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<?release-delay 0|0?>
<front>
<journal-meta>
<journal-id journal-id-type="publisher-id">MCO</journal-id>
<journal-title-group>
<journal-title>Molecular and Clinical Oncology</journal-title>
</journal-title-group>
<issn pub-type="ppub">2049-9450</issn>
<issn pub-type="epub">2049-9469</issn>
<publisher>
<publisher-name>D.A. Spandidos</publisher-name>
</publisher>
</journal-meta>
<article-meta>
<article-id pub-id-type="publisher-id">MCO-0-0-02251</article-id>
<article-id pub-id-type="doi">10.3892/mco.2021.2251</article-id>
<article-categories>
<subj-group subj-group-type="heading">
<subject>Articles</subject>
</subj-group>
</article-categories>
<title-group>
<article-title>VMAT for prostate cancer with 6-MV and 10-MV photons: Impact of beam energy on treatment plan quality and model-based secondary cancer risk estimates</article-title>
</title-group>
<contrib-group>
<contrib contrib-type="author" corresp="yes">
<name><surname>Mazonakis</surname><given-names>Michalis</given-names></name>
<xref rid="af1-mco-0-0-02251" ref-type="aff">1</xref>
<xref rid="c1-mco-0-0-02251" ref-type="corresp"/>
</contrib>
<contrib contrib-type="author">
<name><surname>Kachris</surname><given-names>Stefanos</given-names></name>
<xref rid="af2-mco-0-0-02251" ref-type="aff">2</xref>
</contrib>
<contrib contrib-type="author">
<name><surname>Damilakis</surname><given-names>John</given-names></name>
<xref rid="af1-mco-0-0-02251" ref-type="aff">1</xref>
</contrib>
</contrib-group>
<aff id="af1-mco-0-0-02251"><label>1</label>Department of Medical Physics, Faculty of Medicine, University of Crete, 71003 Iraklion, Greece</aff>
<aff id="af2-mco-0-0-02251"><label>2</label>Department of Radiotherapy and Oncology, University Hospital of Iraklion, 71110 Iraklion, Greece</aff>
<author-notes>
<corresp id="c1-mco-0-0-02251"><italic>Correspondence to:</italic> Dr Michalis Mazonakis, Department of Medical Physics, Faculty of Medicine, University of Crete, P.O. Box 2208, 71003 Iraklion, Greece <email>mazonak@uoc.gr</email></corresp>
</author-notes>
<pub-date pub-type="ppub">
<month>05</month>
<year>2021</year></pub-date>
<pub-date pub-type="epub">
<day>05</day>
<month>03</month>
<year>2021</year></pub-date>
<volume>14</volume>
<issue>5</issue>
<elocation-id>89</elocation-id>
<history>
<date date-type="received">
<day>29</day>
<month>06</month>
<year>2020</year>
</date>
<date date-type="accepted">
<day>20</day>
<month>11</month>
<year>2020</year>
</date>
</history>
<permissions>
<copyright-statement>Copyright &#x00A9; 2021, Spandidos Publications</copyright-statement>
<copyright-year>2021</copyright-year>
</permissions>
<abstract>
<p>The aim of the present study was to examine the effect of the photon beam energy on the volumetric modulated arc therapy (VMAT) plan quality for prostate cancer and on the risk of secondary carcinogenesis. Separate VMAT plans with 6-MV and 10-MV photons were created for 11 low-risk patients with prostate cancer. The prescribed tumor dose was 70 Gy delivered in 28 fractions. The normal tissue integral dose and parameters associated with planning target volume and organs at risk were determined by the treatment planning data. A non-linear mechanistic model considering the effects of tumor dose fractionation and cell proliferation was employed for estimating the patient-specific lifetime attributable risk (LAR) for bladder and rectal cancer induction. Data from differential dose-volume histograms were used for these risk assessments. The mean values of the planning parameters from 6-MV treatment plans differed by 0.2-3.4&#x0025; from those associated with irradiation using 10-MV photons. The LAR range for developing secondary bladder malignancies varied between 0.041 and 0.129&#x0025; by the patient under investigation and the beam energy used. The corresponding range for the appearance of rectal malignant diseases was 0.047-0.153&#x0025;. The mean percentage difference between the bladder cancer risks from VMAT with 6-MV and 10-MV photons was 2.6&#x00B1;2.3&#x0025;. The corresponding difference for secondary rectal malignancies was 0.7&#x00B1;0.6&#x0025;. Therefore, VMAT for prostate cancer with both 6-MV and 10-MV photons leads to clinically equivalent treatment plans and to similar secondary bladder and rectal cancer risks.</p>
</abstract>
<kwd-group>
<kwd>prostate cancer</kwd>
<kwd>volumetric modulated arc therapy</kwd>
<kwd>beam energy</kwd>
<kwd>treatment planning</kwd>
<kwd>secondary carcinogenesis</kwd>
</kwd-group>
<funding-group>
<funding-statement><bold>Funding:</bold> No funding was received.</funding-statement>
