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Calculating geometrical margins for hypofractionated radiotherapy
A Herschtal1, F Foroudi, L Silva
1Department of Biostatistics and Clinical Trials, Peter MacCallum Cancer Centre, Melbourne, Australia. Alan.Herschtal@petermac.org
Physics in Medicine and Biology
|December 22, 2012
Summary
New algorithms accurately calculate radiotherapy margins for hypofractionated regimens, addressing limitations of traditional formulas. This ensures precise treatment margins even with fewer fractions, improving patient care.
Area of Science:
- Radiation Oncology
- Medical Physics
Background:
- Traditional radiotherapy margin calculations assume a large number of small fractions.
- Hypofractionated radiotherapy (≤5 fractions) is increasingly common, challenging existing margin formulae.
- Existing methods may lack accuracy for regimens with limited fractions.
Purpose of the Study:
- To develop and validate an algorithm for accurate margin calculation in hypofractionated radiotherapy.
- To provide reliable margin estimates for treatment regimens with as few as two fractions.
Main Methods:
- Developed a novel algorithm for calculating radiotherapy margins.
- Incorporated a method for estimating the upper margin limit.
- Adjusted the van Herk formula to provide a lower margin limit.
- Used a single-term mathematical model for interpolation between limits.
- Validated results against Monte Carlo simulations.
Main Results:
- The proposed algorithm accurately estimates required margins within approximately 1%.
- Accuracy is maintained across a wide range of systematic errors, random errors, and penumbral widths.
- The method is effective even for hypofractionated regimens with as few as two fractions.
Conclusions:
- The developed algorithm provides accurate and reliable margin calculations for hypofractionated radiotherapy.
- This approach addresses the limitations of traditional formulae in modern radiotherapy practices.
- The findings support the safe and effective implementation of hypofractionation.

