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A Survey of Models for Tumor-Immune System Dynamics

  • Book
  • © 1997

Overview

Editors:
  1. John A. Adam

    1. Department of Mathematics, Old Dominion University, Norfolk, USA

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    You can also search for this editor in PubMed   Google Scholar

  2. Nicola Bellomo

    1. Dipartimento di Matematica, Politecnico di Torino, Torino, Italy

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    You can also search for this editor in PubMed   Google Scholar

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Table of contents (8 chapters)

  1. Front Matter

    Pages i-xvi
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  2. A Brief History of Immunologic Thinking: Is it Time for Yin and Yang?

    • B. D. Curti, D. L. Longo
    Pages 1-13

  3. General Aspects of Modeling Tumor Growth and Immune Response

    • John A. Adam
    Pages 15-87

  4. Mathematical Modeling of Tumor Growth Kinetics

    • Ĺ˝. Bajzer, S. Vuk-Pavlović, M. Huzak
    Pages 89-133

  5. Tumor Immune System Interactions: The Kinetic Cellular Theory

    • N. Bellomo, L. Preziosi, G. Forni
    Pages 135-186

  6. From Mutation to Metastasis: The Mathematical Modelling of the Stages of Tumour Development

    • M. A. J. Chaplain
    Pages 187-236

  7. Basic Models of Tumor-Immune System Interactions Identification, Analysis and Predictions

    • V. A. Kuznetsov
    Pages 237-294

  8. Tumor Heterogeneity and Growth Control

    • S. Michelson, J. T. Leith
    Pages 295-333

  9. Biological Glossary

    • F. Cavallo, K. Boggio
    Pages 335-344
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Keywords

About this book

Mathematical Modeling and Immunology An enormous amount of human effort and economic resources has been directed in this century to the fight against cancer. The purpose, of course, has been to find strategies to overcome this hard, challenging and seemingly endless struggle. We can readily imagine that even greater efforts will be required in the next century. The hope is that ultimately humanity will be successful; success will have been achieved when it is possible to activate and control the immune system in its competition against neoplastic cells. Dealing with the above-mentioned problem requires the fullest pos­ sible cooperation among scientists working in different fields: biology, im­ munology, medicine, physics and, we believe, mathematics. Certainly, bi­ ologists and immunologists will make the greatest contribution to the re­ search. However, it is now increasingly recognized that mathematics and computer science may well able to make major contributions to such prob­ lems. We cannot expect mathematicians alone to solve fundamental prob­ lems in immunology and (in particular) cancer research, but valuable sup­ port, however modest, can be provided by mathematicians to the research aspirations of biologists and immunologists working in this field.

Reviews

"This book is [a] very helpful tool for mathematicians constructing models in biology and hopefully it can also help biologists to understand some philosophy of mathematical descriptions of biological phenomena with all its pluses and minuses."

—Mathematica Bohemica

Editors and Affiliations

  • Department of Mathematics, Old Dominion University, Norfolk, USA

    John A. Adam

  • Dipartimento di Matematica, Politecnico di Torino, Torino, Italy

    Nicola Bellomo

Bibliographic Information

  • Book Title: A Survey of Models for Tumor-Immune System Dynamics

  • Editors: John A. Adam, Nicola Bellomo

  • Series Title: Modeling and Simulation in Science, Engineering and Technology

  • DOI: https://doi.org/10.1007/978-0-8176-8119-7

  • Publisher: Birkhäuser Boston, MA

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 1997

  • Hardcover ISBN: 978-0-8176-3901-3Published: 01 December 1996

  • Softcover ISBN: 978-1-4612-6408-8Published: 27 September 2012

  • eBook ISBN: 978-0-8176-8119-7Published: 06 October 2012

  • Series ISSN: 2164-3679

  • Series E-ISSN: 2164-3725

  • Edition Number: 1

  • Number of Pages: XVI, 344

  • Topics: Mathematics, general

  • Industry Sectors: Engineering, IT & Software

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