Mathematical modeling of cyclic treatments of chronic myeloid leukemia
Cyclic treatmentstrategies in Chronic Myeloid Leukemia (CML) are characterized byalternating applications of two (or more) different drugs, given oneat a time. One of the main causes for treatment failure in CML is thegeneration of drug resistance by mutations of cancerous cells. We usemathematical...
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AIMS Press
2011-03-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.289 |
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| author | Natalia L. Komarova |
| author_facet | Natalia L. Komarova |
| author_sort | Natalia L. Komarova |
| collection | DOAJ |
| description | Cyclic treatmentstrategies in Chronic Myeloid Leukemia (CML) are characterized byalternating applications of two (or more) different drugs, given oneat a time. One of the main causes for treatment failure in CML is thegeneration of drug resistance by mutations of cancerous cells. We usemathematical methods to develop general guidelines on optimal cyclictreatment scheduling, with the aim of minimizing the resistancegeneration. We define a condition on the drugs' potencies which allowsfor a relatively successful application of cyclic therapies. We findthat the best strategy is to start with the stronger drug, but uselonger cycle durations for the weaker drug. We further investigate thesituation where a degree of cross-resistance is present, such thatcertain mutations cause cells to become resistant to both drugssimultaneously. |
| format | Article |
| id | doaj-art-b4d2e714c6a345069b2845dfe368d17b |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2011-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-b4d2e714c6a345069b2845dfe368d17b2025-01-24T02:01:39ZengAIMS PressMathematical Biosciences and Engineering1551-00182011-03-018228930610.3934/mbe.2011.8.289Mathematical modeling of cyclic treatments of chronic myeloid leukemiaNatalia L. Komarova0Department of Mathematics, University of California Irvine, Irvine CA 92697Cyclic treatmentstrategies in Chronic Myeloid Leukemia (CML) are characterized byalternating applications of two (or more) different drugs, given oneat a time. One of the main causes for treatment failure in CML is thegeneration of drug resistance by mutations of cancerous cells. We usemathematical methods to develop general guidelines on optimal cyclictreatment scheduling, with the aim of minimizing the resistancegeneration. We define a condition on the drugs' potencies which allowsfor a relatively successful application of cyclic therapies. We findthat the best strategy is to start with the stronger drug, but uselonger cycle durations for the weaker drug. We further investigate thesituation where a degree of cross-resistance is present, such thatcertain mutations cause cells to become resistant to both drugssimultaneously.https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.289the worst drug rulecmlmathematical modeling of cancerdrugs resistancecross-resistance. |
| spellingShingle | Natalia L. Komarova Mathematical modeling of cyclic treatments of chronic myeloid leukemia Mathematical Biosciences and Engineering the worst drug rule cml mathematical modeling of cancer drugs resistance cross-resistance. |
| title | Mathematical modeling of cyclic treatments of chronic myeloid leukemia |
| title_full | Mathematical modeling of cyclic treatments of chronic myeloid leukemia |
| title_fullStr | Mathematical modeling of cyclic treatments of chronic myeloid leukemia |
| title_full_unstemmed | Mathematical modeling of cyclic treatments of chronic myeloid leukemia |
| title_short | Mathematical modeling of cyclic treatments of chronic myeloid leukemia |
| title_sort | mathematical modeling of cyclic treatments of chronic myeloid leukemia |
| topic | the worst drug rule cml mathematical modeling of cancer drugs resistance cross-resistance. |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2011.8.289 |
| work_keys_str_mv | AT natalialkomarova mathematicalmodelingofcyclictreatmentsofchronicmyeloidleukemia |