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Optimal Control for Mathematical Models of Cancer Therapies : An Application of Geometric Methods

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概要 This book presents applications of geometric optimal control to real life biomedical problems with an emphasis on cancer treatments. A number of mathematical models for both classical and novel cancer... treatments are presented as optimal control problems with the goal of constructing optimal protocols. The power of geometric methods is illustrated with fully worked out complete global solutions to these mathematically challenging problems. Elaborate constructions of optimal controls and corresponding system responses provide great examples of applications of the tools of geometric optimal control and the outcomes aid the design of simpler, practically realizable suboptimal protocols. The book blends mathematical rigor with practically important topics in an easily readable tutorial style. Graduate students and researchers in science and engineering, particularly biomathematics and more mathematical aspects of biomedical engineering, would find this book particularly useful.続きを見る
目次 Cancer and Tumor Development: Biomedical Background
Cell-Cycle Specific Cancer Chemotherapy for Homogeneous Tumors
Cancer Chemotherapy for Heterogeneous Tumor Cell Populations and Drug Resistance
Optimal Control for Problems with a Quadratic Cost Functional on the Therapeutic Agents
Optimal Control of Mathematical Models for Antiangiogenic Treatments
Robust Suboptimal Treatment Protocols for Antiangiogenic Therapy
Combination Therapies with Antiangiogenic Treatments
Optimal Control for Mathematical Models of Tumor Immune System Interactions
Concluding Remarks
Appendices.
本文を見る Full text available from Springer Mathematics and Statistics eBooks 2015 English/International

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登録日 2020.06.27
更新日 2020.06.28