{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,5]],"date-time":"2026-09-05T01:47:29Z","timestamp":1788572849954,"version":"build-2803163510"},"reference-count":48,"publisher":"IOP Publishing","issue":"17","license":[{"start":{"date-parts":[[2023,8,14]],"date-time":"2023-08-14T00:00:00Z","timestamp":1691971200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/publishingsupport.iopscience.iop.org\/iop-standard\/v1"},{"start":{"date-parts":[[2023,8,14]],"date-time":"2023-08-14T00:00:00Z","timestamp":1691971200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/iopscience.iop.org\/info\/page\/text-and-data-mining"}],"funder":[{"DOI":"10.13039\/501100012246","name":"Priority Academic Program Development of Jiangsu Higher Education Institutions","doi-asserted-by":"crossref","id":[{"id":"10.13039\/501100012246","id-type":"DOI","asserted-by":"crossref"}]},{"name":"Innovative project of the State Key Laboratory of Radiation Medicine and Protection","award":["GZC00401"],"award-info":[{"award-number":["GZC00401"]}]},{"name":"The National Key R&D Program of China","award":["2022YFC2503204"],"award-info":[{"award-number":["2022YFC2503204"]}]},{"DOI":"10.13039\/501100001809","name":"National Natural Science Foundation of China","doi-asserted-by":"crossref","award":["12105200"],"award-info":[{"award-number":["12105200"]}],"id":[{"id":"10.13039\/501100001809","id-type":"DOI","asserted-by":"crossref"}]}],"content-domain":{"domain":["iopscience.iop.org"],"crossmark-restriction":false},"short-container-title":["Phys. Med. Biol."],"published-print":{"date-parts":[[2023,9,7]]},"abstract":"<jats:title>Abstract<\/jats:title>\n                  <jats:p>\n                    <jats:italic>Objective.<\/jats:italic>\n                    In clinical proton therapy, the spread-out Bragg peak (SOBP) is commonly used to fit the target shape. Dose depositions at microscopic sites vary, even with a consistent absorbed dose (\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mi>D<\/mml:mi>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    ) in SOBP. In the present study, monolayer mesh-type cell population models were developed for microdosimetric assessment at different SOBP depths.\n                    <jats:italic>Approach.<\/jats:italic>\n                    Normal human bronchial epithelial (BEAS-2B) and hepatocytes (L-O2) mesh-type cell models were constructed based on fluorescence tomography images of normal human cells. Particle transport simulation in cell populations was performed coupled with Monte Carlo software PHITS. The relationship between microdosimetry and macrodosimetry of SOBP at different depths was described by analyzing the microdosimetric indicators such as specific energy\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mi>z<\/mml:mi>\n                        <mml:mo>,<\/mml:mo>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    specific energy distribution\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mi>f<\/mml:mi>\n                        <mml:mrow>\n                          <mml:mfenced close=\")\" open=\"(\" separators=\"\">\n                            <mml:mrow>\n                              <mml:mi>z<\/mml:mi>\n                              <mml:mo>,<\/mml:mo>\n                              <mml:mspace width=\"0.25em\"\/>\n                              <mml:mi>D<\/mml:mi>\n                            <\/mml:mrow>\n                          <\/mml:mfenced>\n                        <\/mml:mrow>\n                        <mml:mo>,<\/mml:mo>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    and relative standard deviation\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:msub>\n                          <mml:mrow>\n                            <mml:mi>\u03c3<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mi>z<\/mml:mi>\n                          <\/mml:mrow>\n                        <\/mml:msub>\n                        <mml:mo>\/<\/mml:mo>\n                        <mml:mover accent=\"true\">\n                          <mml:mi>z<\/mml:mi>\n                          <mml:mo>\u00af<\/mml:mo>\n                        <\/mml:mover>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    within cells. Additionally, the microdosimetric distributions characteristics and their contributing factors were also discussed.\n                    <jats:italic>Main results.