Blasting neuroblastoma using optimal control of chemotherapy
A mathematical model is used to investigate the effectiveness of thechemotherapy drug Topotecan against neuroblastoma. Optimal control theoryis applied to minimize the tumor volume and the amount of drug utilized.The model incorporates a state constraint that requires the level ofcirculating neutrop...
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| Format: | Article |
| Language: | English |
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AIMS Press
2009-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.451 |
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| _version_ | 1832590190964637696 |
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| author | Craig Collins K. Renee Fister Bethany Key Mary Williams |
| author_facet | Craig Collins K. Renee Fister Bethany Key Mary Williams |
| author_sort | Craig Collins |
| collection | DOAJ |
| description | A mathematical model is used to investigate the effectiveness of thechemotherapy drug Topotecan against neuroblastoma. Optimal control theoryis applied to minimize the tumor volume and the amount of drug utilized.The model incorporates a state constraint that requires the level ofcirculating neutrophils (white blood cells that form an integral part of the immune system) to remain above an acceptable value. The treatmentschedule is designed to simultaneously satisfy this constraint and achievethe best results in fighting the tumor. Existence and uniqueness of the solution of theoptimality system, which is the state system coupled with the adjoint system, is established. Numericalsimulations are given to demonstrate the behavior of the tumor and the immune systemcomponents represented in the model. |
| format | Article |
| id | doaj-art-729cf85ff0cd4f348f4403667f2e1c56 |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2009-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-729cf85ff0cd4f348f4403667f2e1c562025-01-24T01:59:54ZengAIMS PressMathematical Biosciences and Engineering1551-00182009-05-016345146710.3934/mbe.2009.6.451Blasting neuroblastoma using optimal control of chemotherapyCraig Collins0K. Renee Fister1Bethany Key2Mary Williams3Department of Mathematics and Statistics, Murray State University, Murray, KY 42071Department of Mathematics and Statistics, Murray State University, Murray, KY 42071Department of Mathematics and Statistics, Murray State University, Murray, KY 42071Department of Mathematics and Statistics, Murray State University, Murray, KY 42071A mathematical model is used to investigate the effectiveness of thechemotherapy drug Topotecan against neuroblastoma. Optimal control theoryis applied to minimize the tumor volume and the amount of drug utilized.The model incorporates a state constraint that requires the level ofcirculating neutrophils (white blood cells that form an integral part of the immune system) to remain above an acceptable value. The treatmentschedule is designed to simultaneously satisfy this constraint and achievethe best results in fighting the tumor. Existence and uniqueness of the solution of theoptimality system, which is the state system coupled with the adjoint system, is established. Numericalsimulations are given to demonstrate the behavior of the tumor and the immune systemcomponents represented in the model.https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.451topotecan.optimal controlchemotherapy |
| spellingShingle | Craig Collins K. Renee Fister Bethany Key Mary Williams Blasting neuroblastoma using optimal control of chemotherapy Mathematical Biosciences and Engineering topotecan. optimal control chemotherapy |
| title | Blasting neuroblastoma using optimal control of chemotherapy |
| title_full | Blasting neuroblastoma using optimal control of chemotherapy |
| title_fullStr | Blasting neuroblastoma using optimal control of chemotherapy |
| title_full_unstemmed | Blasting neuroblastoma using optimal control of chemotherapy |
| title_short | Blasting neuroblastoma using optimal control of chemotherapy |
| title_sort | blasting neuroblastoma using optimal control of chemotherapy |
| topic | topotecan. optimal control chemotherapy |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2009.6.451 |
| work_keys_str_mv | AT craigcollins blastingneuroblastomausingoptimalcontrolofchemotherapy AT kreneefister blastingneuroblastomausingoptimalcontrolofchemotherapy AT bethanykey blastingneuroblastomausingoptimalcontrolofchemotherapy AT marywilliams blastingneuroblastomausingoptimalcontrolofchemotherapy |