</funding-group>
</article-meta>
</front>
<body>
<sec sec-type="intro">
<title>Introduction</title>
<p>Prostate cancer is expected to account for 21&#x0025; of total new malignancies developing among men in USA during 2020(<xref rid="b1-mco-0-0-02251" ref-type="bibr">1</xref>). Several factors associated with increasing age, ethnicity, family history, genetic and hormonal influences, increase the probability of being diagnosed with carcinoma of the prostate gland (<xref rid="b2-mco-0-0-02251" ref-type="bibr">2</xref>). The presence of this malignancy can reduce the life expectancy and also compromise the quality of life of the patients due to sexual dysfunction, urinary incontinence and bowel problems. The improvements in early disease detection and treatment have reduced the mortality rate for prostate carcinoma by 52&#x0025; since 1993 and have achieved a 5-year survival rate for all-stage disease of 98&#x0025; (<xref rid="b1-mco-0-0-02251" ref-type="bibr">1</xref>). External-beam radiotherapy is extensively applied for the effective management of prostate cancer (<xref rid="b2-mco-0-0-02251" ref-type="bibr">2</xref>). At present, prostate irradiation is usually performed with the modern techniques of intensity-modulated radiation therapy (IMRT) and volumetric modulated arc therapy (VMAT). These modern approaches enable the delivery of high cumulative radiation doses to the tumor site using high-energy X-ray beams generated by a linear accelerator. Both IMRT and VMAT improve the quality of the patient&#x0027;s treatment plan and the sparing of the adjacent normal structures compared to conventional irradiation (<xref rid="b3-mco-0-0-02251" ref-type="bibr">3</xref>,<xref rid="b4-mco-0-0-02251" ref-type="bibr">4</xref>). A meta-analysis comparing the two aforementioned modulated techniques revealed that VMAT may be considered as the preferred approach to prostate cancer treatment due to its superior delivery efficiency (<xref rid="b5-mco-0-0-02251" ref-type="bibr">5</xref>).</p>
<p>VMAT is usually delivered with 6-MV photons in most radiation oncology centers (<xref rid="b6-mco-0-0-02251" ref-type="bibr">6</xref>). The use of 10-MV X-rays for arc therapy of prostate carcinoma has also been proposed (<xref rid="b7-mco-0-0-02251 b8-mco-0-0-02251 b9-mco-0-0-02251 b10-mco-0-0-02251" ref-type="bibr">7-10</xref>). Pasler <italic>et al</italic> (<xref rid="b7-mco-0-0-02251" ref-type="bibr">7</xref>) demonstrated that the effect of beam energy on the target coverage and organ at risk (OAR) sparing is not significant. Different results were reported by other studies (<xref rid="b8-mco-0-0-02251 b9-mco-0-0-02251 b10-mco-0-0-02251" ref-type="bibr">8-10</xref>). Kleiner and Podgorsak (<xref rid="b8-mco-0-0-02251" ref-type="bibr">8</xref>) found that the use of 10-MV instead of 6-MV X-rays was associated with better conformity and sparing of the critical organs. Stanley <italic>et al</italic> (<xref rid="b9-mco-0-0-02251" ref-type="bibr">9</xref>) observed a faster dose fall-off with 10-MV photon beams. Mattes <italic>et al</italic> (<xref rid="b10-mco-0-0-02251" ref-type="bibr">10</xref>) also reported that the increase of photon beam energy resulted in dosimetric benefits. However, none of those studies discussed the issue of radiation-induced carcinogenesis due to the heavy irradiation of surrounding tissues.</p>
<p>The purpose of the present study was to examine the effect of 6-MV and 10-MV photon beam energies on the VMAT plan quality for prostate cancer, as well as on the relevant risk of secondary cancer induction.</p>
</sec>
<sec sec-type="Materials|methods">
<title>Materials and methods</title>
<sec>
<title/>
<sec>
<title>Prostate cancer patients</title>
<p>A total of 11 consecutive patients with newly diagnosed low-risk prostate cancer, who underwent external-beam radiation therapy at the Department of Radiotherapy and Oncology of the University Hospital of Iraklion between July and December 2019, were studied. All patients had ultrasound-guided transrectal biopsy-proven clinical T1-T2aN0M0 disease with Gleason score 3+3/grade 1 and prostate-specific antigen &#x003C;10 ng/ml. None of the participants had been subjected to transurethral resection and/or hormone therapy prior to irradiation. Patients with hip implants were excluded from the study. The patients had been subjected to a planning computed tomography (CT) examination with a comfortably full urinary bladder and an empty rectum. The age of each study participant is presented in <xref rid="f1-mco-0-0-02251" ref-type="fig">Fig. 1</xref>. The mean patient&#x0027;s age &#x00B1; one standard deviation (SD) was 68.0&#x00B1;2.5 years.</p>
