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作者 Schättler, Heinz M., 1956- author
書名 Optimal control for mathematical models of cancer therapies : an application of geometric methods / Heinz Schättler, Urszula Ledzewicz
出版項 New York [New York] : Springer, [2015]
國際標準書號 9781493929719
1493929712
book jacket
館藏地 索書號 處理狀態 OPAC 訊息 條碼
 數學所圖書室  RC270.8 S33 2015    在架上    30340200545725
說明 xix, 496 pages : illustrations ; 24 cm
系列 Interdisciplinary applied mathematics
Interdisciplinary applied mathematics
附註 Includes bibliographical references and index
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
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
主題 Cancer -- Treatment -- Mathematical models
Cancer -- Thérapeutique -- Modèles mathématiques. ram
Alt Author Ledzewicz, Urszula, author
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