<?xml version="1.0" encoding="UTF-8"?><!DOCTYPE article  PUBLIC "-//NLM//DTD Journal Publishing DTD v3.0 20080202//EN" "http://dtd.nlm.nih.gov/publishing/3.0/journalpublishing3.dtd"><article xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink" dtd-version="3.0" xml:lang="en" article-type="research article"><front><journal-meta><journal-id journal-id-type="publisher-id">IJMPCERO</journal-id><journal-title-group><journal-title>International Journal of Medical Physics, Clinical Engineering and Radiation Oncology</journal-title></journal-title-group><issn pub-type="epub">2168-5436</issn><publisher><publisher-name>Scientific Research Publishing</publisher-name></publisher></journal-meta><article-meta><article-id pub-id-type="doi">10.4236/ijmpcero.2021.103012</article-id><article-id pub-id-type="publisher-id">IJMPCERO-111516</article-id><article-categories><subj-group subj-group-type="heading"><subject>Articles</subject></subj-group><subj-group subj-group-type="Discipline-v2"><subject>Medicine&amp;Healthcare</subject><subject> Physics&amp;Mathematics</subject></subj-group></article-categories><title-group><article-title>
 
 
  Constraint Analysis and Bladder Wall Low-Dose-Constraint Reduction in Five-Fraction Urethra-Sparing Prostate SBRT
 
</article-title></title-group><contrib-group><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Alejandro</surname><given-names>Prado</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Inés</surname><given-names>Flores</given-names></name><xref ref-type="aff" rid="aff2"><sup>2</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Ángel</surname><given-names>Montero</given-names></name><xref ref-type="aff" rid="aff3"><sup>3</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Miguel</surname><given-names>Ángel de la Casa</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Leyre</surname><given-names>Alonso</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Jaime</surname><given-names>Martí</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Pedro</surname><given-names>Fernández-Letón</given-names></name><xref ref-type="aff" rid="aff1"><sup>1</sup></xref></contrib><contrib contrib-type="author" xlink:type="simple"><name name-style="western"><surname>Carmen</surname><given-names>Rubio</given-names></name><xref ref-type="aff" rid="aff3"><sup>3</sup></xref></contrib></contrib-group><aff id="aff1"><addr-line>Medical Physics and Radiation Protection Department, Hospital Universitario HM Sanchinarro, HM Hospitales, Madrid, Spain</addr-line></aff><aff id="aff3"><addr-line>Radiation Oncology Department, Hospital Universitario HM Sanchinarro, HM Hospitales, Madrid, Spain</addr-line></aff><aff id="aff2"><addr-line>Medical Physics and Radiation Protection Department, Hospital General de la Defensa Gómez Ulla, Madrid, Spain</addr-line></aff><pub-date pub-type="epub"><day>29</day><month>07</month><year>2021</year></pub-date><volume>10</volume><issue>03</issue><fpage>132</fpage><lpage>148</lpage><history><date date-type="received"><day>1,</day>	<month>July</month>	<year>2021</year></date><date date-type="rev-recd"><day>23,</day>	<month>August</month>	<year>2021</year>	</date><date date-type="accepted"><day>26,</day>	<month>August</month>	<year>2021</year></date></history><permissions><copyright-statement>&#169; Copyright  2014 by authors and Scientific Research Publishing Inc. </copyright-statement><copyright-year>2014</copyright-year><license><license-p>This work is licensed under the Creative Commons Attribution International License (CC BY). http://creativecommons.org/licenses/by/4.0/</license-p></license></permissions><abstract><p>
 
 
  Aim: To compare and analyze dose constraints and target coverage results and to reduce Bladder Wall (B
  <sub>wall</sub>) V
  <sub>18.12</sub> for prostate Stereotactic-Body Radiation Therapy (SBRT) when Seminal Vesicles (SSVV) are included or not. Several indicators based on intersection volumes are obtained to predict constraint fulfillment. 
  Background: Due to prostate’s low alpha-beta ratio and the possibility of increasing the therapeutic ratio several moderate and extreme hypofractionation schemes have been proposed. The scheme selected was a fivefraction urethra-sparing prostate SBRT. 
  Materials and Methods: 150 patients divided into two groups according to the inclusion of SSVV in PTV or not were analyzed. Histograms, average values, standard deviations and degrees of fulfillment were obtained for each constraint or goal and group. A possible reduction of the B
  <sub>wall</sub> V
  <sub>18.12</sub> was addressed by re-optimizing fifty randomly chosen patients. Predictors of constraint fulfilling were obtained by using the intersections of B
  <sub>wall</sub> and Rectum Wall (R
  <sub>wall</sub>) with the PTV. 
  Results: Significant differences in R
  <sub>wall</sub> V
  <sub>32.62</sub> and V
  <sub>29</sub> were obtained when evaluating the influence of SSVV inclusion. A reduction of 12% in the B
  <sub>wall</sub> V
  <sub>18.12</sub> constraint was achieved without compromising coverage and OARs doses. No dependence on the inclusion of SSVV was found. 
  Conclusions: Statistically significant differences have been found in R
  <sub>wall</sub> intermediate-dose constraint when SSVV was included. A reduction of 12% in the B
  <sub>wall</sub> V
  <sub>18.12</sub> constraint has been achieved without compromising the PTV coverage and the rest of OARs constraints. Constraint fulfillment predictors could be useful to evaluate the feasibility of prostate SBRT prior to the planning process for every single patient.
