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Research Article| Volume 108, 102569, April 2023

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Does variable RBE affect toxicity risks for mediastinal lymphoma patients? NTCP-based evaluation after proton therapy treatment

Published:March 27, 2023DOI:https://doi.org/10.1016/j.ejmp.2023.102569

      Highlights

      • We estimated toxicity risks for 10 mediastinal lymphoma (ML) patients.
      • Patients were treated with intensity modulated proton therapy at our institute.
      • Published NTCP models for thyroid, heart and lung toxicities were employed.
      • Toxicity risks were calculated with both constant (i.e. 1.1) and variable RBE.
      • NTCP based on variable RBE could contribute to efficient patient allocation.

      Abstract

      Introduction

      Mediastinal lymphoma (ML) is a solid malignancy affecting young patients. Modern combined treatments allow obtaining good survival probability, together with a long life expectancy, and therefore with the need to minimize treatment-related toxicities. We quantified the expected toxicity risk for different organs and endpoints in ML patients treated with intensity-modulated proton therapy (IMPT) at our centre, accounting also for uncertainties related to variable RBE.

      Methods

      Treatment plans for ten ML patients were recalculated with a TOPAS-based Monte Carlo code, thus retrieving information on LET and allowing the estimation of variable RBE. Published NTCP models were adopted to calculate the toxicity risk for hypothyroidism, heart valve defects, coronary heart disease and lung fibrosis. NTCP was calculated assuming both constant (i.e. 1.1) and variable RBE. The uncertainty associated with individual radiosensitivity was estimated by random sampling α/β values before RBE evaluation.

      Results

      Variable RBE had a minor impact on hypothyroidism risk for 7 patients, while it led to significant increase for the remaining three (+24% risk maximum increase). Lung fibrosis was slightly affected by variable RBE, with a maximum increase of ≅ 1%. This was similar for heart valve dysfunction, with the exception of one patient showing an about 10% risk increase, which could be explained by means of large heart volume and D1 increase.

      Discussion

      The use of NTCP models allows for identifying those patients associated with a higher toxicity risk. For those patients, it might be worth including variable RBE in plan evaluation.

      1. Introduction

      Mediastinal lymphoma (ML) is a type of malignancy affecting young patients. Modern combined treatments allow obtaining a good survival and a long life expectancy [
      • Ricardi U.
      • Maraldo M.V.
      • Levis M.
      • Parikh R.R.
      Proton therapy for lymphomas: current state of the art.
      ]. Consequently, aiming at preserving a good life quality, concerns are raised associated with medium- and long-term treatment-related toxicity risks.
      ML treatment protocols often include radiotherapy in combination with chemotherapy. In this context, the major concerns are associated with the dose released to the heart and to the lungs, as well as to the thyroid. Modern photon radiotherapy techniques (i.e. intensity-modulated radiotherapy, IMRT) allow significantly improved sparing of such organs at risk (OARs) compared to the past. Pencil beam scanning proton therapy (PT) represents nowadays an additional treatment option for those patients, especially in selected cases that turn out more challenging for IMRT [

      Taparra K, Lester SC, Harmsen WS, Petersen M, Funk RK, Blanchard MJ, et al. Reducing Heart Dose with Protons and Cardiac Substructure Sparing for Mediastinal Lymphoma Treatment. Int J Part Ther 2020;7:1–12. 10.14338/IJPT-20-00010.1.

      ,
      • Chang J.Y.
      • Zhang X.
      • Knopf A.
      • Li H.
      • Mori S.
      • Dong L.
      • et al.
      Consensus Guidelines for Implementing Pencil-Beam Scanning Proton Therapy for Thoracic Malignancies on Behalf of the PTCOG Thoracic and Lymphoma Subcommittee.
      ]. In fact, the higher spatial selectivity offered by protons’ depth-dose profile translates into an enhanced OAR sparing potential. Consequently, depending on the anatomy of the patient and location of the target, those cases might be identified for which PT would result in a substantial sparing of sensitive OARs compared to IMRT. For instance, ML patients with a target spanning the right or both sides of the heart could fall in this category [
      • Dabaja B.S.
      • Hoppe B.S.
      • Plastaras J.P.
      • Newhauser W.
      • Rosolova K.
      • Flampouri S.
      • et al.
      Proton therapy for adults with mediastinal lymphomas: the International Lymphoma Radiation Oncology Group guidelines.
      ].
      Despite the potential advantages offered by PT in selected ML cases, a limited number of studies are available, mainly focusing on dosimetric aspects [
      • Tseng Y.D.
      • Maes S.M.
      • Kicska G.
      • Sponsellor P.
      • Traneus E.
      • Wong T.
      • et al.
      Comparative photon and proton dosimetry for patients with mediastinal lymphoma in the era of Monte Carlo treatment planning and variable relative biological effectiveness.
      ,
      • Scorsetti M.
      • Cozzi L.
      • Navarria P.
      • Fogliata A.
      • Rossi A.
      • Franceschini D.
      • et al.
      Intensity modulated proton therapy compared to volumetric modulated arc therapy in the irradiation of young female patients with hodgkin’s lymphoma. Assessment of risk of toxicity and secondary cancer induction.
      ]. However, according to the modern criteria for patient-allocation, a more appropriate patient selection should span from accompanying dosimetric data with toxicity risks, supported by the use of normal tissue complication probability (NTCP) models [
      • Blanchard P.
      • Wong A.J.
      • Gunn G.B.
      • Garden A.S.
      • Mohamed A.S.R.
      • Rosenthal D.I.
      • et al.
      Toward a model-based patient selection strategy for proton therapy: External validation of photon-derived normal tissue complication probability models in a head and neck proton therapy cohort.
      ,
      • Boersma L.J.
      • Sattler M.G.A.
      • Maduro J.H.
      • Bijker N.
      • Essers M.
      • van Gestel C.M.J.
      • et al.
      Model-based selection for proton therapy in breast cancer: development of the national indication protocol for proton therapy and first clinical experiences.
      ]. Most NTCP models are typically non-linear sigmoid functions of one or more parameters, thus it is not granted that a significant dose sparing would also result in a significantly lower toxicity risk [
      • Langendijk J.A.
      • Lambin P.
      • De Ruysscher D.
      • Widder J.
      • Bos M.
      • Verheij M.
      Selection of patients for radiotherapy with protons aiming at reduction of side effects: the model-based approach.
      ]. An exception is represented by linear models, which also have been proposed in the past [
      • Darby S.C.
      • Ewertz M.
      • McGale P.
      • Bennet A.M.
      • Blom-Goldman U.
      • Brønnum D.
      • et al.
      Risk of ischemic heart disease in women after radiotherapy for breast cancer.
      ,
      • Taylor C.
      • Correa C.
      • Duane F.K.
      • Aznar M.C.
      • Anderson S.J.
      • Bergh J.
      • et al.
      Estimating the risks of breast cancer radiotherapy: evidence from modern radiation doses to the lungs and heart and from previous randomized trials.
      ].
      For patients receiving PT the question has been raised whether NTCP evaluation should take into account protons’ relative biological effectiveness (RBE, i.e. the ratio of photon to proton doses that are needed to observe the same biological effect [
      • Tommasino F.
      • Durante M.
      ]). While a constant RBE = 1.1 is currently adopted in PT (i.e. protons are assumed to be always 10% more effective than photons), it is known from radiobiology that RBE differ from such constant value, depending on a number of physical (e.g. dose, LET [linear energy transfer], fractionation) and biological (e.g. endpoint, oxygenation) parameters. Different models have been proposed to describe such variable RBE (detailed reviews can be found in [
      • Rørvik E.
      • Fjæra L.F.
      • Dahle T.J.
      • Dale J.E.
      • Engeseth G.M.
      • Stokkevåg C.H.
      • et al.
      Exploration and application of phenomenological RBE models for proton therapy.
      ,
      • McNamara A.
      • Willers H.
      • Paganetti H.
      Modelling variable proton relative biological effectiveness for treatment planning.
      ]), and several papers analysed the potential impact of RBE variations on NTCP estimation for different target localizations [
      • Tilly N.
      • Johansson J.
      • Isacsson U.
      • Medin J.
      • Blomquist E.
      • Grusell E.
      • et al.
      The influence of RBE variations in a clinical proton treatment plan for a hypopharynx cancer.
      ,
      • Ödén J.
      • Toma-Dasu I.
      • Eriksson K.
      • Flejmer A.M.
      • Dasu A.
      The influence of breathing motion and a variable relative biological effectiveness in proton therapy of left-sided breast cancer.
      ,
      • Paganetti H.
      Relating the proton relative biological effectiveness to tumor control and normal tissue complication probabilities assuming interpatient variability in α/β.
      ,
      • Pedersen J.
      • Petersen J.B.B.
      • Stokkevåg C.H.
      • Ytre-Hauge K.S.
      • Flampouri S.
      • Li Z.
      • et al.
      Biological dose and complication probabilities for the rectum and bladder based on linear energy transfer distributions in spot scanning proton therapy of prostate cancer.
      ,
      • Marteinsdottir M.
      • Paganetti H.
      Applying a variable relative biological effectiveness (RBE) might affect the analysis of clinical trials comparing photon and proton therapy for prostate cancer.
      ,
      • Marteinsdottir M.
      • Wang C.-C.
      • McNamara A.
      • Depauw N.
      • Shin J.
      • Paganetti H.
      The impact of variable relative biological effectiveness in proton therapy for left-sided breast cancer when estimating normal tissue complications in the heart and lung.
      ,
      • Chen Y.
      • Grassberger C.
      • Li J.
      • Hong T.S.
      • Paganetti H.
      Impact of potentially variable RBE in liver proton therapy.
      ]. Recently, different groups tried to identify RBE effects in treated patients. Advanced imaging techniques and voxel-level analysis were adopted trying to find an association between variable RBE and image changes, with discordant results [
      • Bahn E.
      • Bauer J.
      • Harrabi S.
      • Herfarth K.
      • Debus J.
      • Alber M.
      Late contrast enhancing brain lesions in proton-treated patients with low-grade glioma: clinical evidence for increased periventricular sensitivity and variable RBE.
      ,
      • Eulitz J.G.C.
      • Troost E.
      • Klünder L.
      • Raschke F.
      • Hahn C.
      • Schulz E.
      • et al.
      Increased relative biological effectiveness and periventricular radiosensitivity in proton therapy of glioma patients.
      ,
      • Niemierko A.
      • Schuemann J.
      • Niyazi M.
      • Giantsoudi D.
      • Maquilan G.
      • Shih H.A.
      • et al.
      Brain necrosis in adult patients after proton therapy: is there evidence for dependency on linear energy transfer?.
      ,
      • Garbacz M.
      • Cordoni F.G.
      • Durante M.
      • Gajewski J.
      • Kisielewicz K.
      • Krah N.
      • et al.
      Study of relationship between dose, LET and the risk of brain necrosis after proton therapy for skull base tumors.
      ]. Overall, those works support the need to start including variable RBE in the clinics, at least for plan evaluation [
      • Paganetti H.
      • Niemierko A.
      • Ancukiewicz M.
      • Gerweck L.E.
      • Goitein M.
      • Loeffler J.S.
      • et al.
      Relative biological effectiveness (RBE) values for proton beam therapy.
      ,
      • Paganetti H.
      Relative biological effectiveness (RBE) values for proton beam therapy. Variations as a function of biological endpoint, dose, and linear energy transfer.
      ,
      • Sørensen B.S.
      • Pawelke J.
      • Bauer J.
      • Burnet N.G.
      • Dasu A.
      • Høyer M.
      • et al.
      Does the uncertainty in relative biological effectiveness affect patient treatment in proton therapy?.
      ].
      Here we present the results of an NTCP study on ML patients treated with pencil beam scanning intensity-modulated proton therapy (IMPT) at our centre. NTCP models for thyroid, heart and lung toxicity were employed to attribute a risk to each patient. This was done both assuming both constant (i.e. 1.1) and variable RBE. Variations in terms of sensitivity to fractionation are also taken into account by repeated random sampling α/β values for each patient. For each patient, results in terms of absolute NTCP and NTCP variation due to variable RBE are presented.

