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Chaos in Biological Systems

  • Book
  • © 1987

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Editors:
  1. H. Degn

    1. Odense University, Odense, Denmark

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  2. A. V. Holden

    1. The University of Leeds, Leeds, UK

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  3. L. F. Olsen

    1. Odense University, Odense, Denmark

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Part of the book series: NATO Science Series A: (NSSA, volume 138)

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Table of contents (34 chapters)

  1. Multiple Oscillatory States and Chaos in the Endogenous Activity of Excitable Cells: Pancreatic β-Cell as an Example

    • Teresa Ree Chay, Hong Seok Kang
    Pages 173-181

  2. Bifurcations in the Rose-Hindmarch Model and the Chay Model

    • Christian Kaas-Petersen
    Pages 183-190

  3. Dendritic Branching Patterns

    • A. K. Schierwagen
    Pages 191-193

  4. Chaos and Neural Networks

    • E. Labos
    Pages 195-206

  5. Data Requirements for Reliable Estimation of Correlation Dimensions

    • A. M. Albano, A. I. Mees, G. C. de Guzman, P. E. Rapp
    Pages 207-220

  6. Chaotic Dynamics in Biological Information Processing: A Heuristic Outline

    • John S. Nicolis
    Pages 221-232

  7. Chaos in Ecology and Epidemiology

    • W. M. Schaffer
    Pages 233-248

  8. Low Dimensional Strange Attractors in Epidemics of Childhood Diseases in Copenhagen, Denmark

    • Lars Folke Olsen
    Pages 249-254

  9. Periodicity and Chaos in Biological Systems: New Tools for the Study of Attractors

    • J. Demongeot, C. Jacob, P. Cinquin
    Pages 255-265

  10. Populations under Periodically and Randomly Varying Growth Conditions

    • M. Markus, B. Hess, J. Rössler, M. Kiwi
    Pages 267-277

  11. Bi-Fractal Basin Boundaries in Invertible Systems

    • O. E. Rössler, C. Kahlert, J. L. Hudson
    Pages 279-283

  12. Homoclinic Bifurcations in Ordinary Differential Equations

    • Paul Glendinning
    Pages 285-293

  13. Characterization of Order and Disorder in Spatial Patterns

    • M. Markus, S. C. Müller, Th Plesser, B. Hess
    Pages 295-303

  14. Fractals, Intermittency and Morphogenesis

    • Bruce J. West
    Pages 305-314

  15. Temperature Stability of Davydov Solitons

    • L. Cruzeiro, P. L. Christiansen, J. Halding, O. Skovgaard, A. C. Scott
    Pages 315-319

  16. Back Matter

    Pages 321-323
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Keywords

About this book

In recent years experimental and numerical studies have shown that chaos is a widespread phenomenon throughout the biological hierarchy ranging from simple enzyme reactions to ecosystems. Although a coherent picture of the fundamental mechanisms responsible for chaotic dynamics has started to appear it is not yet clear what the implications of such dynamics are for biological systems in general. In some systems it appears that chaotic dynamics are associated with a pathological condi­ tion. In other systems the pathological condition has regular periodic dynamics whilst the normal non-pathological condition has chaotic dyna­ mics. Since chaotic behaviour is so ubiquitous in nature and since the phenomenon raises some fundamental questions about its implications for biology it seemed timely to organize an interdisciplinary meeting at which leading scientists could meet to exchange ideas, to evaluate the current state of the field and to stipulate the guidelines along which future research should be directed. The present volume contains the contributions to the NATO Advanced Research Workshop on "Chaos in Biological Systems" held at Dyffryn House, St. Nicholas, Cardiff, U. K. , December 8-12, 1986. At this meeting 38 researchers with highly different backgrounds met to present their latest results through lectures and posters and to discuss the applica­ tions of non-linear techniques to problems of common interest. . In spite of their involvement in the study of chaotic dynamics for several years many of the participants met here for the first time.

Editors and Affiliations

  • Odense University, Odense, Denmark

    H. Degn, L. F. Olsen

  • The University of Leeds, Leeds, UK

    A. V. Holden

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