國立虎尾科技大學 |

Optimal Control for Mathematical Models of Cancer Therapies = An Application of Geometric Methods /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Optimal Control for Mathematical Models of Cancer Therapies/ by Heinz Schättler, Urszula Ledzewicz.
Reminder of title:	An Application of Geometric Methods /
Author:	Schättler, Heinz.
other author:	Ledzewicz, Urszula.
Description:	XIX, 496 p. 115 illus., 85 illus. in color.online resource. :
Contained By:	Springer Nature eBook
Subject:	Calculus of variations. -
Online resource:	https://doi.org/10.1007/978-1-4939-2972-6
ISBN:	9781493929726

Optimal Control for Mathematical Models of Cancer Therapies = An Application of Geometric Methods /
Schättler, Heinz.

Optimal Control for Mathematical Models of Cancer TherapiesAn Application of Geometric Methods /[electronic resource] :by Heinz Schättler, Urszula Ledzewicz. - 1st ed. 2015. - XIX, 496 p. 115 illus., 85 illus. in color.online resource. - Interdisciplinary Applied Mathematics,420939-6047 ;. - Interdisciplinary Applied Mathematics,19.

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:

527927
Calculus of variations.

LC Class. No.: QA315-316

Dewey Class. No.: 515.64

Optimal Control for Mathematical Models of Cancer Therapies = An Application of Geometric Methods /
LDR:03138nam a22004335i 4500 001 968976
003 DE-He213
005 20200707011744.0
007 cr nn 008mamaa
008 201211s2015 xxu| s |||| 0|eng d
020 $a 9781493929726 $9 978-1-4939-2972-6
024 7 $a 10.1007/978-1-4939-2972-6 $2 doi
035 $a 978-1-4939-2972-6
050 4 $a QA315-316
050 4 $a QA402.3
072 7 $a PBKQ $2 bicssc
072 7 $a MAT005000 $2 bisacsh
072 7 $a PBKQ $2 thema
072 7 $a PBU $2 thema
082 0 4 $a 515.64 $2 23
100 1 $a Schättler, Heinz. $e author. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 1264568
245 1 0 $a Optimal Control for Mathematical Models of Cancer Therapies $h [electronic resource] : $b An Application of Geometric Methods / $c by Heinz Schättler, Urszula Ledzewicz.
250 $a 1st ed. 2015.
264 1 $a New York, NY : $b Springer New York : $b Imprint: Springer, $c 2015.
300 $a XIX, 496 p. 115 illus., 85 illus. in color. $b online resource.
336 $a text $b txt $2 rdacontent
337 $a computer $b c $2 rdamedia
338 $a online resource $b cr $2 rdacarrier
347 $a text file $b PDF $2 rda
490 1 $a Interdisciplinary Applied Mathematics, $x 0939-6047 ; $v 42
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 Calculus of variations. $3 527927
650 0 $a Geometry. $3 579899
650 0 $a Control engineering. $3 1249728
650 0 $a Cancer research. $3 1253664
650 1 4 $a Calculus of Variations and Optimal Control; Optimization. $3 593942
650 2 4 $a Control and Systems Theory. $3 1211358
650 2 4 $a Cancer Research. $3 668358
700 1 $a Ledzewicz, Urszula. $4 aut $4 http://id.loc.gov/vocabulary/relators/aut $3 884934
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer Nature eBook
776 0 8 $i Printed edition: $z 9781493929719
776 0 8 $i Printed edition: $z 9781493929733
776 0 8 $i Printed edition: $z 9781493942794
830 0 $a Interdisciplinary Applied Mathematics, $x 0939-6047 ; $v 19 $3 1253816
856 4 0 $u https://doi.org/10.1007/978-1-4939-2972-6
912 $a ZDB-2-SMA
912 $a ZDB-2-SXMS
950 $a Mathematics and Statistics (SpringerNature-11649)
950 $a Mathematics and Statistics (R0) (SpringerNature-43713)