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  • https://doi.org/10.25259/asjo_21_2025Copy DOI Icon

Clinical applicability of setup margins in radiotherapy based on non-gaussian approach: A multiple-site comparison

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Abstract

Objectives: Accurate setup margin (SM) estimation is critical in radiotherapy to ensure target coverage while sparing organs at risk. Traditional methods like van Herk’s formalism assume that setup errors follow a normal or Gaussian distribution, which may not hold for small or skewed datasets and may result in under- or over-estimated SMs.This study evaluates an unconventional method based on the non-Gaussian percentile approach against the van Herk formalism for SM estimation across multiple tumor sites using electronic portal imaging device (EPID) setup data. Material and Methods: Eighty patients (20 per site: brain, head and neck, thorax, pelvis) treated with external beam radiotherapy were analyzed retrospectively. Setup errors were measured via EPID-based imaging. Conventional SMs were calculated using van Herk’s method (2.5Σ + 0.7σ), while the unconventional method derived SMs directly from the setup-error histogram, i.e., the 5th–95th percentiles (90% range of setup errors, RSE) of per-patient mean daily shifts.Normality was assessed using Shapiro-Wilk(S-W) tests, skewness/kurtosis analysis, and Q-Q plots. Methods were compared using the Wilcoxon signed-rank test (p<0.05) and effect sizes (Cohen’s d)reported without claiming clinical significance. Results: Unconventional SMs were consistently larger than conventional SMs (overall medians: 4.21 vs 2.71 mm; p<0.05), with the largest differences in thorax (Δ up to 3.63 mm) and pelvis (Δ up to 2.17 mm). Several datasets were non-normal by S–W and/or skewness/kurtosis. As a practical benchmark, margin differences ≥2 mm were considered clinically meaningful for interpretation, given typical planning target volume (PTV) rounding and published cone-beam computed tomography (CBCT)-era margins. Conclusion: In non-Gaussian or limited-data scenarios, the percentile-based method yields more conservative SMs than van Herk. Given EPID’s inability to capture organ motion/rotation, validation with CBCT or 4D imaging is recommended before clinical implementation.

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