Optimal Control for Mathematical Models of Cancer Therapies
An Application of Geometric Methods
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Beschreibung
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.
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.
Applies geometric optimal control to real life problems arising in cancer research, for the first time published in book form Combines rigorous mathematical analysis with biomedical background and interpretations Detailed complete solutions of optimal control problems for mathematically challenging, up-to-date biomedical models Outcomes of elaborate constructions of solutions provide insights into design of optimal protocols and at the same time are great illustrations of the power of geometric methods
Autor*in
Heinz Schättler
Themen in »Optimal Control for Mathematical Models of Cancer Therapies«
Optimal control anti-angiogenic treatment geometric optimal control mathematical models mathematical models forcancer therapies optimal protocols
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“The book is a self-contained monograph on the application of tools and techniques of optimal control theory to a wide class of problems arising in oncology. … All considerations are presented in a rigorous mathematical language, but the authors do their best to be understandable also for researchers involved in systems biology with a moderate mathematical background.” (Andrzej Świerniak, zbMATH 1331.92008, 2016)
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