 
</p></abstract><kwd-group><kwd>Prostate SBRT</kwd><kwd> Urethra Sparing</kwd><kwd> Bladder Wall</kwd><kwd> Rectum Wall</kwd><kwd> Seminal Vesicles</kwd></kwd-group></article-meta></front><body><sec id="s1"><title>1. Introduction</title><p>Prostate cancer is the most common cancer in men nowadays [<xref ref-type="bibr" rid="scirp.111516-ref1">1</xref>]. However, its mortality is reduced compared to other tumors such as lung cancer or colon cancer [<xref ref-type="bibr" rid="scirp.111516-ref2">2</xref>]. One of the main treatment options offered to patients is radiation therapy in the form of External Beam Radiation Therapy (EBRT) or Brachytherapy (BT) [<xref ref-type="bibr" rid="scirp.111516-ref3">3</xref>]. Although there have been no randomized trials comparing the outcomes of EBRT, BT and prostatectomy, collected data suggest that the three treatments have similar outcomes [<xref ref-type="bibr" rid="scirp.111516-ref4">4</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref5">5</xref>].</p><p>External radiation therapy has the advantage of being a non-invasive technique. Moreover, conventional fractionation schemes have implied low side effects. However, the high number of fractions (over 40) has caused several logistical issues for patients [<xref ref-type="bibr" rid="scirp.111516-ref6">6</xref>] while supposing a considerable increase in human and economic resources. Decreasing the number of fractions has entailed a considerable benefit for patients and has increased its convenience. As a consequence, several moderate hypofractionation schemes have been proposed, with the dose per fraction ranging from 2.5 to 4 Gy [<xref ref-type="bibr" rid="scirp.111516-ref7">7</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref8">8</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref10">10</xref>]. Late toxicity and freedom from biochemical failure were not statistically significant between conventional and moderate hypofractionation schemes [<xref ref-type="bibr" rid="scirp.111516-ref7">7</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref8">8</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref9">9</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref10">10</xref>].</p><p>SBRT represents an extreme form of hypofractionation in which treatment is usually delivered in 4 - 7 fractions. Advances in radiobiological knowledge justify the use of SBRT in prostate cancer. The alpha/beta ratio is a radiobiological parameter that theoretically defines the sensitivity of each tissue to changes in treatment fractionation. Lower values of this ratio imply a higher sensitivity of the associated tissue to changes in fractionation. Evidence suggests that prostate alpha/beta ratio is nearly 1.5 Gy [<xref ref-type="bibr" rid="scirp.111516-ref11">11</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref12">12</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref13">13</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref14">14</xref>] or even lower, which is much lower than those of neighboring tissues such as the Rectum Wall, urethra or Bladder Wall (3 - 5 Gy) [<xref ref-type="bibr" rid="scirp.111516-ref15">15</xref>]. These differences suggest the possibility of having a greater Biological Equivalent Dose (BED) to the tumor while improving the therapeutic ratio [<xref ref-type="bibr" rid="scirp.111516-ref16">16</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref17">17</xref>], supporting extreme hypofractionated SBRT as the ideal approach [<xref ref-type="bibr" rid="scirp.111516-ref18">18</xref>].</p><p>Toxicity to the Rectum Wall is of major concern when designing a prostate SBRT treatment. As it is shown in [<xref ref-type="bibr" rid="scirp.111516-ref19">19</xref>] it is correlated with high doses to the rectum wall. Several strategies have been implemented to reduce rectum wall doses, mainly by means of planning strategies [<xref ref-type="bibr" rid="scirp.111516-ref20">20</xref>], by the utilization of an endorectal balloon [<xref ref-type="bibr" rid="scirp.111516-ref21">21</xref>] or by the insertion of prostate-rectal spacers [<xref ref-type="bibr" rid="scirp.111516-ref22">22</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref23">23</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref24">24</xref>]. Under-dosing the periurethral transition zone of the prostate may be employed to reduce the risk of urinary toxicity after radiation therapy [<xref ref-type="bibr" rid="scirp.111516-ref25">25</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref26">26</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref27">27</xref>]. With respect to bladder toxicity, several studies have shown that the bladder behaves like a serial organ, which implies a strong sensitivity to high doses in a reduced volume [<xref ref-type="bibr" rid="scirp.111516-ref28">28</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref29">29</xref>]. In [<xref ref-type="bibr" rid="scirp.111516-ref30">30</xref>] a significant association of late urinary flare with dose to the hottest 12.7% of bladder volume was reported when 36.25 Gy in five fractions were delivered to the prostate.</p><p>Results from prostate SBRT phase II studies on large patient populations are encouraging in terms of tumor control and toxicity [<xref ref-type="bibr" rid="scirp.111516-ref31">31</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref32">32</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref33">33</xref>]. Also, several retrospectives and phase II studies have been published [<xref ref-type="bibr" rid="scirp.111516-ref34">34</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref35">35</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref36">36</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref37">37</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref38">38</xref>] finding encouraging results, well tolerance and excellent pathologic and biochemical control [<xref ref-type="bibr" rid="scirp.111516-ref39">39</xref>]. One of these trials is the Novalis Circle prospective randomized trial [<xref ref-type="bibr" rid="scirp.111516-ref33">33</xref>]. The constraints and fractionation used in that trial are those implemented in our work.</p><p>The main purpose of this article is to compare and analyze the dose constraint and dose goal results obtained at our center for five-fraction urethra-sparing prostate SBRT when seminal vesicles are involved or not. Two secondary objectives are also addressed. On the one hand, the relationship between volume constraints for R<sub>wall</sub> and B<sub>wall</sub> and the relative OAR volume inside PTV<sub>36.25</sub>. On the other hand, the possibility of significantly reducing the V<sub>18.12</sub> B<sub>wall</sub> dose constraint without compromising the coverage of the target volumes and whether this reduction depends on the inclusion of the SSVV or not.</p></sec><sec id="s2"><title>2. Material and Methods</title><sec id="s2_1"><title>2.1. Patient Selection</title><p>A total of 150 patients with prostate carcinoma stage cT1-3aN0M0 treated between 2017 and 2020 at our institution were retrospectively analyzed for this study. SSVV were included in 58 patients and for the remaining 92 only whole prostate was considered. The elected patients’ risk of nodal microscopic involvement was lower than 20% according to [<xref ref-type="bibr" rid="scirp.111516-ref40">40</xref>] allowing not considering elective pelvic nodal irradiation in any case.