      2. Methods

      2.1 Patients and treatment planning

      Ten patients (3 male and 7 female, median age 31 ± 10 years old, ranging from 15 to 49 years old) affected by ML who underwent PT treatment, were included in the study. Those patients correspond to the last ten 10 ML treated at our institution without boost when this study started. All patients were treated according to international lymphoma radiation oncology group guidelines after induction chemotherapy regimens [
      • Dabaja B.S.
      • Hoppe B.S.
      • Plastaras J.P.
      • Newhauser W.
      • Rosolova K.
      • Flampouri S.
      • et al.
      Proton therapy for adults with mediastinal lymphomas: the International Lymphoma Radiation Oncology Group guidelines.
      ,
      • Specht L.
      • Yahalom J.
      • Illidge T.
      • Berthelsen A.K.
      • Constine L.S.
      • Eich H.T.
      • et al.
      Modern radiation therapy for Hodgkin lymphoma: field and dose guidelines from the international lymphoma radiation oncology group (ILROG).
      ]. Patients’ and treatment characteristics are reported in Table 1.
      Table 1Overview of treatment characteristics for the ten patients included in the analysis.
      PzAgeM/FFractionationTotal Dose (Gy(RBE))Target locationVolume (cm3)Beam arrangement
      137M2,0 Gy(RBE) × 20 Fr40,0M + Left LC199G0*, G20*
      249MSIB 1,8 Gy-2,0 Gy(RBE) × 20 Fr40,0M + Right LC281G0*, G20*
      327F2,0 Gy(RBE) × 15 Fr30,0M + Left LC + RC329G10*, G150, G170, G350*
      430F2,0 Gy(RBE) × 15 Fr30,0M + Right LC + B SC253G15*, G345*, G180
      519F2,0 Gy(RBE) × 15 Fr30,0M + Left LC294G0*, G180, G335*
      632FSIB 1,8 Gy(RBE)-2,0 Gy(RBE) × 20 Fr40,0M324G15*, G345*
      728M2,0 Gy(RBE) × 15 Fr30,0M + B LC + Right SC384G15*, G345*, G180
      841F1,8 Gy(RBE) × 20 Fr36,0M78G15*, G350*
      915F1,8 Gy(RBE) × 20 Fr19,8M + B SC269G15*, G165, G195, G345*
      1027F2,0 Gy(RBE) × 15 Fr30,0M221G15*, G345*
      M = mediastinum; LC = latero-cervical lymph nodes; B = bilateral; RC = retrocardiac lymph node; SC = supraclavicular lymph nodes; * beams with range-shifter and “split” technique.
      Details on the treatment planning procedure were provided elsewhere [
      • Righetto R.
      • Fracchiolla F.
      • Widesott L.
      • Lorentini S.
      • Dionisi F.
      • Rombi B.
      • et al.
      Technical challenges in the treatment of mediastinal lymphomas by proton pencil beam scanning and deep inspiration breath-hold.
      ]. In summary, all patients were treated in a supine position in deep inspiration breath-hold (DIBH). An active breathing coordinator (ABC) system (Elekta Instrument AB, Stockholm, Sweden) was employed, allowing forced breath-hold. On the DIBH simulation CT, two anterior-oblique fields were employed for the treatment of mediastinum, with one or two additional posterior beams when it was required due to posterior extension of the target and/or to contribute to the irradiation of the cervical nodes (details on beam arrangement are reported in Table 1). The average target size was 263 ± 84 cm3 (range 78–384 cm3). Multi-field optimization was planned with the Raystation (Raystation V9B, RaySearch Laboratories, Sweden) treatment planning system. A Monte Carlo engine was used for both optimization and final dose calculation. A dose grid of 2 × 2 × 2 mm3 was employed. Each plan was planned by min–max robust optimization, with 3.5% range and 6 mm setup uncertainties, to guarantee target coverage by the 95% isodose in the worst-case scenarios.

