- Open Access
Auto- versus human-driven plan in mediastinal Hodgkin lymphoma radiation treatment
Radiation Oncology volume 13, Article number: 202 (2018)
Technological advances in Hodgkin lymphoma (HL) radiation therapy (RT) by high conformal treatments potentially increase control over organs-at-risk (OARs) dose distribution. However, plan optimization remains a time-consuming task with great operator dependent variability. Purpose of the present study was to devise a fully automated pipeline based on the Pinnacle3 Auto-Planning (AP) algorithm for treating female supradiaphragmatic HL (SHL) patients.
CT-scans of 10 female patients with SHL were considered. A “butterfly” (BF) volumetric modulated arc therapy was optimized using SmartArc module integrated in Pinnacle3 v. 9.10 using Collapsed Cone Convolution Superposition algorithm (30 Gy in 20 fractions). Human-driven (Manual-BF) and AP-BF optimization plans were generated. For AP, an optimization objective list of Planning Target Volume (PTV)/OAR clinical goals was first implemented, starting from a subset of 5 patients used for algorithm training. This list was then tested on the remaining 5 patients (validation set). In addition to the BF technique, the AP engine was applied to a 2 coplanar disjointed arc (AP-ARC) technique using the same objective list. For plan evaluation, dose-volume-histograms of PTVs and OARs were extracted; homogeneity and conformity indices (HI and CI), OARs dose-volume metrics and odds for different toxicity endpoints were computed. Non-parametric Friedman and Dunn tests were used to identify significant differences between groups.
A single AP objective list for SHL was obtained. Compared to the manual plan, both AP-plans offer comparable CIs while AP-ARC also achieved comparable HIs. All plans fulfilled the clinical dose criteria set for OARs: both AP solutions performed at least as good as Manual-BF plan. In particular, AP-ARC outperformed AP-BF in terms of heart sparing involving a lower risk of coronary events and radiation-induced lung fibrosis. Hands-on planning time decreased by a factor of 10 using AP on average.
Despite the high interpatient PTV (size and position) variability, it was possible to set a standard SHL AP optimization list with a high level of generalizability. Using the implemented list, the AP module was able to limit OAR doses, producing clinically acceptable plans with stable quality without additional user input. Overall, the AP engine associated to the arc technique represents the best option for SHL.
Modern radiation therapy (RT) approaches in Hodgkin lymphoma (HL), with lower prescribed doses (20–30 Gy) and smaller irradiated volumes (involved site or involved node), lead to a reduction of organs-at-risk (OARs) exposure . Accordingly, the rates of radiation-induced late toxicity are expected to be lower [2, 3] when compared with older series of successfully treated long term surviving HL patients [4, 5]. In parallel, a considerable effort has been made to identify those HL radiation delivery modalities that increased control over target as well as OAR dose distributions [6,7,8,9,10].
Several, widely available, intensity-modulated radiation therapy (IMRT) planning solutions have been proposed in the literature. Among the different IMRT techniques, the dosimetric advantages of the “butterfly” (BF) technique for female patients with mediastinal HL has been reported [11, 12]. In particular, BF volumetric modulated arc therapy (VMAT) showed high levels of conformation permitting to achieve the most balanced compromise between higher conformation around the target and OAR sparing .
Dose-volume histogram (DVH) predictors and Normal Tissue Complication Probability (NTCP) models developed for HL patient population have supported the planning optimization procedures intended to limit OAR complications. NTCP models have been reported for late side effects such as radiation induced lung damage [13,14,15], hypothyroidism [16, 17], and cardiovascular diseases [2, 18,19,20].
However, plan optimization remains a very time-consuming and operator dependent task. This issue has been addressed by the recent introduction of automated engines in treatment planning (TP) systems in order to create an optimized plan with minimal user interaction. They have proved able to generate IMRT plans of non-inferior or even higher clinical quality compared to human driven plans for many different tumour sites, such as head and neck , prostate [22, 23]and lung . To the best of our knowledge, however, no study investigated the Auto-Planning (AP) algorithm applied to VMAT for supradiaphragmatic HL (SHL) patients.
Given this background, the current study was designed to devise a fully automated pipeline, based on the Pinnacle3 (Philips Radiation Oncology Systems, Fitchburg, WI, USA) AP algorithm, for treating female SHL patients. For 10 female patients AP plans were compared with treatment plans generated by experienced human planners. The different TP solutions were evaluated by quantitative risk estimates based on published models for different toxicity endpoints.