</sec>
<sec>
<title>Contouring and treatment planning</title>
<p>The treatment planning process was carried out with the Monaco system, version 5.11.03 (Elekta Instrument AB). The CT images of the study participants were transferred to the aforementioned system. The rectum, urinary bladder, and right and left femoral heads were manually delineated and were considered as the OARs. A radiation oncologist was responsible for the contouring of the structures of interest on CT scans. The rectal boundaries were drawn from the anus to the rectosigmoid flexure. The clinical target volume (CTV) coincided with the manually delineated prostate gland. The planning target volume (PTV) was calculated as the CTV with a margin of 0.5-0.8 cm in all directions, except posteriorly, where a margin of 0.4 cm was applied (<xref rid="b11-mco-0-0-02251" ref-type="bibr">11</xref>). Moderate hypofractionated irradiation was used for the treatment of low-risk prostate cancer patients, as suggested in the literature (<xref rid="b11-mco-0-0-02251" ref-type="bibr">11</xref>,<xref rid="b12-mco-0-0-02251" ref-type="bibr">12</xref>). All patients were prescribed to receive 70 Gy to the PTV in 28 fractions using VMAT on a newly installed medical linear accelerator (Elekta Instrument AB) emitting 6-MV and 10-MV photons.</p>
<p>For each study participant, two VMAT plans with 6-MV and 10-MV X-rays were generated. The applied VMAT technique consisted of two full arcs with the same isocenter in clockwise and counterclockwise directions. The beam delivery was continuous over each arc. The beam was modulated by dynamic multileaf collimation, variable dose rate and speed of gantry rotation. The dose calculations of the VMAT plans were made using a Monte Carlo algorithm. The dose constraints for the PTV and OARs were based on previous reports (<xref rid="b11-mco-0-0-02251" ref-type="bibr">11</xref>,<xref rid="b13-mco-0-0-02251" ref-type="bibr">13</xref>) and they are presented in <xref rid="tI-mco-0-0-02251" ref-type="table">Table I</xref>. Cumulative dose-volume histograms (DVHs) of the aforementioned structures were employed to determine the relevant V<sub>i</sub>, defined as the percentage of the target or OAR volume absorbing a radiation dose equal to i Gy. The normal tissue integral dose (NTID) was also calculated as the product of the average dose to a region, including normal tissues minus PTV, and the volume of this region. The number of monitor units (MU) was recorded for each plan.</p>
</sec>
<sec>
<title>Radiation-induced bladder and rectal cancer risks</title>
<p>Radiotherapy for prostate cancer may increase the risk of development of radiation-induced malignancies to the adjacent bladder and rectum (<xref rid="b14-mco-0-0-02251" ref-type="bibr">14</xref>). These secondary cancer risks were estimated in the present study. The DVHs of rectum and bladder derived from each VMAT plan demonstrated that these organs receive an inhomogeneous dose distribution. Parts of these OARs are exposed to primary radiation and, therefore, they receive high doses, similar to the dose delivered to the target. For radiation doses up to &#x007E;2 Gy, the risk of radiation carcinogenesis is linearly related to the absorbed dose (<xref rid="b15-mco-0-0-02251" ref-type="bibr">15</xref>). The extrapolation of the linear-no-threshold model to high therapeutic doses is currently in dispute (<xref rid="b15-mco-0-0-02251" ref-type="bibr">15</xref>,<xref rid="b16-mco-0-0-02251" ref-type="bibr">16</xref>). Schneider <italic>et al</italic> (<xref rid="b17-mco-0-0-02251" ref-type="bibr">17</xref>) previously introduced the concept of the organ equivalent dose (OED), which considers the inhomogeneous dose distribution of partially in-field organs from radiotherapy. The non-linear mechanistic model is based on the use of the OED. The model parameters were defined by data obtained from Japanese A-bomb and Hodgkin cohorts for doses similar to radiation therapy (<xref rid="b17-mco-0-0-02251" ref-type="bibr">17</xref>).</p>
<p>Differential DVHs were employed to compute the OED of bladder and rectum from all VMAT plans with 6-MV or 10-MV photons with the formula:</p>
<disp-formula id="e1-mco-0-0-02251">
<graphic xlink:href="mco-14-05-02251-g00.tif" />
</disp-formula>
<p>where V<sub>o</sub> is the overall organ volume as measured from CT scans, V<sub>Di</sub> is the organ volume receiving a radiation dose of Di, and R is the organ-dependent repopulation parameter. The cell-kill parameter was calculated as follows:</p>
<disp-formula id="e2-mco-0-0-02251">
<graphic xlink:href="mco-14-05-02251-g01.tif" />