      2.2 LET and variable RBE model

      Variable RBE was calculated with the parametric model proposed by McNamara et al [
      • McNamara A.L.
      • Schuemann J.
      • Paganetti H.
      A phenomenological relative biological effectiveness (RBE) model for proton therapy based on all published in vitro cell survival data.
      ], according to which RBE is a function of fraction dose, dose-average LET and α/β. For this purpose, the nominal plans were recalculated with a previously in-house validated Monte Carlo code [
      • Fracchiolla F.
      • Lorentini S.
      • Widesott L.
      • Schwarz M.
      Characterization and validation of a Monte Carlo code for independent dose calculation in proton therapy treatments with pencil beam scanning.
      ] based on TOPAS [
      • Perl J.
      • Shin J.
      • Schümann J.
      • Faddegon B.
      • Paganetti H.
      TOPAS: an innovative proton Monte Carlo platform for research and clinical applications.
      ] (TOPAS version 3.7). This allowed retrieving the dose-average LET information at a single-voxel level. In line with the recent recommendations [
      • Kalholm F.
      • Grzanka L.
      • Traneus E.
      • Bassler N.
      A systematic review on the usage of averaged LET in radiation biology for particle therapy.
      ,
      • Hahn C.
      • Ödén J.
      • Dasu A.
      • Vestergaard A.
      • Fuglsang Jensen M.
      • Sokol O.
      • et al.
      Towards harmonizing clinical linear energy transfer (LET) reporting in proton radiotherapy: a European multi-centric study.
      ], we report that the LET is obtained by means of a volumetric scoring with the standard TOPAS scorer, according to which the LET is calculated by dividing the energy deposited by the step length. A scaling to take into account the density of each voxel as retrieved from CT imaging is also performed. The α/β ratio reflects the different sensitivities of cells to fractionation, and a large range of possible α/β values has been reported [
      • Friedrich T.
      • Scholz U.
      • Elsässer T.
      • Durante M.
      • Scholz M.
      Systematic analysis of RBE and related quantities using a database of cell survival experiments with ion beam irradiation.
      ]. To account for the model sensitivity to this parameter [
      • Rørvik E.
      • Fjæra L.F.
      • Dahle T.J.
      • Dale J.E.
      • Engeseth G.M.
      • Stokkevåg C.H.
      • et al.
      Exploration and application of phenomenological RBE models for proton therapy.
      ], a procedure was set up for a random sampling of α/β values. Few literature data are available concerning linear-quadratic dose–response curves for the OARs and endpoints of interest. Accounting for the scarcity of data and for the fluctuations observed, we attributed a mean α/β = 3 Gy to the three OARs. A standard deviation of 1.5 Gy was estimated from confidence intervals available in the literature [
      • SørM B.
      Quantitative clinical radiobiology.
      ,
      • Bentzen M.
      • Skoczylas J.Z.
      • Ber J.
      Quantitative clinical radiobiology of early and late lung reactions.
      ]. The sampling distribution was then truncated bilaterally to zero, to avoid negative α/β values [
      • Marteinsdottir M.
      • Wang C.-C.
      • McNamara A.
      • Depauw N.
      • Shin J.
      • Paganetti H.
      The impact of variable relative biological effectiveness in proton therapy for left-sided breast cancer when estimating normal tissue complications in the heart and lung.
      ]. For each patient, the random sampling procedure was repeated 1000 times. For each run, a variable RBE dose was obtained according to the sampled α/β, and the corresponding NTCP was computed.

      2.3 NTCP analysis

      NTCP models available from the literature were employed to attribute toxicity risks to every single patient. For consistency, among the several published models for thoracic OARs, we selected those derived from lymphoma patients. Three different logistic models were adopted to evaluate NTCP for hypothyroidism [
      • Cella L.
      • Liuzzi R.
      • Conson M.
      • D’Avino V.
      • Salvatore M.
      • Pacelli R.
      Development of multivariate NTCP models for radiation-induced hypothyroidism: a comparative analysis.
      ], heart valve dysfunction [
      • 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.
      ] and lung fibrosis [
      • 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.
      ]. The linear model for coronary heart disease (CHD) proposed by van Nimwegen was also employed [
      • van Nimwegen F.A.
      • Schaapveld M.
      • Cutter D.J.
      • Janus C.P.M.
      • Krol A.D.G.
      • Hauptmann M.
      • et al.
      Radiation dose-response relationship for risk of coronary heart disease in survivors of hodgkin lymphoma.
      ], assuming that the relative risk (expressed as rate ratio, i.e. the ratio between the number of patients reporting toxicity when receiving a given dose and patients not receiving radiotherapy) increases as a linear function of the mean heart dose (MHD). Details on model parameters are reported in Supplementary Table S1.
      For each patient, NTCP values for the selected OARs and endpoints were calculated for the nominal plan as well as accounting for variable RBE. For the latter, results are summarised using box plots, reflecting how variations in radiosensitivity (i.e., a different α/β value) affect the variable RBE dose and thus the toxicity risk. Additionally, a ΔNTCP (i.e. NTCPvarRBE - NTCP1.1) was calculated. NTCP is reported in the following as percentage points.

      2.4 Replanning strategy

      For one patient (patient 6) we investigated a different planning strategy, trying to mitigate the risk of heart toxicity, which was well above average as better described in the following. According to the specific NTCP model adopted, the heart D1 is the only parameter that could be modified by the planning. To this purpose, we calculated two additional plans for this patient, by including an objective in the cost function, in order to reduce the heart D1, without compromising target coverage. Replan 2 differs from Replan 1 only for a higher weight to the new objective.