Planning CT-scans of 10 consecutive female patients with SHL (Table 1) in standard supine position were extracted from our clinical database. Involved site clinical target volume (CTV) was defined according to ILROG guidelines  for early stage HL. Planning Target Volume (PTV) was obtained by CTV uniform 10-mm expansion. Target and OARs structures were contoured on free-breathing CT images (voxel size = 0.94 × 0.94 × 5 mm3). The following OARs were contoured: lungs, heart, left ventricle, left anterior descending (LAD) artery, esophagus, spinal cord, breasts and thyroid. Heart and its substructures were contoured according to heart contouring guidelines . All contours were reviewed and approved by one of the authors (M.C.).
A total dose of 30 Gy was prescribed in 1.5 Gy daily fractions for all patients.
Treatment plan optimization
Each patient was purposely planned with an antero-posterior/postero-anterior weighted BF 6 MV photon beams VMAT technique by Pinnacle3 v. 9.10. SmartArc module and Collapsed Cone Convolution Superposition dose calculation algorithm (grid resolution 3 mm) were used. The BF VMAT technique consists of 3 arcs: 2 coplanar arcs, one anterior and one posterior (width ranging from 60° to 100°) and one anterior no-coplanar (couch angle 90°) arc (width ranging from 45° to 60°). Arc width was customized to provide tumour coverage according to patient anatomy. All plans were optimized for a Varian True Beam STx Linac (Varian Medical System, Palo Alto, CA) equipped with a High Definition 120 multileaf collimator (HD120MLC).
For each patient, two different optimization approaches were used: the human-driven optimization (Manual-BF) and the AP optimization (AP-BF), both generated using the same required clinical constraints (Table 2). No constraints were used on the left ventricle and LAD artery.
The Manual-BF plan was generated using planner-dependent definitions of additional guidance contours (inner and outer rings structures for PTV), avoidance structures and associated optimization objectives. The plan was validated by 2 experienced clinical physicists (S.C., C.O.) in consensus.
The AP-BF plan was optimized using Pinnacle3 AP algorithm. In summary, it is a fully integrated module in the TP system which uses a progressive optimization algorithm to continually adjust the optimization objective list set by the user to meet or further decrease OARs doses and related DVH parameters with minimal compromise to PTV coverage, thus simulating the decision-making process of an experienced human planner . Indeed, the AP algorithm iteratively fine-tunes the target coverage and OAR sparing by creating multiple additional structures based both on the relative geometry of originally segmented ROIs and on transient dose distributions. The algorithm automatically assigns dose-volume objectives to the additional ROIs which are added to the standard optimization list .
In addition to the BF technique, the AP engine was applied to a 2 coplanar disjointed arcs (AP-ARC) technique which consists of 2 full co-planar arcs moving clockwise and counter clockwise respectively avoiding the arms.
In the present study, each AP plan was obtained running a single optimization cycle.
AP optimization objective list
The starting point of Pinnacle3 AP optimization procedure is setting a user dependent optimization list of PTV/OAR clinical goals. In order to set a single AP-BF list for SHL with a high level of generalizability, we selected 5 out of 10 patients to be used as a training set. The patient selection criterion was based on nodal disease localization and target size heterogeneity (Table 1). The remaining 5 patients were instead used as a validation set to test the obtained optimization list. In Table 1, PTV characteristics for training and validation patient sets are reported.
For all training set patients, the list was iteratively refined using the algorithm described in Fig. 1 (learning phase). The algorithm was designed to satisfy, first, the tumour-coverage criteria (at least 95% of PTV received at least 95% of prescription dose) and, secondly, the constraints on the OARs of Table 2. To this end, in the algorithm we introduced the concept of “admitted violations”, intended as the maximum number of required objectives not satisfied at the end of an optimization cycle. The admitted violations for the algorithm were PTV V107% > 1% and only one OAR not fulfilling the required dose-volume constrains reported in Table 2.
The list thus obtained was then tested on the validation set for both AP-BF and AP-ARC configurations.
For plan comparison, DVHs of PTVs and OARs were extracted. For each patient, relevant PTV/OAR DVH metrics were analyzed: the percentage volume receiving at least X dose (Vx), near maximum dose (D2%), near minimum dose (D98%), mean (Dmean) and median dose (D50%).
The target coverage was assessed via the conformity index (CI=V95%/PTVvol) and the homogeneity index (HI = [D2%-D98%]/ D50%).