</p></sec><sec id="s2_2"><title>2.2. Simulation</title><p>For each patient, a Computed Tomography (CT) simulation scan was performed. Axial slices of 2 mm thickness were utilized and a Toshiba Aquilion CT scanner (Canon Medical Systems, Otawara, Japan) was employed.</p><p>Five radiopaque markers placed in the patient’s surface were used for localization and set up purposes when utilizing the ExacTrac imaging system (BrainLAB AG, Munich, Germany). Patients were positioned in a supine position and were immobilized using the Combifix system (Civco Radiotherapy, Coralville, Iowa).</p><p>An Endorectal Balloon (ERB) inflated with 80 cc was employed to minimize rectum intrafraction motion and improve prostate fixation. Patients were asked to empty their bladder and drink 600 ml of water half an hour prior to the simulation. A contrast agent was utilized to facilitate bladder contouring. Also, a Foley’s catheter was introduced for accurate urethra delineation.</p><p>Two fiducials were implanted transperineally in the prostate aided by ultrasound guidance several days prior to CT acquisition. These fiducial markers were of great importance as they were utilized as surrogates for the prostate position when oblique X-ray images were obtained.</p></sec><sec id="s2_3"><title>2.3. Contouring</title><p>The bladder was contoured with the aid of a contrast agent. The use of an ERB helped in rectum contouring and R<sub>wall</sub> definition. R<sub>wall</sub> was created as a 3 mm thick ring centered in the rectum contour. For B<sub>wall</sub> a 5 mm thick ring centered in the bladder contour was utilized. Penile bulb and proximal femoral heads were also delineated.</p><p>The urethra was contoured using a Foley’s catheter filled with a saline solution as a guide. The planning risk volume for the Urethra (U<sub>PRV</sub>) was created as an isotropic 3 mm expansion.</p><p>In cases where SSVV were to be treated alongside with the prostate both the prostate gland and the SSVV were contoured separately. An isotropic 5 mm margin was applied to the SSVV to create the PTV SSVV. Regarding prostate PTV, a 5 mm expansion was utilized except for the rectum direction, in which a 3 mm expansion was applied.</p><p>The PTV<sub>36.25</sub> was defined as the prostate PTV or as the sum of prostate and SSVV PTVs, minus the U<sub>PRV</sub>.</p></sec><sec id="s2_4"><title>2.4. Treatment Planning</title><p>All plans were optimized using RayStation version 8A (RaySearch Laboratories, Stockholm, Sweden) utilizing a collapsed cone algorithm. Patients were treated utilizing a 6 MV Novalis (Varian Medical Systems, PA, California and BrainLAB AG, Munich, Germany) with an ExacTrac X-ray imaging system (BrainLAB AG, Munich, Germany).</p><p>The beam arrangement used was composed of four VMAT arcs. Two clockwise arcs ranging from 200˚ to 160˚ and two counter-clockwise arcs covering the same angle range were employed. Collimator angles were selected so as to reduce the influence of the tongue and groove effect. The chosen angles were 250˚, 290˚, 350˚ and 10˚. The last two angles made the leaves travel parallel to the urethra in order to achieve a modulation that facilitated its sparing. It is worth mentioning that, for the Novalis system, a collimator angle of 0˚ implies the leaves moving in the in-plane direction when the gantry is placed at 0˚. The grid size for dose calculations was set to 2 mm &#215; 2 mm &#215; 2 mm.</p><p>The OAR dose constraints used were those of the Novalis Circle Phase II prospective randomized study for low risk prostate cancer SBRT [<xref ref-type="bibr" rid="scirp.111516-ref28">28</xref>]. These values are summarized in <xref ref-type="table" rid="table1">Table 1</xref>.</p></sec><sec id="s2_5"><title>2.5. Data Analysis</title><sec id="s2_5_1"><title>2.5.1. Histogram Analysis of Constraints and Goals</title><p>Patients were divided into two groups regarding SSVV inclusion in the PTV<sub>36.25</sub></p><table-wrap id="table1" ><label><xref ref-type="table" rid="table1">Table 1</xref></label><caption><title> Constraints employed for OARs and objectives por PTV<sub>36.25</sub> and U<sub>PRV</sub></title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  >ROI</th><th align="center" valign="middle"  colspan="2"  >Clinical Goals</th></tr></thead><tr><td align="center" valign="middle" >Constraints/Objectives</td><td align="center" valign="middle" >Value</td></tr><tr><td align="center" valign="middle" >Femoral Heads</td><td align="center" valign="middle" >D<sub>2%</sub></td><td align="center" valign="middle" >&lt;18.12 Gy</td></tr><tr><td align="center" valign="middle" >Penile Bulb</td><td align="center" valign="middle" >D<sub>avg</sub></td><td align="center" valign="middle" >&lt;27.2 Gy</td></tr><tr><td align="center" valign="middle" >Rectum Wall</td><td align="center" valign="middle" >V<sub>36.25</sub> V<sub>32.62 </sub> V<sub>29</sub></td><td align="center" valign="middle" >&lt;5% &lt;10% (acceptable 15%) &lt;20% (acceptable 25%)</td></tr><tr><td align="center" valign="middle" >Bladder Wall</td><td align="center" valign="middle" >V<sub>36.25 </sub> V<sub>32.62 </sub> V<sub>18.12</sub></td><td align="center" valign="middle" >&lt;10% (acceptable 15%) &lt;20% &lt;50%</td></tr><tr><td align="center" valign="middle" >U<sub>PRV</sub></td><td align="center" valign="middle" >D<sub>50%</sub> D<sub>98%</sub> D<sub>5%</sub> D<sub>2%</sub></td><td align="center" valign="middle" >&lt;32.5 Gy &gt;30.87 Gy &lt;34.77 Gy &lt;35.75 Gy</td></tr><tr><td align="center" valign="middle" >PTV<sub>36.25</sub></td><td align="center" valign="middle" >D<sub>98%</sub> D<sub>5%</sub> D<sub>2%</sub></td><td align="center" valign="middle" >&gt;34.43 Gy &lt;38.79 Gy &lt;39.88 Gy</td></tr></tbody></table></table-wrap><p>or not. OAR dose and volume constraints were recorded. Also, PTV<sub>36.25</sub> coverage (D<sub>98%</sub>) and high doses inside the PTV<sub>36.25</sub> (D<sub>5%</sub> and D<sub>2%</sub>) were analyzed. For each group and constraint (or target goal) a histogram was created. To obtain the optimum number of bins for every histogram the Sturges’ formula was used. As the number of patients was different depending on the inclusion of the SSVV or not the Sturges’ formula provided a distinct recommended number of bins for SSVV patients and for non-SSVV patients.</p><p>Percentile curves were calculated to elucidate the degree of fulfillment for each constraint/goal. These results were recorded as percentage values.</p><p>For PTV<sub>36.25</sub>, U<sub>PRV</sub>, R<sub>wall</sub> and B<sub>wall</sub> Dose-Volume Histogram (DVH) values were exported from the treatment planning system. A linear interpolation was performed to re-combine the histograms in a common dose grid (horizontal axis). Only when this procedure was carried out, and each OAR/target DVH had the same horizontal axis grid and range, it was possible to calculate average DVHs and 95% Confidence Intervals (CI) for each OAR and target volume considered. It is worth mentioning that the differences between original and interpolated DVHs were estimated to be less than 0.2%.