Rotating antibiotics selects optimally against antibiotic resistance, in theory
The purpose of this paper is to use mathematical models to investigate the claim made in the medical literature over a decade ago that the routine rotation of antibiotics in an intensive care unit (ICU) will select against the evolution and spread of antibiotic-resistant pathogens. In contrast, pr...
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AIMS Press
2010-05-01
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| Series: | Mathematical Biosciences and Engineering |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.527 |
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| author | Robert E. Beardmore Rafael Peña-Miller |
| author_facet | Robert E. Beardmore Rafael Peña-Miller |
| author_sort | Robert E. Beardmore |
| collection | DOAJ |
| description | The purpose of this paper is to use mathematical models to investigate the claim made in the medical literature over a decade ago that the routine rotation of antibiotics in an intensive care unit (ICU) will select against the evolution and spread of antibiotic-resistant pathogens. In contrast, previous theoretical studies addressing this question have demonstrated that routinely changing the drug of choice for a given pathogenic infection may in fact lead to a greater incidence of drug resistance in comparison to the random deployment of different drugs. Using mathematical models that do not explicitly incorporate the spatial dynamics of pathogen transmission within the ICU or hospital and assuming the antibiotics are from distinct functional groups, we use a control theoretic-approach to prove that one can relax the medical notion of what constitutes an antibiotic rotation and so obtain protocols that are arbitrarily close to the optimum.Finally, we show that theoretical feedback control measures that rotate between different antibiotics motivated directly by the outcome of clinical studies can be deployed to good effect to reduce the prevalence of antibiotic resistance below what can be achieved with random antibiotic use. |
| format | Article |
| id | doaj-art-c9ddcaa47bf3406c9e79501e33efdf9d |
| institution | Kabale University |
| issn | 1551-0018 |
| language | English |
| publishDate | 2010-05-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Mathematical Biosciences and Engineering |
| spelling | doaj-art-c9ddcaa47bf3406c9e79501e33efdf9d2025-01-24T02:00:43ZengAIMS PressMathematical Biosciences and Engineering1551-00182010-05-017352755210.3934/mbe.2010.7.527Rotating antibiotics selects optimally against antibiotic resistance, in theoryRobert E. Beardmore0Rafael Peña-Miller1Department of Mathematics, Imperial College London, SW7 2AZ, LondonDepartment of Mathematics, Imperial College London, SW7 2AZ, LondonThe purpose of this paper is to use mathematical models to investigate the claim made in the medical literature over a decade ago that the routine rotation of antibiotics in an intensive care unit (ICU) will select against the evolution and spread of antibiotic-resistant pathogens. In contrast, previous theoretical studies addressing this question have demonstrated that routinely changing the drug of choice for a given pathogenic infection may in fact lead to a greater incidence of drug resistance in comparison to the random deployment of different drugs. Using mathematical models that do not explicitly incorporate the spatial dynamics of pathogen transmission within the ICU or hospital and assuming the antibiotics are from distinct functional groups, we use a control theoretic-approach to prove that one can relax the medical notion of what constitutes an antibiotic rotation and so obtain protocols that are arbitrarily close to the optimum.Finally, we show that theoretical feedback control measures that rotate between different antibiotics motivated directly by the outcome of clinical studies can be deployed to good effect to reduce the prevalence of antibiotic resistance below what can be achieved with random antibiotic use.https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.527antibiotic rotationdrug resistance.control theoryepidemiology |
| spellingShingle | Robert E. Beardmore Rafael Peña-Miller Rotating antibiotics selects optimally against antibiotic resistance, in theory Mathematical Biosciences and Engineering antibiotic rotation drug resistance. control theory epidemiology |
| title | Rotating antibiotics selects optimally against antibiotic resistance, in theory |
| title_full | Rotating antibiotics selects optimally against antibiotic resistance, in theory |
| title_fullStr | Rotating antibiotics selects optimally against antibiotic resistance, in theory |
| title_full_unstemmed | Rotating antibiotics selects optimally against antibiotic resistance, in theory |
| title_short | Rotating antibiotics selects optimally against antibiotic resistance, in theory |
| title_sort | rotating antibiotics selects optimally against antibiotic resistance in theory |
| topic | antibiotic rotation drug resistance. control theory epidemiology |
| url | https://www.aimspress.com/article/doi/10.3934/mbe.2010.7.527 |
| work_keys_str_mv | AT robertebeardmore rotatingantibioticsselectsoptimallyagainstantibioticresistanceintheory AT rafaelpenamiller rotatingantibioticsselectsoptimallyagainstantibioticresistanceintheory |