Barrier methods for a control problem from hyperthermia treatment planning

Please always quote using this URN: urn:nbn:de:0297-zib-11567
  • We consider an optimal control problem from hyperthermia treatment planning and its barrier regularization. We derive basic results, which lay the groundwork for the computation of optimal solutions via an interior point path-following method. Further, we report on a numerical implementation of such a method and its performance at an example problem.

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Author:Anton Schiela, Martin WeiserORCiD
Document Type:ZIB-Report
Tag:barrier methods; hyperthermia treatment planning; optimal control
MSC-Classification:49-XX CALCULUS OF VARIATIONS AND OPTIMAL CONTROL; OPTIMIZATION [See also 34H05, 34K35, 65Kxx, 90Cxx, 93-XX] / 49Jxx Existence theories / 49J20 Optimal control problems involving partial differential equations
92-XX BIOLOGY AND OTHER NATURAL SCIENCES / 92Cxx Physiological, cellular and medical topics / 92C50 Medical applications (general)
Date of first Publication:2009/11/18
Series (Serial Number):ZIB-Report (09-36)