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Med. Biol."],"published-print":{"date-parts":[[2025,1,19]]},"abstract":"<jats:title>Abstract<\/jats:title>\n               <jats:p>\n                  <jats:italic>Objective.<\/jats:italic> The tumor microenvironment characterized by heterogeneously organized vasculatures causes intra-tumoral heterogeneity of oxygen partial pressure <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>p<\/mml:mi>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                  <\/jats:inline-formula> at the cellular level, which cannot be measured by current imaging techniques. The intra-tumoral cellular <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>p<\/mml:mi>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                  <\/jats:inline-formula> heterogeneity may lead to a reduction of therapeutic effects of radiation. The purpose of this study was to investigate the effects of the heterogeneity on biological effectiveness of H-, He-, C-, O-, and Ne-ion beams for different oxygenation levels, prescribed dose levels, and cell types. <jats:italic>Approach.<\/jats:italic> The intra-tumoral cellular <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>p<\/mml:mi>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                  <\/jats:inline-formula> distributions were simulated with a numerical tumor model for average oxygen pressures <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:mrow>\n                              <mml:msub>\n                                 <mml:mrow>\n                                    <mml:mover>\n                                       <mml:mi>p<\/mml:mi>\n                                       <mml:mo stretchy=\"false\">\u00af<\/mml:mo>\n                                    <\/mml:mover>\n                                 <\/mml:mrow>\n                                 <mml:mrow>\n                                    <mml:mtext>t<\/mml:mtext>\n                                 <\/mml:mrow>\n                              <\/mml:msub>\n                           <\/mml:mrow>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                  <\/jats:inline-formula> ranging from 2.5 to 15 mmHg. The relative biological effectiveness (RBE)-weighted dose distributions of 3\u201315 Gy prescribed doses were planned for a cuboid target with the five ion species for constant <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:mrow>\n                              <mml:msub>\n                                 <mml:mrow>\n                                    <mml:mover>\n                                       <mml:mi>p<\/mml:mi>\n                                       <mml:mo stretchy=\"false\">\u00af<\/mml:mo>\n                                    <\/mml:mover>\n                                 <\/mml:mrow>\n                                 <mml:mrow>\n                                    <mml:mtext>t<\/mml:mtext>\n                                 <\/mml:mrow>\n                              <\/mml:msub>\n                           <\/mml:mrow>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                  <\/jats:inline-formula> values. Radiosensitivities of human salivary gland tumor (HSG) and Chinese hamster ovary (CHO) cells were investigated. The planned dose distributions were then recalculated by taking the <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>p<\/mml:mi>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                  <\/jats:inline-formula> heterogeneity into account. <jats:italic>Main results.<\/jats:italic> As <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:mrow>\n                              <mml:msub>\n                                 <mml:mrow>\n                                    <mml:mover>\n                                       <mml:mi>p<\/mml:mi>\n                                       <mml:mo stretchy=\"false\">\u00af<\/mml:mo>\n                                    <\/mml:mover>\n                                 <\/mml:mrow>\n                                 <mml:mrow>\n                                    <mml:mtext>t<\/mml:mtext>\n                                 <\/mml:mrow>\n                              <\/mml:msub>\n                           <\/mml:mrow>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                  <\/jats:inline-formula> decreased and prescribed dose increased, the biological effectiveness of the ion beams decreased due to the <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>p<\/mml:mi>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                  <\/jats:inline-formula> heterogeneity. The reduction in biological effectiveness was pronounced for lighter H- and He-ion beams compared to heavier C-, O-, and Ne-ion beams. The RBE-weighted dose in the target for HSG (CHO) cells decreased by 41.2% (44.3%) for the H-ion beam, while it decreased by 16.7% (14.7%) for the Ne-ion beam at a prescribed dose of 15 Gy under a <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:mrow>\n                              <mml:msub>\n                                 <mml:mrow>\n                                    <mml:mover>\n                                       <mml:mi>p<\/mml:mi>\n                                       <mml:mo stretchy=\"false\">\u00af<\/mml:mo>\n                                    <\/mml:mover>\n                                 <\/mml:mrow>\n                                 <mml:mrow>\n                                    <mml:mtext>t<\/mml:mtext>\n                                 <\/mml:mrow>\n                              <\/mml:msub>\n                           <\/mml:mrow>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                  <\/jats:inline-formula> of 2.5 mmHg. <jats:italic>Significance.<\/jats:italic> The intra-tumoral cellular <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>p<\/mml:mi>\n                        <\/mml:mrow>\n                     <\/mml:math>\n                  <\/jats:inline-formula> heterogeneity causes a significant reduction in biological effectiveness of ion beams. These effects should be considered in estimation of therapeutic outcomes.<\/jats:p>","DOI":"10.1088\/1361-6560\/ada5a5","type":"journal-article","created":{"date-parts":[[2025,1,3]],"date-time":"2025-01-03T22:55:27Z","timestamp":1735944927000},"page":"025008","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":4,"title":["Effects of intra-tumoral cellular heterogeneity of oxygen partial pressure on biological effectiveness of hydrogen-, helium-, carbon-, oxygen-, and neon-ion beams"],"prefix":"10.1088","volume":"70","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-2967-4004","authenticated-orcid":true,"given":"Taku","family":"Inaniwa","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0001-9648-764X","authenticated-orcid":true,"given":"Takamitsu","family":"Masuda","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-2534-9933","authenticated-orcid":true,"given":"Nobuyuki","family":"Kanematsu","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"266","published-online":{"date-parts":[[2025,1,16]]},"reference":[{"key":"pmbada5a5bib1","doi-asserted-by":"publisher","first-page":"18","DOI":"10.1093\/jrr\/rrs070","article-title":"Radiobiological description of the LET dependence of the cell survival of oxic and anoxic cells irradiated by carbon ions","volume":"54","author":"Antonovic","year":"2013","journal-title":"J. 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