Lecture Notes on Mathematical Modelling in the Life Sciences

Mathematical Methods and Models in Biomedicine

Editors: Ledzewicz, U., Schättler, H., Friedman, A., Kashdan, E. (Eds.)

  • The book illustrates the depth and breadth of research opportunities that exist in the field of mathematical biomedicine
  • The chapters can be read independently and show how mathematical modeling can enhance biomedical understanding and provide tools for biomedical research
  • The book illustrates the fascinating interactions that continue to develop between the mathematical and biomedical sciences
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  • ISBN 978-1-4614-4177-9
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About this book

Mathematical biomedicine is a rapidly developing interdisciplinary field of research that connects the natural and exact sciences in an attempt to respond to the modeling and simulation challenges raised by biology and medicine. There exist a large number of mathematical methods and procedures that can be brought in to meet these challenges and this book presents a palette of such tools ranging from discrete cellular automata to cell population based models described by ordinary differential equations to nonlinear partial differential equations representing complex time- and space-dependent continuous processes. Both stochastic and deterministic methods are employed to analyze biological phenomena in various temporal and spatial settings. This book illustrates the breadth and depth of research opportunities that exist in the general field of mathematical biomedicine by highlighting some of the fascinating interactions that continue to develop between the mathematical and biomedical sciences. It consists of five parts that can be read independently, but are arranged to give the reader a broader picture of specific research topics and the mathematical tools that are being applied in its modeling and analysis. The main areas covered include immune system modeling, blood vessel dynamics, cancer modeling and treatment, and epidemiology. The chapters address topics that are at the forefront of current biomedical research such as cancer stem cells, immunodominance and viral epitopes, aggressive forms of brain cancer, or gene therapy. The presentations highlight how mathematical modeling can enhance biomedical understanding and will be of interest to both the mathematical and the biomedical communities including researchers already working in the field as well as those who might consider entering it. Much of the material is presented in a way that gives graduate students and young researchers a starting point for their own work.

Table of contents (15 chapters)

  • Spatial Aspects of HIV Infection

    Graw, Frederik (et al.)

    Pages 3-31

  • Basic Principles in Modeling Adaptive Regulation and Immunodominance

    Kim, Peter S. (et al.)

    Pages 33-57

  • Evolutionary Principles in Viral Epitopes

    Maman, Yaakov (et al.)

    Pages 59-83

  • A Multiscale Approach Leading to Hybrid Mathematical Models for Angiogenesis: The Role of Randomness

    Capasso, Vincenzo (et al.)

    Pages 87-115

  • Modeling Tumor Blood Vessel Dynamics

    Munn, Lance L. (et al.)

    Pages 117-147

Buy this book

eBook $89.00
price for USA (gross)
  • ISBN 978-1-4614-4178-6
  • Digitally watermarked, DRM-free
  • Included format: EPUB, PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $119.00
price for USA
  • ISBN 978-1-4614-4177-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Rent the eBook  
  • Rental duration: 1 or 6 month
  • low-cost access
  • online reader with highlighting and note-making option
  • can be used across all devices
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Bibliographic Information

Bibliographic Information
Book Title
Mathematical Methods and Models in Biomedicine
Editors
  • Urszula Ledzewicz
  • Heinz Schättler
  • Avner Friedman
  • Eugene Kashdan
Series Title
Lecture Notes on Mathematical Modelling in the Life Sciences
Copyright
2013
Publisher
Springer-Verlag New York
Copyright Holder
Springer Science+Business Media New York
eBook ISBN
978-1-4614-4178-6
DOI
10.1007/978-1-4614-4178-6
Softcover ISBN
978-1-4614-4177-9
Series ISSN
2193-4789
Edition Number
1
Number of Pages
XI, 427
Number of Illustrations and Tables
94 b/w illustrations
Topics