</disp-formula>
<p>where &#x03B1; and &#x03B2; are the linear quadratic model factors and <italic>n</italic> is the number of fractions delivered during the whole radiotherapy course. The excess absolute risk (EAR) for developing bladder or rectal malignancies due to VMAT for prostate cancer was estimated using the following equation:</p>
<disp-formula id="e3-mco-0-0-02251">
<graphic xlink:href="mco-14-05-02251-g02.tif" />
</disp-formula>
<p>where <italic>&#x03B2;<sub>EAR</sub></italic> is the slope of the dose-response curve in the low-dose region for individuals in Western countries, <italic>age<sub>e</sub></italic> is the patient&#x0027;s age at the time of irradiation, <italic>age<sub>a</sub></italic> is the attained age of the patient and <italic>&#x03B3;<sub>e</sub></italic>, <italic>&#x03B3;<sub>a</sub></italic> are the age-modifying factors (<xref rid="b17-mco-0-0-02251" ref-type="bibr">17</xref>). The parameters <italic>R</italic>, <italic>&#x03B1;</italic>, &#x03B2;, <italic>&#x03B2;<sub>EAR</sub></italic>, <italic>&#x03B3;<sub>e</sub></italic> and <italic>&#x03B3;<sub>a</sub></italic> for the bladder and rectum were derived from the literature (<xref rid="b17-mco-0-0-02251" ref-type="bibr">17</xref>,<xref rid="b18-mco-0-0-02251" ref-type="bibr">18</xref>) and they are summarized in <xref rid="tII-mco-0-0-02251" ref-type="table">Table II</xref>. The lifetime attributable risk (LAR) was calculated by summing the EAR values over an attained age from a latent period of cancer induction of 5 years after radiotherapy to a final attained age of 80 years. The LAR was calculated using the formula:</p>
<disp-formula id="e4-mco-0-0-02251">
<graphic xlink:href="mco-14-05-02251-g03.tif" />
</disp-formula>
<p>where the quantity <italic>S</italic>(<italic>age<sub>a</sub></italic>)/<italic>S</italic>(<italic>age<sub>e</sub></italic>) refers to the probability of a male patient to survive from <italic>age<sub>e</sub></italic> to <italic>age<sub>a</sub></italic> according to the most recent United States life tables (<xref rid="b19-mco-0-0-02251" ref-type="bibr">19</xref>).</p>
</sec>
<sec>
<title>Bland-Altman analysis</title>
<p>The agreement of the lifetime risks for developing bladder or rectal malignancies due to VMAT plans with 6-MV photons with those from arc therapy based on the use of 10-MV X-rays was assessed using Bland-Altman analysis. This statistical test is widely used for the determination of the exact levels of agreement along with the respective confidence intervals between the two experimental methods. Bland-Altman analysis was made using the software package GraphPad Prism v.4.0 (GraphPad Software, Inc.). For each patient, the percentage difference between the organ-specific LARs estimated with the low and high photon energy was plotted against the mean LAR value. The mean percentage difference associated with bladder or rectal cancer risk was calculated. The 95&#x0025; limits of agreement are presented as the mean difference &#x00B1;1.96 SD of the differences.</p>
</sec>
</sec>
</sec>
<sec sec-type="Results">
<title>Results</title>
<sec>
<title/>
<sec>
<title>Parameters derived from VMAT plans</title>
<p>The mean values of the parameters associated with the target site and critical organs, as derived from the treatment plans of all patients, are summarized in <xref rid="tIII-mco-0-0-02251" ref-type="table">Table III</xref>. The analysis of the DVHs revealed that the femoral heads were not exposed to doses up to 45 Gy (V<sub>45</sub>=0&#x0025;) irrespective of the X-ray beam energy used. Moreover, no volume of the bladder or rectum received a radiation dose &#x003E;74 Gy for all VMAT plans (V<sub>74</sub>=0&#x0025;). The difference between the mean V<sub>i</sub> of the parameters of the urinary bladder and rectum, as determined by the VMAT plans with 6-MV and 10-MV photons, varied between 1.4 and 3.4&#x0025;. The corresponding difference for the mean V<sub>70</sub> of the PTV and the mean NTID was found to be 0.2 and 2.7&#x0025;, respectively. Prostate irradiation with the high photon energy resulted in a mean MU reduction of 11.8&#x0025; compared to arc therapy using low-energy X-rays.</p>
</sec>
<sec>
<title>Radiation-induced bladder and rectal cancer risks</title>
<p>The mean OED of bladder and rectum from the 6-MV VMAT plans of all patients was 0.65&#x00B1;0.18 and 8.69&#x00B1;0.48 Gy, respectively. The corresponding OED due to treatment with a higher photon energy was 0.63&#x00B1;0.16 and 8.63&#x00B1;0.50 Gy. The LAR for bladder cancer induction from VMAT with 6-MV photons varied between 0.042 and 0.129&#x0025;, whereas the use of 10-MV X-rays led to LARs of 0.041-0.123&#x0025; (<xref rid="f2-mco-0-0-02251" ref-type="fig">Fig. 2</xref>). The LAR range for developing secondary rectal malignancies due to VMAT with the low and high photon energy was 0.048-0.153 and 0.047-0.150&#x0025;, respectively (<xref rid="f3-mco-0-0-02251" ref-type="fig">Fig. 3</xref>).</p>
