Optimization of Radiation Therapy Fractionation Schedules in the Presence of Tumor Repopulation
We analyze the effect of tumor repopulation on optimal dose delivery in radiation therapy. We are primarily motivated by accelerated tumor repopulation toward the end of radiation treatment, which is believed to play a role in treatment failure for some tumor sites. A dynamic programming framework i...
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Institute for Operations Research and the Management Sciences (INFORMS)
2017
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Online Access: | http://hdl.handle.net/1721.1/111066 https://orcid.org/0000-0003-2658-8239 |
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author | Bortfeld, Thomas Ramakrishnan, Jagdish Unkelbach, Jan Tsitsiklis, John N |
author2 | Massachusetts Institute of Technology. Laboratory for Information and Decision Systems |
author_facet | Massachusetts Institute of Technology. Laboratory for Information and Decision Systems Bortfeld, Thomas Ramakrishnan, Jagdish Unkelbach, Jan Tsitsiklis, John N |
author_sort | Bortfeld, Thomas |
collection | MIT |
description | We analyze the effect of tumor repopulation on optimal dose delivery in radiation therapy. We are primarily motivated by accelerated tumor repopulation toward the end of radiation treatment, which is believed to play a role in treatment failure for some tumor sites. A dynamic programming framework is developed to determine an optimal fractionation scheme based on a model of cell kill from radiation and tumor growth in between treatment days. We find that faster tumor growth suggests shorter overall treatment duration. In addition, the presence of accelerated repopulation suggests larger dose fractions later in the treatment to compensate for the increased tumor proliferation. We prove that the optimal dose fractions are increasing over time. Numerical simulations indicate a potential for improvement in treatment effectiveness. |
first_indexed | 2024-09-23T14:01:13Z |
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id | mit-1721.1/111066 |
institution | Massachusetts Institute of Technology |
language | en_US |
last_indexed | 2024-09-23T14:01:13Z |
publishDate | 2017 |
publisher | Institute for Operations Research and the Management Sciences (INFORMS) |
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spelling | mit-1721.1/1110662022-10-01T18:35:53Z Optimization of Radiation Therapy Fractionation Schedules in the Presence of Tumor Repopulation Bortfeld, Thomas Ramakrishnan, Jagdish Unkelbach, Jan Tsitsiklis, John N Massachusetts Institute of Technology. Laboratory for Information and Decision Systems Tsitsiklis, John N We analyze the effect of tumor repopulation on optimal dose delivery in radiation therapy. We are primarily motivated by accelerated tumor repopulation toward the end of radiation treatment, which is believed to play a role in treatment failure for some tumor sites. A dynamic programming framework is developed to determine an optimal fractionation scheme based on a model of cell kill from radiation and tumor growth in between treatment days. We find that faster tumor growth suggests shorter overall treatment duration. In addition, the presence of accelerated repopulation suggests larger dose fractions later in the treatment to compensate for the increased tumor proliferation. We prove that the optimal dose fractions are increasing over time. Numerical simulations indicate a potential for improvement in treatment effectiveness. 2017-08-29T19:56:56Z 2017-08-29T19:56:56Z 2015-12 2015-05 Article http://purl.org/eprint/type/JournalArticle 1091-9856 1526-5528 http://hdl.handle.net/1721.1/111066 Bortfeld, Thomas et al. “Optimization of Radiation Therapy Fractionation Schedules in the Presence of Tumor Repopulation.” INFORMS Journal on Computing 27, 4 (November 2015): 788–803 © 2015 Institute for Operations Research and the Management Sciences (INFORMS) https://orcid.org/0000-0003-2658-8239 en_US http://dx.doi.org/10.1287/ijoc.2015.0659 INFORMS Journal on Computing Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/pdf Institute for Operations Research and the Management Sciences (INFORMS) arXiv |
spellingShingle | Bortfeld, Thomas Ramakrishnan, Jagdish Unkelbach, Jan Tsitsiklis, John N Optimization of Radiation Therapy Fractionation Schedules in the Presence of Tumor Repopulation |
title | Optimization of Radiation Therapy Fractionation Schedules in the Presence of Tumor Repopulation |
title_full | Optimization of Radiation Therapy Fractionation Schedules in the Presence of Tumor Repopulation |
title_fullStr | Optimization of Radiation Therapy Fractionation Schedules in the Presence of Tumor Repopulation |
title_full_unstemmed | Optimization of Radiation Therapy Fractionation Schedules in the Presence of Tumor Repopulation |
title_short | Optimization of Radiation Therapy Fractionation Schedules in the Presence of Tumor Repopulation |
title_sort | optimization of radiation therapy fractionation schedules in the presence of tumor repopulation |
url | http://hdl.handle.net/1721.1/111066 https://orcid.org/0000-0003-2658-8239 |
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