A dynamic programming approach for approximate optimal control for cancer therapy

DOI10.1007/S10957-012-0137-ZzbMath1268.49034DBLPjournals/jota/NowakowskiP13OpenAlexW2067036383WikidataQ104413717 ScholiaQ104413717MaRDI QIDQ1949602

Yanyan Li

Publication date: 8 May 2013

Published in: Journal of Optimization Theory and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10957-012-0137-z

zbMATH Keywords

optimal controldynamic programmingHamilton-Jacobi equationcancer therapyfinite horizon controlapproximate value function

Mathematics Subject Classification ID

Optimality conditions for problems involving partial differential equations (49K20) Dynamic programming in optimal control and differential games (49L20) Applications of optimal control and differential games (49N90) Dynamic programming (90C39) Control/observation systems governed by ordinary differential equations (93C15) Discrete approximations in optimal control (49M25) Optimality conditions for problems involving ordinary differential equations (49K15)

Cites Work

• Unnamed Item
• \(\varepsilon\)-value function and dynamic programming
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• Optimal bang-bang controls for a two-compartment model in cancer chemotherapy
• Tumour eradication by antiangiogenic therapy: analysis and extensions of the model by Hahnfeldt et al. (1999)
• Optimal solutions for a model of tumor anti-angiogenesis with a penalty on the cost of treatment
• AntiAngiogenic Therapy in Cancer Treatment as an Optimal Control Problem
• Second Order Sufficient Conditions for Optimal Control Problems with Free Final Time: The Riccati Approach
• Approximation of an optimal value of a Bolza functional

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