Toxicity risks were calculated according to several NTCP models available in the literature [2, 3, 13, 16, 18,19,20, 27, 28]. NTCP models specifically extrapolated from HL patients’ cohorts were used.
In addition, the number of planned monitor units (MU) and the hands-on planning time were recorded. The hands-on planning time was defined as the time of human interaction with the TP system.
The median and the range were employed to describe all continuous variables and the non-parametric ANOVA (Friedman matched-pairs signed-rank test) was used to determine statistically significant differences (p < 0.05). A posthoc procedure was performed in order to identify significant differences between groups (Dunn’s test).
AP optimization objective list
At the end of the learning phase, we succeeded in implementing a single AP optimization objective list for SHL patients (details in Table 3). This list was subsequently applied, with no further refinement, to the validation set. Each AP plan of the validation set (patients 6–10) fulfilled all PTV/OAR constraints within the admitted violations of the required constraints, i.e. all PTV constraints (except V107%) and constraints on all but one OAR were fulfilled (Table 2 and Fig. 2).
Median target size was 386.9 cc (199.3–559.5 cc). Figure 3 illustrates dose distributions in one representative patient for the three treatment techniques.
Median PTV DVH from the 3 plans were largely overlapping (Fig. 4.A). AP offers comparable coverage of the PTV with the manual plan. CI indices for AP plans were comparable to that of the Manual-BF plan, while AP-BF showed a higher HI compared to both Manual-BF and AP-ARC (Table 4).
Organs at risk
All AP plans fulfilled the clinical dose criteria set for OARs within the admitted violation. Data in Table 4 show that the AP solutions were never outperformed by the manual plans and the AP engine also leads to a general reduction of OARs dose metrics. In particular, AP-ARC was never outperformed by AP-BF, except for lungs V5Gy and breast Dmean, which show a slightly higher sparing provided by AP-BF.
In terms of NTCP, AP engine was always at least as safe as manual planning (Table 5), with the exception of radiation-induced lung fibrosis where AP-BF involved a higher risk compared with manual plan. In particular, comparing AP-ARC and AP-BF, AP –ARC resulted in a lower risk of radiation-induced coronary events and lung fibrosis compared to AP-BF.
The median number of MU were 287.7 (239.6–378.9) for Manual-BF, 267.7 (214.9–382.5) for AP-BF and 375.6 (339.9–456.7) for AP-ARC (p < 0.001; AP-ARC > Manual-BF and AP-BF).
Hands-on planning time by AP decreased by an order of magnitude. The mean computation time (performed on a Server Expert hardware platform 32 GB RAM –http://incenter.medical.philips.com/doclib/getdoc.aspx?func=ll&objid=10925579&objaction=open) for the automated procedures was 25 min (AP-BF) and 40 min (AP-ARC).
The most up-to-date and optimized RT techniques applied to mediastinal HL have demonstrated a significant dose reduction to various sensitive critical structures [10,11,12]. Modern TP systems automate many beam parameters, in particular the beam modulation, via inverse planning computations which create IMRT or VMAT plans so that each treatment plan will result highly customized for each patient. However, the mediastinum remains a critical and complicated target area in HL, due to the heterogeneity of tumour volumes and their position relative to many different important OARs, such as the heart and its substructure or the lungs. As a consequence, HL planning optimization entails a high level of complexity with a wide variation in plan quality that strongly depends on planner skills, as demonstrated for other disease sites by . This issue calls for an additional level of automation in HL RT in order to reduce the inter-operator variability of plan quality. In recent years, different automated treatment planning approaches have been proposed and are commercially available. They show that it is possible to almost fully automate and accelerate this task, improving speed, consistency and quality of RT plans .
One proposed knowledge-based solution relies on the concepts of machine learning and uses a library of historical plans for a given disease site to build a model that can predict achievable DVHs for new patients and guide plan optimization . Another approach instead is based on a multicriteria optimization algorithm which provides a database of Pareto-optimal plans . Pinnacle3 AP algorithm uses an iterative approach of progressive optimization without requiring any prior database of successful plans .
In this study we devised a fully automated pipeline for treating female SHL patients using Pinnacle3 AP. First, we designed a learning phase based on a trial-and-error approach to fit an optimization list that could satisfy a number of dosimetric acceptability criteria on the training set patients (as illustrated in the flowchart of Fig. 1). Then, we applied the obtained optimization list as an input for the AP algorithm on an independent validation set of patients.
