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100   $a20150915d2015      u|             0
101 0 $aeng
135   $aur|n|---|||||
181   $ctxt
182   $cc
183   $acr
200 10$aOptimal Control for Mathematical Models of Cancer Therapies$b[electronic resource] $eAn Application of Geometric Methods /$fby Heinz Schättler, Urszula Ledzewicz
205   $a1st ed. 2015.
210  1$aNew York, NY :$cSpringer New York :$cImprint: Springer,$d2015.
215   $a1 online resource (511 p.)
225 1 $aInterdisciplinary Applied Mathematics,$x0939-6047 ;$v42
300   $aDescription based upon print version of record.
311   $a1-4939-2971-2 
320   $aIncludes bibliographical references and index.
327   $aCancer 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.
330   $aThis book presents applications of geometric optimal control to real life biomedical problems with an emphasis on cancer treatments. A number of mathematical models for both classical and novel cancer treatments are presented as optimal control problems with the goal of constructing optimal protocols. The power of geometric methods is illustrated with fully worked out complete global solutions to these mathematically challenging problems. Elaborate constructions of optimal controls and corresponding system responses provide great examples of applications of the tools of geometric optimal control and the outcomes aid the design of simpler, practically realizable suboptimal protocols. The book blends mathematical rigor with practically important topics in an easily readable tutorial style. Graduate students and researchers in science and engineering, particularly biomathematics and more mathematical aspects of biomedical engineering, would find this book particularly useful.
410  0$aInterdisciplinary Applied Mathematics,$x0939-6047 ;$v42
606   $aCalculus of variations
606   $aGeometry
606   $aControl engineering
606   $aCancer research
606   $aCalculus of Variations and Optimal Control; Optimization$3https://scigraph.springernature.com/ontologies/product-market-codes/M26016
606   $aGeometry$3https://scigraph.springernature.com/ontologies/product-market-codes/M21006
606   $aControl and Systems Theory$3https://scigraph.springernature.com/ontologies/product-market-codes/T19010
606   $aCancer Research$3https://scigraph.springernature.com/ontologies/product-market-codes/B11001
615  0$aCalculus of variations.
615  0$aGeometry.
615  0$aControl engineering.
615  0$aCancer research.
615 14$aCalculus of Variations and Optimal Control; Optimization.
615 24$aGeometry.
615 24$aControl and Systems Theory.
615 24$aCancer Research.
676   $a616.99406
700   $aSchättler$b Heinz$4aut$4http://id.loc.gov/vocabulary/relators/aut$0755505
702   $aLedzewicz$b Urszula$4aut$4http://id.loc.gov/vocabulary/relators/aut
801  0$bMiAaPQ
801  1$bMiAaPQ
801  2$bMiAaPQ
906   $aBOOK
912   $a9910300249203321
996   $aOptimal Control for Mathematical Models of Cancer Therapies$92525160
997   $aUNINA