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Singularity of controls in a simple model of acquired chemotherapy resistance

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Publication:2316381
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DOI10.3934/dcdsb.2019083zbMath1420.92049OpenAlexW2928804100WikidataQ128053559 ScholiaQ128053559MaRDI QIDQ2316381

Mariusz Bodzioch, Piotr Bajger, Urszula Fory's

Publication date: 26 July 2019

Published in: Discrete and Continuous Dynamical Systems. Series B (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/dcdsb.2019083


zbMATH Keywords

optimal controlordinary differential equationscancer chemotherapydrug resistancenon-homogeneous tumour


Mathematics Subject Classification ID

Medical applications (general) (92C50) Optimality conditions for problems involving ordinary differential equations (49K15)


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Modeling of drug resistance: Comparison of two hypotheses for slowly proliferating tumors on the example of low‐grade gliomas ⋮ Combination of antiangiogenic treatment with chemotherapy as a multi‐input optimal control problem ⋮ Competition between populations: preventing domination of resistant population using optimal control ⋮ An elementary mathematical modeling of drug resistance in cancer




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