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Theoretical aspects on the use of single-time-point dosimetry for radionuclide therapy

Gustafsson, Johan LU and Taprogge, Jan (2022) In Physics in Medicine and Biology 67(2).
Abstract

Objective. This study considers the error distributions for time-integrated activity (TIA) of single-time-point (STP) methods for patient-specific dosimetry in radionuclide therapy. Approach. The general case with the same pharmaceutical labelled with different radionuclides for imaging and therapy are considered for a mono-exponential time-activity curve. Two methods for STP dosimetry, both based on the combination of one activity estimate with the population-mean effective decay constant, are investigated. The cumulative distribution functions (CDFs) and the probability density functions for the two methods are analytically derived for arbitrary distributions of the biological decay constant. The CDFs are used for determining 95%... (More)

Objective. This study considers the error distributions for time-integrated activity (TIA) of single-time-point (STP) methods for patient-specific dosimetry in radionuclide therapy. Approach. The general case with the same pharmaceutical labelled with different radionuclides for imaging and therapy are considered for a mono-exponential time-activity curve. Two methods for STP dosimetry, both based on the combination of one activity estimate with the population-mean effective decay constant, are investigated. The cumulative distribution functions (CDFs) and the probability density functions for the two methods are analytically derived for arbitrary distributions of the biological decay constant. The CDFs are used for determining 95% coverage intervals of the relative errors for different combinations of imaging time points, physical decay constants, and relative standard deviations of the biological decay constant. Two examples, in the form of kidney dosimetry in [177Lu]Lu-DOTA-TATE therapy and tumour dosimetry for Na[131I]I therapy for thyroid cancer with dosimetry based on imaging of Na[124I]I, are also studied in more detail with analysis of the sensitivity with respect to errors in the mean biological decay constant and to higher moments of the distribution. Main results. The distributions of the relative errors are negatively skewed, potentially leading to the situation that some TIA estimates are highly underestimated even if the majority of estimates are close to the true value. Significance. The main limitation of the studied STP dosimetry methods is the risk of large underestimations of the TIA.

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author
and
organization
publishing date
type
Contribution to journal
publication status
published
subject
keywords
dosimetry, radionuclide therapy, single-time-point dosimetry, uncertainty
in
Physics in Medicine and Biology
volume
67
issue
2
article number
025003
publisher
IOP Publishing
external identifiers
  • pmid:34965519
  • scopus:85123855225
ISSN
0031-9155
DOI
10.1088/1361-6560/ac46e0
language
English
LU publication?
yes
additional info
Publisher Copyright: © 2022 The Author(s). Published on behalf of Institute of Physics and Engineering in Medicine by IOP Publishing Ltd.
id
a844d057-6214-4b12-93b3-3d338d31e873
date added to LUP
2022-03-06 20:30:27
date last changed
2024-06-20 07:23:24
@article{a844d057-6214-4b12-93b3-3d338d31e873,
  abstract     = {{<p>Objective. This study considers the error distributions for time-integrated activity (TIA) of single-time-point (STP) methods for patient-specific dosimetry in radionuclide therapy. Approach. The general case with the same pharmaceutical labelled with different radionuclides for imaging and therapy are considered for a mono-exponential time-activity curve. Two methods for STP dosimetry, both based on the combination of one activity estimate with the population-mean effective decay constant, are investigated. The cumulative distribution functions (CDFs) and the probability density functions for the two methods are analytically derived for arbitrary distributions of the biological decay constant. The CDFs are used for determining 95% coverage intervals of the relative errors for different combinations of imaging time points, physical decay constants, and relative standard deviations of the biological decay constant. Two examples, in the form of kidney dosimetry in [177Lu]Lu-DOTA-TATE therapy and tumour dosimetry for Na[131I]I therapy for thyroid cancer with dosimetry based on imaging of Na[124I]I, are also studied in more detail with analysis of the sensitivity with respect to errors in the mean biological decay constant and to higher moments of the distribution. Main results. The distributions of the relative errors are negatively skewed, potentially leading to the situation that some TIA estimates are highly underestimated even if the majority of estimates are close to the true value. Significance. The main limitation of the studied STP dosimetry methods is the risk of large underestimations of the TIA. </p>}},
  author       = {{Gustafsson, Johan and Taprogge, Jan}},
  issn         = {{0031-9155}},
  keywords     = {{dosimetry; radionuclide therapy; single-time-point dosimetry; uncertainty}},
  language     = {{eng}},
  number       = {{2}},
  publisher    = {{IOP Publishing}},
  series       = {{Physics in Medicine and Biology}},
  title        = {{Theoretical aspects on the use of single-time-point dosimetry for radionuclide therapy}},
  url          = {{http://dx.doi.org/10.1088/1361-6560/ac46e0}},
  doi          = {{10.1088/1361-6560/ac46e0}},
  volume       = {{67}},
  year         = {{2022}},
}