Optimal control for mathematical models of cancer therapies: an application of geometric methods
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| Main Authors: | , |
|---|---|
| Format: | Electronic eBook |
| Language: | English |
| Published: |
New York
Springer
[2015]
|
| Series: | Interdisciplinary applied mathematics
volume 42 |
| Subjects: | |
| Online Access: | BTU01 FRO01 TUM01 UBM01 UBT01 UBW01 UPA01 Volltext Inhaltsverzeichnis Abstract |
| Physical Description: | 1 Online Ressource (XIX, 496 Seiten, 115 illus., 85 illus. in color) |
| ISBN: | 9781493929726 |
| ISSN: | 0939-6047 |
| DOI: | 10.1007/978-1-4939-2972-6 |
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Record in the Search Index
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| adam_text | OPTIMAL CONTROL FOR MATHEMATICAL MODELS OF CANCER THERAPIES
/ SCHAETTLER, HEINZ
: 2015
TABLE OF CONTENTS / INHALTSVERZEICHNIS
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
OPTIMAL CONTROL FOR MATHEMATICAL MODELS OF CANCER THERAPIES
/ SCHAETTLER, HEINZ
: 2015
ABSTRACT / INHALTSTEXT
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
DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
|
| any_adam_object | 1 |
| author | Schättler, Heinz 1956- Ledzewicz, Urszula |
| author_GND | (DE-588)171274342 (DE-588)1025317297 |
| author_facet | Schättler, Heinz 1956- Ledzewicz, Urszula |
| author_role | aut aut |
| author_sort | Schättler, Heinz 1956- |
| author_variant | h s hs u l ul |
| building | Verbundindex |
| bvnumber | BV043209774 |
| classification_tum | MAT 000 |
| collection | ZDB-2-SMA |
| ctrlnum | (OCoLC)923663443 (DE-599)BVBBV043209774 |
| dewey-full | 515.64 |
| dewey-hundreds | 500 - Natural sciences and mathematics |
| dewey-ones | 515 - Analysis |
| dewey-raw | 515.64 |
| dewey-search | 515.64 |
| dewey-sort | 3515.64 |
| dewey-tens | 510 - Mathematics |
| discipline | Mathematik |
| doi_str_mv | 10.1007/978-1-4939-2972-6 |
| format | Electronic eBook |
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| id | DE-604.BV043209774 |
| illustrated | Not Illustrated |
| indexdate | 2024-07-10T07:20:36Z |
| institution | BVB |
| isbn | 9781493929726 |
| issn | 0939-6047 |
| language | English |
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| physical | 1 Online Ressource (XIX, 496 Seiten, 115 illus., 85 illus. in color) |
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| spelling | Schättler, Heinz 1956- Verfasser (DE-588)171274342 aut Optimal control for mathematical models of cancer therapies an application of geometric methods Heinz Schättler, Urszula Ledzewicz New York Springer [2015] © 2015 1 Online Ressource (XIX, 496 Seiten, 115 illus., 85 illus. in color) txt rdacontent c rdamedia cr rdacarrier Interdisciplinary applied mathematics volume 42 0939-6047 Mathematics Cancer research Geometry Calculus of variations Control engineering Calculus of Variations and Optimal Control; Optimization Control Cancer Research Mathematik Ledzewicz, Urszula Verfasser (DE-588)1025317297 aut Erscheint auch als Druckausgabe 978-1-4939-2971-9 https://doi.org/10.1007/978-1-4939-2972-6 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632935&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632935&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract |
| spellingShingle | Schättler, Heinz 1956- Ledzewicz, Urszula Optimal control for mathematical models of cancer therapies an application of geometric methods Mathematics Cancer research Geometry Calculus of variations Control engineering Calculus of Variations and Optimal Control; Optimization Control Cancer Research Mathematik |
| title | Optimal control for mathematical models of cancer therapies an application of geometric methods |
| title_auth | Optimal control for mathematical models of cancer therapies an application of geometric methods |
| title_exact_search | Optimal control for mathematical models of cancer therapies an application of geometric methods |
| title_full | Optimal control for mathematical models of cancer therapies an application of geometric methods Heinz Schättler, Urszula Ledzewicz |
| title_fullStr | Optimal control for mathematical models of cancer therapies an application of geometric methods Heinz Schättler, Urszula Ledzewicz |
| title_full_unstemmed | Optimal control for mathematical models of cancer therapies an application of geometric methods Heinz Schättler, Urszula Ledzewicz |
| title_short | Optimal control for mathematical models of cancer therapies |
| title_sort | optimal control for mathematical models of cancer therapies an application of geometric methods |
| title_sub | an application of geometric methods |
| topic | Mathematics Cancer research Geometry Calculus of variations Control engineering Calculus of Variations and Optimal Control; Optimization Control Cancer Research Mathematik |
| topic_facet | Mathematics Cancer research Geometry Calculus of variations Control engineering Calculus of Variations and Optimal Control; Optimization Control Cancer Research Mathematik |
| url | https://doi.org/10.1007/978-1-4939-2972-6 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632935&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=028632935&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA |
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