<p>Based on the Bland-Altman analysis, the mean percentage difference of the probability for developing bladder malignancies from VMAT plans created with 6-MV and 10-MV photons was 2.6&#x00B1;2.3&#x0025; (<xref rid="f4-mco-0-0-02251" ref-type="fig">Fig. 4</xref>). The 95&#x0025; limits of agreement were equal to-1.9 and 7.1&#x0025; (<xref rid="f4-mco-0-0-02251" ref-type="fig">Fig. 4</xref>). The corresponding mean difference for the second rectal cancer risk was found to be 0.7&#x00B1;0.6&#x0025;, with limits of agreement of -0.5 and 1.9&#x0025; (<xref rid="f5-mco-0-0-02251" ref-type="fig">Fig. 5</xref>).</p>
</sec>
</sec>
</sec>
<sec sec-type="Discussion">
<title>Discussion</title>
<p>In the present study, the effect of 6-MV and 10-MV photons on the VMAT plans for prostate cancer and on the probability for developing secondary bladder or rectal malignancies were investigated. No attempts were made to use higher photon beam energies for treatment planning. It is well known that there is no neutron contamination when medical linear accelerators operate at 6-MV. The neutron production is also minimal for treatment with 10-MV X-rays (<xref rid="b20-mco-0-0-02251" ref-type="bibr">20</xref>). By contrast, the contribution of the neutron dose to the total dose of critical organs becomes significant when radiation therapy is delivered with 15-MV or 18 MV photon beams (<xref rid="b20-mco-0-0-02251" ref-type="bibr">20</xref>).</p>
<p>The DVH parameters of the two plans of each patient satisfied the previously published dose constraints (<xref rid="b11-mco-0-0-02251" ref-type="bibr">11</xref>,<xref rid="b13-mco-0-0-02251" ref-type="bibr">13</xref>). The differences in the mean values of the parameters related to PTV, OARs and surrounding normal tissues, as defined by the plans with 6-MV and 10-MV photon energies, were found to be rather small. The aforementioned minor discrepancies are consistent with the results of previous reports on IMRT (<xref rid="b21-mco-0-0-02251" ref-type="bibr">21</xref>) and VMAT (<xref rid="b7-mco-0-0-02251" ref-type="bibr">7</xref>) for prostate cancer. In the present study, the only noteworthy discrepancy between the plans generated with the two different photon energies was observed for the treatment delivery time. The mean value of the MUs calculated for 10-MV VMAT plans was by 11.8&#x0025; lower compared with that associated with 6-MV treatment.</p>
<p>The lifetime risk for radiotherapy-induced bladder malignancies varied between 0.041 and 0.129&#x0025; by the patient under investigation and the photon energy used for VMAT of prostate cancer. The corresponding probability for developing secondary rectal malignancies was 0.047-0.153&#x0025;. The lifetime risks of carcinogenesis were estimated from a patient group with a mean age of 68 years subjected to hypofractionated VMAT for prostate carcinoma up to a dose of 70 Gy. Limited information has been published on the probability of developing secondary malignancies from prostate irradiation using hypofractionation schedules (<xref rid="b13-mco-0-0-02251" ref-type="bibr">13</xref>,<xref rid="b22-mco-0-0-02251" ref-type="bibr">22</xref>). The cancer risks of the present study are consistent with those of a previous report on hypofractionated treatment with 6-MV photons at the ages of 60 and 70 years (<xref rid="b13-mco-0-0-02251" ref-type="bibr">13</xref>), reporting lifetime bladder and rectal cancer risks of 0.06-0.18&#x0025; and 0.07-0.20&#x0025;, respectively. Stokkevag <italic>et al</italic> (<xref rid="b22-mco-0-0-02251" ref-type="bibr">22</xref>) provided a wide range of bladder and rectal cancer risks of 0.01-0.80&#x0025; for 60-year-old patients receiving 67.5 Gy to the prostate and simultaneously 60 Gy to the seminal vesicles in 25 fractions with 6-MV VMAT. Their estimates were obtained with a linear-plateau association and a bell-shaped competition model. Bladder and rectal cancer risks from standard fractionated IMRT and VMAT for prostate carcinoma have also been reported (<xref rid="b18-mco-0-0-02251" ref-type="bibr">18</xref>,<xref rid="b23-mco-0-0-02251" ref-type="bibr">23</xref>,<xref rid="b24-mco-0-0-02251" ref-type="bibr">24</xref>). These theoretical risks were estimated for total tumor doses of 75.6-78.0 Gy in daily fractions of 1.8-2.0 Gy. Murray <italic>et al</italic> (<xref rid="b18-mco-0-0-02251" ref-type="bibr">18</xref>) and Fontenot <italic>et al</italic> (<xref rid="b23-mco-0-0-02251" ref-type="bibr">23</xref>) did not report lifetime risks of carcinogenesis. Sanchez-Nietto <italic>et al</italic> (<xref rid="b24-mco-0-0-02251" ref-type="bibr">24</xref>) reported lifetime probabilities of 0.4-0.5&#x0025; from IMRT and VMAT for a prostate cancer patient aged 60 years.</p>
