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Mathematical Modeling

Dynamics of Complex Interconnected Biological Systems

Authors: Jennings, Leslie, Mees, Vincent

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About this book

This volume contains the proceedings of the U.S. Australia workshop on Complex Interconnected Biological Systems held in Albany, Western Australia January 1-5, 1989. The workshop was jointly sponsored by the Department of Industry, Trade and Commerce (Australia), and the Na­ tional Science Foundation (USA) under the US-Australia agreement. Biological systems are typically hard to study mathematically. This is particularly so in the case of systems with strong interconnections, such as ecosystems or networks of neurons. In the past few years there have been substantial improvements in the mathematical tools available for study­ ing complexity. Theoretical advances include substantially improved un­ derstanding of the features of nonlinear systems that lead to important behaviour patterns such as chaos. Practical advances include improved modelling techniques, and deeper understanding of complexity indicators such as fractal dimension. Game theory is now playing an increasingly important role in under­ standing and describing evolutionary processes in interconnected systems. The strategies of individuals which affect each other's fitness may be incor­ porated into models as parameters. Strategies which have the property of evolutionary stabilty result from particular parameter values which may be the main feature of living determined using game theoretic methods. Since systems is that they evolve, it seems appropriate that any model used to describe such systems should have this feature as well. Evolutionary game theory should lead the way in the development of such methods.

Table of contents (16 chapters)

Table of contents (16 chapters)
  • Modelling Biological Systems

    Pages 2-16

    Deakin, Michael A. B.

  • A Length-Structured Model of the Western Rock Lobster Fishery of Western Australia

    Pages 17-39

    Hall, N. G. (et al.)

  • Legumes at Loggerheads: Modelling Competition Between Two Strains of Sub-Clover

    Pages 40-64

    Pakes, Anthony G.

  • Two Dimensional Pattern Formation In a Chemotactic System

    Pages 65-83

    Myerscough, M. R. (et al.)

  • Mathematical Modelling of the Control of Blood Glucose Levels in Diabetics by Insulin Infusion

    Pages 84-102

    Fisher, Michael E.

Buy this book

eBook $74.99
price for USA in USD (gross)
  • ISBN 978-1-4684-6784-0
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $99.00
price for USA in USD
  • ISBN 978-1-4684-6786-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Dynamics of Complex Interconnected Biological Systems
Authors
Series Title
Mathematical Modeling
Series Volume
6
Copyright
1990
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Boston
eBook ISBN
978-1-4684-6784-0
DOI
10.1007/978-1-4684-6784-0
Softcover ISBN
978-1-4684-6786-4
Edition Number
1
Number of Pages
XII, 334
Topics