<\/jats:italic>\n                    The microscopic dose distribution is strongly influenced by cellular size, shape, and material. The mean specific energy\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mover accent=\"true\">\n                          <mml:mi>z<\/mml:mi>\n                          <mml:mo>\u00af<\/mml:mo>\n                        <\/mml:mover>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    of nucleus and cytoplasm in the cell population is greater than the overall absorbed dose of the cell population model (\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:msub>\n                          <mml:mrow>\n                            <mml:mi>D<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mi>p<\/mml:mi>\n                          <\/mml:mrow>\n                        <\/mml:msub>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    ), with a maximum\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mover accent=\"true\">\n                          <mml:mi>z<\/mml:mi>\n                          <mml:mo>\u00af<\/mml:mo>\n                        <\/mml:mover>\n                        <mml:mo>\/<\/mml:mo>\n                        <mml:msub>\n                          <mml:mrow>\n                            <mml:mi>D<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mi>p<\/mml:mi>\n                          <\/mml:mrow>\n                        <\/mml:msub>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    of 1.1. The cellular dose distribution is different between the BEAS-2B mesh-type model and its concentric ellipsoid geometry-type model, which difference in\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mover accent=\"true\">\n                          <mml:mi>z<\/mml:mi>\n                          <mml:mo>\u00af<\/mml:mo>\n                        <\/mml:mover>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    is about 10.3% for the nucleus and about 7.5% for the cytoplasm with the SOBP depth of 15 cm. When\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mi>D<\/mml:mi>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    = 2 Gy, the maximum\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mi>z<\/mml:mi>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    of L-O2 nucleus reaches 2.8 Gy and\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:msub>\n                          <mml:mrow>\n                            <mml:mi>\u03c3<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mi>z<\/mml:mi>\n                          <\/mml:mrow>\n                        <\/mml:msub>\n                        <mml:mo>\/<\/mml:mo>\n                        <mml:mover accent=\"true\">\n                          <mml:mi>z<\/mml:mi>\n                          <mml:mo>\u00af<\/mml:mo>\n                        <\/mml:mover>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    is 5.1% at the mid-depth SOBP (16\u201318 cm); while the maximum\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:mi>z<\/mml:mi>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    of the BEAS-2B nucleus reaches 2.2 Gy with only 2.7% of\n                    <jats:inline-formula>\n                      <jats:tex-math>\n                        \n                      <\/jats:tex-math>\n                      <mml:math xmlns:mml=\"http:\/\/www.w3.org\/1998\/Math\/MathML\" overflow=\"scroll\">\n                        <mml:msub>\n                          <mml:mrow>\n                            <mml:mi>\u03c3<\/mml:mi>\n                          <\/mml:mrow>\n                          <mml:mrow>\n                            <mml:mi>z<\/mml:mi>\n                          <\/mml:mrow>\n                        <\/mml:msub>\n                        <mml:mo>\/<\/mml:mo>\n                        <mml:mover accent=\"true\">\n                          <mml:mi>z<\/mml:mi>\n                          <mml:mo>\u00af<\/mml:mo>\n                        <\/mml:mover>\n                      <\/mml:math>\n                    <\/jats:inline-formula>\n                    .\n                    <jats:italic>Significance.<\/jats:italic>\n                    The significant variation of microdosimetric distributions of SOBP different depths indicates the necessity to use mesh-type cell population models, which have the potential to be compared with biological results and build the bio-physical model.\n                  <\/jats:p>","DOI":"10.1088\/1361-6560\/acec2b","type":"journal-article","created":{"date-parts":[[2023,8,14]],"date-time":"2023-08-14T06:10:47Z","timestamp":1691993447000},"page":"175010","update-policy":"https:\/\/doi.org\/10.1088\/crossmark-policy","source":"Crossref","is-referenced-by-count":8,"title":["Microdosimetric assessment about proton spread-out Bragg peak at different depths 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