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Optimization of Human Cancer Radiotherapy

  • Book
  • © 1981

Overview

Authors:
  1. George W. Swan

    1. Edmonds, USA

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Part of the book series: Lecture Notes in Biomathematics (LNBM, volume 42)

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Table of contents (10 chapters)

  1. Front Matter

    Pages N2-VIII
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  2. General Introduction

    • George W. Swan
    Pages 1-23

  3. Survival Curves from Statistical Models

    • George W. Swan
    Pages 24-34

  4. A Molecular Model of Cell Survival

    • George W. Swan
    Pages 35-42

  5. Kinetic Models of Biological Radiation Response

    • George W. Swan
    Pages 43-66

  6. Cell Survival after Successive Radiation Fractions

    • George W. Swan
    Pages 67-91

  7. Optimization Models in Solid Tumor Radiotherapy

    • George W. Swan
    Pages 92-124

  8. Numerical Solution of Multistage Optimal Control Problems

    • George W. Swan
    Pages 125-160

  9. Some Optimization Criteria in Radiotherapy

    • George W. Swan
    Pages 161-181

  10. The Optimization of External Beam Radiation Therapy

    • George W. Swan
    Pages 182-225

  11. Reconstructive Tomography

    • George W. Swan
    Pages 226-246

  12. Back Matter

    Pages 248-285
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Keywords

About this book

The mathematical models in this book are concerned with a variety of approaches to the manner in which the clinical radiologic treatment of human neoplasms can be improved. These improvements comprise ways of delivering radiation to the malignan­ cies so as to create considerable damage to tumor cells while sparing neighboring normal tissues. There is no unique way of dealing with these improvements. Accord­ ingly, in this book a number of different presentations are given. Each presentation has as its goal some aspect of the improvement, or optimization, of radiotherapy. This book is a collection of current ideas concerned with the optimization of human cancer radiotherapy. It is hoped that readers will build on this collection and develop superior approaches for the understanding of the ways to improve therapy. The author owes a special debt of thanks to Kathy Prindle who breezed through the typing of this book with considerable dexterity. TABLE OF CONTENTS Chapter GENERAL INTRODUCTION 1. 1 Introduction 1 1. 2 History of Cancer and its Treatment by Radiotherapy 8 1. 3 Some Mathematical Models of Tumor Growth 12 1. 4 Spatial Distribution of the Radiation Dose 20 Chapter 2 SURVIVAL CURVES FROM STATISTICAL MODELS 24 2. 1 Introduction 24 2. 2 The Target Model 26 2. 3 Single-hit-to-kill Model 27 2. 4 Multitarget, Single-hit Survival 29 2. 5 Multitarget, Multihit Survival 31 2. 6 Single-target, Multihit Survival 31 2.

Authors and Affiliations

  • Edmonds, USA

    George W. Swan

Bibliographic Information

  • Book Title: Optimization of Human Cancer Radiotherapy

  • Authors: George W. Swan

  • Series Title: Lecture Notes in Biomathematics

  • DOI: https://doi.org/10.1007/978-3-642-46441-6

  • Publisher: Springer Berlin, Heidelberg

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer-Verlag Berlin Heidelberg 1981

  • Softcover ISBN: 978-3-540-10865-8Published: 01 October 1981

  • eBook ISBN: 978-3-642-46441-6Published: 08 March 2013

  • Series ISSN: 0341-633X

  • Series E-ISSN: 2196-9981

  • Edition Number: 1

  • Number of Pages: VIII, 284

  • Topics: Oncology, Mathematical and Computational Biology, Cancer Research

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