### Abstract

A numerical algorithm for calculating the mean energy of radiotherapy electron beams has been developed. This algorithm is fast and accurate which makes it suitable for routine clinical use. First, a Gaussian distribution of the electron energy spectrum is derived from the linear Boltzmann equation. Based on this Gaussian spectrum, and after introducing a correction to the CSDA mean energy, a recursive-iterative algorithm for the mean energy calculation is developed. The multiple-scattering correction is taken into account using Yang's pathlength distribution theory. Numerical results of the present algorithm are compared with the results obtained through Monte Carlo simulation as well as Harder's formula. Good agreement with Monte Carlo simulation is achieved. Also the new algorithm is much more accurate than the commonly used empirical formula of Harder.

Original language | English (US) |
---|---|

Pages (from-to) | 487-491 |

Number of pages | 5 |

Journal | Computers in Biology and Medicine |

Volume | 27 |

Issue number | 6 |

DOIs | |

State | Published - Nov 1997 |

### Fingerprint

### Keywords

- Electron beam
- Gaussian spectrum
- Mean energy
- Multiple- scattering
- Radiation therapy

### ASJC Scopus subject areas

- Computer Science Applications

### Cite this

*Computers in Biology and Medicine*,

*27*(6), 487-491. https://doi.org/10.1016/S0010-4825(97)00028-0

**A fast numerical algorithm for electron mean energy calculation in radiation therapy.** / Jiang, Steve B.; Luo, Zheng Ming; Pawlicki, Todd; Ayyangar, Komanduri M.

Research output: Contribution to journal › Article

*Computers in Biology and Medicine*, vol. 27, no. 6, pp. 487-491. https://doi.org/10.1016/S0010-4825(97)00028-0

}

TY - JOUR

T1 - A fast numerical algorithm for electron mean energy calculation in radiation therapy

AU - Jiang, Steve B.

AU - Luo, Zheng Ming

AU - Pawlicki, Todd

AU - Ayyangar, Komanduri M.

PY - 1997/11

Y1 - 1997/11

N2 - A numerical algorithm for calculating the mean energy of radiotherapy electron beams has been developed. This algorithm is fast and accurate which makes it suitable for routine clinical use. First, a Gaussian distribution of the electron energy spectrum is derived from the linear Boltzmann equation. Based on this Gaussian spectrum, and after introducing a correction to the CSDA mean energy, a recursive-iterative algorithm for the mean energy calculation is developed. The multiple-scattering correction is taken into account using Yang's pathlength distribution theory. Numerical results of the present algorithm are compared with the results obtained through Monte Carlo simulation as well as Harder's formula. Good agreement with Monte Carlo simulation is achieved. Also the new algorithm is much more accurate than the commonly used empirical formula of Harder.

AB - A numerical algorithm for calculating the mean energy of radiotherapy electron beams has been developed. This algorithm is fast and accurate which makes it suitable for routine clinical use. First, a Gaussian distribution of the electron energy spectrum is derived from the linear Boltzmann equation. Based on this Gaussian spectrum, and after introducing a correction to the CSDA mean energy, a recursive-iterative algorithm for the mean energy calculation is developed. The multiple-scattering correction is taken into account using Yang's pathlength distribution theory. Numerical results of the present algorithm are compared with the results obtained through Monte Carlo simulation as well as Harder's formula. Good agreement with Monte Carlo simulation is achieved. Also the new algorithm is much more accurate than the commonly used empirical formula of Harder.

KW - Electron beam

KW - Gaussian spectrum

KW - Mean energy

KW - Multiple- scattering

KW - Radiation therapy

UR - http://www.scopus.com/inward/record.url?scp=0031443094&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0031443094&partnerID=8YFLogxK

U2 - 10.1016/S0010-4825(97)00028-0

DO - 10.1016/S0010-4825(97)00028-0

M3 - Article

C2 - 9437550

AN - SCOPUS:0031443094

VL - 27

SP - 487

EP - 491

JO - Computers in Biology and Medicine

JF - Computers in Biology and Medicine

SN - 0010-4825

IS - 6

ER -