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Optimal Control for Mathematical Models of Cancer Therapies

An Application of Geometric Methods

  • Heinz Schättler
  • Urszula Ledzewicz

Part of the Interdisciplinary Applied Mathematics book series (IAM, volume 42)

Table of contents

  1. Front Matter
    Pages i-xix
  2. Heinz Schättler, Urszula Ledzewicz
    Pages 1-40
  3. Heinz Schättler, Urszula Ledzewicz
    Pages 41-114
  4. Heinz Schättler, Urszula Ledzewicz
    Pages 171-235
  5. Heinz Schättler, Urszula Ledzewicz
    Pages 237-274
  6. Heinz Schättler, Urszula Ledzewicz
    Pages 275-316
  7. Heinz Schättler, Urszula Ledzewicz
    Pages 317-380
  8. Heinz Schättler, Urszula Ledzewicz
    Pages 381-383
  9. Back Matter
    Pages 385-496

About this book

Introduction

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.

Keywords

Optimal control anti-angiogenic treatment geometric optimal control mathematical models mathematical models forcancer therapies optimal protocols

Authors and affiliations

  • Heinz Schättler
    • 1
  • Urszula Ledzewicz
    • 2
  1. 1.Electrical and Systems EngineeringWashington UniversitySt. LouisUSA
  2. 2.Mathematics and StatisticsSouthern Illinois University EdwardsvillEdwardsvilleUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4939-2972-6
  • Copyright Information Springer Science+Business Media, LLC 2015
  • Publisher Name Springer, New York, NY
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-1-4939-2971-9
  • Online ISBN 978-1-4939-2972-6
  • Series Print ISSN 0939-6047
  • Series Online ISSN 2196-9973
  • Buy this book on publisher's site
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