{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,18]],"date-time":"2026-09-18T04:05:31Z","timestamp":1789704331017,"version":"4.0.1"},"reference-count":20,"publisher":"IOP Publishing","issue":"4","license":[{"start":{"date-parts":[[2025,2,6]],"date-time":"2025-02-06T00:00:00Z","timestamp":1738800000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/page\/copyright"},{"start":{"date-parts":[[2025,2,6]],"date-time":"2025-02-06T00:00:00Z","timestamp":1738800000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["Phys. Med. Biol."],"published-print":{"date-parts":[[2025,2,16]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>Using the concept of biologically effective dose (BED), the effect of sublethal DNA damage repair (SLR) on the bio-efficacy of prolonged radiotherapy treatments can be quantified (BED<jats:sub>SLR<\/jats:sub>). Such treatments, lasting more than 20 min, are typically encountered in stereotactic radiosurgery (SRS) applications using the CyberKnife (CK) and Gamma knife systems. Evaluating the plan data from 45 Vestibular Schwannoma (VS) cases treated with single fraction CK-SRS, this work demonstrates a statistically significant correlation between the marginal BED<jats:sub>SLR<\/jats:sub> delivered to the target (<jats:italic>m-<\/jats:italic>BED<jats:sub>SLR<\/jats:sub>) and the ratio of the mean collimator size weighted by the fraction of total beams delivered with each collimator (<jats:inline-formula>\n                     <jats:tex-math\/>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                           <mml:msubsup>\n                              <mml:mrow\/>\n                              <mml:mi>w<\/mml:mi>\n                              <mml:mi>m<\/mml:mi>\n                           <\/mml:msubsup>\n                           <mml:mrow>\n                              <mml:mtext>Cs<\/mml:mtext>\n                           <\/mml:mrow>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                  <\/jats:inline-formula>), to the tumor volume (Tv). The correlation between <jats:italic>m-<\/jats:italic>BED<jats:sub>SLR<\/jats:sub> and <jats:inline-formula>\n                     <jats:tex-math\/>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                           <mml:mfrac>\n                              <mml:mrow>\n                                 <mml:msubsup>\n                                    <mml:mrow\/>\n                                    <mml:mi>w<\/mml:mi>\n                                    <mml:mi>m<\/mml:mi>\n                                 <\/mml:msubsup>\n                                 <mml:mrow>\n                                    <mml:mtext>Cs<\/mml:mtext>\n                                 <\/mml:mrow>\n                              <\/mml:mrow>\n                              <mml:mrow>\n                                 <mml:mrow>\n                                    <mml:mtext>Tv<\/mml:mtext>\n                                 <\/mml:mrow>\n                              <\/mml:mrow>\n                           <\/mml:mfrac>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                  <\/jats:inline-formula> datasets was mathematically expressed by the power function <jats:inline-formula>\n                     <jats:tex-math\/>\n                     <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mrow>\n                           <mml:mi>m<\/mml:mi>\n                           <mml:mo>\u2212<\/mml:mo>\n                           <mml:mrow>\n                              <mml:mtext>BE<\/mml:mtext>\n                           <\/mml:mrow>\n                           <mml:mrow>\n                              <mml:msub>\n                                 <mml:mrow>\n                                    <mml:mtext>D<\/mml:mtext>\n                                 <\/mml:mrow>\n                                 <mml:mrow>\n                                    <mml:mrow>\n                                       <mml:mtext>SLR<\/mml:mtext>\n                                    <\/mml:mrow>\n                                 <\/mml:mrow>\n                              <\/mml:msub>\n                           <\/mml:mrow>\n                           <mml:mo>=<\/mml:mo>\n                           <mml:mn>85.21<\/mml:mn>\n                           <mml:mrow>\n                              <mml:mtext>\u2009<\/mml:mtext>\n                           <\/mml:mrow>\n                           <mml:mrow>\n                              <mml:mo>(<\/mml:mo>\n                              <mml:mrow>\n                                 <mml:mo>\u00b1<\/mml:mo>\n                                 <mml:mn>1.7<\/mml:mn>\n                                 <mml:mi mathvariant=\"normal\">%<\/mml:mi>\n                              <\/mml:mrow>\n                              <mml:mo>)<\/mml:mo>\n                           <\/mml:mrow>\n                           <mml:mo>\u22c5<\/mml:mo>\n                           <mml:mrow>\n                              <mml:msup>\n                                 <mml:mrow>\n                                    <mml:mo>(<\/mml:mo>\n                                    <mml:mrow>\n                                       <mml:mfrac>\n                                          <mml:mrow>\n                                             <mml:msubsup>\n                                                <mml:mrow\/>\n                                                <mml:mi>w<\/mml:mi>\n                                                <mml:mi>m<\/mml:mi>\n                                             <\/mml:msubsup>\n                                             <mml:mi>C<\/mml:mi>\n                                             <mml:mi>s<\/mml:mi>\n                                          <\/mml:mrow>\n                                          <mml:mrow>\n                                             <mml:mi>T<\/mml:mi>\n                                             <mml:mi>v<\/mml:mi>\n                                          <\/mml:mrow>\n                                       <\/mml:mfrac>\n                                    <\/mml:mrow>\n                                    <mml:mo>)<\/mml:mo>\n                                 <\/mml:mrow>\n                                 <mml:mrow>\n                                    <mml:mrow>\n                                       <mml:mo>(<\/mml:mo>\n                                       <mml:mrow>\n                                          <mml:mn>0.05<\/mml:mn>\n                                          <mml:mo>\u00b1<\/mml:mo>\n                                          <mml:mn>7<\/mml:mn>\n                                          <mml:mi mathvariant=\"normal\">%<\/mml:mi>\n                                       <\/mml:mrow>\n                                       <mml:mo>)<\/mml:mo>\n                                    <\/mml:mrow>\n                                 <\/mml:mrow>\n                              <\/mml:msup>\n                           <\/mml:mrow>\n                           <mml:mrow>\n                              <mml:mtext>\u2009<\/mml:mtext>\n                           <\/mml:mrow>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                  <\/jats:inline-formula>enabling continuous <jats:italic>m-<\/jats:italic>BED<jats:sub>SLR<\/jats:sub> predictions. Using this formula, a specific range of <jats:italic>m-<\/jats:italic>BED<jats:sub>SLR<\/jats:sub> levels can <jats:italic>a priori<\/jats:italic> be targeted during treatment planning through proper selection of collimator size(s) for a given tumor volume. Inversely, for a selected set of collimators, the optimization range of <jats:italic>m-<\/jats:italic>BED<jats:sub>SLR<\/jats:sub> can be determined assuming that all beams are delivered with the smallest and largest collimator size. For single collimator cases or when the relative usage of each collimator size is known or estimated, a specific <jats:italic>m-<\/jats:italic>BED<jats:sub>SLR<\/jats:sub> level can be predicted within 3% uncertainty. The proposed equation is valid for the fixed CK collimators and a physical dose prescription (<jats:italic>D<\/jats:italic>\n                  <jats:sub>pr<\/jats:sub>) of 13 Gy. For alternate <jats:italic>D<\/jats:italic>\n                  <jats:sub>pr<\/jats:sub> in the range of 11\u201314 Gy, a linear relationship was found between relative changes of <jats:italic>m-<\/jats:italic>BED<jats:sub>SLR<\/jats:sub>(<jats:italic>D<\/jats:italic>\n                  <jats:sub>pr<\/jats:sub>) and <jats:italic>D<\/jats:italic>\n                  <jats:sub>pr<\/jats:sub> with respect to <jats:italic>m-<\/jats:italic>BED<jats:sub>SLR<\/jats:sub>(13 Gy) and 13 Gy, respectively. The proposed methodology is simple and easy to implement in the clinical setting allowing for optimization of the treatment\u2019s bio-effectiveness, in terms of the delivered BED, during treatment planning.