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Uncertainty Analysis of Time-Integrated Activity Coefficient in Single-Time-Point Dosimetry Using Bayesian Fitting

Achmad Faturrahman Jundi1,2, M Dlorifun Naqiyyun3, Bisma Barron Patrianesha1,4

  • 1Medical Physics and Biophysics, Physics Department, Faculty of Mathematics and Natural Sciences, Universitas Indonesia, Depok, 16424 Indonesia.

Nuclear Medicine and Molecular Imaging
|April 18, 2024
PubMed
Summary

This study introduces Bayesian fitting to calculate uncertainty for time-integrated activity coefficients (TIACs) using the single-time-point method in molecular radiotherapy. This Bayesian fitting method offers a novel approach for uncertainty analysis in dosimetry.

Keywords:
Coefficient of variationGoodness of fitObjective functionRelative deviationStandard deviation

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Area of Science:

  • Medical Physics
  • Radiochemistry
  • Nuclear Medicine

Background:

  • Accurate uncertainty calculation for time-integrated activity coefficients (TIACs) is crucial in molecular radiotherapy.
  • The single-time-point (STP) method is a simplified approach for dosimetry, but its uncertainty calculation remains underexplored.

Purpose of the Study:

  • To present a novel method based on Bayesian fitting (BF) for calculating the standard deviation (SD) of individual TIACs within the STP dosimetry framework.
  • To evaluate the performance of this BF-based STP method for uncertainty analysis.

Main Methods:

  • Utilized biokinetic data of 177Lu-DOTATATE in kidneys.
  • Applied BF methods with an extended objective function, incorporating prior knowledge for parameter optimization.
  • Calculated reference TIACs (rTIACs) from all-time-point data and compared them with calculated TIACs (cTIACs) obtained via BF with relative (BFr) and absolute-based (BFa) variance methods from STP data.

Main Results:

  • BF methods demonstrated a good fit for all patients.
  • The mean ± SD of relative deviation (%RD) between cTIACs and rTIACs were 7.0 ± 25.2% for BFr and 2.6 ± 8.9% for BFa.
  • The coefficient of variation (%CV) for individual cTIACs' SD ranged from 22-33% (BFa) and 36-78% (BFr), while rTIAC SD %CV was 0.8-49%.

Conclusions:

  • Introduced the BF method as a viable approach for calculating the SD of individual TIACs in STP dosimetry.
  • The presented BF method provides a potential alternative for uncertainty analysis in STP dosimetry, enhancing the reliability of molecular radiotherapy treatments.