Daniel Ioan Cazacu

• The goal of this research is to study, understand, and robustly model and simulate microwave ablation of liver tumors. This is one of the possible treatments for cancerous tumors that appear in the liver, and there is room for a better understanding and prediction of how such interventions develop, from a mathematical point of view. The areas that could benefit from a more rigorous quantification range from planning of the invasive aspect of the procedure, influence of the vascular system, all the way to predicting the resulting damage in biological tissue. This would ultimately also benefit clinicians, that have much to gain from such results, as it would allow them to plan microwave ablation procedures on a patient-to-patient basis, thus obtaining a better outcome. This research has been done under the supervision of Prof. Dr. Tobias Preußer, Head of Modeling and Simulation at Fraunhofer MEVIS, and Professor of Mathematics at Jacobs University Bremen, as well as Prof. Dr. Marcel Oliver, Professor of Mathematics at Jacobs University Bremen. I have also been supervised by Dr. Hanne Ballhausen and Dr. Torben Pätz, from Fraunhofer MEVIS, throughout various phases of my research.