We investigate the planning of minimally invasive tumor treatments via laser-induced
thermotherapy. The goal is to control the laser in order to obtain an optimal treatment,
e.g. eradicating the tumor, while leaving as much healthy tissue unharmed as possible.
To this end, we define a PDE-constrained optimal control problem. As these problems
are usually computationally expensive, we propose a simplified modeling approach using
reduced-order models. Numerical results illustrate the viability of our approach.