Cancer chemotherapy: Optimal control using the Verhulst-Pearl equation

DOI10.1007/BF02459688zbMath0613.92007OpenAlexW2012333454WikidataQ43697720 ScholiaQ43697720MaRDI QIDQ1820077

George W. Swan

Publication date: 1986

Published in: Bulletin of Mathematical Biology (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02459688

zbMATH Keywords

optimal controllinear modellogistic equationcancer chemotherapytumor growth dynamicsquadratic objective functionsoptimal dose problemsaturation modelVerhulst-Pearl equation

Mathematics Subject Classification ID

Medical applications (general) (92C50) Control problems involving ordinary differential equations (34H05) Control/observation systems governed by ordinary differential equations (93C15)

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An optimal control problem in cancer chemotherapy ⋮ Constrained bilinear control problem: Application to a cancer chemotherapy model ⋮ Optimal control for a cancer chemotherapy problem with general growth and loss functions ⋮ Role of optimal control theory in cancer chemotherapy ⋮ A branching process model of heterogeneous DNA damages caused by radiotherapy in \textit{in vitro} cell cultures ⋮ Cancer chemotherapy: Optimal control using the Verhulst-Pearl equation ⋮ Near-optimal stochastic control for radiotherapy treatment in a random cancer model

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