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

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 protocol...

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Bibliographic Details
Main Authors: Schättler, Heinz, Ledzewicz, Urszula (Author)
Format: eBook
Language:English
Published: New York, NY Springer New York 2015, 2015
Edition:1st ed. 2015
Series:Interdisciplinary Applied Mathematics
Subjects:
Online Access:
Collection: Springer eBooks 2005- - Collection details see MPG.ReNa
Description
Summary: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
Physical Description:XIX, 496 p. 115 illus., 85 illus. in color online resource
ISBN:9781493929726