      3. Results

      Dosimetric parameters were analysed for the three OARs of interest. Fig. 1 shows average dose and LET values for thyroid, heart and left lung, calculated for the 10 patients included in the study. The boxplots indicate that both higher average dose and inter-patient variability are associated with thyroid compared to lung and heart. In terms of LET, the highest values with a median of about 3 keV/μm are again observed for thyroid. LET is on average lower for the heart and left lung, but it shows larger variability among patients.
      Figure thumbnail gr1
      Fig. 1Boxplot summarizing the distribution of average dose (left) and LET (right) for the ten patients included in the study, for the three selected OARs. For each patient, the average dose and LET associated with the nominal plan have been calculated by considering all voxels belonging to the selected ROI. The boxplots have been obtained based on the 10 patients included in the study, and thus show inter-patient variability in the parameters of interest.
      The dosimetric parameters employed for NTCP calculations are reported in Table 2. The results of the NTCP analysis are collected in Fig. 2. For each patient, the NTCP associated with the nominal plan is shown (circles), together with the NTCP resulting from variable RBE (boxplots). Concerning the thyroid (Fig. 2A), we observe that, for 7 over 10 patients, variable RBE has minor to no impact on the risk of hypothyroidism. For some patients (i.e. ID 6, 8, 9, 10) there is no increase due to variable RBE, while nominal plans are associated with the same NTCP value. These are in fact female patients, for which the NTCP model predicts a higher baseline risk compared to males. At the same time, the dosimetric parameter of the NTCP model (i.e. thyroid V30) is zero both for nominal and variable RBE plans (Table 1), leaving unaffected the baseline NTCP. A significant effect of variable RBE is instead registered in patients 3, 4 and 5 (again female patients). Fig. 3 reports the dose distribution with constant and variable RBE for one of these patients (i.e. patient 4), together with the thyroid DVH and LVH (LET-volume histogram).
      Table 2Summary of dosimetric parameters obtained for each patient with constant and variable RBE. For the latter, the uncertainty is also reported, expressed as the standard deviation calculated as a result of the random sampling procedure.
      Pt IdxSexHeart Vol (cc)Lung Vol (cc)V30 Thyroid (%)D1 Heart (Gy(RBE))M30 Heart (%)V5 Lung (%)D mean Heart (Gy(RBE))
      NominalvRBENominalvRBENominalvRBENominalvRBENominalvRBE
      1M58453196.210.5 (3.0)33.937.2 (0.7)0.0180.023 (0.001)16.117.3 (0.9)1.581.85 (0.07)
      2M373730232.436.8 (4.5)36.042.1 (1.1)0.0210.031 (0.002)15.016.7 (1.3)1.692.15 (0.08)
      3F36940757.526.3 (7.1)30.134.9 (0.8)0.0110.065 (0.003)23.025.0 (1.2)3.213.96 (1.12)
      4F471453438.453.4 (5.1)29.833.4 (0.8)0.0080.043 (0.005)21.724.1 (1.5)2.903.51 (0.13)
      5F345355621.247.0 (5.0)29.532.9 (0.8)0.0040.038 (0.005)31.435.4 (2.1)3.453.99 (0.13)
      6F626437500.06 (0.12)39.442.9 (0.9)0.0610.079 (0.004)33.136.7 (1.4)4.585.32 (0.18)
      7M46770981.916.3 (7.8)29.733.4 (0.9)0.0070.025 (0.002)14.616.5 (1.0)1.782.19 (0.10)
      8F521401600 (0)17.922.1 (1.0)0.0020.004 (0.001)1.61.7 (0.1)0.520.65 (0.03)
      9F270364100 (0)21.123.4 (0.6)00 (0)35.838.1 (1.4)4.104.82 (0.18)
      10F445418200 (0)29.733.6 (0.8)0.0030.096 (0.007)22.925.7 (1.5)4.865.89 (0.20)
      Figure thumbnail gr2
      Fig. 2Comparison of nominal vs variable RBE NTCP prediction for the selected OARs and endpoints. For each panel, circles indicate the nominal NTCP, while boxplots reflect the variability associated with variable RBE and random sampling of α/β values.
      Figure thumbnail gr3
      Fig. 3Dose distribution obtained with constant (a) and variable RBE (b) for patient 4, who was associated with a high thyroid dose. The plan consists of 3 beams (2 anterior + 1 posterior) as indicated in . The dose-average LET distribution is also reported (c), together with the dose difference (constant – variable RBE) (d). The bottom row shows the DVH (e) and LVH (i.e. LET volume histogram) (f) for the thyroid, which is the ROI displayed in the dose distributions. In (e) both the constant (solid line) and the variable RBE (dotted line) DVH are shown.
      In this case, the thyroid V30 is well above zero in nominal plans (range 7.5–38.4%) and a further increase is observed due to variable RBE (range 26.3–53.4%). The largest effect is observed for patient 5, for whom NTCP goes up by about 24%. The large impact of variable RBE for these patients is associated with the specific shape of the DVH, showing a steep fall-off at about 30 Gy(RBE). Variable RBE moves the fall-off to higher doses, with a significant increase in terms of V30. To show this behaviour with more details, in Supplementary Material S2 we report the thyroid DVH for patient 5 obtained with constant and variable RBE.
      When looking at the NTCP for lung fibrosis (Fig. 2B), it is obvious how variable RBE only slightly affects the risk of toxicity. This is a consequence of RBE leading to a minor increase in the dosimetric parameters (i.e. heart M30, left lung V5, see also Table 1). Overall, we observe fluctuations in NTCP values between about 3% and 11.6%, as a consequence of the inter-patient lung V5 variability.
      Concerning heart toxicity, we considered two different models and endpoints. Fig. 2C indicates that the risk for heart valve dysfunction fluctuates around 2% for all patients but for patient 6. For this endpoint, the NTCP model is based on three variables (heart D1, heart and lung volumes), their interplay defining the risk. The NTCP increases for increasing D1 and heart volume, while it goes down for large lung volume. This explains why patients 2 and 6, having similar heart D1, show such large differences in NTCP. In fact, according to this model, it is the large lung volume of patient 2 that plays a “protective” role. Moreover, the larger heart volume, also increasing the risk, is associated with patient 6. Despite the increase in heart D1 due to variable RBE is similar to that observed for other patients, the combination of model parameters for patient 6 return an NTCP belonging to steep part of the risk function. Therefore, even small D1 variations are associated with large NTCP differences. The NTCP as a function of D1 for patient 6 is reported in Supplementary Material S2, where we also show how variations in heart volume have a strong impact on the predicted risk.
      Trying to mitigate toxicity risks, we dedicated additional effort to the analysis of patient 6, which is associated with the largest risk of heart valve dysfunction. A replanning was performed, as described in the Methods. The heart D1 decreased from the 39.9 Gy(RBE) of the nominal plans to 37.6 and 36.2 Gy(RBE) for Replan 1 and 2, respectively. Fig. 4 collects the NTCP associated with constant and variable RBE. The figure shows that assuming a variable RBE, by including a specific objective in the cost function, we were able to lower the NTCP from 31% to 24% and to 21% for Replan 1 and 2, respectively. A similar trend was observed for constant RBE. The D95 for the target volume (ITV40) was lowered from 39.9 Gy(RBE) to 39.2 and 38.4 Gy(RBE) for the two additional plans. This indicates that target coverage obviously decreased, but acceptance criteria were met also for the new plans.
      Figure thumbnail gr4
      Fig. 4Comparison of nominal plans vs Replan 1 and 2, obtained with an additional heart D1 objective in the optimization cost function. Circles indicate the NTCP for constant RBE, while boxplots reflect the variability associated with variable RBE and random sampling of α/β values. Boxplots were obtained by sampling 100 α/β values.
      Finally, the risk for CHD was computed according to the linear model by van Nimwegen et al [
      • van Nimwegen F.A.
      • Schaapveld M.
      • Cutter D.J.
      • Janus C.P.M.
      • Krol A.D.G.
      • Hauptmann M.
      • et al.
      Radiation dose-response relationship for risk of coronary heart disease in survivors of hodgkin lymphoma.
      ] and is reported in Fig. 3D expressed as RR. Due to the dependence on MHD, the resulting RRs are quite scattered. At the same time, variable RBE has a direct effect on increasing MHD and thus the toxicity risk: the higher the nominal MHD, the higher the impact of variable RBE.
      Based on the results discussed above, we collected the information presented so far in the scatter plot of Fig. 5. Here, we show ΔNTCP as a function of the difference in terms of dosimetric parameters between variable RBE plans (median RBE values were employed) and nominal ones. Each symbol refers to a single patient, while colours identify the OAR. First, the scatter plot indicates that in most of the cases we recorded a limited effect of variable RBE on dosimetric predictors, and therefore a minor NTCP variation. However, the figure also shows how the variation of similar size in terms of heart D1 or thyroid V30 can result in much different ΔNTCP.
      Figure thumbnail gr5
      Fig. 5Scatter plot of ΔNTCP as a function of the difference in terms of dosimetric parameters (ΔVx or ΔD1) employed by the NTCP models. Each symbol indicates a patient, while the colours are associated with the three OARs investigated.

