Fractals in Biology and Medicine

  • T. F. Nonnenmacher
  • G. A. Losa
  • E. R. Weibel

Part of the Mathematics and Biosciences in Interaction book series (MBI)

Table of contents

  1. Front Matter
    Pages i-x
  2. Preface Summary of the Symposium

  3. Fractal Geometry and Biomedical Sciences

    1. Front Matter
      Pages 7-7
    2. Bruce J. West, W. Zhang, H. J. Mackey
      Pages 38-54
    3. C.-K. Peng, S. V. Buldyrev, J. M. Hausdorff, S. Havlin, J. E. Mietus, M. Simons et al.
      Pages 55-65
  4. Fractals in Biological Design and Morphogenesis

  5. Fractals in Molecular and Cell Biology

    1. Front Matter
      Pages 159-159
    2. Zeno Földes-Papp, Armin Herold, Hartmut Seliger, Albrecht K. Kleinschmidt
      Pages 165-173
    3. Walter G. Glöckle, Theo F. Nonnenmacher
      Pages 174-181
    4. Gerd Baumann, Andreas Barth, Theo F. Nonnenmacher
      Pages 182-189

About this book

Introduction

"Fractals in Biology and Medicine" explores the potential of fractal geometry for describing and understanding biological organisms, their development and growth as well as their structural design and functional properties. It extends these notions to assess changes associated with disease in the hope to contribute to the understanding of pathogenetic processes in medicine. The book is the first comprehensive presentation of the importance of the new concept of fractal geometry for biological and medical sciences. It collates in a logical sequence extended papers based on invited lectures and free communications presented at a symposium in Ascona, Switzerland, attended by leading scientists in this field, among them the originator of fractal geometry, Benoit Mandelbrot. "Fractals in Biology and Medicine" begins by asking how the theoretical construct of fractal geometry can be applied to biomedical sciences and then addresses the role of fractals in the design and morphogenesis of biological organisms as well as in molecular and cell biology. The consideration of fractal structure in understanding metabolic functions and pathological changes is a particularly promising avenue for future research.

Keywords

Radiologieinformationssystem biology cell cell biology cell culture chaos diagnosis fractal fractal geometry mathematics medicine membrane microscopy morphogenesis physiology

Editors and affiliations

  • T. F. Nonnenmacher
    • 1
  • G. A. Losa
    • 2
  • E. R. Weibel
    • 3
  1. 1.Mathematische PhysikUniversität UlmUlmGermany
  2. 2.Laboratorio di Patologia CellulareIstituto Cantonale di PatologiaLocarnoSwitzerland
  3. 3.Anatomisches InstitutUniversität BernBernSwitzerland

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-0348-8501-0
  • Copyright Information Birkäuser Verlag 1994
  • Publisher Name Birkhäuser, Basel
  • eBook Packages Springer Book Archive
  • Print ISBN 978-3-0348-9652-8
  • Online ISBN 978-3-0348-8501-0
  • About this book