QA474 : New methods for multiobjective optimization and their application in radiotherapy
Thesis > Central Library of Shahrood University > Mathematical Sciences > MSc > 2018
Authors:
Zahra sanaee [Author], Mehrdad Ghaznavi[Supervisor], Somayeh Moghari[Advisor]
Abstarct: Techniques for managing trade-offs between tumour control and normal tissue sparing in radiotherapy treatment planning are reviewed and developed. Firstly, a quality control method baxsed on data envelopment analysis is proposed. The method measures the improvement potential of a plan by comparing the plan to other reference plans. The method considers multiple criteria including one that represents anatomical variations between patients. An application to prostate cases demonstrates the capability of the method in identifying plans with further improvement potential. A multi-criteria baxsed planning technique that considers treatment delivery is then proposed. In multi-criteria optimisation, a single solution that simultaneously optimises all objectives generally does not exist. Instead, a practical approach is to obtain a discrete representation of the non-dominated set satisfying some quality requirements. The method integrates column generation in the revised normal boundary intersection method, which projects a set of equidistant reference points onto the non-dominated set to form a representative set of non-dominated points. The delivery constraints are considered in the column generation process. Essentially, the method generates a set of deliverable plans featuring a range of treatment trade offs. Demonstrated by a prostate case, the method generates near-optimal plans that can be delivered with dramatically lower total fluence than the optimal ones post-processed for treatment delivery constraints.
Keywords:
#Multiobjective optimisation #radiotherapy #non-dominated points Link
Keeping place: Central Library of Shahrood University
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