PMID- 24007135 OWN - NLM STAT- MEDLINE DCOM- 20140321 LR - 20211021 IS - 2473-4209 (Electronic) IS - 0094-2405 (Print) IS - 0094-2405 (Linking) VI - 40 IP - 9 DP - 2013 Sep TI - Simultaneous optimization of dose distributions and fractionation schemes in particle radiotherapy. PG - 091702 LID - 10.1118/1.4816658 [doi] LID - 091702 AB - PURPOSE: The paper considers the fractionation problem in intensity modulated proton therapy (IMPT). Conventionally, IMPT fields are optimized independently of the fractionation scheme. In this work, we discuss the simultaneous optimization of fractionation scheme and pencil beam intensities. METHODS: This is performed by allowing for distinct pencil beam intensities in each fraction, which are optimized using objective and constraint functions based on biologically equivalent dose (BED). The paper presents a model that mimics an IMPT treatment with a single incident beam direction for which the optimal fractionation scheme can be determined despite the nonconvexity of the BED-based treatment planning problem. RESULTS: For this model, it is shown that a small alpha∕beta ratio in the tumor gives rise to a hypofractionated treatment, whereas a large alpha∕beta ratio gives rise to hyperfractionation. It is further demonstrated that, for intermediate alpha∕beta ratios in the tumor, a nonuniform fractionation scheme emerges, in which it is optimal to deliver different dose distributions in subsequent fractions. The intuitive explanation for this phenomenon is as follows: By varying the dose distribution in the tumor between fractions, the same total BED can be achieved with a lower physical dose. If it is possible to achieve this dose variation in the tumor without varying the dose in the normal tissue (which would have an adverse effect), the reduction in physical dose may lead to a net reduction of the normal tissue BED. For proton therapy, this is indeed possible to some degree because the entrance dose is mostly independent of the range of the proton pencil beam. CONCLUSIONS: The paper provides conceptual insight into the interdependence of optimal fractionation schemes and the spatial optimization of dose distributions. It demonstrates the emergence of nonuniform fractionation schemes that arise from the standard BED model when IMPT fields and fractionation scheme are optimized simultaneously. Although the projected benefits are likely to be small, the approach may give rise to an improved therapeutic ratio for tumors treated with stereotactic techniques to high doses per fraction. FAU - Unkelbach, Jan AU - Unkelbach J AD - Department of Radiation Oncology, Massachusetts General Hospital and Harvard Medical School, Boston, Massachusetts 02114, USA. junkelbach@partners.org FAU - Zeng, Chuan AU - Zeng C FAU - Engelsman, Martijn AU - Engelsman M LA - eng GR - C06 CA059267/CA/NCI NIH HHS/United States PT - Journal Article PT - Research Support, N.I.H., Extramural PL - United States TA - Med Phys JT - Medical physics JID - 0425746 SB - IM MH - *Dose Fractionation, Radiation MH - Humans MH - Neoplasms/radiotherapy MH - Proton Therapy/*methods MH - Radiotherapy Planning, Computer-Assisted MH - Radiotherapy, Intensity-Modulated/*methods MH - Time Factors PMC - PMC3751965 EDAT- 2013/09/07 06:00 MHDA- 2014/03/22 06:00 PMCR- 2014/09/01 CRDT- 2013/09/07 06:00 PHST- 2013/09/07 06:00 [entrez] PHST- 2013/09/07 06:00 [pubmed] PHST- 2014/03/22 06:00 [medline] PHST- 2014/09/01 00:00 [pmc-release] AID - 008309MPH [pii] AID - 10.1118/1.4816658 [doi] PST - ppublish SO - Med Phys. 2013 Sep;40(9):091702. doi: 10.1118/1.4816658.