</p><p>When comparing SSVV and non-SSVV groups a Mann-Whitney test was performed using a significance level of 0.05. Hence, p-values lower than the significance level implied statistical significance.</p></sec><sec id="s2_5_2"><title>2.5.2. Relationships between Dose Constraints and PTV-OAR Intersections</title><p>There would be patients which might not be eligible candidates for five-fraction urethra-sparing prostate SBRT. This is because OAR constraints are difficult or even impossible to achieve without a PTV underdosage. For these cases, a schedule with a higher number of fractions is recommended.</p><p>In order to prevent a repetition of the full dosimetric plan but utilizing a higher number of fractions schedule, several indicators based on R<sub>wall</sub> and B<sub>wall</sub> intersections with PTV<sub>36.25</sub> are suggested. These indicators are obtained as explained below.</p><p>The intersection PTV<sub>36.25</sub>-R<sub>wall</sub> and PTV<sub>36.25</sub>-B<sub>wall</sub> were obtained and their volumes were calculated. Furthermore, both R<sub>wall</sub> and B<sub>wall</sub> volumes were recorded so as to compute their relative volume inside the PTV<sub>36.25</sub>. The differences between constraint values for R<sub>wall</sub> (V<sub>36.25</sub>, V<sub>32.62</sub> and V<sub>29</sub>, respectively) and the relative volume of its intersections with PTV<sub>36.25</sub> were computed. The same calculations were performed for B<sub>wall</sub> by using the values of V<sub>36.25</sub>, V<sub>32.62</sub> and V<sub>18.12</sub>, respectively. This procedure was employed in both groups of patients (with and without SSVV). Average values and standard deviations were calculated.</p><p>A pre-planning simple calculation of the intersection volumes could be quite useful to both planner and radiation oncologist. These estimations of R<sub>wall</sub> and B<sub>wall</sub> relative volumes inside PTV<sub>36.25</sub> can be compared with constraint values so as to estimate constraint fulfilling and evaluate the feasibility of SBRT for every single patient.</p></sec><sec id="s2_5_3"><title>2.5.3. Bladder Wall Low-Dose-Constraint Reduction</title><p>Fifty patients randomly chosen among the two groups were re-planned (25 with SSVV and 25 without SSVV). The optimization was performed using the same cost function parameters as in the original plans but for the B<sub>wall</sub> V<sub>18.12</sub> constraint, for which a new objective function was introduced. To reduce the intermediate-level dose to B<sub>wall</sub>, an optimization value of V<sub>18.12</sub> = 20% was selected. This value was considered for two main reasons: the majority of V<sub>18.12</sub> results recorded were higher than 20% and it was a sufficiently low value to push the optimizer to reduce the B<sub>wall</sub> V<sub>18.12</sub>. Our goal was to reduce B<sub>wall</sub> V<sub>18.12</sub> as much as possible without compromising PTV<sub>36.25</sub> and U<sub>PRV</sub> coverage. Average differences with respect to original plans were obtained and the corresponding p-values were also computed to elucidate whether the reduction achieved in V<sub>18.12</sub> was significant or not. A comparison between SSVV and non-SSVV results was performed to find if SSVV inclusion in PTV<sub>36.25</sub> affected V<sub>18.12</sub> reduction. The corresponding p-values were also obtained.</p></sec></sec></sec><sec id="s3"><title>3. Results</title><sec id="s3_1"><title>3.1. Histogram Analysis of Constraints and Goals</title><p>Results obtained from the histograms calculated for each constraint regarding SSVV and non-SSVV groups are shown in <xref ref-type="fig" rid="fig1">Figure 1</xref> and <xref ref-type="fig" rid="fig2">Figure 2</xref>, respectively.</p><p>For each constraint its average value, standard deviation (σ) and the Degree Of Fulfillment (DOF) were computed (<xref ref-type="table" rid="table2">Table 2</xref> and <xref ref-type="table" rid="table3">Table 3</xref>) for both SSVV and non-SSVV groups. P-values were calculated to elucidate whether there was statistical significance or not.</p><p>The average DVH computed for PTV<sub>36.25</sub>, R<sub>wall</sub>, B<sub>wall</sub> and U<sub>PRV</sub> over all the patients included in the SSVV and non-SSVV groups are depicted in <xref ref-type="fig" rid="fig3">Figure 3</xref> and <xref ref-type="fig" rid="fig4">Figure 4</xref>, respectively. The 95% Confidence Level (CL) curves alongside with the constraint/goal values for each volume are shown.</p></sec><sec id="s3_2"><title>3.2. Relationships between Dose Constraints and PTV-OAR Intersections</title><p><xref ref-type="table" rid="table4">Table 4</xref> shows the average differences between the volume constraints and the relative volumes of each PTV-OAR intersection. In this case, OAR stands for both B<sub>wall</sub> and R<sub>wall</sub>. The standard deviations were computed and the p-values resulting from the comparison of SSVV and non-SSVV groups data were also calculated.</p><table-wrap id="table2" ><label><xref ref-type="table" rid="table2">Table 2</xref></label><caption><title> Average values, standard deviations and Degrees Of Fulfillment (DOF) for the constraints applied to R<sub>wall</sub> and B<sub>wall</sub> associated with SSVV and non-SSVV groups. P-values from the comparison between SSVV and non-SSVV groups are also shown</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  colspan="2"   rowspan="2"  ></th><th align="center" valign="middle"  colspan="5"  >Rectum Wall</th><th align="center" valign="middle"  colspan="4"  >Bladder Wall</th></tr></thead><tr><td align="center" valign="middle" >V<sub>32.62</sub> &lt; 15%</td><td align="center" valign="middle" >V<sub>29</sub> &lt; 25%</td><td align="center" valign="middle" >V<sub>36.25</sub> &lt; 5%</td><td align="center" valign="middle" >V<sub>32.62</sub> &lt; 10%</td><td align="center" valign="middle" >V<sub>29</sub> &lt; 20%</td><td align="center" valign="middle" >V<sub>36.25</sub> &lt; 15%</td><td align="center" valign="middle" >V<sub>36.25</sub> &lt; 10%</td><td align="center" valign="middle" >V<sub>32.62</sub> &lt; 20%</td><td align="center" valign="middle" >V<sub>18.12</sub> &lt; 50%</td></tr><tr><td align="center" valign="middle"  rowspan="3"  >SSVV group</td><td align="center" valign="middle" >DOF (%)</td><td align="center" valign="middle" >77.1</td><td align="center" valign="middle" >96.1</td><td align="center" valign="middle" >100.0</td><td align="center" valign="middle" >0.0</td><td align="center" valign="middle" >67.3</td><td align="center" valign="middle" >100.0</td><td align="center" valign="middle" >81.5</td><td align="center" valign="middle" >92.7</td><td align="center" valign="middle" >100.0</td></tr><tr><td align="center" valign="middle" >Average (%)</td><td align="center" valign="middle" >13.4</td><td align="center" valign="middle" >19.2</td><td align="center" valign="middle" >2.5</td><td align="center" valign="middle" >13.7</td><td align="center" valign="middle" >19.1</td><td align="center" valign="middle" >8.1</td><td align="center" valign="middle" >8.4</td><td align="center" valign="middle" >17.1</td><td align="center" valign="middle" >37.7</td></tr><tr><td align="center" valign="middle" >σ (%)</td><td align="center" valign="middle" >1.7</td><td