國立高雄大學圖資館 |

Language: English

Back

Optimal control for mathematical mod...

Ledzewicz, Urszula.

Optimal control for mathematical models of cancer therapiesan application of geometric methods /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Optimal control for mathematical models of cancer therapiesby 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.
Contained By:	Springer eBooks
Subject:	CancerTreatment
Online resource:	http://dx.doi.org/10.1007/978-1-4939-2972-6
ISBN:	9781493929726$q(electronic bk.)

Optimal control for mathematical models of cancer therapiesan 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$q(electronic bk.)

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

677359
Cancer
--Treatment

LC Class. No.: RC270.8

Dewey Class. No.: 616.99406

Optimal control for mathematical models of cancer therapiesan application of geometric methods /
LDR:02732nmm a2200349 a 4500 001 476891
003 DE-He213
005 20160412105848.0
006 m d
007 cr nn 008maaau
008 160526s2015 nyu s 0 eng d
020 $a 9781493929726$q(electronic bk.)
020 $a 9781493929719$q(paper)
024 7 $a 10.1007/978-1-4939-2972-6 $2 doi
035 $a 978-1-4939-2972-6
040 $a GP $c GP
041 0 $a eng
050 4 $a RC270.8
072 7 $a PBKQ $2 bicssc
072 7 $a PBU $2 bicssc
072 7 $a MAT005000 $2 bisacsh
072 7 $a MAT029020 $2 bisacsh
082 0 4 $a 616.99406 $2 23
090 $a RC270.8 $b .S312 2015
100 1 $a Schattler, Heinz. $3 567475
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.
260 $a New York, NY : $b Springer New York : $b Imprint: Springer, $c 2015.
300 $a xix, 496 p. : $b ill., digital ; $c 24 cm.
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.
650 0 $a Cancer $x Treatment $x Mathematical models. $3 677359
650 1 4 $a Mathematics. $3 184409
650 2 4 $a Calculus of Variations and Optimal Control; Optimization. $3 274198
650 2 4 $a Geometry. $3 183883
650 2 4 $a Control. $3 349080
650 2 4 $a Cancer Research. $3 273660
700 1 $a Ledzewicz, Urszula. $3 567476
710 2 $a SpringerLink (Online service) $3 273601
773 0 $t Springer eBooks
830 0 $a Interdisciplinary applied mathematics. $3 731672
856 4 0 $u http://dx.doi.org/10.1007/978-1-4939-2972-6
950 $a Mathematics and Statistics (Springer-11649)