<p>The Bland-Altman statistical test revealed that the bladder cancer risk associated with arc therapy using the low photon energy may be up to 7.1&#x0025; higher or 1.9&#x0025; lower than the respective risk value from irradiation with the high energy of X-rays in 95&#x0025; of the cases. The 95&#x0025; limits of agreement for the rectal cancer risk were -0.5 and 1.9&#x0025;. These narrow limits clearly indicate that the differences between the VMAT plans created with 6-MV and 10-MV photons in the assessment of the second cancer risks are minor.</p>
<p>The cancer risk assessments in the present study were carried out for the bladder and rectum, which are partly exposed to primary radiation during VMAT for prostate cancer. The use of data from treatment planning systems for out-of-field organ dose calculations is not recommended (<xref rid="b25-mco-0-0-02251" ref-type="bibr">25</xref>). Different approaches, based either on direct measurements using physical phantoms (<xref rid="b26-mco-0-0-02251" ref-type="bibr">26</xref>,<xref rid="b27-mco-0-0-02251" ref-type="bibr">27</xref>) or on Monte Carlo simulations (<xref rid="b28-mco-0-0-02251" ref-type="bibr">28</xref>), may be applied for assessing the out-of-field organ doses and the relevant probabilities of carcinogenesis. The relatively small sample of patients with low-risk prostate carcinoma should be considered as a limitation of the present study. It should be noted that this study provided lifetime bladder and rectal cancer risk estimates derived from the use of a non-linear mechanistic model introduced by Schneider <italic>et al</italic> (<xref rid="b17-mco-0-0-02251" ref-type="bibr">17</xref>). The model-based risk predictions may contain several uncertainties. These uncertainties are associated with the definition of the organ-specific parameters of the mechanistic model. The use of the absolute values of the model-based cancer risk predictions in clinical practice must be viewed with caution. The PTV of the study participants included only the prostate gland. Further studies are required to examine the effect of beam energy on the probability of carcinogenesis in prostate cancer patients irradiated at sites encompassing the seminal vesicles and/or pelvic lymph nodes (<xref rid="b7-mco-0-0-02251" ref-type="bibr">7</xref>,<xref rid="b29-mco-0-0-02251" ref-type="bibr">29</xref>).</p>
<p>In conclusion, the VMAT plans for low-risk prostate cancer patients generated with 6-MV or 10-MV photons were clinically equivalent in respect to target volume coverage and normal tissue sparing. The differences between the probabilities for developing secondary bladder and rectal malignancies due to pelvic VMAT with the low and high energy X-rays were found to be minimal. Therefore, the selection of the 10-MV photons may be considered as the optimal choice for prostate cancer treatment due to the reduction of the treatment time.</p>
</sec>
</body>
<back>
<ack>
<title>Acknowledgements</title>
<p>Not applicable.</p>
</ack>
<sec sec-type="data-availability">
<title>Availability of data and materials</title>
<p>The datasets used and/or analyzed during the present study are available from the corresponding author on reasonable request.</p>
</sec>
<sec>
<title>Authors&#x0027; contributions</title>
<p>MM and JD designed the study. SK performed the target and OAR contouring on CT scans. MM and JD were responsible for treatment planning process and second cancer risk assessments. All the authors have read and approved the final version of the manuscript.</p>
</sec>
<sec>
<title>Ethics approval and consent to participate</title>
<p>The present study was approved by the Ethics Committee of the University Hospital of Iraklion.</p>
</sec>
<sec>
<title>Patient consent for publication</title>
<p>Not applicable.</p>
</sec>
<sec sec-type="COI-statement">
<title>Competing interests</title>
<p>All the authors declare that they have no competing interests.</p>
</sec>
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</back>
<floats-group>
<fig id="f1-mco-0-0-02251" position="float">
<label>Figure 1</label>
<caption><p>Age of patients with prostate cancer.</p></caption>
