Optimal control of a mathematical model for cancer chemotherapy under tumor heterogeneity

DOI10.3934/MBE.2016040zbMath1350.49058OpenAlexW2509867540WikidataQ50561877 ScholiaQ50561877MaRDI QIDQ326554

Shuo Wang, Heinz Schättler

Publication date: 12 October 2016

Published in: Mathematical Biosciences and Engineering (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.3934/mbe.2016040

zbMATH Keywords

optimal controlsingular controlscancer chemotherapybang-bang controlstumor heterogeneity

Mathematics Subject Classification ID

Applications of optimal control and differential games (49N90) Application models in control theory (93C95) Medical applications (general) (92C50) Existence of optimal solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49J30) Existence theories for optimal control problems involving ordinary differential equations (49J15) Optimality conditions for problems involving ordinary differential equations (49K15) Optimality conditions for solutions belonging to restricted classes (Lipschitz controls, bang-bang controls, etc.) (49K30)

Related Items (7)

On drug resistance and metronomic chemotherapy: a mathematical modeling and optimal control approach ⋮ A mathematical model of stroma-supported allometric tumor growth ⋮ Global stability analysis and optimal control therapy of blood cell production process (hematopoiesis) in acute myeloid leukemia ⋮ Optimal control of cytotoxic and antiangiogenic therapies on prostate cancer growth ⋮ On the role of tumor heterogeneity for optimal cancer chemotherapy ⋮ Memory effects on the proliferative function in the cycle-specific of chemotherapy ⋮ An operator theoretic approach to linear ensemble control

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