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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

  6. Fractal Structure and Metabolic Functions

    1. Front Matter
      Pages 231-231
    2. Manfred Sernetz
      Pages 232-240
    3. Ricardo Gutfraind, Bernard Sapoval
      Pages 251-265
    4. Martin Lüneburg
      Pages 266-273
    5. Shu Matsuura, Sasuke Miyazima
      Pages 274-282
    6. Peter Achermann, Rolf Hartmann, Anton Gunzinger, Walter Guggenbühl, Alexander A. Borbély
      Pages 283-290
  7. Fractals in Pathology

    1. Front Matter
      Pages 291-291
    2. C. L. Benhamou, R. Harba, E. Lespessailles, G. Jacquet, D. Tourliere, R. Jennane
      Pages 292-299
    3. Curtis B. Caldwell, John Rosson, James Surowiak, Trevor Hearn
      Pages 300-306
    4. Carl J. G. Evertsz, C. Zahlten, H.-O. Peitgen, I. Zuna, G. van Kaick
      Pages 307-314
  8. Modelling

    1. Front Matter
      Pages 323-323
    2. Philippe Blanchard
      Pages 324-330
    3. Vittorio Pesce Delfino, Teresa Lettini, Michele Troia, Eligio Vacca
      Pages 331-350
    4. Torsten Mattfeldt, Theo F. Nonnenmacher, Armin Lambacher, Walter G. Glöckle, Otto Haferkamp
      Pages 351-362
    5. Walter G. Glöckle, Torsten Mattfeldt, Theo F. Nonnenmacher
      Pages 363-371
  9. Back Matter
    Pages 373-396

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

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