On the whole, the analysis of the results on the validation set confirmed the behaviours observed in the training phase (Table 2 and Fig. 2). Namely, AP techniques seemed to favour sparing of healthy tissues over target coverage, in agreement with . In particular, the requirement on PTV V107% ≤ 1% was violated when AP was applied to patients 6, 7 and 8 in the validation set. Indeed, in several patients a plan renormalization was necessary to fulfil the requirement of PTV V95% = 95% at the expense of the target high dose region.
Nonetheless, with AP-ARC technique the V107% was always no more than 5% while higher V107% values (≥ 12%) were obtained with the AP-BF technique. In this regard, AP-ARC proved able to largely reduce the gap between the manually optimized and AP-BF plans, as also reflected by the HIs (Table 4). On the other hand, AP plans naturally succeeded in satisfying OAR requirements, with the exception of the heart mean dose for one training and two validation patients, and thyroid Dmean and V18Gy for one training patient. However, even in those cases AP engine was able to outperform manual optimization.
The quantitative assessment of DVH (Fig. 4 and Table 4) revealed that, as a general rule, AP schemes performed at least as well as the manual approach. For lungs and heart, the dosimetric advantages translated into a significant reduction of morbidity risk estimates (Fig.5 and Table 5). In addition, even when non statistically significant differences were found, the observed trends held for all the evaluated variables.
We have to remark that further refinements of the AP plans could be expected by running more than one AP optimization cycle.
Analogously, a general trend suggested that AP-ARC outperforms AP-BF, with the only exception of lungs V5Gy and breast Dmean which shows a slightly higher sparing provided by AP-BF. The out of phase behavior of the two considered lungs metrics (namely V5Gy and V20Gy) translates into a similar result for estimating the radiation fibrosis risk and reflects the famous conundrum “a lot to a little or a little to a lot” inherent to lungs radiobiology.
The better performances of AP applied to the arc beam settings compared to the well-established “butterfly” technique can be explained by the increased number of beam entries resulting in an augmented number of degrees of freedom that the optimization algorithm can exploit to satisfy the objective list. This point is best demonstrated by the higher homogeneity of the target coverage and by the lower heart doses. In addition, the longer beam-on time for AP-ARC plans (by a factor of about 1.5) is overbalanced by reduced in room times compared to AP-BF plans, which involve a non-coplanar beam. This potentially reduces the immobilization errors and facilitates more comfortable treatments. Of note, no difference between AP-ARC and AP-BF was observed in the non-target tissue mean doses.
Besides, the adoption of the AP algorithm obviously leads to a huge decrease of the hands-on time on the TP system which can be easily quantified in terms of an order of magnitude.
Summing up, the above results prove that we have succeeded in defining a procedure that leads to a fully automation of the TP process for obtaining clinically acceptable SHL plans, despite the high inter-patient target variability (size and position) inherent to the considered disease. The standardization of the treatment is a direct consequence of the automation, thus guaranteeing the quality of treatment delivered in an arbitrary institution independently from the planner’s skills.
Finally, the flowchart devised for setting a single optimization objective list is not tied to the considered disease and, as such, can be applied to any tumour site in order to remove the only operator dependent task left by the Pinnacle3 AP optimization tool.
In this study, we demonstrated the feasibility of a completely automated pipeline based on Pinnacle3 AP for SHL plan optimization. The AP module was able to limit OAR doses, thus producing clinically acceptable plans of high quality without additional user interaction. On the whole, the AP engine associated to the arc technique represented the best option for SHL.
Clinical target volume
Intensity-modulated radiation therapy
Left anterior descending
Normal Tissue Complication Probability
Planning Target Volume
Supradiaphragmatic Hodgkin lymphoma
Volumetric modulated arc therapy
Specht L, Yahalom J, Illidge T, Berthelsen AK, Constine LS, Eich HT, et al. Modern radiation therapy for Hodgkin lymphoma: field and dose guidelines from the international lymphoma radiation oncology group (ILROG). Int J Radiat Oncol Biol Phys. 2014;89(4):854–62.
Cella L, Liuzzi R, Conson M, D'Avino V, Salvatore M, Pacelli R. Multivariate normal tissue complication probability modeling of heart valve dysfunction in Hodgkin lymphoma survivors. Int J Radiat Oncol Biol Phys. 2013;87(2):304–10.
