A primal-dual barrier algorithm for the IMRT planning problem
An application of optimization-driven adaptive discretization
Published in December 2008
Book
156 pages
978-3-86664-510-3 (ISBN)
Description
This work was done with the financial support of the Department Optimization of the Fraunhofer Institute for Industrial Mathematics (ITWM).
This page would not exist without the encouragement, patience and trust I received frommany people. Above all, I would like to thankmy supervisor PDDr. habil. Karl-Heinz K¨ufer for introducing me to this research topic. His guidance and perseverance in posing critical questions were substantial for the results I could achieve during my studies. I would also like to thank the project group "Medical Therapy Planning" of the Optimization department at the ITWM.
Thanks to Michael Monz for great hints that always seem to work and good times on the road (Boston and San Francisco rocked!). Thanks to Alexander Scherrer for establishing the theoretical basis of large parts of this work and for much fun on the road (we have yet to see you dance on the table, mate). I also thank the "newbies" in the team, Tabea Grebe and Ivan Serna, for a fun and productive working atmosphere. I am grateful to Volker Maag and AntonWinterfeld for rigorous proof-reads of parts of this thesis, and for various phantoms and zombies (Lemma 2.3.9 is fromthe grave) they helped to create. Thanks also to Martin "Sepp" Berger for helpful suggestions for the structure of this document.
Thanks to Markus just for being there. Also, I would like to thank all the members of the Optimization department for an awesome atmosphere and countless fun events.
I would also like to thank our research partners from the German Cancer ResearchCenter (DKFZ) inHeidelberg. In particular, Dr. Dr. ChristianThieke has been very helpful with the clinical practice of IMRT planning and it has been a pleasure working and publishing with him. Many thanks also to our partners from the Massachusetts General Hospital (MGH) and Harvard Medical School. The many discussions with Prof. Dr.Thomas Bortfeld really helped me to learn about IMRT planning.
Looking back a little further, one of the stops on my journey to Kaiserslautern was the University of Alberta in Edmonton. There, Dr. Erhan Erkut introduced me to Operations Research and later paved the way to the TU Kaiserslautern. EE, thank you for everything - you are an awesome teacher. I would have never considered the move from Business to Mathematics if it had not been for Dr. Tarja Joro: you encouraged me to "go deeper" into the theory of things and I consider it a privilege to have worked with you. Thank you for the books - they still aremy number one reference!Thanks also to Dr. Ignacio Castillo for a great time in classes and supervision of the research project in Fall 2001.
I would like to thank my parents for their support and understanding over the years and for bringingme up towhat I am. Thanks also tomy brother for endless shibby times - past, present and future. Finally, I thank my girlfriend Natalie for her trust, patience and love. You are the pillar in my life.
This page would not exist without the encouragement, patience and trust I received frommany people. Above all, I would like to thankmy supervisor PDDr. habil. Karl-Heinz K¨ufer for introducing me to this research topic. His guidance and perseverance in posing critical questions were substantial for the results I could achieve during my studies. I would also like to thank the project group "Medical Therapy Planning" of the Optimization department at the ITWM.
Thanks to Michael Monz for great hints that always seem to work and good times on the road (Boston and San Francisco rocked!). Thanks to Alexander Scherrer for establishing the theoretical basis of large parts of this work and for much fun on the road (we have yet to see you dance on the table, mate). I also thank the "newbies" in the team, Tabea Grebe and Ivan Serna, for a fun and productive working atmosphere. I am grateful to Volker Maag and AntonWinterfeld for rigorous proof-reads of parts of this thesis, and for various phantoms and zombies (Lemma 2.3.9 is fromthe grave) they helped to create. Thanks also to Martin "Sepp" Berger for helpful suggestions for the structure of this document.
Thanks to Markus just for being there. Also, I would like to thank all the members of the Optimization department for an awesome atmosphere and countless fun events.
I would also like to thank our research partners from the German Cancer ResearchCenter (DKFZ) inHeidelberg. In particular, Dr. Dr. ChristianThieke has been very helpful with the clinical practice of IMRT planning and it has been a pleasure working and publishing with him. Many thanks also to our partners from the Massachusetts General Hospital (MGH) and Harvard Medical School. The many discussions with Prof. Dr.Thomas Bortfeld really helped me to learn about IMRT planning.
Looking back a little further, one of the stops on my journey to Kaiserslautern was the University of Alberta in Edmonton. There, Dr. Erhan Erkut introduced me to Operations Research and later paved the way to the TU Kaiserslautern. EE, thank you for everything - you are an awesome teacher. I would have never considered the move from Business to Mathematics if it had not been for Dr. Tarja Joro: you encouraged me to "go deeper" into the theory of things and I consider it a privilege to have worked with you. Thank you for the books - they still aremy number one reference!Thanks also to Dr. Ignacio Castillo for a great time in classes and supervision of the research project in Fall 2001.
I would like to thank my parents for their support and understanding over the years and for bringingme up towhat I am. Thanks also tomy brother for endless shibby times - past, present and future. Finally, I thank my girlfriend Natalie for her trust, patience and love. You are the pillar in my life.