---
abstract: 'We consider an optimization problem for spatial power distribution generated by an array of transmitting elements. Using ultrasound hyperthermia cancer treatment as a motivating example, the signal design problem consists of optimizing the power distribution across the tumor and healthy tissue regions, respectively. The models used in the optimization problem are, however, invariably subject to errors. deposition as well as inefficient treatment. To combat such unknown model errors, we formulate a robust signal design framework that can take the uncertainty into account using a worst-case approach. This leads to a semi-infinite programming (SIP) robust design problem which we reformulate as a tractable convex problem, potentially has a wider range of applications.'
author:
- 'Nafiseh Shariati, Dave Zachariah, Johan Karlsson, Mats Bengtsson'
bibliography:
- 'bibliokthNafis.bib'
title: Robust Optimal Power Distribution for Hyperthermia Cancer Treatment
---

Introduction {#sec:introduction}
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Local hyperthermia is a noninvasive technique for cancer treatment in which targeted body tissue is exposed to high temperatures to damage cancer cells while leaving surrounding tissue unharmed. This technique is used both to kill off cancer cells in tumors and as a means to enhance other treatments such as radiotherapy and chemotherapy. Hyperthermia has the potential to treat many types 