Cella L, Liuzzi R, Conson M, Torre G, Caterino M, De Rosa N, et al. Dosimetric predictors of asymptomatic heart valvular dysfunction following mediastinal irradiation for Hodgkin's lymphoma. Radiother Oncol. 2011;101(2):316–21.
Ng AK, LaCasce A, Travis LB. Long-term complications of lymphoma and its treatment. J Clin Oncol. 2011;29(14):1885–92.
Hodgson DC. Late effects in the era of modern therapy for Hodgkin lymphoma. Hematology Am Soc Hematol Educ Program. 2011;2011:323–9.
Cella L, Conson M, Pressello MC, Molinelli S, Schneider U, Donato V, Orecchia R, Salvatore M, Pacelli R. Hodgkin's lymphoma emerging radiation treatment techniques: trade-offs between late radio-induced toxicities and secondary malignant neoplasms. Radiat Oncol. 2013;8(1):22.
Hoppe BS, Flampouri S, Lynch J, Slayton W, Zaiden R, Li Z, Mendenhall NP. Improving the therapeutic ratio in Hodgkin lymphoma through the use of proton therapy. Oncology (Williston Park). 2012;26(5):456–9 462-455.
Aznar MC, Maraldo MV, Schut DA, Lundemann M, Brodin NP, Vogelius IR, Berthelsen AK, Specht L, Petersen PM. Minimizing late effects for patients with mediastinal Hodgkin lymphoma: deep inspiration breath-hold, IMRT, or both? Int J Radiat Oncol Biol Phys. 2015;92(1):169–74.
Rechner LA, Maraldo MV, Vogelius IR, Zhu XR, Dabaja BS, Brodin NP, Petersen PM, Specht L, Aznar MC. Life years lost attributable to late effects after radiotherapy for early stage Hodgkin lymphoma: the impact of proton therapy and/or deep inspiration breath hold. Radiother Oncol. 2017;125(1):41–7.
Baues C, Marnitz S, Engert A, Baus W, Jablonska K, Fogliata A, Vasquez-Torres A, Scorsetti M, Cozzi L. Proton versus photon DEEP inspiration breath hold technique in patients with hodgkin lymphoma and mediastinal radiation : a PLANNING COMPARISON OF DEEP INSPIRATION BREATH HOLD INTENSITY MODULATION RADIOTHERAPY AND INTENSITY MODULATED PROTON THERAPY. Radiat Oncol. 2018;13(1):122.
Fiandra C, Filippi AR, Catuzzo P, Botticella A, Ciammella P, Franco P, et al. Different IMRT solutions vs. 3D-conformal radiotherapy in early stage Hodgkin's lymphoma: dosimetric comparison and clinical considerations. Radiat Oncol. 2012;7:186.
Voong KR, McSpadden K, Pinnix CC, Shihadeh F, Reed V, Salehpour MR, et al. Dosimetric advantages of a “butterfly” technique for intensity-modulated radiation therapy for young female patients with mediastinal Hodgkin's lymphoma. Radiat Oncol. 2014;9:94.
Cella L, D'Avino V, Palma G, Conson M, Liuzzi R, Picardi M, et al. Modeling the risk of radiation-induced lung fibrosis: irradiated heart tissue is as important as irradiated lung. Radiother Oncol. 2015;117(1):36–43.
Pinnix CC, Smith GL, Milgrom S, Osborne EM, Reddy JP, Akhtari M, et al. Predictors of radiation pneumonitis in patients receiving intensity modulated radiation therapy for Hodgkin and non-Hodgkin lymphoma. Int J Radiat Oncol Biol Phys. 2015;92(1):175–82.
Palma G, Monti S, D'Avino V, Conson M, Liuzzi R, Pressello MC, et al. A voxel-based approach to explore local dose differences associated with radiation-induced lung damage. Int J Radiat Oncol Biol Phys. 2016;96(1):127–33.
Cella L, Liuzzi R, Conson M, DA V, Salvatore M, Pacelli R. Development of multivariate NTCP models for radiation-induced hypothyroidism: a comparative analysis. Radiat Oncol. 2012;7(1):224.
Pinnix CC, Cella L, Andraos TY, Ayoub Z, Milgrom SA, Gunther J, et al. Predictors of hypothyroidism in Hodgkin lymphoma survivors after intensity modulated versus 3-dimensional radiation therapy. Int J Radiat Oncol Biol Phys. 2018;101(3):530–40.
