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.
Publisher: Springer-Verlag New York Inc.
Number of pages: 496
Weight: 1165 g
Dimensions: 235 x 155 x 31 mm
Edition: 1st ed. 2015
"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 Swierniak, zbMATH 1331.92008, 2016)
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