      4. Discussion

      NTCP models are becoming increasingly employed as a tool for plan evaluation in modern-RT. Their use is of particular interest when comparing different RT techniques since they allow translating dosimetric parameters into an expected toxicity risk, a non-obvious step due to the non-linear nature of most of the models [
      • Blanchard P.
      • Wong A.J.
      • Gunn G.B.
      • Garden A.S.
      • Mohamed A.S.R.
      • Rosenthal D.I.
      • et al.
      Toward a model-based patient selection strategy for proton therapy: External validation of photon-derived normal tissue complication probability models in a head and neck proton therapy cohort.
      ,
      • Widder J.
      • van der Schaaf A.
      • Lambin P.
      • Marijnen C.A.M.
      • Pignol J.-P.
      • Rasch C.R.
      • et al.
      The quest for evidence for proton therapy: model-based approach and precision medicine.
      ]. For PT, this is also true when considering the impact of variable RBE, which overall leads to higher biological doses, eventually associated with an increased risk of toxicity [
      • Tilly N.
      • Johansson J.
      • Isacsson U.
      • Medin J.
      • Blomquist E.
      • Grusell E.
      • et al.
      The influence of RBE variations in a clinical proton treatment plan for a hypopharynx cancer.
      ,
      • Ödén J.
      • Toma-Dasu I.
      • Eriksson K.
      • Flejmer A.M.
      • Dasu A.
      The influence of breathing motion and a variable relative biological effectiveness in proton therapy of left-sided breast cancer.
      ,
      • Paganetti H.
      Relating the proton relative biological effectiveness to tumor control and normal tissue complication probabilities assuming interpatient variability in α/β.
      ,
      • Pedersen J.
      • Petersen J.B.B.
      • Stokkevåg C.H.
      • Ytre-Hauge K.S.
      • Flampouri S.
      • Li Z.
      • et al.
      Biological dose and complication probabilities for the rectum and bladder based on linear energy transfer distributions in spot scanning proton therapy of prostate cancer.
      ,
      • Marteinsdottir M.
      • Paganetti H.
      Applying a variable relative biological effectiveness (RBE) might affect the analysis of clinical trials comparing photon and proton therapy for prostate cancer.
      ,
      • Chen Y.
      • Grassberger C.
      • Li J.
      • Hong T.S.
      • Paganetti H.
      Impact of potentially variable RBE in liver proton therapy.
      ]. Here we applied several NTCP models to investigate the impact of variable RBE on young patients treated for ML with IMPT.
      Different NTCP models have been proposed in the last decades, among which we decided to adopt models derived from lymphoma patients. Such models were obtained with patients treated with photons, and the risk estimation might be sub-optimal when they are applied to PT. This is currently an unavoidable approximation, due to the scarcity of NTCP models derived from PT patients. This represents a potential criticism to our approach, which is nevertheless similar to that adopted by other [
      • Scorsetti M.
      • Cozzi L.
      • Navarria P.
      • Fogliata A.
      • Rossi A.
      • Franceschini D.
      • et al.
      Intensity modulated proton therapy compared to volumetric modulated arc therapy in the irradiation of young female patients with hodgkin’s lymphoma. Assessment of risk of toxicity and secondary cancer induction.
      ,
      • Blanchard P.
      • Wong A.J.
      • Gunn G.B.
      • Garden A.S.
      • Mohamed A.S.R.
      • Rosenthal D.I.
      • et al.
      Toward a model-based patient selection strategy for proton therapy: External validation of photon-derived normal tissue complication probability models in a head and neck proton therapy cohort.
      ,
      • Marteinsdottir M.
      • Wang C.-C.
      • McNamara A.
      • Depauw N.
      • Shin J.
      • Paganetti H.
      The impact of variable relative biological effectiveness in proton therapy for left-sided breast cancer when estimating normal tissue complications in the heart and lung.
      ,
      • Tommasino F.
      • Durante M.
      • D’Avino V.
      • Liuzzi R.
      • Conson M.
      • Farace P.
      • et al.
      Model-based approach for quantitative estimates of skin, heart, and lung toxicity risk for left-side photon and proton irradiation after breast-conserving surgery.
      ,

      Fellin F, Iacco M, D’Avino V, Tommasino F, Farace P, Palma G, et al. Potential skin morbidity reduction with intensity-modulated proton therapy for breast cancer with nodal involvement. Acta Oncol (Madr) 2019:1–9. 10.1080/0284186X.2019.1591638.