<graphic xlink:href="mco-14-05-02251-g04.tif" />
</fig>
<fig id="f2-mco-0-0-02251" position="float">
<label>Figure 2</label>
<caption><p>LAR for the appearance of second bladder cancer due to VMAT of prostate cancer with 6-MV and 10-MV photons. VMAT, volumetric modulated arc therapy; LAR, lifetime attributable risk.</p></caption>
<graphic xlink:href="mco-14-05-02251-g05.tif" />
</fig>
<fig id="f3-mco-0-0-02251" position="float">
<label>Figure 3</label>
<caption><p>LAR for the appearance of second rectal cancer due to VMAT of prostate cancer with 6-MV and 10-MV photons. VMAT, volumetric modulated arc therapy; LAR, lifetime attributable risk.</p></caption>
<graphic xlink:href="mco-14-05-02251-g06.tif" />
</fig>
<fig id="f4-mco-0-0-02251" position="float">
<label>Figure 4</label>
<caption><p>Bland-Altman plot showing the difference between the LAR estimates for second bladder cancer induction due to VMAT of prostate carcinoma with 6-MV and 10-MV photons vs. the mean LAR. Solid line, mean risk difference; dotted lines, 95&#x0025; limits of agreement. VMAT, volumetric modulated arc therapy; LAR, lifetime attributable risk.</p></caption>
<graphic xlink:href="mco-14-05-02251-g07.tif" />
</fig>
<fig id="f5-mco-0-0-02251" position="float">
<label>Figure 5</label>
<caption><p>Bland-Altman plot showing the difference between the LAR estimates for second rectal cancer induction due to VMAT for prostate carcinoma with 6-MV and 10-MV photons vs. the mean LAR. Solid line, mean risk difference; dotted lines, 95&#x0025; limits of agreement. VMAT, volumetric modulated arc therapy; LAR, lifetime attributable risk.</p></caption>
<graphic xlink:href="mco-14-05-02251-g08.tif" />
</fig>
<table-wrap id="tI-mco-0-0-02251" position="float">
<label>Table I</label>
<caption><p>Dose constraints for PTV and organs at risk.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="middle">Structure</th>
<th align="center" valign="middle">Constraint</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">PTV</td>
<td align="center" valign="middle">V<sub>70</sub> &#x2265;98&#x0025;</td>
</tr>
<tr>
<td align="left" valign="middle">&#x00A0;</td>
<td align="center" valign="middle">D<sub>max</sub> &#x2264;74.9 Gy</td>
</tr>
<tr>
<td align="left" valign="middle">Bladder</td>
<td align="center" valign="middle">V<sub>74</sub> &#x2264;25&#x0025;</td>
</tr>
<tr>
<td align="left" valign="middle">&#x00A0;</td>
<td align="center" valign="middle">V<sub>69</sub> &#x2264;35&#x0025;</td>
</tr>
<tr>
<td align="left" valign="middle">&#x00A0;</td>
<td align="center" valign="middle">V<sub>64</sub> &#x2264;50&#x0025;</td>
</tr>
<tr>
<td align="left" valign="middle">Rectum</td>
<td align="center" valign="middle">V<sub>74</sub> &#x2264;15&#x0025;</td>
</tr>
<tr>
<td align="left" valign="middle">&#x00A0;</td>
<td align="center" valign="middle">V<sub>69</sub> &#x2264;20&#x0025;</td>
</tr>
<tr>
<td align="left" valign="middle">&#x00A0;</td>
<td align="center" valign="middle">V<sub>64</sub> &#x2264;25&#x0025;</td>
</tr>
<tr>
<td align="left" valign="middle">&#x00A0;</td>
<td align="center" valign="middle">V<sub>59</sub> &#x2264;35&#x0025;</td>
</tr>
<tr>
<td align="left" valign="middle">Femoral heads</td>
<td align="center" valign="middle">V<sub>45</sub> &#x003C;10&#x0025;</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>PTV, planning target volume.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="tII-mco-0-0-02251" position="float">
<label>Table II</label>
<caption><p>Organ-specific risk parameters of the mechanistic model.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="middle">Parameters</th>
<th align="center" valign="middle">Bladder</th>
<th align="center" valign="middle">Rectum</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">R</td>
<td align="center" valign="middle">0.06</td>
<td align="center" valign="middle">0.56</td>
</tr>
<tr>
<td align="left" valign="middle">&#x03B1;(Gy<sup>-1</sup>)</td>
<td align="center" valign="middle">0.219</td>
<td align="center" valign="middle">0.033</td>
</tr>
<tr>
<td align="left" valign="middle">&#x03B1;/&#x03B2;(Gy)</td>
<td align="center" valign="middle">3.0</td>
<td align="center" valign="middle">3.0</td>
</tr>
<tr>
<td align="left" valign="middle">&#x03B3;<sub>e</sub></td>
<td align="center" valign="middle">-0.024</td>
<td align="center" valign="middle">-0.056</td>
</tr>
<tr>
<td align="left" valign="middle">&#x03B3;<sub>a</sub></td>
<td align="center" valign="middle">2.38</td>
<td align="center" valign="middle">6.9</td>
</tr>
<tr>
<td align="left" valign="middle">&#x03B2;<sub>EAR</sub> (/10<sup>4</sup> PY Gy)</td>
<td align="center" valign="middle">3.8</td>
