting

Mentioning

Contrasting

Order By: Relevance

“…Conversely, iodine may be encountered in industry in various chemical and physical forms, including vapors and gases, organic compounds, and particulate forms (ICRP 2017 ). Iodine-131 is associated with nuclear power plant effluent from the release of fission products (DJurović et al 2016 , Sulaiman et al 2018 ) or an improvised nuclear device (Marcus et al 2006 , Chen and Tenforde 2010 , Pan and Ungar 2012 ). Practical examples given in this paper for demonstration employed the ICRP HRTM given in Publication 130 (ICRP 2015 ); however, the fundamental mathematical approach governing the estimation of activity burden in the body remains consistent and could be adopted for other internal exposure scenarios of concern.…”

Section: Introductionmentioning

confidence: 99%

Mathematical solutions in internal dose assessment: A comparison of Python-based differential equation solvers in biokinetic modeling

Mate-Kole,

Margot,

Dewji

2023

J. Radiol. Prot.

View full text Add to dashboard Cite

In biokinetic modeling systems employed for radiation protection, biological retention and excretion have been modelled as a series of discretized compartments representing the organs and tissues of the human body. Fractional retention and excretion in these organ and tissue systems have been mathematically governed by a series of coupled first-order ordinary differential equations (ODEs). The coupled ODE systems comprising the biokinetic models are usually stiff due to the severe difference between rapid and slow transfers between compartments. In this study, the capabilities of solving a complex coupled system of ODEs for biokinetic modeling were evaluated by comparing different Python programming language solvers and solving methods with the motivation of establishing a framework that enables multi-level analysis. The stability of the solvers was analyzed to select the best performers for solving the biokinetic problems. A Python-based linear algebraic method was also explored to examine how the numerical methods deviated from an analytical or semi-analytical method. Results demonstrated that customized implicit methods resulted in an enhanced stable solution for the inhaled 60Co (Type M) and 131I (Type F) exposure scenarios for the inhalation pathway of the International Commission on Radiological Protection (ICRP) Publication 130 Human Respiratory Tract Model (HRTM). The customized implementation of the Python-based implicit solvers resulted in approximately consistent solutions with the Python-based matrix exponential method (expm). The differences generally observed between the implicit solvers and expm are attributable to numerical precision and the order of numerical approximation of the numerical solvers. This study provides the first analysis of a list of Python ODE solvers and methods by comparing their usage for solving biokinetic models using the ICRP Publication 130 HRTM and provides a framework for the selection of the most appropriate ODE solvers and methods in Python language to implement for modeling the distribution of internal radioactivity.

show abstract

Section: Introductionmentioning

confidence: 99%

Mathematical solutions in internal dose assessment: A comparison of Python-based differential equation solvers in biokinetic modeling

Mate-Kole,

Margot,

Dewji

2023

J. Radiol. Prot.

View full text Add to dashboard Cite

show abstract

On the calculation of activity concentrations and nuclide ratios from measurements of atmospheric radioactivity

Axelsson

Ringbom

2014

Applied Radiation and Isotopes

View full text Add to dashboard Cite

Fundamental uncertainty equations for nuclear dating applied to the 140 Ba- 140 La and 227 Th- 223 Ra chronometers

Pommé

Collins

Harms

et al. 2016

Journal of Environmental Radioactivity

View full text Add to dashboard Cite

Basic equations for age dating through activity ratio measurements are presented and applied to nuclear chronometers based on parent-daughter decay. Uncertainty propagation formulae are derived which relate the relative uncertainty on the half-lives and measured activity ratios with the relative uncertainty on the calculated time of a nuclear event. Particular attention is paid to the case of relatively short-lived radionuclides for which the change in decay rate during the measurement is non-negligible. Mathematical solutions are presented to correct the perceived activity ratio and adapt the uncertainty propagation formulae to complete the uncertainty budget. The formulae have been applied to Ba-La chronometry, which is particularly useful for dating a nuclear explosion through measurement of the produced activity ratio of La andBa in a finite time interval. They were also applied to the Th-Ra parent-daughter pair produced for therapeutic use. The impact of inaccuracies in the nuclear decay data on the performance of these nuclear chronometers is shown and discussed.

show abstract

Nuclear event zero-time calculation and uncertainty evaluation

Cited by 6 publications

References 9 publications

Mathematical solutions in internal dose assessment: A comparison of Python-based differential equation solvers in biokinetic modeling

Mathematical solutions in internal dose assessment: A comparison of Python-based differential equation solvers in biokinetic modeling

On the calculation of activity concentrations and nuclide ratios from measurements of atmospheric radioactivity

Fundamental uncertainty equations for nuclear dating applied to the 140 Ba- 140 La and 227 Th- 223 Ra chronometers

Contact Info

Product

Resources

About