The Influence of PK/PD on the Structure of Optimal Controls in Cancer Chemotherapy Models
Mathematical models for cancer chemotherapy as optimal control problems are considered. Results on scheduling optimal therapies when the controls represent the effectiveness of chemotherapeutic agents, or, equivalently, when the simplifying assumption is made that drugs act instantaneously, are comp...
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| Format: | Article |
| Language: | English |
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AIMS Press
2005-07-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.561 |
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| author | Urszula Ledzewicz Heinz Schättler |
| author_facet | Urszula Ledzewicz Heinz Schättler |
| author_sort | Urszula Ledzewicz |
| collection | DOAJ |
| description | Mathematical models for cancer chemotherapy as optimal control problems are considered. Results on scheduling optimal therapies when the controls represent the effectiveness of chemotherapeutic agents, or, equivalently, when the simplifying assumption is made that drugs act instantaneously, are compared with more realistic models that include pharmacokinetic (PK) equations modelling the drug's plasma concentration and various pharmacodynamic (PD) models for the effect the concentrations have on cells. |
| format | Article |
| id | doaj-art-2327da9f2fcc46a6b79807189108648a |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2005-07-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-2327da9f2fcc46a6b79807189108648a2025-01-24T01:49:00ZengAIMS PressMathematical Biosciences and Engineering1551-00182005-07-012356157810.3934/mbe.2005.2.561The Influence of PK/PD on the Structure of Optimal Controls in Cancer Chemotherapy ModelsUrszula Ledzewicz0Heinz Schättler1Department of Mathematics and Statistics, Southern Illinois University at Edwardsville, Edwardsville, IL 62026-1653Dept. of Electrical and Systems Engineering, Washington University, St. Louis, Missouri, 63130-4899Mathematical models for cancer chemotherapy as optimal control problems are considered. Results on scheduling optimal therapies when the controls represent the effectiveness of chemotherapeutic agents, or, equivalently, when the simplifying assumption is made that drugs act instantaneously, are compared with more realistic models that include pharmacokinetic (PK) equations modelling the drug's plasma concentration and various pharmacodynamic (PD) models for the effect the concentrations have on cells.https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.561pharmaco-dynamicscancer chemotherapysingular controls.optimal controlpharmacokinetics |
| spellingShingle | Urszula Ledzewicz Heinz Schättler The Influence of PK/PD on the Structure of Optimal Controls in Cancer Chemotherapy Models Mathematical Biosciences and Engineering pharmaco-dynamics cancer chemotherapy singular controls. optimal control pharmacokinetics |
| title | The Influence of PK/PD on the Structure of Optimal Controls in Cancer Chemotherapy Models |
| title_full | The Influence of PK/PD on the Structure of Optimal Controls in Cancer Chemotherapy Models |
| title_fullStr | The Influence of PK/PD on the Structure of Optimal Controls in Cancer Chemotherapy Models |
| title_full_unstemmed | The Influence of PK/PD on the Structure of Optimal Controls in Cancer Chemotherapy Models |
| title_short | The Influence of PK/PD on the Structure of Optimal Controls in Cancer Chemotherapy Models |
| title_sort | influence of pk pd on the structure of optimal controls in cancer chemotherapy models |
| topic | pharmaco-dynamics cancer chemotherapy singular controls. optimal control pharmacokinetics |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2005.2.561 |
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