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Published online by Cambridge University Press: 05 October 2023
The number of treatment sessions and the doses administered in each of these sessions were the decision variables in all chapters thus far. In practice, these doses are in turn determined by the intensity profile of the radiation field. In this chapter, we study a new, more general class of formulations where these intensity profiles are optimized directly along with the number of treatment sessions. These formulations fall within the realm of spatiotemporally integrated fractionation. They take the form of mixed integer nonconvex nonlinear programs and are computationally intractable to solve exactly. The chapter describes an approximate solution method rooted in solving a sequence of convex linear-quadratic problems. Clinical insights into the resulting treatment plans are derived via computational experiments.
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