Cella L, Oh JH, Deasy JO, Palma G, Liuzzi R, D'Avino V, et al. Predicting radiation-induced valvular heart damage. Acta Oncol. 2015;54(10):1796–804.
Moignier A, Broggio D, Derreumaux S, Beaudre A, Girinsky T, Paul JF, et al. Coronary stenosis risk analysis following Hodgkin lymphoma radiotherapy: a study based on patient specific artery segments dose calculation. Radiother Oncol. 2015;117(3):467–72.
van Nimwegen FA, Schaapveld M, Cutter DJ, Janus CP, Krol AD, Hauptmann M, et al. Radiation dose-response relationship for risk of coronary heart disease in survivors of Hodgkin lymphoma. J Clin Oncol. 2016;34(3):235–43.
Kusters J, Bzdusek K, Kumar P, van Kollenburg PGM, Kunze-Busch MC, Wendling M, Dijkema T, Kaanders J: Automated IMRT planning in pinnacle : a study in head-and-neck cancer. Strahlenther Onkol 2017, 193(12):1031–1038.
Voet PW, Dirkx ML, Breedveld S, Al-Mamgani A, Incrocci L, Heijmen BJ. Fully automated volumetric modulated arc therapy plan generation for prostate cancer patients. Int J Radiat Oncol Biol Phys. 2014;88(5):1175–9.
Sharfo AWM, Dirkx MLP, Bijman RG, Schillemans W, Breedveld S, Aluwini S, Pos F, Incrocci L, Heijmen BJM. Late toxicity in the randomized multicenter HYPRO trial for prostate cancer analyzed with automated treatment planning. Radiother Oncol. 2018;128(2):349–56.
Della Gala G, Dirkx MLP, Hoekstra N, Fransen D, Lanconelli N, van de Pol M, Heijmen BJM, Petit SF. Fully automated VMAT treatment planning for advanced-stage NSCLC patients. Strahlenther Onkol. 2017;193(5):402–9.
Feng M, Moran JM, Koelling T, Chughtai A, Chan JL, Freedman L, et al. Development and validation of a heart atlas to study cardiac exposure to radiation following treatment for breast cancer. Int J Radiat Oncol Biol Phys. 2011;79(1):10–8.
Gintz D, Latifi K, Caudell J, Nelms B, Zhang G, Moros E, Feygelman V. Initial evaluation of automated treatment planning software. J Appl Clin Med Phys. 2016;17(3):331–46.
Cella L, Liuzzi R, D'Avino V, Conson M, Di Biase A, Picardi M, et al. Pulmonary damage in Hodgkin's lymphoma patients treated with sequential chemo-radiotherapy: predictors of radiation-induced lung injury. Acta Oncol. 2014;53(5):613–9.
Cella L, Palma G, Deasy JO, Oh JH, Liuzzi R, D'Avino V, et al. Complication probability models for radiation-induced heart valvular dysfunction: do heart-lung interactions play a role? PLoS One. 2014;9(10):e111753.
Nelms BE, Robinson G, Markham J, Velasco K, Boyd S, Narayan S, Wheeler J, Sobczak ML. Variation in external beam treatment plan quality: an inter-institutional study of planners and planning systems. Pract Radiat Oncol. 2012;2(4):296–305.
Moore KL, Kagadis GC, McNutt TR, Moiseenko V, Mutic S. Vision 20/20: automation and advanced computing in clinical radiation oncology. Med Phys. 2014;41(1):010901.
Fogliata A, Belosi F, Clivio A, Navarria P, Nicolini G, Scorsetti M, Vanetti E, Cozzi L. On the pre-clinical validation of a commercial model-based optimisation engine: application to volumetric modulated arc therapy for patients with lung or prostate cancer. Radiother Oncol. 2014;113(3):385–91.
Ghandour S, Matzinger O, Pachoud M. Volumetric-modulated arc therapy planning using multicriteria optimization for localized prostate cancer. J Appl Clin Med Phys. 2015;16(3):5410.
We acknowledge Philips for providing the Pinnacle3 Auto-Planning system for evaluation.
Availability of data and materials
The dataset used and analysed during the current study are available from the corresponding author on reasonable request.
Ethics approval and consent to participate
All participants gave written informed consent and the patient data were analyzed anonymously. This study was approved by the local Ethics Committee (Comitato Etico per le Attività Biomediche, Università Federico II, Napoli n.30/17).
Consent for publication
All authors gave their consent for publication.
The authors declare that they have no competing interests.
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