Keywords:
Forschungsbericht
Description / Table of Contents:
Patient motion during treatment is one of the future challenges in the field of external beam radiotherapy. In this paper, we address this problem by considering a timedependent Boltzmann transport model for dose calculation and by deriving closed-loop control laws for the treatment planning problem. We formulate an optimal control problem for the desired dose using boundary and distributed control and derive optimality conditions. For the construction of the closed-loop control laws we use an inexact variant of model predictive control called instantaneous control. We compare numerical results obtained with instantaneous control to those obtained by optimal open-loop control, and present numerical simulations in one and two spatial dimensions.
Type of Medium:
Online Resource
Pages:
Online-Ressource (21 S., 0,99 MB)
,
graph. Darst.
Series Statement:
Hamburger Beiträge zur angewandten Mathematik 2008,5
URL:
http://webdoc.sub.gwdg.de/ebook/serien/e/HBAM/hbam2008-05.pdf
URL:
https://edocs.tib.eu/files/e01fn09/573520011.pdf
URL:
https://edocs.tib.eu/files/e01fn09/573520011l.pdf
Language:
English
Note:
Unterschiede zwischen dem gedruckten Dokument und der elektronischen Ressource können nicht ausgeschlossen werden
,
Systemvoraussetzungen: Acrobat reader.
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