We investigate two margin-based schemes for optimization target volumes (OTV), both isotropic expansion (2 mm) and beam-specific OTV, to account for uncertainties due to the setup errors and range uncertainties in pancreatic stereotactic pencil beam scanning (PBS) proton therapy. Also, as 2-mm being one of the extreme sizes of margin, we also study whether the plan quality of 2mm uniform expansion could be comparable to other plan schemes. Methods and Materials: We developed 2 schemes for OTV: (1) a uniform expansion of 2 mm (OTV 2mm ) for setup uncertainty and (2) a water equivalent thickness−based, beam-specific expansion (OTV WET ) on beam direction and 2 mm expansion laterally. Six LAPC patients were planned with a prescribed dose of 33 Gy (RBE) in 5 fractions. Robustness optimization (RO) plans on gross tumor volumes, with setup uncertainties of 2 mm and range uncertainties of 3.5%, were implemented as a benchmark. Results: All 3 optimization schemes achieved decent target coverage with no significant difference. The OTV 2mm plans show superior organ at risk (OAR) sparing, especially for proximal duodenum. However, OTV 2mm plans demonstrate severe susceptibility to range and setup uncertainties with a passing rate of 19% of the plans meeting the goal of 95% volume covered by the prescribed dose. The proposed dose spread function analysis shows no significant difference. Conclusions: The use of OTV WET mimics a union volume for all scenarios in robust optimization but saves optimization time noticeably. The beam-specific margin can be attractive to online adaptive stereotactic body proton therapy owing to the efficiency of the plan optimization.
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