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Optimal control for mathematical mod...

Schattler, Heinz.

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Optimal control for mathematical models of cancer therapies = an application of geometric methods /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Optimal control for mathematical models of cancer therapies/ by Heinz Schattler, Urszula Ledzewicz.
Reminder of title:	an application of geometric methods /
Author:	Schattler, Heinz.
other author:	Ledzewicz, Urszula.
Published:	New York, NY :Springer New York : : 2015.,
Description:	xix, 496 p. :ill., digital ;24 cm.
[NT 15003449]:	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.
Contained By:	Springer eBooks
Subject:	Cancer - Treatment -
Online resource:	http://dx.doi.org/10.1007/978-1-4939-2972-6
ISBN:	9781493929726

Optimal control for mathematical models of cancer therapies = an application of geometric methods /
Schattler, Heinz.

Optimal control for mathematical models of cancer therapiesan application of geometric methods /[electronic resource] :by Heinz Schattler, Urszula Ledzewicz. - New York, NY :Springer New York :2015. - xix, 496 p. :ill., digital ;24 cm. - Interdisciplinary applied mathematics,0939-6047. - Interdisciplinary applied mathematics..

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.

ISBN: 9781493929726

Standard No.: 10.1007/978-1-4939-2972-6doiSubjects--Topical Terms:

2057111
Cancer
--Treatment

LC Class. No.: RC270.8

Dewey Class. No.: 616.99406

Optimal control for mathematical models of cancer therapies = an application of geometric methods /
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245 1 0 $a Optimal control for mathematical models of cancer therapies $h [electronic resource] : $b an application of geometric methods / $c by Heinz Schattler, Urszula Ledzewicz.
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490 1 $a Interdisciplinary applied mathematics, $x 0939-6047
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.
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