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作者 Schattler, Heinz, author
書名 Optimal control for mathematical models of cancer therapies : an application of geometric methods / by Heinz Schattler, Urszula Ledzewicz
出版項 New York, NY : Springer New York : Imprint: Springer, 2015
國際標準書號 9781493929726 (electronic bk.)
9781493929719 (paper)
國際標準號碼 10.1007/978-1-4939-2972-6 doi
book jacket
說明 1 online resource (xix, 496 pages) : illustrations, digital ; 24 cm
text txt rdacontent
computer c rdamedia
online resource cr rdacarrier
text file PDF rda
系列 Interdisciplinary applied mathematics, 0939-6047
Interdisciplinary applied mathematics
附註 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
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
Host Item Springer eBooks
主題 Cancer -- Treatment -- Mathematical models
Calculus of Variations and Optimal Control; Optimization
Cancer Research
Alt Author Ledzewicz, Urszula, author
SpringerLink (Online service)
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