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Abstract: In this paper we study a problem in radiotherapy treatment planning, wherethe evolution of the radiation field is governed by a deterministic Boltzmanntransport equation. We show existence, uniqueness and regularity of solutionsto an optimal dose distribution problem constrained by the Boltzmann ContinuousSlowing-Down equation in an appropriate function space. The main new difficultyis the treatment of the stopping power term. Furthermore, we characterizeoptimal controls for problems governed by this transport equation.



Author: Martin Frank, Michael Herty, Albert N. Sandjo

Source: https://arxiv.org/







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