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SQP methods for parameter identification problems arising in hyperthermia

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2006

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Gänzler, Tobias
Weiser, Martin

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https://doi.org/10.1080/10556780600877256
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Optimization Methods and Software. 2006, 21(6), pp. 869-887. ISSN 1055-6788. eISSN 1029-4937. Available under: doi: 10.1080/10556780600877256

Zusammenfassung

The paper introduces an identification problem arising in modern regional hyperthermia, a cancer therapy aiming at heating the tumor by microwave radiation. The task is to identify the highly individual perfusion, which affects the resulting temperature distribution, from magnetic resonance measurements. The identification problem is formulated as an optimization problem. Existence of a solution and optimality conditions are analyzed. For the numerical solution, an SQP method is used. Sufficient conditions for the convergence of the method are derived. Finally, numerical examples on artificial as well as clinical data are presented.

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510 Mathematik

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ISO 690GÄNZLER, Tobias, Stefan VOLKWEIN, Martin WEISER, 2006. SQP methods for parameter identification problems arising in hyperthermia. In: Optimization Methods and Software. 2006, 21(6), pp. 869-887. ISSN 1055-6788. eISSN 1029-4937. Available under: doi: 10.1080/10556780600877256
BibTex
@article{Ganzler2006-12metho-41202,
  year={2006},
  doi={10.1080/10556780600877256},
  title={SQP methods for parameter identification problems arising in hyperthermia},
  number={6},
  volume={21},
  issn={1055-6788},
  journal={Optimization Methods and Software},
  pages={869--887},
  author={Gänzler, Tobias and Volkwein, Stefan and Weiser, Martin}
}
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