<td align="center" valign="middle">0.73</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>R, repopulation factor; &#x03B1;/&#x03B2;, linear quadratic parameters; &#x03B3;<sub>e</sub> and &#x03B3;<sub>a</sub> age-modifying factors; &#x03B2;<sub>EAR</sub> slope of the dose-response curve at low doses.</p></fn>
</table-wrap-foot>
</table-wrap>
<table-wrap id="tIII-mco-0-0-02251" position="float">
<label>Table III</label>
<caption><p>Mean value of each planning parameter &#x00B1; one SD calculated from VMAT plans with 6-MV and 10-MV photons.</p></caption>
<table frame="hsides" rules="groups">
<thead>
<tr>
<th align="left" valign="middle">&#x00A0;</th>
<th align="center" valign="middle" colspan="2">Mean parameter value (&#x00B1;SD)</th>
</tr>
<tr>
<th align="left" valign="middle">Parameters</th>
<th align="center" valign="middle">6-MV VMAT</th>
<th align="center" valign="middle">10-MV VMAT</th>
</tr>
</thead>
<tbody>
<tr>
<td align="left" valign="middle">PTV</td>
<td align="center" valign="middle">&#x00A0;</td>
<td align="center" valign="middle">&#x00A0;</td>
</tr>
<tr>
<td align="left" valign="middle">&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;V<sub>70</sub> (&#x0025;)</td>
<td align="center" valign="middle">98.6&#x00B1;0.4</td>
<td align="center" valign="middle">98.8&#x00B1;0.3</td>
</tr>
<tr>
<td align="left" valign="middle">Bladder</td>
<td align="center" valign="middle">&#x00A0;</td>
<td align="center" valign="middle">&#x00A0;</td>
</tr>
<tr>
<td align="left" valign="middle">&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;V<sub>74</sub> (&#x0025;)</td>
<td align="center" valign="middle">0.0</td>
<td align="center" valign="middle">0.0</td>
</tr>
<tr>
<td align="left" valign="middle">&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;V<sub>69</sub> (&#x0025;)</td>
<td align="center" valign="middle">9.4&#x00B1;5.0</td>
<td align="center" valign="middle">9.6&#x00B1;5.1</td>
</tr>
<tr>
<td align="left" valign="middle">&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;V<sub>64</sub> (&#x0025;)</td>
<td align="center" valign="middle">13.9&#x00B1;6.9</td>
<td align="center" valign="middle">14.3&#x00B1;7.1</td>
</tr>
<tr>
<td align="left" valign="middle">Rectum</td>
<td align="center" valign="middle">&#x00A0;</td>
<td align="center" valign="middle">&#x00A0;</td>
</tr>
<tr>
<td align="left" valign="middle">&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;V<sub>74</sub> (&#x0025;)</td>
<td align="center" valign="middle">0.0</td>
<td align="center" valign="middle">0.0</td>
</tr>
<tr>
<td align="left" valign="middle">&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;V<sub>69</sub> (&#x0025;)</td>
<td align="center" valign="middle">6.9&#x00B1;2.5</td>
<td align="center" valign="middle">7.0&#x00B1;2.3</td>
</tr>
<tr>
<td align="left" valign="middle">&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;V<sub>64</sub> (&#x0025;)</td>
<td align="center" valign="middle">12.8&#x00B1;4.3</td>
<td align="center" valign="middle">13.2&#x00B1;4.3</td>
</tr>
<tr>
<td align="left" valign="middle">&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;V<sub>59</sub> (&#x0025;)</td>
<td align="center" valign="middle">17.4&#x00B1;5.5</td>
<td align="center" valign="middle">18.0&#x00B1;5.6</td>
</tr>
<tr>
<td align="left" valign="middle">Femoral heads</td>
<td align="center" valign="middle">&#x00A0;</td>
<td align="center" valign="middle">&#x00A0;</td>
</tr>
<tr>
<td align="left" valign="middle">&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;V<sub>45</sub> (&#x0025;)</td>
<td align="center" valign="middle">0.0</td>
<td align="center" valign="middle">0.0</td>
</tr>
<tr>
<td align="left" valign="middle">Delivery time</td>
<td align="center" valign="middle">&#x00A0;</td>
<td align="center" valign="middle">&#x00A0;</td>
</tr>
<tr>
<td align="left" valign="middle">&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;Monitor units</td>
<td align="center" valign="middle">605.2&#x00B1;43.2</td>
<td align="center" valign="middle">537.6&#x00B1;34.4</td>
</tr>
<tr>
<td align="left" valign="middle">Normal tissues</td>
<td align="center" valign="middle">&#x00A0;</td>
<td align="center" valign="middle">&#x00A0;</td>
</tr>
<tr>
<td align="left" valign="middle">&#x00A0;&#x00A0;&#x00A0;&#x00A0;&#x00A0;NTID (Gy/l)</td>
<td align="center" valign="middle">126.1&#x00B1;18.5</td>
<td align="center" valign="middle">122.7&#x00B1;17.7</td>
</tr>
</tbody>
</table>
<table-wrap-foot>
<fn><p>PTV, planning target volume; VMAT, volumetric modulated arc therapy; NTID, normal tissue integral dose.</p></fn>
</table-wrap-foot>
</table-wrap>
</floats-group>
</article>
