Optimal chemical control of populations developing drug resistance
Autor: | M. I. S. Costa, Rodney Carlos Bassanezi, José Luiz Boldrini |
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Rok vydání: | 1992 |
Předmět: |
Pharmacology
Mathematical optimization Bacteria General Immunology and Microbiology Chemical treatment Applied Mathematics General Neuroscience Drug Resistance Paper production Antineoplastic Agents Drug Resistance Microbial General Medicine Drug resistance Optimal control Models Biological General Biochemistry Genetics and Molecular Biology System of differential equations Neoplasms Modeling and Simulation Humans Chemical control Mathematics General Environmental Science |
Zdroj: | Mathematical Medicine and Biology. 9:215-226 |
ISSN: | 1477-8602 1477-8599 |
DOI: | 10.1093/imammb/9.3.215 |
Popis: | A system of differential equations for the control of the growth of certain populations by the use of chemical treatment is presented. Rather general growth rates and kill rates of drugs, as well as drug resistance, are considered. A class of optimal control problems with a performance criterion depending on a parameter is formulated and shown to admit the same basic optimal strategy. Applications to cycle nonspecific chemotherapy and control of the growth of bacterial populations in cellulose media in paper production plants are described. |
Databáze: | OpenAIRE |
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