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An efficient adaptive algorithm for photon-electron coupled Boltzmann equation in radiation therapy.

Xilin Zhang1, Peiming Yin2, Xue Hong3

  • 1School of Mathematical Sciences, University of Science and Technology of China, Hefei, Anhui, China.

Journal of Computational Physics
|November 28, 2025
PubMed
Summary
This summary is machine-generated.

We developed an efficient adaptive algorithm for radiation therapy simulations. This method speeds up calculations for photon-electron interactions while maintaining accuracy, benefiting treatment planning.

Keywords:
Adaptive algorithmDiscontinuous Galerkin methodsPhoton-electron coupled Boltzmann equationRadiation transportRadiotherapy

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Area of Science:

  • Computational physics
  • Medical physics
  • Numerical analysis

Background:

  • Radiation therapy requires accurate simulation of photon-electron transport.
  • Existing methods like Monte Carlo can be computationally intensive.
  • Efficient algorithms are needed to improve treatment planning and delivery.

Purpose of the Study:

  • To propose an efficient adaptive algorithm for photon-electron coupled Boltzmann equations.
  • To reduce computational time and degrees of freedom while maintaining accuracy.
  • To enable faster and more precise simulations in radiation therapy.

Main Methods:

  • Employed adaptive mesh technologies for spatial and angular discretization.
  • Utilized an adaptive discontinuous Galerkin scheme for spatial refinement.
  • Implemented high-order angular discretization near the incident direction.

Main Results:

  • The algorithm demonstrated efficiency and accuracy in simulations.
  • Reduced computational time and degrees of freedom compared to traditional methods.
  • Successfully validated against Monte Carlo simulations for various photon beams and media.

Conclusions:

  • The proposed adaptive algorithm is efficient and accurate for radiation therapy simulations.
  • It offers a significant computational advantage for solving Boltzmann equations.
  • This approach can enhance the precision and speed of radiation treatment planning.