SQP methods for parameter identification problems arising in hyperthermia

Abstract

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.

Keywords:

• Parameter identification
• Optimality conditions
• SQP methods

Acknowledgements

The authors would like to thank J. Gellermann for providing clinical measurement data.