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Lateral Penumbra Modelling Based Leaf End Shape Optimization for Multileaf Collimator in Radiotherapy.

Dong Zhou1, Hui Zhang1, Peiqing Ye1

  • 1Department of Mechanical Engineering, Tsinghua University, Beijing 100084, China.

Computational and Mathematical Methods in Medicine
|April 26, 2016
PubMed
Summary

This study introduces a cost-efficient analytical model for predicting radiotherapy penumbra, crucial for treatment planning. Optimized leaf end shapes, like Bezier curves and B-splines, minimize penumbra variations and mean values for better treatment delivery.

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Area of Science:

  • Medical Physics
  • Radiotherapy Physics
  • Computational Modeling

Background:

  • The lateral penumbra of multileaf collimators (MLCs) is critical in radiotherapy.
  • Penumbra width is influenced by MLC leaf position and leaf end shape.

Purpose of the Study:

  • To develop an analytical model for predicting lateral penumbra induced by MLC leaf end shape.
  • To evaluate different parametric leaf end shapes for optimizing penumbra characteristics.

Main Methods:

  • Formulation of an analytical method using Tangent Secant Theory.
  • Implementation of parametric leaf end shapes: circular arc, elliptical arc, Bézier curve, and B-spline.
  • Application of genetic algorithm with a biobjective function (penumbra mean and variance) to find the Pareto frontier.

Main Results:

  • The proposed model offers a cost-efficient alternative to Monte Carlo simulations and ray tracing.
  • Bézier curves optimized for minimal penumbra standard deviation.
  • B-spline curves achieved minimal penumbra mean.
  • Optimized leaf end shapes closely match clinical MLC designs.

Conclusions:

  • The analytical method provides valuable insights for designing MLC leaf ends.
  • This approach facilitates cost-efficient penumbra evaluation and optimization in radiotherapy planning.