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Fluence Map Optimization in IMRT Cancer Treatment
Planning and A Geometric Approach
Yin Zhang∗ and Michael Merritt†
July, 2004 (Revised Oct., 2004 and May 2005)
Abstract
Intensity-modulated radiation therapy (IMRT) is a state-of-the-art technique for
administering radiation to cancer patients. The goal of a treatment is to deliver a pre-
scribed amount of radiation to the tumor, while limiting the amount absorbed by the
surrounding healthy and critical organs. Planning an IMRT treatment requires deter-
mining fluence maps, each consisting of hundreds or more beamlet intensities. Since it is
difficult or impossible to deliver a sufficient dose to a tumor without irradiating nearby
critical organs, radiation oncologists have developed guidelines to allow tradeoffs by in-
troducing so-called dose-volume constraints (DVCs), which specify a given percentage
of volume for each critical organ that can be sacrificed if necessary. Such constraints,
however, are of combinatorial nature and pose significant challenges to the fluence map
optimization problem.
The purpose of this paper is two-fold. We try to introduce the IMRT fluence map
optimization problem to a broad optimization audience, with the hope of attracting
more interests in this promising application area. We also propose a geometric approach
to the fluence map optimization problem. Contrary to the traditional view, we treat dose
distributions as primary independent variables and beamlet intensities as secondary. We
present theoretical and preliminary computational results for the proposed approach,
while omitting excessive technical details to maintain an expository nature of the paper.
Key
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