      ]. Unfortunately, the availability of proton-derived NTCP models, as well as of photon models validated on proton patients, is very limited. Studies have been published, indicating that photon NTCP models can be robustly applied to predict toxicity in head and neck patients treated with protons [
      • Blanchard P.
      • Wong A.J.
      • Gunn G.B.
      • Garden A.S.
      • Mohamed A.S.R.
      • Rosenthal D.I.
      • et al.
      Toward a model-based patient selection strategy for proton therapy: External validation of photon-derived normal tissue complication probability models in a head and neck proton therapy cohort.
      ]. More in general, the model-based approach [
      • Blanchard P.
      • Wong A.J.
      • Gunn G.B.
      • Garden A.S.
      • Mohamed A.S.R.
      • Rosenthal D.I.
      • et al.
      Toward a model-based patient selection strategy for proton therapy: External validation of photon-derived normal tissue complication probability models in a head and neck proton therapy cohort.
      ,
      • Boersma L.J.
      • Sattler M.G.A.
      • Maduro J.H.
      • Bijker N.
      • Essers M.
      • van Gestel C.M.J.
      • et al.
      Model-based selection for proton therapy in breast cancer: development of the national indication protocol for proton therapy and first clinical experiences.
      ,
      • Langendijk J.A.
      • Lambin P.
      • De Ruysscher D.
      • Widder J.
      • Bos M.
      • Verheij M.
      Selection of patients for radiotherapy with protons aiming at reduction of side effects: the model-based approach.
      ] recommends the use of available models to select patients for proton therapy, based on the gain in toxicity risks. While few dedicated studies were published in the last years, there are no PT-derived NTCP models for the endpoints included in our study.
      Overall, our data indicate that, for the analysed cohort of ML patients, toxicity risks for thyroid and heart are comparably low, with a few exceptions (i.e., patients 3, 4, 5 for hypothyroidism, patient 6 for heart valve dysfunction). Remarkably, the risk increase due to variable RBE seems to be significant only for those patients having a higher risk for the nominal plan. Similarly, the uncertainties in the α/β values seem not to markedly affect the risk estimation. Again, an exception is represented by the cases listed above, also showing a larger dependence on the α/β ratio. NTCP values show larger inter-patient fluctuations when looking at lung fibrosis, falling in any case below 8% for 9/10 of the patients, with a weak dependence on RBE and on the α/β ratio. Finally, a slightly different trend is observed for the RR of CHD, due to the linear dependence on the MHD.
      In this context, the analysis of NTCP for heart valve dysfunction deserves a specific comment. According to Hoppe et al [
      • Hoppe B.S.
      • Bates J.E.
      • Mendenhall N.P.
      • Morris C.G.
      • Louis D.
      • Ho M.W.
      • et al.
      The meaningless meaning of mean heart dose in mediastinal lymphoma in the modern radiation therapy era.
      ], while the MHD correlates with the dose to cardiac substructures for conventional RT, this is not always the case for highly conformal techniques. The model by Cella et al adopted in this study is based on the heart Dmax as dosimetric parameter, resulting from the analysis of a cohort of patients treated with 3D conformal RT. In that study, a correlation was observed between MHD and Dmax; the MHD reported by Cella et all was equal to 23.2 Gy(RBE), well above the 2.9 Gy(RBE) observed in our patients. This could indicate that, due to the lower MHD observed with IMPT, the application of such a model to PT patients could provide a conservative overestimation of the NTCP for this specific endpoint.
      Recently, Dabaya et al [
      • Dabaja B.S.
      • Hoppe B.S.
      • Plastaras J.P.
      • Newhauser W.
      • Rosolova K.
      • Flampouri S.
      • et al.
      Proton therapy for adults with mediastinal lymphomas: the International Lymphoma Radiation Oncology Group guidelines.
      ] proposed practical guidelines for the treatment of adult ML patients with PT, which provides support in identifying patients to be selected for PT, as well as in guiding planning strategy. When selecting NTCP models for our analysis, we detected a discrepancy among the dose metrics proposed in that work compared to those employed by NTCP models developed for ML patients and employed for our analysis (Table 1). Left lung V5 is indeed present in both guidelines and risk models. A similar thyroid parameter is also employed (V25 and V30 in [
      • Dabaja B.S.
      • Hoppe B.S.
      • Plastaras J.P.
      • Newhauser W.
      • Rosolova K.
      • Flampouri S.
      • et al.
      Proton therapy for adults with mediastinal lymphomas: the International Lymphoma Radiation Oncology Group guidelines.
      ] and in [
      • Cella L.
      • Liuzzi R.
      • Conson M.
      • D’Avino V.
      • Salvatore M.
      • Pacelli R.
      Development of multivariate NTCP models for radiation-induced hypothyroidism: a comparative analysis.
      ], respectively). However, we observed that the heart Dmax and M30, while not being included in the guidelines, are variables used for predicting the risk of heart valve dysfunction [
      • 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.
      ] (for which heart and lung volumes also play a role) and lung fibrosis [
      • 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.
      ], respectively. The analysis of patient 6 summarized in Fig. 4 indicates that, by including the heart D1 in the optimization cost function we were able to reduce the risk of heart toxicity, without compromising target coverage. This could be a practical approach for patients associated with a higher risk of cardiac toxicity, according to the model by Cella et al [
      • 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.
      ].
      Interesting indications concerning the role of model parameters also emerge from Fig. 5. The scatter plot associates, for each patient and each OAR, the difference in terms of dosimetric parameters used by the NTCP models with the corresponding ΔNTCP. While for the majority of patients a limited NTCP increase is observed, there are a few notable cases to be discussed. While the increase in heart D1 is limited to a few Gy(RBE), and the ΔNTCP is also well below 5%, for patient 6 the same D1 increase corresponds to an enhanced toxicity risk above 10%. Larger effects of RBE are registered for thyroid V30. Interestingly, two patients show a similar increase in the order of 14 Gy(RBE), but the corresponding NTCP is increased by about 1% for one of them (patient 7) and by about 15% for the other (patient 4). Due to the non-linear NTCP functions, a given ΔD can correspond to very different ΔNTCP, depending on which portion of the NTCP function is interested (e.g. the initial and final low slope regions, or the high gradient intermediate one). Thus, even though a direct quantification of ΔNTCP between a reference photon plan and proton plan is beyond the purpose of this work, these data show that only considering dosimetric parameters may not be sufficient to estimate a proper risk increase when accounting for variable RBE. Efficient patient-selection criteria could therefore consider including variable RBE in plan evaluations.
      To our knowledge, this is the first study combining variable RBE with NTCP evaluation for ML patients treated with IMPT. Previously, Tseng et al published a dosimetric analysis including variable RBE [
      • Tseng Y.D.
      • Maes S.M.
      • Kicska G.
      • Sponsellor P.
      • Traneus E.
      • Wong T.
      • et al.
      Comparative photon and proton dosimetry for patients with mediastinal lymphoma in the era of Monte Carlo treatment planning and variable relative biological effectiveness.
      ], while Scorsetti et al performed an NTCP evaluation on nominal plans [
      • Scorsetti M.
      • Cozzi L.
      • Navarria P.
      • Fogliata A.
      • Rossi A.
      • Franceschini D.
      • et al.
      Intensity modulated proton therapy compared to volumetric modulated arc therapy in the irradiation of young female patients with hodgkin’s lymphoma. Assessment of risk of toxicity and secondary cancer induction.
      ], without considering variable RBE. Overall, the results reported by both the studies are in line with our results, where a comparison is possible. In [
      • Scorsetti M.
      • Cozzi L.
      • Navarria P.
      • Fogliata A.
      • Rossi A.
      • Franceschini D.
      • et al.
      Intensity modulated proton therapy compared to volumetric modulated arc therapy in the irradiation of young female patients with hodgkin’s lymphoma. Assessment of risk of toxicity and secondary cancer induction.
      ] different NTCP models were employed compared to the one used in this study. Specifically, those models were not derived from ML clinical studies. Therefore we believe that our choice was more appropriate for this specific case. However, none of the models employed here or used in [
      • Scorsetti M.
      • Cozzi L.
      • Navarria P.
      • Fogliata A.
      • Rossi A.
      • Franceschini D.
      • et al.
      Intensity modulated proton therapy compared to volumetric modulated arc therapy in the irradiation of young female patients with hodgkin’s lymphoma. Assessment of risk of toxicity and secondary cancer induction.
      ] has been so far externally validated on patients treated with protons, which would contribute to identifying the most suitable models for this type of analysis.
      It is known that combined radiotherapy and chemotherapy treatments may increase the risk of toxicities [
      • Hodgson D.C.
      Long-term toxicity of chemotherapy and radiotherapy in lymphoma survivors: optimizing treatment for individual patients.
      ,
      • Sasse S.
      • Klimm B.
      • Görgen H.
      • Fuchs M.
      • Heyden-Honerkamp A.
      • Lohri A.
      • et al.
      Comparing long-term toxicity and efficacy of combined modality treatment including extended- or involved-field radiotherapy in early-stage Hodgkin’s lymphoma.
      ]. This is not taken into account in the present analysis, since neither of the NTCP models employed includes chemotherapy as a co-variable. The development of additional models in the future could contribute to investigating this aspect.
      Among the limitations affecting our analysis there are the comparably low numbers of patients included. However, this is a representative cohort of patients treated at our institutions. Nevertheless, specific cases of interest such as the ones discussed might emerge when considering a larger number of patients.
      Concerning RBE modelling, several approaches are available in the literature, parametric models being usually employed for proton RBE. The choice of the McNamara model [
      • McNamara A.L.
      • Schuemann J.
      • Paganetti H.
      A phenomenological relative biological effectiveness (RBE) model for proton therapy based on all published in vitro cell survival data.
      ] was motivated by the fact that, among parametric models, it was developed by fitting the largest dataset of experimental RBE data. It has also been adopted by a large number of studies, making it easier to compare results obtained by different groups. Current RBE models were developed mostly based on experimental clonogenic survival data. This represents a general limitation when such models are adopted for NTCP analysis, since RBE might differ for endpoints associated with normal tissue toxicities. While more suitable RBE models might become available in the future, current RBE models are expected to provide reasonable hints on the potential impact of variable RBE, and were therefore adopted in several studies [
      • Tilly N.
      • Johansson J.
      • Isacsson U.
      • Medin J.
      • Blomquist E.
      • Grusell E.
      • et al.
      The influence of RBE variations in a clinical proton treatment plan for a hypopharynx cancer.
      ,
      • Ödén J.
      • Toma-Dasu I.
      • Eriksson K.
      • Flejmer A.M.
      • Dasu A.
      The influence of breathing motion and a variable relative biological effectiveness in proton therapy of left-sided breast cancer.
      ,
      • Paganetti H.
      Relating the proton relative biological effectiveness to tumor control and normal tissue complication probabilities assuming interpatient variability in α/β.
      ,
      • Pedersen J.
      • Petersen J.B.B.
      • Stokkevåg C.H.
      • Ytre-Hauge K.S.
      • Flampouri S.
      • Li Z.
      • et al.
      Biological dose and complication probabilities for the rectum and bladder based on linear energy transfer distributions in spot scanning proton therapy of prostate cancer.
      ,
      • Marteinsdottir M.
      • Paganetti H.
      Applying a variable relative biological effectiveness (RBE) might affect the analysis of clinical trials comparing photon and proton therapy for prostate cancer.
      ,
      • Marteinsdottir M.
      • Wang C.-C.
      • McNamara A.
      • Depauw N.
      • Shin J.
      • Paganetti H.
      The impact of variable relative biological effectiveness in proton therapy for left-sided breast cancer when estimating normal tissue complications in the heart and lung.
      ,
      • Chen Y.
      • Grassberger C.
      • Li J.
      • Hong T.S.
      • Paganetti H.
      Impact of potentially variable RBE in liver proton therapy.
      ].
      For female ML patients, there is also concern for an increased risk of secondary breast cancer [
      • Dabaja B.S.
      • Hoppe B.S.
      • Plastaras J.P.
      • Newhauser W.
      • Rosolova K.
      • Flampouri S.
      • et al.
      Proton therapy for adults with mediastinal lymphomas: the International Lymphoma Radiation Oncology Group guidelines.
      ]. Previous reports indicate that IMPT is associated to a risk reduction compared to photon RT [
      • Scorsetti M.
      • Cozzi L.
      • Navarria P.
      • Fogliata A.
      • Rossi A.
      • Franceschini D.
      • et al.
      Intensity modulated proton therapy compared to volumetric modulated arc therapy in the irradiation of young female patients with hodgkin’s lymphoma. Assessment of risk of toxicity and secondary cancer induction.
      ]. Such results were obtained assuming a RBE = 1.1. Importantly, patient age at treatment, which in the present study only influenced the risk of lung fibrosis (Table S1), would also modulate the risk of cancer induction. Investigations of variable RBE effects on secondary cancer risk estimation are currently on going in our group, on the base of a recently published RBE model for mutation induction [
      • Attili A.
      • Scifoni E.
      • Tommasino F.
      Modelling the HPRT-gene mutation induction of particle beams: systematicin vitrodata collection, analysis and microdosimetric kinetic model implementation.
      ], and will be object of separate publications.

      5. Conclusions

      In this study we performed a dosimetric and NTCP analysis for ML patients treated with IMPT, comparing nominal plans with that obtained with variable RBE. Our data indicate that, when translated in terms of toxicity risk, the impact of variable RBE is limited, with the exception of a few patients, being associated with a higher nominal risk. Non-linearity effects of NTCP models also suggest that looking only at the biological dose increase might not be sufficient to properly assess variable RBE effects.

      Declaration of Competing Interest

      The authors declare that they have no known competing financial interests or personal relationships that could have appeared to influence the work reported in this paper.

