A new proton dose algorithm for radiotherapy

Chungchi (Chris) Lee, Purdue University

Abstract

This algorithm recursively propagates the proton distribution in energy, angle and space at one level in an absorbing medium to another, at slightly greater depth, until all the protons are stopped. The angular transition density describing the proton trajectory is based on Moliere's multiple scattering theory and Vavilov's theory of energy loss along the proton's path increment. These multiple scattering and energy loss distributions are sampled using equal probability spacing to optimize computational speed while maintaining calculational accuracy. Nuclear interactions are accounted for by using a simple exponential expression to describe the loss of protons along a given path increment and the fraction of the original energy retained by the proton is deposited locally. Two levels of testing for the algorithm are provided: (1) Absolute dose comparisons with PTRAN Monte Carlo simulations in homogeneous water media. (2) Modeling of a fixed beam line including the scattering system and range modulator and comparisons with measured data in a homogeneous water phantom. The dose accuracy of this algorithm is shown to be within $\pm$5% throughout the range of a 200-MeV proton when compared to measurements except in the shoulder region of the lateral profile at the Bragg peak where a dose difference as large as 11% can be found. The numerical algorithm has an adequate spatial accuracy of 3 mm. Measured data as input is not required.

Degree

Ph.D.

Advisors

Sandison, Purdue University.

Subject Area

Radiation|Radiology

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