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Optimal control for mathematical models of cancer therapies [electronic resource] : an application of geometric methods

Optimal control for mathematical models of cancer therapies [electronic resource] : an application of geometric methods

Material type
E-Book(소장)
Personal Author
Schättler, Heinz M., 1956-. Ledzewicz, Urszula.
Title Statement
Optimal control for mathematical models of cancer therapies [electronic resource] : an application of geometric methods / Heinz Schättler, Urszula Ledzewicz.
Publication, Distribution, etc
New York :   Springer New York :   Imprint: Springer,   2015.  
Physical Medium
1 online resource (xix, 496 p.) : ill. (some col.).
Series Statement
Interdisciplinary applied mathematics,0939-6047 ; 42
ISBN
9781493929726
요약
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.
General Note
Title from e-Book title page.  
Content Notes
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.
Bibliography, Etc. Note
Includes bibliographical references and index.
이용가능한 다른형태자료
Issued also as a book.  
Subject Added Entry-Topical Term
Cancer --Treatment --Mathematical models. Neoplasms --drug therapy. Antineoplastic Agents --administration & dosage. Dose-Response Relationship, Drug. Models, Theoretical. Tumor Microenvironment. Mathematical Concepts.
Short cut
URL
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001 000046033264
005 20200623143625
006 m d
007 cr
008 200618s2015 nyua ob 001 0 eng d
020 ▼a 9781493929726
040 ▼a 211009 ▼c 211009 ▼d 211009
050 0 0 ▼a RC270.8
082 0 0 ▼a 616.99/4061 ▼2 23
084 ▼a 616.994061 ▼2 DDCK
090 ▼a 616.994061
100 1 ▼a Schättler, Heinz M., ▼d 1956-.
245 1 0 ▼a Optimal control for mathematical models of cancer therapies ▼h [electronic resource] : ▼b an application of geometric methods / ▼c Heinz Schättler, Urszula Ledzewicz.
260 ▼a New York : ▼b Springer New York : ▼b Imprint: Springer, ▼c 2015.
300 ▼a 1 online resource (xix, 496 p.) : ▼b ill. (some col.).
490 1 ▼a Interdisciplinary applied mathematics, ▼x 0939-6047 ; ▼v 42
500 ▼a Title from e-Book title page.
504 ▼a Includes bibliographical references and index.
505 0 ▼a 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 ▼a 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.
530 ▼a Issued also as a book.
538 ▼a Mode of access: World Wide Web.
650 0 ▼a Cancer ▼x Treatment ▼x Mathematical models.
650 1 2 ▼a Neoplasms ▼x drug therapy.
650 2 2 ▼a Antineoplastic Agents ▼x administration & dosage.
650 2 2 ▼a Dose-Response Relationship, Drug.
650 2 2 ▼a Models, Theoretical.
650 2 2 ▼a Tumor Microenvironment.
650 2 2 ▼a Mathematical Concepts.
700 1 ▼a Ledzewicz, Urszula.
830 0 ▼a Interdisciplinary applied mathematics; ▼v 42.
856 4 0 ▼u https://oca.korea.ac.kr/link.n2s?url=http://dx.doi.org/10.1007/978-1-4939-2972-6
945 ▼a KLPA
991 ▼a E-Book(소장)

Holdings Information

No. Location Call Number Accession No. Availability Due Date Make a Reservation Service
No. 1 Location Main Library/e-Book Collection/ Call Number CR 616.994061 Accession No. E14025177 Availability Loan can not(reference room) Due Date Make a Reservation Service M

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