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A polar-coordinate-based pencil beam algorithm for VMAT dose computation with high-resolution gantry angle sampling.

Wenchih Tseng1, Guanghua Yan1, Hongcheng Liu2

  • 1Department of Radiation Oncology, University of Florida, Gainesville, Florida, USA.

Medical Physics
|March 31, 2022
PubMed
Summary
This summary is machine-generated.

A new polar-coordinate-based pencil beam (PB) algorithm improves volumetric modulated arc therapy (VMAT) dose computation efficiency and accuracy. This method reduces dose errors from angular under-sampling, offering a faster and more precise approach for VMAT planning.

Keywords:
VMATdose calculation algorithmfast Fourier transformpencil beam modelpolar coordinate system

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Area of Science:

  • Medical Physics
  • Radiation Oncology
  • Computational Dosimetry

Background:

  • Current treatment planning systems (TPSs) approximate continuous volumetric modulated arc therapy (VMAT) delivery with static beams, leading to inefficient dose computations.
  • This discretization can introduce dose discrepancies, particularly due to angular under-sampling effects during VMAT planning.

Purpose of the Study:

  • To develop and evaluate a novel polar-coordinate-based pencil beam (PB) algorithm for efficient and accurate VMAT dose computation.
  • To improve computational efficiency and reduce dose errors associated with angular under-sampling in VMAT.

Main Methods:

  • Simulated 6 MV pencil beams in a uniform cylindrical phantom using EGSnrc Monte Carlo (MC).
  • Developed PB kernels in polar coordinates, fitted with Gaussians, and computed VMAT doses using fast Fourier transform (FFT) convolution.
  • Validated against a collapsed cone convolution (CCC) algorithm in both homogeneous and heterogeneous phantoms, using gamma analysis for accuracy and complexity theory for efficiency.

Main Results:

  • The proposed PB algorithm achieved dosimetric accuracy comparable to the CCC algorithm (average gamma passing rates of 96% [2%/2mm] and 98% [3%/3mm]).
  • Demonstrated superior computational efficiency on a standard PC compared to a high-performance server for CCC, especially with finer angular sampling.
  • The algorithm maintained reasonable accuracy and efficiency in heterogeneous phantom calculations with implemented corrections.

Conclusions:

  • The novel polar-coordinate-based PB algorithm offers enhanced computational efficiency for VMAT dose computation while maintaining clinical dosimetric accuracy.
  • It effectively reduces dose errors from angular under-sampling, allowing for finer sampling rates without compromising practical computing speeds.
  • The algorithm's flexible structure is suitable for clinical applications, including independent dose verification for patient-specific quality assurance.