align="center" valign="middle" >2.6</td><td align="center" valign="middle" >1.3</td><td align="center" valign="middle" >1.7</td><td align="center" valign="middle" >2.8</td><td align="center" valign="middle" >2.2</td><td align="center" valign="middle" >2.1</td><td align="center" valign="middle" >2.4</td><td align="center" valign="middle" >7.2</td></tr><tr><td align="center" valign="middle"  rowspan="3"  >Non-SSVV group</td><td align="center" valign="middle" >DOF (%)</td><td align="center" valign="middle" >95.8</td><td align="center" valign="middle" >100.0</td><td align="center" valign="middle" >100.0</td><td align="center" valign="middle" >25.0</td><td align="center" valign="middle" >90.0</td><td align="center" valign="middle" >100.0</td><td align="center" valign="middle" >81.9</td><td align="center" valign="middle" >87.5</td><td align="center" valign="middle" >95.8</td></tr><tr><td align="center" valign="middle" >Average (%)</td><td align="center" valign="middle" >11.7</td><td align="center" valign="middle" >16.3</td><td align="center" valign="middle" >2.3</td><td align="center" valign="middle" >11.7</td><td align="center" valign="middle" >16.3</td><td align="center" valign="middle" >8.4</td><td align="center" valign="middle" >8.4</td><td align="center" valign="middle" >16.9</td><td align="center" valign="middle" >36.1</td></tr><tr><td align="center" valign="middle" >σ (%)</td><td align="center" valign="middle" >2.6</td><td align="center" valign="middle" >3.3</td><td align="center" valign="middle" >1.2</td><td align="center" valign="middle" >2.6</td><td align="center" valign="middle" >3.3</td><td align="center" valign="middle" >2.4</td><td align="center" valign="middle" >2.4</td><td align="center" valign="middle" >4.6</td><td align="center" valign="middle" >8.4</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" >p-value</td><td align="center" valign="middle" >&lt;0.001</td><td align="center" valign="middle" >&lt;0.001</td><td align="center" valign="middle" >0.120</td><td align="center" valign="middle" >&lt;0.001</td><td align="center" valign="middle" >&lt;0.001</td><td align="center" valign="middle" >0.819</td><td align="center" valign="middle" >0.819</td><td align="center" valign="middle" >0.786</td><td align="center" valign="middle" >0.132</td></tr></tbody></table></table-wrap><table-wrap id="table3" ><label><xref ref-type="table" rid="table3">Table 3</xref></label><caption><title> Average values, standard deviations and Degrees Of Fulfillment (DOF) for the goals applied to PTV and U<sub>PRV</sub> associated with SSVV and non-SSVV groups. P-values from the comparison between SSVV and non-SSVV groups are also shown</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  colspan="2"   rowspan="2"  ></th><th align="center" valign="middle"  colspan="3"  >PTV<sub>36.25</sub></th><th align="center" valign="middle"  colspan="4"  >U<sub>PRV</sub></th></tr></thead><tr><td align="center" valign="middle" >D<sub>98%</sub> &gt; 3443</td><td align="center" valign="middle" >D<sub>5%</sub> &lt; 3878</td><td align="center" valign="middle" >D<sub>2%</sub> &lt; 3987</td><td align="center" valign="middle" >D<sub>98%</sub> &gt; 3087</td><td align="center" valign="middle" >D<sub>50%</sub> &lt; 3250</td><td align="center" valign="middle" >D<sub>5%</sub> &lt; 3477</td><td align="center" valign="middle" >D<sub>2%</sub> &lt; 3575</td></tr><tr><td align="center" valign="middle"  rowspan="3"  >SSVV group</td><td align="center" valign="middle" >DOF (%)</td><td align="center" valign="middle" >44.3</td><td align="center" valign="middle" >96.1</td><td align="center" valign="middle" >100.0</td><td align="center" valign="middle" >100.0</td><td align="center" valign="middle" >58.7</td><td align="center" valign="middle" >96.5</td><td align="center" valign="middle" >100.0</td></tr><tr><td align="center" valign="middle" >Average (cGy)</td><td align="center" valign="middle" >3401.1</td><td align="center" valign="middle" >3853.2</td><td align="center" valign="middle" >3891.3</td><td align="center" valign="middle" >3100.8</td><td align="center" valign="middle" >3258.9</td><td align="center" valign="middle" >3456.1</td><td align="center" valign="middle" >3500.9</td></tr><tr><td align="center" valign="middle" >σ (cGy)</td><td align="center" valign="middle" >65.1</td><td align="center" valign="middle" >20.1</td><td align="center" valign="middle" >23.0</td><td align="center" valign="middle" >32.6</td><td align="center" valign="middle" >39.0</td><td align="center" valign="middle" >19.5</td><td align="center" valign="middle" >21.7</td></tr><tr><td align="center" valign="middle"  rowspan="3"  >Non-SSVV group</td><td align="center" valign="middle" >DOF (%)</td><td align="center" valign="middle" >63.9</td><td align="center" valign="middle" >100.0</td><td align="center" valign="middle" >100.0</td><td align="center" valign="middle" >98.6</td><td align="center" valign="middle" >66.7</td><td align="center" valign="middle" >95.8</td><td align="center" valign="middle" >100.0</td></tr><tr><td align="center" valign="middle" >Average (cGy)</td><td align="center" valign="middle" >3437.1</td><td align="center" valign="middle" >3849.8</td><td align="center" valign="middle" >3877.6</td><td align="center" valign="middle" >3110.4</td><td align="center" valign="middle" >3254.2</td><td align="center" valign="middle" >3445.7</td><td align="center" valign="middle" >3488.5</td></tr><tr><td align="center" valign="middle" >σ (cGy)</td><td align="center" valign="middle" >39.3</td><td align="center" valign="middle" >26.5</td><td align="center" valign="middle" >31.9</td><td align="center" valign="middle" >29.7</td><td align="center" valign="middle" >28.5</td><td align="center" valign="middle" >23.6</td><td align="center" valign="middle" >29.4</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" >p-value</td><td align="center" valign="middle" >0.003</td><td align="center" valign="middle" >0.078</td><td align="center" valign="middle" >0.042</td><td align="center" valign="middle" >0.320</td><td align="center" valign="middle" >0.670</td><td align="center" valign="middle" >0.034</td><td align="center" valign="middle" >0.023</td></tr></tbody></table></table-wrap><table-wrap id="table4" ><label><xref ref-type="table" rid="table4">Table 4</xref></label><caption><title> Average values and standard deviations for the differences between volume constraints and PTV-OAR intersections. P-values from the comparison between SSVV and non-SSVV groups are also shown</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  colspan="2"   rowspan="2"  ></th><th align="center" valign="middle"  colspan="2"  >V<sub>32.62</sub> - %OAR in PTV</th><th align="center" valign="middle"  colspan="2"  >V<sub>36.25</sub> - %OAR in PTV</th><th align="center" valign="middle" >V<sub>29</sub> - %OAR in PTV</th><th align="center" valign="middle" >V<sub>18.12</sub> - %OAR in PTV</th></tr></thead><tr><td align="center" valign="middle" >B<sub>wall</sub></td><td align="center" valign="middle" >R<sub>wall</sub></td><td align="center" valign="middle" >B<sub>wall</sub></td><td align="center" valign="middle" >R<sub>wall</sub></td><td align="center" valign="middle" >B<sub>wall</sub></td><td align="center" valign="middle" >R<sub>wall</sub></td></tr><tr><td align="center" valign="middle"  