<\/jats:p>","DOI":"10.1088\/1361-6560\/adaf72","type":"journal-article","created":{"date-parts":[[2025,1,28]],"date-time":"2025-01-28T22:58:06Z","timestamp":1738105086000},"page":"04NT02","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":2,"title":["A simple plan strategy to optimize the biological effective dose delivered in robotic radiosurgery of vestibular schwannomas"],"prefix":"10.1088","volume":"70","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9005-674X","authenticated-orcid":true,"given":"A","family":"Moutsatsos","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-0565-5407","authenticated-orcid":true,"given":"E","family":"Pantelis","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"266","published-online":{"date-parts":[[2025,2,6]]},"reference":[{"key":"pmbadaf72bib1","doi-asserted-by":"publisher","first-page":"1531","DOI":"10.1016\/S1470-2045(19)30569-8","article-title":"Intensity-modulated fractionated radiotherapy versus stereotactic body radiotherapy for prostate cancer (PACE-B): acute toxicity findings from an international, randomised, open-label, phase 3, non-inferiority trial","volume":"20","author":"Brand","year":"2019","journal-title":"Lancet Oncol."},{"key":"pmbadaf72bib2","doi-asserted-by":"publisher","first-page":"1254","DOI":"10.1227\/01.NEU.0000159650.79833.2B","article-title":"Staged stereotactic irradiation for acoustic neuroma","volume":"56","author":"Chang","year":"2005","journal-title":"Neurosurgery"},{"key":"pmbadaf72bib3","doi-asserted-by":"publisher","first-page":"242","DOI":"10.1016\/j.ijrobp.2004.01.004","article-title":"Loss of biological effect in prolonged fraction delivery","volume":"59","author":"Fowler","year":"2004","journal-title":"Int. J. Radiat. Oncol."},{"key":"pmbadaf72bib4","first-page":"1","article-title":"Effects of variations in overall treatment time on the clonogenic survival of V79-4 cells: implications for radiosurgery","volume":"6","author":"Hallgren","year":"2019","journal-title":"J. Radiosurg. SBRT"},{"key":"pmbadaf72bib5","doi-asserted-by":"crossref","first-page":"39","DOI":"10.1159\/000331173","article-title":"Radiobiological principles: their application to gamma knife therapy","volume":"25","author":"Hopewell","year":"2012","journal-title":"Prog. Neurol. Surg."},{"key":"pmbadaf72bib6","first-page":"257","article-title":"Application of the concept of biologically effective dose (BED) to patients with Vestibular Schwannomas treated by radiosurgery","volume":"2","author":"Hopewell","year":"2013","journal-title":"J. Radiosurg. SBRT"},{"key":"pmbadaf72bib7","doi-asserted-by":"publisher","DOI":"10.1259\/bjr.20180111","article-title":"Modelling the influence of treatment time on the biological effectiveness of single radiosurgery treatments: derivation of \u201cprotective\u201d dose modification factors","volume":"92","author":"Jones","year":"2019","journal-title":"Br. J. Radiol."},{"key":"pmbadaf72bib8","doi-asserted-by":"publisher","first-page":"903","DOI":"10.1080\/09553002.2020.1748736","article-title":"The influence of the \u03b1\/\u03b2 ratio on treatment time iso-effect relationships in the central nervous system","volume":"96","author":"Jones","year":"2020","journal-title":"Int. J. Radiat. Biol."},{"key":"pmbadaf72bib9","doi-asserted-by":"publisher","first-page":"275","DOI":"10.1080\/09553009314551431","article-title":"Derivation and application of equations describing the effects of fractionated protracted irradiation, based on multiple and incomplete repair processes. part i. derivation of equations","volume":"64","author":"Millar","year":"1993","journal-title":"Int. J. Radiat. Biol."},{"key":"pmbadaf72bib10","doi-asserted-by":"publisher","first-page":"627","DOI":"10.1016\/j.ejmp.2015.04.008","article-title":"The role of the concept of biologically effective dose (BED) in treatment planning in radiosurgery","volume":"31","author":"Millar","year":"2015","journal-title":"Phys. Med."},{"key":"pmbadaf72bib11","doi-asserted-by":"publisher","DOI":"10.1088\/1361-6560\/ac783b","article-title":"On the effect of dose delivery temporal domain on the biological effectiveness of central nervous system CyberKnife radiosurgery applications: theoretical assessment using the concept of biologically effective dose","volume":"67","author":"Moutsatsos","year":"2022","journal-title":"Phys. Med. Biol."},{"key":"pmbadaf72bib12","first-page":"31","article-title":"The cyberknife robotic radiosurgery system","author":"Moutsatsos","year":"2020"},{"key":"pmbadaf72bib13","doi-asserted-by":"publisher","first-page":"301","DOI":"10.1016\/S0167-8140(00)00205-X","article-title":"Radiation tolerance of rat spinal cord to pulsed dose rate (PDR-) brachytherapy: the impact of differences in temporal dose distribution","volume":"55","author":"Pop","year":"2000","journal-title":"Radiother. Oncol."