Optimal Control for Mathematical Models of Cancer Therapies

An Application of Geometric Methods

Nonfiction, Science & Nature, Mathematics, Geometry, Calculus
Cover of the book Optimal Control for Mathematical Models of Cancer Therapies by Heinz Schättler, Urszula Ledzewicz, Springer New York
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Author: Heinz Schättler, Urszula Ledzewicz ISBN: 9781493929726
Publisher: Springer New York Publication: September 15, 2015
Imprint: Springer Language: English
Author: Heinz Schättler, Urszula Ledzewicz
ISBN: 9781493929726
Publisher: Springer New York
Publication: September 15, 2015
Imprint: Springer
Language: English

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.

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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.

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