rowspan="2"  >SSVV group</td><td align="center" valign="middle" >Average (%)</td><td align="center" valign="middle" >3.3</td><td align="center" valign="middle" >2.7</td><td align="center" valign="middle" >−5.5</td><td align="center" valign="middle" >−8.0</td><td align="center" valign="middle" >26.9</td><td align="center" valign="middle" >8.5</td></tr><tr><td align="center" valign="middle" >σ (%)</td><td align="center" valign="middle" >2.4</td><td align="center" valign="middle" >2.7</td><td align="center" valign="middle" >4.3</td><td align="center" valign="middle" >3.2</td><td align="center" valign="middle" >8.2</td><td align="center" valign="middle" >2.0</td></tr><tr><td align="center" valign="middle"  colspan="2"   rowspan="2"  ></td><td align="center" valign="middle"  colspan="2"  >V<sub>32.62</sub> - %OAR in PTV</td><td align="center" valign="middle"  colspan="2"  >V<sub>36.25</sub> - %OAR in PTV</td><td align="center" valign="middle" >V<sub>29</sub> - %OAR in PTV</td><td align="center" valign="middle" >V<sub>18.12</sub> - %OAR in PTV</td></tr><tr><td align="center" valign="middle" >B<sub>wall</sub></td><td align="center" valign="middle" >R<sub>wall</sub></td><td align="center" valign="middle" >B<sub>wall</sub></td><td align="center" valign="middle" >R<sub>wall</sub></td><td align="center" valign="middle" >B<sub>wall</sub></td><td align="center" valign="middle" >R<sub>wall</sub></td></tr><tr><td align="center" valign="middle"  rowspan="2"  >Non-SSVV group</td><td align="center" valign="middle" >Average (%)</td><td align="center" valign="middle" >4.9</td><td align="center" valign="middle" >3.6</td><td align="center" valign="middle" >−9.9</td><td align="center" valign="middle" >−5.9</td><td align="center" valign="middle" >28.0</td><td align="center" valign="middle" >8.1</td></tr><tr><td align="center" valign="middle" >σ (%)</td><td align="center" valign="middle" >1.6</td><td align="center" valign="middle" >3.4</td><td align="center" valign="middle" >5.0</td><td align="center" valign="middle" >4.5</td><td align="center" valign="middle" >8.3</td><td align="center" valign="middle" >3.6</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" >p-value</td><td align="center" valign="middle" >&lt;0.001</td><td align="center" valign="middle" >0.290</td><td align="center" valign="middle" >&lt;0.001</td><td align="center" valign="middle" >0.015</td><td align="center" valign="middle" >0.757</td><td align="center" valign="middle" >0.952</td></tr></tbody></table></table-wrap></sec><sec id="s3_3"><title>3.3. Bladder Wall Low-Dose-Constraint Reduction</title><p>Average differences and standard deviations between original plan values and re-optimized plan values are shown in <xref ref-type="table" rid="table5">Table 5</xref> (SSVV) and <xref ref-type="table" rid="table6">Table 6</xref> (non-SSVV), respectively. Furthermore, p-values obtained from the comparison among original and re-optimized plans were also recorded.</p></sec></sec><sec id="s4"><title>4. Discussion</title><p>The inclusion of the SSVV in the PTV<sub>36.25</sub> significantly impacts the value of several constraints. A significant difference was obtained for R<sub>wall</sub> V<sub>32.62</sub> and V<sub>29</sub> constraint values when SSVV were to be considered in the PTV<sub>36.25</sub> (p &lt; 0.001). Furthermore, the degree of fulfillment of these constraints decreased when SSVV were included. The constraint V<sub>32.62</sub> &lt; 15% for non-SSVV group was achieved in 95.8% of the cases, while a DOF of 77.1% was obtained for the SSVV group. V<sub>32.62</sub> &lt; 10% was never achieved for SSVV group and a DOF of 25% was recorded for non-SSVV group. These results are related to the fact that SSVV embrace the R<sub>wall</sub> and a larger overlap between R<sub>wall</sub> and PTV<sub>36.25</sub> was always generated. Besides, the use of an endorectal balloon pressed and deformed the prostate, increasing the intersection volume with the R<sub>wall</sub>. As a result, a significant increment in the average overlapping volume between PTV<sub>36.25</sub> and R<sub>wall</sub> was obtained (p &lt; 0.007), alongside with the corresponding increase of V<sub>32.62</sub> value (p &lt; 0.001). The variation of V<sub>36.25</sub> between SSVV and non-SSVV groups was not statistically significant (p = 0.12), as it did not interfere with the main coverage goal for PTV<sub>36.25</sub> (D<sub>98%</sub> &gt; 34.43 Gy). A DOF of 100% was achieved in both groups.</p><table-wrap id="table5" ><label><xref ref-type="table" rid="table5">Table 5</xref></label><caption><title> Average values and standard deviations obtained from the differences between original plans and re-optimized plans for 25 SSVV patients. P-values are also shown</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  ></th><th align="center" valign="middle"  colspan="4"  >Rectum Wall</th><th align="center" valign="middle"  colspan="5"  >Bladder Wall</th></tr></thead><tr><td align="center" valign="middle" >V<sub>36.25</sub> &lt; 5%</td><td align="center" valign="middle" >V<sub>32.62</sub> &lt; 15%</td><td align="center" valign="middle"  colspan="2"  >V<sub>29</sub> &lt; 25%</td><td align="center" valign="middle" >V<sub>36.25</sub> &lt; 10%</td><td align="center" valign="middle"  colspan="2"  >V<sub>32.62</sub> &lt; 20%</td><td align="center" valign="middle"  colspan="2"  >V<sub>18.12</sub> &lt; 50%</td></tr><tr><td align="center" valign="middle" >Average difference (%)</td><td align="center" valign="middle" >−0.9%</td><td align="center" valign="middle" >−0.1%</td><td align="center" valign="middle"  colspan="2"  >0.1%</td><td align="center" valign="middle"  colspan="2"  >0.4%</td><td align="center" valign="middle"  colspan="2"  >1.3%</td><td align="center" valign="middle" >11.9%</td></tr><tr><td align="center" valign="middle" >σ (%)</td><td align="center" valign="middle" >0.9%</td><td align="center" valign="middle" >0.9%</td><td align="center" valign="middle"  colspan="2"  >1.1%</td><td align="center" valign="middle"  colspan="2"  >2.0%</td><td align="center" valign="middle"  colspan="2"  >1.0%</td><td align="center" valign="middle" >2.5%</td></tr><tr><td align="center" valign="middle" >p-value</td><td align="center" valign="middle" >0.524</td><td align="center" valign="middle" >0.245</td><td align="center" valign="middle"  colspan="2"  >0.997</td><td align="center" valign="middle"  colspan="2"  >0.918</td><td align="center" valign="middle"  colspan="2"  >0.547</td><td align="center" valign="middle" >&lt; 0.001</td></tr><tr><td align="center" valign="middle"  rowspan="2"  ></td><td align="center" valign="middle"  colspan="4"  >U<sub>PRV</sub></td><td align="center" valign="middle"  colspan="5"  >PTV<sub>36.25</sub></td></tr><tr><td align="center" valign="middle" >D<sub>98%</sub> &gt; 3087</td><td align="center" valign="middle" >D<sub>50%</sub> &lt; 3250</td><td align="center" valign="middle" >D<sub>5%</sub> &lt; 3477</td><td align="center" valign="middle" >D<sub>2%</sub> &lt; 3575</td><td align="center" valign="middle"  colspan="2"  >D<sub>98%</sub> &gt; 3443</td><td align="center" valign="middle"  colspan="2"  >D<sub>5%</sub> &lt; 3878</td><td align="center" valign="middle" >D<sub>2%</sub> &lt; 3987</td></tr><tr><td align="center" valign="middle" >Average difference (cGy)</td><td align="center" valign="middle" >−3.0</td><td align="center" valign="middle" >0.9</td><td align="center" valign="middle" >5.1</td><td align="center" valign="middle" >3.8</td><td align="center" valign="middle"  colspan="2"  >6.3</td><td align="center" valign="middle"  colspan="2"  >−8.2</td><td align="center" valign="middle" >−4.5</td></tr><tr><td align="center" valign="middle" >σ (cGy)</td><td align="center" valign="middle" >8.4</td><td align="center" valign="middle" >4.9</td><td align="center" valign="middle" >36.2</td><td align="center" valign="middle" >41.7</td><td align="center" valign="middle"  colspan="2"  >23.3</td><td align="center" valign="middle"  colspan="2"  >24.1</td><td align="center" valign="middle" >24.1</td></tr><tr><td align="center" valign="middle" >p-value</td><td align="center" valign="middle" >0.515</td><td align="center" valign="middle" >0.244</td><td align="center" valign="middle" >0.993</td><td align="center" valign="middle" >0.776</td><td align="center" valign="middle"  colspan="2"  >0.914</td><td align="center" valign="middle"  colspan="2"  >0.558</td><td align="center" valign="middle" >0.797</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td></tr></tbody></table></table-wrap><table-wrap id="table6" ><label><xref ref-type="table" rid="table6">Table 6</xref></label><caption><title> Average values and standard deviations obtained from the differences between original plans and re-optimized plans for 25 non-SSVV patients. P-values are also shown</title></caption><table><tbody><thead><tr><th align="center" valign="middle"  rowspan="2"  ></th><th align="center" valign="middle"  colspan="4"  >Rectum Wall</th><th align="center" valign="middle"  colspan="5"  >Bladder Wall</th></tr></thead><tr><td align="center" valign="middle" >V<sub>36.25</sub> &lt; 5%</td><td align="center" valign="middle" >V<sub>32.62</sub> &lt; 15%</td><td align="center" valign="middle"  colspan="2"  >V<sub>29</sub> &lt; 25%</td><td align="center" valign="middle" >V<sub>36.25</sub> &lt; 10%</td><td align="center" valign="middle"  colspan="2"  >V<sub>32.62</sub> &lt; 20%</td><td align="center" valign="middle"  colspan="2"  >V<sub>18.12</sub> &lt; 50%</td></tr><tr><td align="center" valign="middle" >Average difference (%)</td><td align="center" valign="middle" >−0.6%</td><td align="center" valign="middle" >1.0%</td><td align="center" valign="middle"  colspan="2"  >1.4%</td><td align="center" valign="middle"  colspan="2"  >1.1%</td><td align="center" valign="middle"  colspan="2"  >2.0%</td><td align="center" valign="middle" >12.0%</td></tr><tr><td align="center" valign="middle" >σ (%)</td><td align="center" valign="middle" >1.4%</td><td align="center" valign="middle" >1.3%</td><td align="center" valign="middle"  colspan="2"  >1.3%</td><td align="center" valign="middle"  colspan="2"  >3.0%</td><td align="center" valign="middle"  colspan="2"  >2.3%</td><td align="center" valign="middle" >3.3%</td></tr><tr><td align="center" valign="middle" >p-value</td><td align="center" valign="middle" >0.279</td><td align="center" valign="middle" >0.648</td><td align="center" valign="middle"  colspan="2"  >0.731</td><td align="center" valign="middle"  colspan="2"  >0.412</td><td align="center" valign="middle"  colspan="2"  >0.354</td><td align="center" valign="middle" >&lt;0.001</td></tr><tr><td align="center" valign="middle"  rowspan="2"  ></td><td align="center" valign="middle"  colspan="4"  >U<sub>PRV</sub></td><td align="center" valign="middle"  colspan="5"  >PTV<sub>36.25</sub></td></tr><tr><td align="center" valign="middle" >D<sub>98%</sub> &gt; 3087</td><td align="center" valign="middle" >D<sub>50%</sub> &lt; 3250</td><td align="center" valign="middle" >D<sub>5%</sub> &lt; 3477</td><td align="center" valign="middle" >D<sub>2%</sub> &lt; 3575</td><td align="center" valign="middle"  colspan="2"  >D<sub>98%</sub> &gt; 3443</td><td align="center" valign="middle"  colspan="2"  >D<sub>5%</sub> &lt; 3878</td><td align="center" valign="middle" >D<sub>2%</sub> &lt; 3987</td></tr><tr><td align="center" valign="middle" >Average difference (cGy)</td><td align="center" valign="middle" >7.6</td><td align="center" valign="middle" >14.65</td><td align="center" valign="middle" >−2.5</td><td align="center" valign="middle" >−19.5</td><td align="center" valign="middle"  colspan="2"  >−7.0</td><td align="center" valign="middle"  colspan="2"  >−12.6</td><td align="center" valign="middle" >−9.6</td></tr><tr><td align="center" valign="middle" >σ (cGy)</td><td align="center" valign="middle" >9.1</td><td align="center" valign="middle" >26.8</td><td align="center" valign="middle" >34.3</td><td align="center" valign="middle" >41.4</td><td align="center" valign="middle"  colspan="2"  >18.0</td><td align="center" valign="middle"  colspan="2"  >52.2</td><td align="center" valign="middle" >52.6</td></tr><tr><td align="center" valign="middle" >p-value</td><td align="center" valign="middle" >0.279</td><td align="center" valign="middle" >0.212</td><td align="center" valign="middle" >0.543</td><td align="center" valign="middle" >0.731</td><td align="center" valign="middle"  colspan="2"  >0.465</td><td align="center" valign="middle"  colspan="2"  >0.978</td><td align="center" valign="middle" >0.878</td></tr><tr><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td><td align="center" valign="middle" ></td></tr></tbody></table></table-wrap><p>B<sub>wall</sub> constraint values were not influenced by the inclusion of SSVV, as the intersection volumes with the PTV<sub>36.25</sub> did not vary significantly among groups (p = 0.13). D<sub>98%</sub> for PTV<sub>36.25</sub> was slightly reduced when SSVV were to be considered (p = 0.003). This fact may be explained due to the increased overlap between R<sub>wall</sub> and PTV<sub>36.25</sub>. Hence, to fulfill R<sub>wall</sub> dose constraints a loss in PTV<sub>36.25</sub> coverage (D<sub>98%</sub>) was needed. The DOF varied from 63.9% (non-SSVV) to 44.3% (SSVV). High doses inside the PTV<sub>36.25</sub> were higher for SSVV group, but only D<sub>2%</sub> result was statistically significant (p = 0.042).</p><p>For the U<sub>PRV</sub> D<sub>98%</sub> and D<sub>50%</sub> values did not vary significantly when SSVV were to be considered. DOF for SSVV group (non-SSVV group) were 100% (98.6%) and 58.7% (66.7%), respectively. For high doses in the U<sub>PRV</sub> (D<sub>5%</sub> and D<sub>2%</sub>) significant differences were found (p = 0.034 and p = 0.023, respectively). Higher values were obtained when SSVV were considered. Also, a high DOF for these two constraints was achieved (DOF &gt; 95.8%).</p><p>From <xref ref-type="fig" rid="fig3">Figure 3</xref> and <xref ref-type="fig" rid="fig4">Figure 4</xref>, it can be seen that, while PTV<sub>36.25</sub> and U<sub>PRV</sub> 95% CL are quite narrow, B<sub>wall</sub> and R<sub>wall</sub> ones are much broader, especially for intermediate and low dose regions. This can be explained by the effect of dose goals and dose constraints, which make the curves to move closer nearby the constrained regions. However, the 95% CL curves broadening in unrestricted regions of the DVHs might imply the need for intermediate and low dose restrictions, which could entail a quality improvement in the dose plan.