Mathematical Models for Optimal Volumetric Modulated Arc Therapy (VMAT) Treatment Planning

Dursun, Pınar; Taşkın, Z. Caner; Altınel, İ. Kuban

doi:10.1016/j.procs.2016.09.206

Cited by 4 publications

(4 citation statements)

References 16 publications

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“…In this section, we briefly explain our proposed mixed integer linear programming (MILP) model for the sake of completeness. Its previous versions are given in our earlier studies in detail (Dursun et al 2016(Dursun et al , 2019a. We start by discretizing some continuous parts of the VMAT planning problem.…”

Section: Mathematical Modelmentioning

confidence: 99%

“…We consider a MILP model that optimizes simultaneously aperture shapes and radiation intensities at control points. Our VMAT planning model, which we call VMATP, is based on our previous works (Dursun et al 2016(Dursun et al , 2019a(Dursun et al , 2019b. It includes CVaR constraints for partial-volume restrictions of all structures, and all treat-ment dose prescriptions are satisfied by the constraints as a result.…”

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confidence: 99%

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A column generation heuristic for VMAT planning with adaptive CVaR constraints

Dursun¹,

Taşkın²,

Altınel³

et al. 2019

Phys. Med. Biol.

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In this study we develop an efficient computational procedure that generates medically acceptable treatment plans for volumetric modulated arc therapy with constant gantry speed. Our proposed method is a column generation heuristic based on a mixed integer linear programming model, where the objective function contains minimization of total monitor unit of the treatment plan and dose-volume requirements are included as conditional value-at-risk constraints. Our heuristic generates a full treatment arc for the restricted master problem and calibrates the right hand side parameters of the conditional value-at-risk constraints in the first phase. In the second phase, this initial solution is improved by performing column generation. This is a fully automated procedure and produces treatment plans in a single call without any human intervention. We evaluate its performance on real prostate cancer data by comparing the quality of the generated plans with those obtained by a widely used commercial treatment planning system. Our analysis shows that the results are promising, and the generated plans satisfy the prescription restrictions and require fewer monitor units on average compared to the ones obtained using Eclipse.

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Section: Mathematical Modelmentioning

confidence: 99%

mentioning

confidence: 99%

A column generation heuristic for VMAT planning with adaptive CVaR constraints

Dursun¹,

Taşkın²,

Altınel³

et al. 2019

Phys. Med. Biol.

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“…In this study, volumetric modulated arc therapy (VMAT) was used to improve the conformity of radiotherapy for large-volume thoracic esophageal cancer and to reduce the V20 and dose (MU) of the whole lung [12]. In addition, in the external irradiation of cervical cancer, VMAT at an energy dose of 6-MV has the best conformation of two-arc therapy, the lowest bladder and rectal doses considering adjacent organs, and reliable radio-physical quality assurance [13,14]. The clinical value of VMAT in the treatment of primary tumors of A-NSCLC was retrospectively analyzed by pairing multicenter analysis and propensity score matching.…”

Section: Introductionmentioning

confidence: 99%

The Therapeutic Value of Volumetric-Modulated Arc Therapy In Advanced Non-Small Cell Lung Cancer Primary Tumors: A Multicenter Retrospective Analysis Based On Propensity Score Matching And Comparison With Intensity-Modulated Radiotherapy

Liu

Wang

et al. 2021

Preprint

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Objective:.To explore the feasibility of volumetric-modulated arc therapy (VMAT) instead of intensity-modulated radiotherapy (IMRT) for primary tumors of advanced non–small-cell lung cancer (A-NSCLC). Methods:.We used propensity score matching (PSM) and multicenter retrospective analysis to study the efficacy and toxicity of VMAT technology in radiotherapy for primary tumors of A-NSCLC.We used the chi-squared test to analyze the response rate(RR), local control (LC), acute radiation injury, and dose-volume parameters; the Kaplan–Meier and log-rank tests were used to determine local-regional progression-free survival (LRPFS) and overall survival (OS). Results: LRPFS was significantly prolonged in stage III patients treated with IMRT before PSM (P< .05) and cases of grade 1 or 2 acute radiation esophagitis (RE) or radiation pneumonia(RP) in the IMRT than the VMAT(P< .05), but cases of grade 3 or 4 RE and RP were not significantly different between the groups (P> .05). Before PSM, there was no significant difference in the LRPFS and OS rates of the whole study group and the RR, LC, and stage IV subgroups, respectively (P> .05). After PSM, there was no significant difference in the RR, LC, LRPFS, OS, RP, or RE of patients treated with VMAT and IMRT (P> .05), normal whole-lung (V5, V20, MLD), heart (V30, V40, MHD), and equal dose-volume parameters were significantly lower in the VMAT group (P< .05).Conclusion:.Radiation therapy of A-NSCLC primary tumors using VMAT can achieve a similar efficacy to that of IMRT but with significantly lower low-dose volume parameters of normal tissues and organs; this is true especially in stage N2 cases, where the reduction in radiation damage may be more favorable.

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“…While the column generation approaches in the literature are fast to converge, they do not allow for a hard limit on the number of apertures to be imposed a priori, which may translate to unreasonably long total treatment times and negligibly small apertures, or a loss in optimality, when it comes to step-and-shoot planning. A framework for creating optimal treatment plans using a constrained number of apertures requires the explicit modeling of clinical and practical constraints in a single optimization model; a task that is just recently being looked at in a dynamic setting [Akartunalı et al, 2015, Dursun et al, 2016], but has not previously been considered in a static setting, to the best of our knowledge.…”

Section: Introductionmentioning

confidence: 99%

Robust Direct Aperture Optimization for Radiation Therapy Treatment Planning

Ripsman,

Purdie,

Chan

et al. 2021

Preprint

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Intensity-modulated radiation therapy (IMRT) allows for the design of customized, highly-conformal treatments for cancer patients. Creating IMRT treatment plans, however, is a mathematically complex process, which is often tackled in multiple, simpler stages. This sequential approach typically separates radiation dose requirements from mechanical deliverability considerations, which may result in suboptimal treatment quality. For patient health to be considered paramount, holistic models must address these plan elements concurrently, eliminating quality loss between stages. This combined direct aperture optimization (DAO) approach is rarely paired with uncertainty mitigation techniques, such as robust optimization, due to the inherent complexity of both parts. This paper outlines a robust DAO (RDAO) model and discusses novel methodologies for efficiently integrating salient constraints. Since the highly-complex RDAO model is difficult to solve, an original candidate plan generation (CPG) heuristic is proposed. The CPG produces rapid, high-quality, feasible plans, which are immediately clinically viable, and can also be used to generate a feasible incumbent solution for warm starting the RDAO model. Computational results obtained using clinical patient datasets with motion uncertainty show the benefit of incorporating the CPG, both in terms of first incumbent solution and final output plan quality.

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Mathematical Models for Optimal Volumetric Modulated Arc Therapy (VMAT) Treatment Planning

Cited by 4 publications

References 16 publications

A column generation heuristic for VMAT planning with adaptive CVaR constraints

A column generation heuristic for VMAT planning with adaptive CVaR constraints

The Therapeutic Value of Volumetric-Modulated Arc Therapy In Advanced Non-Small Cell Lung Cancer Primary Tumors: A Multicenter Retrospective Analysis Based On Propensity Score Matching And Comparison With Intensity-Modulated Radiotherapy

Robust Direct Aperture Optimization for Radiation Therapy Treatment Planning

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