MARC 主機 00000nam a2200517 i 4500 
001    978-1-4939-2972-6 
003    DE-He213 
005    20160412105848.0 
006    m     o  d         
007    cr nn 008maaau 
008    150915s2015    nyu     s         0 eng d 
020    9781493929726|q(electronic bk.) 
020    9781493929719|q(paper) 
024 7  10.1007/978-1-4939-2972-6|2doi 
040    GP|cGP|erda|dAS 
041 0  eng 
050  4 RC270.8 
082 04 616.99406|223 
100 1  Schattler, Heinz,|eauthor 
245 10 Optimal control for mathematical models of cancer 
       therapies :|ban application of geometric methods /|cby 
       Heinz Schattler, Urszula Ledzewicz 
264  1 New York, NY :|bSpringer New York :|bImprint: Springer,
300    1 online resource (xix, 496 pages) :|billustrations, 
       digital ;|c24 cm 
336    text|btxt|2rdacontent 
337    computer|bc|2rdamedia 
338    online resource|bcr|2rdacarrier 
347    text file|bPDF|2rda 
490 1  Interdisciplinary applied mathematics,|x0939-6047 
505 0  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 
520    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 
650  0 Cancer|xTreatment|xMathematical models 
650 14 Mathematics 
650 24 Calculus of Variations and Optimal Control; Optimization 
650 24 Geometry 
650 24 Control 
650 24 Cancer Research 
700 1  Ledzewicz, Urszula,|eauthor 
710 2  SpringerLink (Online service) 
773 0  |tSpringer eBooks 
830  0 Interdisciplinary applied mathematics 
856 40 |u