Optimal Constrained Field Focusing for Hyperthermia Cancer Therapy: A Feasibility Assessment on Realistic Phantoms

Microwave hyperthermia is a non-invasive treatment for cancer which exploits a selective heating of tissues induced through focused electromagnetic fields. In order to improve the treatment's efficiency, while minimizing side effects, it is necessary to achieve a constrained focusing of the field radiated by the sources. To address this issue, in this paper we present an innovative and computationally effective approach to the field focusing for hyperthermia. The proposed method, after establishing the number of sources to be used, determines the excitations of the given set of sources such to produce a maximum field in a given region of space subject to a completely arbitrary mask for the field amplitude in all other regions. As the approach relies on a formulation of the problem in terms of convex programming, it is able to achieve the globally optimal solution without the adoption of computationally intensive global optimization procedures. A preliminary assessment of the feasibility is given on hyperthermia therapy of breast cancer by means of numerical examples run on realistic 2D phantoms of female breast.