Optimization of beam orientations in intensity modulated radiation therapy planning [Elektronische Ressource] / von Ahmad Saher Azizi Sultan

Optimization of BeamOrientations in IntensityModulated Radiation TherapyPlanningVom Fachbereich Mathematikder Technischen Universit¨ at Kaiserslauternzur Erlangung des akademischen GradesDoktor der Naturwissenschaften(Doctor rerum naturalium, Dr. rer. nat.)genehmigteDissertationvonAhmad Saher Azizi SultanErstgutachter:PD Dr. habil. Karl-Heinz Kuf¨ erZweitgutachter:Prof. Dr. Uwe OelfkeDatum der Disputation: 23. Oktober 2006D 386Dedicated to the memory of my first teachers;Prof. Mohammed Ibn Abd-Allahandmy parentsAcknowledgmentsThis work was supported by the department of optimization at the Fraun-hofer Institute for Industrial Mathematics (ITWM).I am deeply indebted to my supervisor PD Dr. habil. Karl-Heinz Kufer¨ forintroducing me to this challenging mathematical topic, his extensive sup-port and guidance. Special thanks are addressed to him and my colleaguesDr. Alexander Lavrov, Dr. Thomas Hanne, Dr. Alexander Scherrer, FernandoAlonso , Michael Monz and Philipp Suess for their supports and fruitful dis-cussions through a long lasting teamwork.I also would like to thank Prof. Dr. Thomas Bortfeld from the MassachusettsGeneral Hospital (MGH) and Harvard Medical School in Boston for his criti-cal remarks, and Prof. Dr. Sven Krumke from the department of optimizationat the university of Kaiserslautern for helpful discussions.