期刊
PHYSICS IN MEDICINE AND BIOLOGY
卷 51, 期 10, 页码 2353-2365出版社
IOP PUBLISHING LTD
DOI: 10.1088/0031-9155/51/10/001
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资金
- NCI NIH HHS [5-P01-CA21239-25, 1-R01-CA103904-01] Funding Source: Medline
- NHLBI NIH HHS [HL70472] Funding Source: Medline
We propose and study a unified model for handling dose constraints (physical dose, equivalent uniform dose (EUD), etc) and radiation source constraints in a single mathematical framework based on the split feasibility problem. The model does not impose on the constraints an exogenous objective (merit) function. The optimization algorithm minimizes a weighted proximity function that measures the sum of the squares of the distances to the constraint sets. This guarantees convergence to a feasible solution point if the split feasibility problem is consistent (i.e., has a solution), or, otherwise, convergence to a solution that minimally violates the physical dose constraints and EUD constraints. We present computational results that demonstrate the validity of the model and the power of the proposed algorithmic scheme.
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