</p><p>Several authors have proposed strategies to reduce the dose to the OARs by the use of software-based techniques, i.e., dosimetry plan optimization [<xref ref-type="bibr" rid="scirp.111516-ref20">20</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref41">41</xref>]. In Dubouloz et al. [<xref ref-type="bibr" rid="scirp.111516-ref41">41</xref>] a step-wise planning strategy was investigated for R<sub>wall</sub> with and without an endorectal balloon. Other authors have proposed the use of gadget-based techniques to achieve this OARs dose reduction, such as the utilization of an endorectal balloon [<xref ref-type="bibr" rid="scirp.111516-ref16">16</xref>] or the insertion of prostate-rectal spacers [<xref ref-type="bibr" rid="scirp.111516-ref22">22</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref23">23</xref>] [<xref ref-type="bibr" rid="scirp.111516-ref24">24</xref>].</p><p>Data shown in <xref ref-type="table" rid="table4">Table 4</xref> may be used as a pre-planning estimation on how constraints will (or will not) be fulfilled. Calculating the relative volume of B<sub>wall</sub> and R<sub>wall</sub> inside the PTV<sub>36.25</sub> may allow the planner to compare these volumes with the results from <xref ref-type="table" rid="table2">Table 2</xref>, hence approximately predicting the final relative volume constraint values. The average difference V<sub>32.62</sub>-B<sub>wall</sub> in PTV<sub>36.25</sub> yielded 3.3 &#177; 2.4 (4.9 &#177; 1.6) for SSVV (non-SSVV) group. These values imply that the final constraint result will be approximately 3.3% (4.9%) higher than the intersection volume for SSVV (non-SSVV) group. It can be seen that there is a significant difference between groups (p &lt; 0.001). Considering V<sub>32.62</sub> for R<sub>wall</sub>, the obtained values were 2.7 &#177; 2.7 (3.6 &#177; 3.4) for SSVV (non-SSVV) group. For V<sub>36.25</sub>-OAR in PTV<sub>36.25</sub> all obtained values were negative. This was because these intersection volumes were always higher than R<sub>wall</sub> V<sub>36.25</sub>.</p><p>Regarding intermediate dose constraint values for B<sub>wall</sub> (V<sub>18.12</sub>) and R<sub>wall</sub> (V<sub>29</sub>), their differences with respect to intersection volumes yielded 26.9 &#177; 8.2 (28.0 &#177; 8.3) and 8.5 &#177; 2.0 (8.1 &#177; 3.6) for SSVV (non-SSVV) group, respectively. None of them were statistically significant when comparing data from both groups. These results may be utilized as a complement criterion to decide whether a specific patient is suitable for five-fraction urethra-sparing SBRT or not, regarding constraint fulfilling. This fact might influence the subsequent clinical criterion with regard to fractionation scheme selection. As a consequence, time might be spent avoiding a full repetition of the dosimetry plan if constraints are not fulfilled.</p><p>Results obtained in the re-optimization of the selected 50 patients yielded that an average reduction of 11.9% &#177; 2.5% (SSVV) and 12.0% &#177; 3.3% (non-SSVV) could be achieved in the B<sub>wall</sub> V<sub>18.12</sub> constraint (p &lt; 0.001 for SSVV and non-SSVV results). Besides, it could be fulfilled without compromising PTV<sub>36.25</sub> and U<sub>PRV</sub> coverage (p ≫ 0.05). As it can be seen from <xref ref-type="table" rid="table5">Table 5</xref> and <xref ref-type="table" rid="table6">Table 6</xref> results, these reductions in the B<sub>wall</sub> intermediate dose constraint can be achieved without a statistically significant deviation not only in PTV<sub>36.25</sub> and U<sub>PRV</sub> coverage but also in the rest of OARs constraints. A p-value &lt; 0.001 implied that the reduction obtained in the B<sub>wall</sub> V<sub>18.12</sub> is independent of the inclusion of the SSVV in the PTV<sub>36.25</sub>. As it can be seen from the results, a V<sub>18.12</sub> &lt; 35% constraint could be easily achievable in the majority of patients. Hence, it has been proposed as a new quality constraint at our institution.</p><p><xref ref-type="fig" rid="fig1">Figure 1</xref> and <xref ref-type="fig" rid="fig2">Figure 2</xref> alongside with DOF obtained might be useful for institutions that want to implement prostate SBRT in order to have an estimation of constraint fulfilling, main parameter distributions and a general idea of what to expect when performing this technique. Moreover, <xref ref-type="fig" rid="fig3">Figure 3</xref> and <xref ref-type="fig" rid="fig4">Figure 4</xref> might be utilized as an estimation of upper and lower DVH limits for which a plan could be acceptable. Besides, <xref ref-type="fig" rid="fig3">Figure 3</xref> and <xref ref-type="fig" rid="fig4">Figure 4</xref> might be used as baseline DVHs to analyze whether new low-to-intermediate dose constraints implemented by other institutions could be feasible or not.</p><p>Furthermore, data recorded in <xref ref-type="table" rid="table4">Table 4</xref> might be employed as a simple but useful predictive model for anatomies in which relative volume intersection between R<sub>wall</sub>, B<sub>wall</sub> and PTV<sub>36.25</sub> are similar or higher to R<sub>wall</sub> and B<sub>wall</sub> high-dose constraint values. In these cases, a decision can be made (suitability of SBRT for that specific patient) before the dosimetry plan is done. Time can be saved by avoiding a full repetition of the dose plan when fractionation schemes are changed.</p></sec><sec id="s5"><title>5. Conclusions</title><p>Significant differences have been observed in the intermediate dose constraints for R<sub>wall</sub> (V<sub>32.62</sub> and V<sub>29</sub>) when investigating SSVV inclusion in the PTV<sub>36.25</sub>. In addition, several constraint value predictors have been calculated based upon intersection volumes among R<sub>wall</sub>, B<sub>wall</sub> and PTV<sub>36.25</sub>. These values may help medical physicists and radiation oncologists to precisely adapt fractionation schemes to patients by a simple pre-treatment calculation of intersection volumes and a comparison with constraint values. Furthermore, a reduction of 12% in the B<sub>wall</sub> V<sub>18.12</sub> constraint has been proven to be achievable without compromising the coverage and the rest of OARs constraints. Moreover, this reduction is independent of the inclusion or not of the SSVV in the PTV<sub>36.25</sub>. Based on the ALARA principle (As Low As Reasonably Achievable) further investigation is encouraged to define low-to-intermediate new dose constraints which would aid to improve the dosimetric plan quality for prostate SBRT patients.</p><p>As a final remark, this paper might be useful for institutions to start performing five-fraction urethra-sparing prostate SBRT and for experienced planners who might be searching for new tips to improve their treatment plans.</p></sec><sec id="s6"><title>Conflicts of Interest</title><p>The authors declare no conflicts of interest regarding the publication of this paper.</p></sec><sec id="s7"><title>Cite this paper</title><p>Prado, A., Flores, I., Montero, &#193;., de la Casa, M.&#193;., Alonso, L., Mart&#237;, J., Fern&#225;ndez-Let&#243;n, P. and Rubio, C. (2021) Constraint Analysis and Bladder Wall Low-Dose-Constraint Reduction in Five-Fraction Urethra-Sparing Prostate SBRT. 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