      Appendix A. Supplementary data

      The following are the Supplementary data to this article:

      References

        • Ricardi U.
        • Maraldo M.V.
        • Levis M.
        • Parikh R.R.
        Proton therapy for lymphomas: current state of the art.
        Onco Targets Ther. 2019; 12: 8033-8046https://doi.org/10.2147/OTT.S220730
      1. Taparra K, Lester SC, Harmsen WS, Petersen M, Funk RK, Blanchard MJ, et al. Reducing Heart Dose with Protons and Cardiac Substructure Sparing for Mediastinal Lymphoma Treatment. Int J Part Ther 2020;7:1–12. 10.14338/IJPT-20-00010.1.

        • Chang J.Y.
        • Zhang X.
        • Knopf A.
        • Li H.
        • Mori S.
        • Dong L.
        • et al.
        Consensus Guidelines for Implementing Pencil-Beam Scanning Proton Therapy for Thoracic Malignancies on Behalf of the PTCOG Thoracic and Lymphoma Subcommittee.
        Int J Radiat Oncol. 2017; 99: 41-50https://doi.org/10.1016/j.ijrobp.2017.05.014
        • Dabaja B.S.
        • Hoppe B.S.
        • Plastaras J.P.
        • Newhauser W.
        • Rosolova K.
        • Flampouri S.
        • et al.
        Proton therapy for adults with mediastinal lymphomas: the International Lymphoma Radiation Oncology Group guidelines.
        Blood. 2018; 132: 1635-1646https://doi.org/10.1182/blood-2018-03-837633
        • Tseng Y.D.
        • Maes S.M.
        • Kicska G.
        • Sponsellor P.
        • Traneus E.
        • Wong T.
        • et al.
        Comparative photon and proton dosimetry for patients with mediastinal lymphoma in the era of Monte Carlo treatment planning and variable relative biological effectiveness.
        Radiat Oncol. 2019; 14: 243https://doi.org/10.1186/s13014-019-1432-8
        • Scorsetti M.
        • Cozzi L.
        • Navarria P.
        • Fogliata A.
        • Rossi A.
        • Franceschini D.
        • et al.
        Intensity modulated proton therapy compared to volumetric modulated arc therapy in the irradiation of young female patients with hodgkin’s lymphoma. Assessment of risk of toxicity and secondary cancer induction.
        Radiat Oncol. 2020; 15: 12https://doi.org/10.1186/s13014-020-1462-2
        • Blanchard P.
        • Wong A.J.
        • Gunn G.B.
        • Garden A.S.
        • Mohamed A.S.R.
        • Rosenthal D.I.
        • et al.
        Toward a model-based patient selection strategy for proton therapy: External validation of photon-derived normal tissue complication probability models in a head and neck proton therapy cohort.
        Radiother Oncol. 2016; https://doi.org/10.1016/j.radonc.2016.08.022
        • Boersma L.J.
        • Sattler M.G.A.
        • Maduro J.H.
        • Bijker N.
        • Essers M.
        • van Gestel C.M.J.
        • et al.
        Model-based selection for proton therapy in breast cancer: development of the national indication protocol for proton therapy and first clinical experiences.
        Clin Oncol. 2022; 34: 247-257https://doi.org/10.1016/j.clon.2021.12.007
        • Langendijk J.A.
        • Lambin P.
        • De Ruysscher D.
        • Widder J.
        • Bos M.
        • Verheij M.
        Selection of patients for radiotherapy with protons aiming at reduction of side effects: the model-based approach.
        Radiother Oncol. 2013; 107: 267-273https://doi.org/10.1016/j.radonc.2013.05.007
        • Darby S.C.
        • Ewertz M.
        • McGale P.
        • Bennet A.M.
        • Blom-Goldman U.
        • Brønnum D.
        • et al.
        Risk of ischemic heart disease in women after radiotherapy for breast cancer.
        N Engl J Med. 2013; 368: 987-998https://doi.org/10.1056/NEJMoa1209825
        • Taylor C.
        • Correa C.
        • Duane F.K.
        • Aznar M.C.
        • Anderson S.J.
        • Bergh J.
        • et al.
        Estimating the risks of breast cancer radiotherapy: evidence from modern radiation doses to the lungs and heart and from previous randomized trials.
        J Clin Oncol. 2017; 35: 1641-1649https://doi.org/10.1200/JCO.2016.72.0722
        • Tommasino F.
        • Durante M.
        Proton Radiobiology Cancers (Basel). 2015; 7: 353-381https://doi.org/10.3390/cancers7010353
        • Rørvik E.
        • Fjæra L.F.
        • Dahle T.J.
        • Dale J.E.
        • Engeseth G.M.
        • Stokkevåg C.H.
        • et al.
        Exploration and application of phenomenological RBE models for proton therapy.
        Phys Med Biol. 2018; 63185013https://doi.org/10.1088/1361-6560/aad9db
        • McNamara A.
        • Willers H.
        • Paganetti H.
        Modelling variable proton relative biological effectiveness for treatment planning.
        Br J Radiol. 2020; 93: 20190334https://doi.org/10.1259/bjr.20190334
        • Tilly N.
        • Johansson J.
        • Isacsson U.
        • Medin J.
        • Blomquist E.
        • Grusell E.
        • et al.
        The influence of RBE variations in a clinical proton treatment plan for a hypopharynx cancer.
        Phys Med Biol. 2005; 50: 2765-2777https://doi.org/10.1088/0031-9155/50/12/003
        • Ödén J.
        • Toma-Dasu I.
        • Eriksson K.
        • Flejmer A.M.
        • Dasu A.
        The influence of breathing motion and a variable relative biological effectiveness in proton therapy of left-sided breast cancer.
        Acta Oncol (Madr). 2017; 56: 1428-1436https://doi.org/10.1080/0284186X.2017.1348625
        • Paganetti H.
        Relating the proton relative biological effectiveness to tumor control and normal tissue complication probabilities assuming interpatient variability in α/β.
        Acta Oncol (Madr). 2017; 56: 1379-1386https://doi.org/10.1080/0284186X.2017.1371325
        • Pedersen J.
        • Petersen J.B.B.
        • Stokkevåg C.H.
        • Ytre-Hauge K.S.
        • Flampouri S.
        • Li Z.
        • et al.
        Biological dose and complication probabilities for the rectum and bladder based on linear energy transfer distributions in spot scanning proton therapy of prostate cancer.
        Acta Oncol. 2017; 56: 1413-1419https://doi.org/10.1080/0284186X.2017.1373198
        • Marteinsdottir M.
        • Paganetti H.
        Applying a variable relative biological effectiveness (RBE) might affect the analysis of clinical trials comparing photon and proton therapy for prostate cancer.
        Phys Med Biol. 2019; 64115027https://doi.org/10.1088/1361-6560/ab2144
        • Marteinsdottir M.
        • Wang C.-C.
        • McNamara A.
        • Depauw N.
        • Shin J.
        • Paganetti H.
        The impact of variable relative biological effectiveness in proton therapy for left-sided breast cancer when estimating normal tissue complications in the heart and lung.
        Phys Med Biol. 2021; 66035023https://doi.org/10.1088/1361-6560/abd230
        • Chen Y.
        • Grassberger C.
        • Li J.
        • Hong T.S.
        • Paganetti H.
        Impact of potentially variable RBE in liver proton therapy.
        Phys Med Biol. 2018; 63195001https://doi.org/10.1088/1361-6560/aadf24
        • Bahn E.
        • Bauer J.
        • Harrabi S.
        • Herfarth K.
        • Debus J.
        • Alber M.
        Late contrast enhancing brain lesions in proton-treated patients with low-grade glioma: clinical evidence for increased periventricular sensitivity and variable RBE.
        Int J Radiat Oncol. 2020; 107: 571-578https://doi.org/10.1016/j.ijrobp.2020.03.013
        • Eulitz J.G.C.
        • Troost E.
        • Klünder L.
        • Raschke F.
        • Hahn C.
        • Schulz E.
        • et al.
        Increased relative biological effectiveness and periventricular radiosensitivity in proton therapy of glioma patients.
        Radiother Oncol. 2023; 178109422https://doi.org/10.1016/j.radonc.2022.11.011
        • Niemierko A.
        • Schuemann J.
        • Niyazi M.
        • Giantsoudi D.
        • Maquilan G.
        • Shih H.A.
        • et al.
        Brain necrosis in adult patients after proton therapy: is there evidence for dependency on linear energy transfer?.
        Int J Radiat Oncol. 2021; 109: 109-119https://doi.org/10.1016/j.ijrobp.2020.08.058
        • Garbacz M.
        • Cordoni F.G.
        • Durante M.
        • Gajewski J.
        • Kisielewicz K.
        • Krah N.
        • et al.
        Study of relationship between dose, LET and the risk of brain necrosis after proton therapy for skull base tumors.
        Radiother Oncol. 2021; 163: 143-149https://doi.org/10.1016/j.radonc.2021.08.015
        • Paganetti H.
        • Niemierko A.
        • Ancukiewicz M.
        • Gerweck L.E.
        • Goitein M.
        • Loeffler J.S.
        • et al.
        Relative biological effectiveness (RBE) values for proton beam therapy.
        Int J Radiat Oncol Biol Phys. 2002; 53: 407-421https://doi.org/10.1016/S0360-3016(02)02754-2
        • Paganetti H.
        Relative biological effectiveness (RBE) values for proton beam therapy. Variations as a function of biological endpoint, dose, and linear energy transfer.
        Phys Med Biol. 2014; 59: R419-R472https://doi.org/10.1088/0031-9155/59/22/R419
        • Sørensen B.S.
        • Pawelke J.
        • Bauer J.
        • Burnet N.G.
        • Dasu A.
        • Høyer M.
        • et al.
        Does the uncertainty in relative biological effectiveness affect patient treatment in proton therapy?.
        Radiother Oncol. 2021; 163: 177-184https://doi.org/10.1016/j.radonc.2021.08.016
        • Specht L.
        • Yahalom J.
        • Illidge T.
        • Berthelsen A.K.
        • Constine L.S.
        • Eich H.T.
        • 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: 854-862https://doi.org/10.1016/j.ijrobp.2013.05.005
        • Righetto R.
        • Fracchiolla F.
        • Widesott L.
        • Lorentini S.
        • Dionisi F.
        • Rombi B.
        • et al.
        Technical challenges in the treatment of mediastinal lymphomas by proton pencil beam scanning and deep inspiration breath-hold.
        Radiother Oncol. 2022; 169: 43-50https://doi.org/10.1016/j.radonc.2022.02.015
        • McNamara A.L.
        • Schuemann J.
        • Paganetti H.
        A phenomenological relative biological effectiveness (RBE) model for proton therapy based on all published in vitro cell survival data.
        Phys Med Biol. 2015; 60: 8399-8416https://doi.org/10.1088/0031-9155/60/21/8399
        • Fracchiolla F.
        • Lorentini S.
        • Widesott L.
        • Schwarz M.
        Characterization and validation of a Monte Carlo code for independent dose calculation in proton therapy treatments with pencil beam scanning.
        Phys Med Biol. 2015; 60: 8601-8619https://doi.org/10.1088/0031-9155/60/21/8601
        • Perl J.
        • Shin J.
        • Schümann J.
        • Faddegon B.
        • Paganetti H.
        TOPAS: an innovative proton Monte Carlo platform for research and clinical applications.
        Med Phys. 2012; 39: 6818https://doi.org/10.1118/1.4758060
        • Kalholm F.
        • Grzanka L.
        • Traneus E.
        • Bassler N.
        A systematic review on the usage of averaged LET in radiation biology for particle therapy.
        Radiother Oncol. 2021; 161: 211-221https://doi.org/10.1016/j.radonc.2021.04.007
        • Hahn C.
        • Ödén J.
        • Dasu A.
        • Vestergaard A.
        • Fuglsang Jensen M.
        • Sokol O.
        • et al.
        Towards harmonizing clinical linear energy transfer (LET) reporting in proton radiotherapy: a European multi-centric study.
        Acta Oncol (Madr). 2022; 61: 206-214https://doi.org/10.1080/0284186X.2021.1992007
        • Friedrich T.
        • Scholz U.
        • Elsässer T.
        • Durante M.
        • Scholz M.
        Systematic analysis of RBE and related quantities using a database of cell survival experiments with ion beam irradiation.
        J Radiat Res. 2013; 54: 494-514https://doi.org/10.1093/jrr/rrs114
        • SørM B.
        Quantitative clinical radiobiology.
        Acta Oncol (Madr). 1993; 32: 259-275https://doi.org/10.3109/02841869309093594
        • Bentzen M.
        • Skoczylas J.Z.
        • Ber J.
        Quantitative clinical radiobiology of early and late lung reactions.
        Int J Radiat Biol. 2000; 76: 453-462https://doi.org/10.1080/095530000138448
        • Cella L.
        • Liuzzi R.
        • Conson M.
        • D’Avino V.
        • Salvatore M.
        • Pacelli R.
        Development of multivariate NTCP models for radiation-induced hypothyroidism: a comparative analysis.
        Radiat Oncol. 2012; 7: 224https://doi.org/10.1186/1748-717X-7-224
        • 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: 304-310https://doi.org/10.1016/j.ijrobp.2013.05.049
        • 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: 36-43https://doi.org/10.1016/j.radonc.2015.07.051
        • van Nimwegen F.A.
        • Schaapveld M.
        • Cutter D.J.
        • Janus C.P.M.
        • Krol A.D.G.
        • Hauptmann M.
        • et al.
        Radiation dose-response relationship for risk of coronary heart disease in survivors of hodgkin lymphoma.
        J Clin Oncol. 2016; 34: 235-243https://doi.org/10.1200/JCO.2015.63.4444
        • Widder J.
        • van der Schaaf A.
        • Lambin P.
        • Marijnen C.A.M.
        • Pignol J.-P.
        • Rasch C.R.
        • et al.
        The quest for evidence for proton therapy: model-based approach and precision medicine.
        Int J Radiat Oncol. 2016; 95: 30-36https://doi.org/10.1016/j.ijrobp.2015.10.004
        • Tommasino F.
        • Durante M.
        • D’Avino V.
        • Liuzzi R.
        • Conson M.
        • Farace P.
        • et al.
        Model-based approach for quantitative estimates of skin, heart, and lung toxicity risk for left-side photon and proton irradiation after breast-conserving surgery.
        Acta Oncol (Madr). 2017; 56: 730-736https://doi.org/10.1080/0284186X.2017.1299218
      2. Fellin F, Iacco M, D’Avino V, Tommasino F, Farace P, Palma G, et al. Potential skin morbidity reduction with intensity-modulated proton therapy for breast cancer with nodal involvement. Acta Oncol (Madr) 2019:1–9. 10.1080/0284186X.2019.1591638.