},{"key":"pmbadaf72bib14","doi-asserted-by":"publisher","first-page":"2094","DOI":"10.1118\/1.2900716","article-title":"Stepwise multi-criteria optimization for robotic radiosurgery","volume":"35","author":"Schlaefer","year":"2008","journal-title":"Med. Phys."},{"key":"pmbadaf72bib15","first-page":"59","author":"Schluter","year":"2020"},{"key":"pmbadaf72bib16","doi-asserted-by":"publisher","first-page":"e204","DOI":"10.1016\/j.wneu.2019.10.021","article-title":"Establishment of a therapeutic ratio for gamma knife radiosurgery of trigeminal neuralgia: the critical importance of biologically effective dose versus physical dose","volume":"134","author":"Tuleasca","year":"2020","journal-title":"World Neurosurg."},{"key":"pmbadaf72bib17","doi-asserted-by":"publisher","first-page":"1901","DOI":"10.3171\/2020.4.JNS201250","article-title":"Biologically effective dose and prediction of obliteration of unruptured arteriovenous malformations treated by upfront Gamma Knife radiosurgery: a series of 149 consecutive cases","volume":"134","author":"Tuleasca","year":"2021","journal-title":"J. Neurosurg."},{"key":"pmbadaf72bib18","doi-asserted-by":"publisher","first-page":"486","DOI":"10.3109\/09553001003667982","article-title":"Assessment of the \u03b1\/\u00df ratios for arteriovenous malformations, meningiomas, acoustic neuromas, and the optic chiasma","volume":"86","author":"Vernimmen","year":"2010","journal-title":"Int. J. Radiat. Biol."},{"key":"pmbadaf72bib19","doi-asserted-by":"publisher","first-page":"4","DOI":"10.1186\/1748-717X-6-4","article-title":"The in vivo study on the radiobiologic effect of prolonged delivery time to tumor control in C57BL mice implanted with Lewis lung cancer","volume":"6","author":"Wang","year":"2011","journal-title":"Radiat. Oncol."},{"key":"pmbadaf72bib20","doi-asserted-by":"publisher","first-page":"1","DOI":"10.3171\/2023.12.JNS231569","article-title":"The relevance of biologically effective dose for pain relief and sensory dysfunction after Gamma Knife radiosurgery for trigeminal neuralgia: an 871-patient multicenter study","volume":"141","author":"Warnick","year":"2024","journal-title":"J. Neurosurg."}],"container-title":["Physics in Medicine &amp; Biology"],"original-title":[],"link":[{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/adaf72","content-type":"text\/html","content-version":"am","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/adaf72\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/adaf72","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/adaf72\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/adaf72\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"syndication"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/adaf72\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"syndication"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/adaf72\/pdf","content-type":"application\/pdf","content-version":"am","intended-application":"similarity-checking"},{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/adaf72\/pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,2,6]],"date-time":"2025-02-06T10:06:19Z","timestamp":1738836379000},"score":1,"resource":{"primary":{"URL":"https:\/\/iopscience.iop.org\/article\/10.1088\/1361-6560\/adaf72"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2025,2,6]]},"references-count":20,"journal-issue":{"issue":"4","published-online":{"date-parts":[[2025,2,6]]},"published-print":{"date-parts":[[2025,2,16]]}},"URL":"https:\/\/doi.org\/10.1088\/1361-6560\/adaf72","relation":{},"ISSN":["0031-9155","1361-6560"],"issn-type":[{"value":"0031-9155","type":"print"},{"value":"1361-6560","type":"electronic"}],"subject":[],"published":{"date-parts":[[2025,2,6]]},"assertion":[{"value":"A simple plan strategy to optimize the biological effective dose delivered in robotic radiosurgery of vestibular schwannomas","name":"article_title","label":"Article Title"},{"value":"Physics in Medicine & Biology","name":"journal_title","label":"Journal Title"},{"value":"paper","name":"article_type","label":"Article Type"},{"value":"\u00a9 2025 Institute of Physics and Engineering in Medicine. All rights, including for text and data mining, AI training, and similar technologies, are reserved.","name":"copyright_information","label":"Copyright Information"},{"value":"2024-10-07","name":"date_received","label":"Date Received","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2025-01-28","name":"date_accepted","label":"Date Accepted","group":{"name":"publication_dates","label":"Publication dates"}},{"value":"2025-02-06","name":"date_epub","label":"Online publication date","group":{"name":"publication_dates","label":"Publication dates"}}]}}