On the MTD paradigm and optimal control for multi-drug cancer chemotherapy
In standard chemotherapy protocols, drugs are given at maximum tolerated doses(MTD) with rest periods in between. In this paper, we briefly discuss therationale behind this therapy approach and, using as examplemulti-drug cancer chemotherapy with a cytotoxic and cytostatic agent, show thatthese type...
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| Format: | Article |
| Language: | English |
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AIMS Press
2013-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.803 |
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| author | Urszula Ledzewicz Heinz Schättler Mostafa Reisi Gahrooi Siamak Mahmoudian Dehkordi |
| author_facet | Urszula Ledzewicz Heinz Schättler Mostafa Reisi Gahrooi Siamak Mahmoudian Dehkordi |
| author_sort | Urszula Ledzewicz |
| collection | DOAJ |
| description | In standard chemotherapy protocols, drugs are given at maximum tolerated doses(MTD) with rest periods in between. In this paper, we briefly discuss therationale behind this therapy approach and, using as examplemulti-drug cancer chemotherapy with a cytotoxic and cytostatic agent, show thatthese types of protocols are optimal in the sense of minimizing a weightedaverage of the number of tumor cells (taken both at the end of therapy and atintermediate times) and the total dose given if it is assumed that the tumorconsists of a homogeneous population of chemotherapeutically sensitive cells.A $2$-compartment linear model is used to model the pharmacokinetic equations for the drugs. |
| format | Article |
| id | doaj-art-b096fbcd13444fd3ad5e0ff4b3d39dff |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2013-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-b096fbcd13444fd3ad5e0ff4b3d39dff2025-01-24T02:26:12ZengAIMS PressMathematical Biosciences and Engineering1551-00182013-03-0110380381910.3934/mbe.2013.10.803On the MTD paradigm and optimal control for multi-drug cancer chemotherapyUrszula Ledzewicz0Heinz Schättler1Mostafa Reisi Gahrooi2Siamak Mahmoudian Dehkordi3Dept. of Mathematics and Statistics, Southern Illinois University Edwardsville, Edwardsville, Illinois, 62026-1653Dept. of Mathematics and Statistics, Southern Illinois University Edwardsville, Edwardsville, Illinois, 62026-1653Dept. of Mathematics and Statistics, Southern Illinois University Edwardsville, Edwardsville, Illinois, 62026-1653Dept. of Mathematics and Statistics, Southern Illinois University Edwardsville, Edwardsville, Illinois, 62026-1653In standard chemotherapy protocols, drugs are given at maximum tolerated doses(MTD) with rest periods in between. In this paper, we briefly discuss therationale behind this therapy approach and, using as examplemulti-drug cancer chemotherapy with a cytotoxic and cytostatic agent, show thatthese types of protocols are optimal in the sense of minimizing a weightedaverage of the number of tumor cells (taken both at the end of therapy and atintermediate times) and the total dose given if it is assumed that the tumorconsists of a homogeneous population of chemotherapeutically sensitive cells.A $2$-compartment linear model is used to model the pharmacokinetic equations for the drugs.https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.803multi-drug treatments.chemotherapyoptimal control |
| spellingShingle | Urszula Ledzewicz Heinz Schättler Mostafa Reisi Gahrooi Siamak Mahmoudian Dehkordi On the MTD paradigm and optimal control for multi-drug cancer chemotherapy Mathematical Biosciences and Engineering multi-drug treatments. chemotherapy optimal control |
| title | On the MTD paradigm and optimal control for multi-drug cancer chemotherapy |
| title_full | On the MTD paradigm and optimal control for multi-drug cancer chemotherapy |
| title_fullStr | On the MTD paradigm and optimal control for multi-drug cancer chemotherapy |
| title_full_unstemmed | On the MTD paradigm and optimal control for multi-drug cancer chemotherapy |
| title_short | On the MTD paradigm and optimal control for multi-drug cancer chemotherapy |
| title_sort | on the mtd paradigm and optimal control for multi drug cancer chemotherapy |
| topic | multi-drug treatments. chemotherapy optimal control |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2013.10.803 |
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