        • Hoppe B.S.
        • Bates J.E.
        • Mendenhall N.P.
        • Morris C.G.
        • Louis D.
        • Ho M.W.
        • et al.
        The meaningless meaning of mean heart dose in mediastinal lymphoma in the modern radiation therapy era.
        Pract Radiat Oncol. 2020; 10 (e147–e154)https://doi.org/10.1016/j.prro.2019.09.015
        • Hodgson D.C.
        Long-term toxicity of chemotherapy and radiotherapy in lymphoma survivors: optimizing treatment for individual patients.
        Clin Adv Hematol Oncol. 2015; 13: 103-112
        • Sasse S.
        • Klimm B.
        • Görgen H.
        • Fuchs M.
        • Heyden-Honerkamp A.
        • Lohri A.
        • et al.
        Comparing long-term toxicity and efficacy of combined modality treatment including extended- or involved-field radiotherapy in early-stage Hodgkin’s lymphoma.
        Ann Oncol. 2012; 23: 2953-2959https://doi.org/10.1093/annonc/mds110
        • Attili A.
        • Scifoni E.
        • Tommasino F.
        Modelling the HPRT-gene mutation induction of particle beams: systematicin vitrodata collection, analysis and microdosimetric kinetic model implementation.
        Phys Med Biol. 2022; : 67https://doi.org/10.1088/1361-6560/ac8c80