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Updated: Feb 10, 2026

Proton Therapy Delivery and Its Clinical Application in Select Solid Tumor Malignancies
Published on: February 6, 2019
An analytical dose-averaged LET calculation algorithm considering the off-axis LET enhancement by secondary protons
Shusuke Hirayama1,2,3, Taeko Matsuura4,5, Hideaki Ueda4
1Faculty of Medicine, Hokkaido University, Sapporo, Hokkaido, 0608638, Japan.
A new method accurately calculates dose-averaged linear energy transfer (LETd) for proton therapy, improving biological effect assessment. This dual-LET-kernel model enhances accuracy, especially in complex patient geometries, aiding in side effect risk recognition.
Area of Science:
- Medical Physics
- Radiation Oncology
- Computational Biology
Background:
- Accurate calculation of dose-averaged linear energy transfer (LETd) is crucial for assessing biological effects in proton therapy.
- Existing analytical methods may not fully capture the complexities of LETd distribution, particularly off-axis effects.
Purpose of the Study:
- To develop and validate an analytical method (PBA-dLET) for fast and accurate LETd calculation in proton therapy.
- To incorporate the off-axis enhancement of LETd due to secondary protons into a pencil-beam algorithm (PBA).
Main Methods:
- Developed a dual-LET-kernel model within the PBA framework, assigning separate LET values for primary and halo components.
- Utilized a triple Gaussian model for dose kernels, accounting for primary protons and secondary protons from nuclear reactions.
- Validated the PBA-dLET algorithm against Monte Carlo simulations (MCS) in homogeneous phantoms and complex patient geometries (prostate, liver, lung).
Main Results:
- The PBA-dLET method demonstrated good agreement with MCS results for LETd profiles in both phantom and patient geometries.
- Excellent accuracy was observed, with maximum differences in mean LETd (LETd,mean) below 0.08 keV/μm compared to MCS.
- Significant improvement in accuracy was noted at the lateral penumbra compared to single-LET-kernel models.
Conclusions:
- The developed dual-LET-kernel model accurately reproduces LETd distributions calculated by MCS in various geometries.
- This method offers improved accuracy for LETd calculations in proton therapy, particularly in complex anatomical regions.
- The PBA-dLET model is valuable for precise risk assessment of side effects in proton therapy, especially when targets are near critical organs.
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