skip to main content
OSTI.GOV title logo U.S. Department of Energy
Office of Scientific and Technical Information

Title: Energy optimization procedure for treatment planning with laser-accelerated protons

Abstract

A simple analytical model is found that predicts the exact proton spectrum needed to obtain a spread-out-Bragg peak (SOBP) distribution for laser-accelerated proton beams. The theory is based on the solution to the Boltzmann kinetic equation for the proton distribution function. The resulting analytical expression allows one to calculate the SOBP proton energy spectra for the different beamlet sizes and modulation depths that can be readily implemented in the calculation of energy and intensity modulated proton dose distributions. Since the practical implementation of energy modulation for proton beams is realized through the discrete superposition of individual Bragg peaks, it is shown that there exists an optimal relationship between the energy sampling size and the width of the initial proton energy distribution.

Authors:
; ; ; ;  [1]
  1. Department of Radiation Oncology, Fox Chase Cancer Center, 333 Cottman Avenue, Philadelphia, Pennsylvania 19111 (United States)
Publication Date:
OSTI Identifier:
20951050
Resource Type:
Journal Article
Resource Relation:
Journal Name: Medical Physics; Journal Volume: 34; Journal Issue: 2; Other Information: DOI: 10.1118/1.2431424; (c) 2007 American Association of Physicists in Medicine; Country of input: International Atomic Energy Agency (IAEA)
Country of Publication:
United States
Language:
English
Subject:
61 RADIATION PROTECTION AND DOSIMETRY; BOLTZMANN EQUATION; BRAGG CURVE; DISTRIBUTION FUNCTIONS; DOSIMETRY; DRUGS; ENERGY SPECTRA; LASERS; MODULATION; OPTIMIZATION; PLANNING; PROTON BEAMS; PROTON SPECTRA; RADIATION DOSE DISTRIBUTIONS; RADIOTHERAPY

Citation Formats

Fourkal, E., Velchev, I., Fan, J., Luo, W., and Ma, C.-M. Energy optimization procedure for treatment planning with laser-accelerated protons. United States: N. p., 2007. Web. doi:10.1118/1.2431424.
Fourkal, E., Velchev, I., Fan, J., Luo, W., & Ma, C.-M. Energy optimization procedure for treatment planning with laser-accelerated protons. United States. doi:10.1118/1.2431424.
Fourkal, E., Velchev, I., Fan, J., Luo, W., and Ma, C.-M. Thu . "Energy optimization procedure for treatment planning with laser-accelerated protons". United States. doi:10.1118/1.2431424.
@article{osti_20951050,
title = {Energy optimization procedure for treatment planning with laser-accelerated protons},
author = {Fourkal, E. and Velchev, I. and Fan, J. and Luo, W. and Ma, C.-M.},
abstractNote = {A simple analytical model is found that predicts the exact proton spectrum needed to obtain a spread-out-Bragg peak (SOBP) distribution for laser-accelerated proton beams. The theory is based on the solution to the Boltzmann kinetic equation for the proton distribution function. The resulting analytical expression allows one to calculate the SOBP proton energy spectra for the different beamlet sizes and modulation depths that can be readily implemented in the calculation of energy and intensity modulated proton dose distributions. Since the practical implementation of energy modulation for proton beams is realized through the discrete superposition of individual Bragg peaks, it is shown that there exists an optimal relationship between the energy sampling size and the width of the initial proton energy distribution.},
doi = {10.1118/1.2431424},
journal = {Medical Physics},
number = 2,
volume = 34,
place = {United States},
year = {Thu Feb 15 00:00:00 EST 2007},
month = {Thu Feb 15 00:00:00 EST 2007}
}