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Fractals in Biology and Medicine

  • Book
  • © 1998

Overview

Editors:
  1. Gabriele A. Losa

    1. Laboratorio di Patologia Cellulare, Istituto Cantonale di Patologia, Locarno, Switzerland

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  2. Danilo Merlini

    1. Centro Ricerche in Fisica e Matematica, Locarno, Switzerland

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  3. Theo F. Nonnenmacher

    1. Abteilung für Mathematische Physik, Universität Ulm, Ulm, Germany

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  4. Ewald R. Weibel

    1. Anatomisches Institut, Universität Bern, Bern, Switzerland

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

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Table of contents (28 chapters)

  1. Front Matter

    Pages i-viii
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  2. Fractal Design of Biological Structures and Functions

    1. Front Matter

      Pages 1-1
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    2. Some Remarks on Fractals and Dynamical Systems (Classical/Stochastic) in Biology

      • Sergio Albeverio
      Pages 2-16

    3. Dynamical Generators of Lévy Statistics in Biology

      • B. J. West, P. Allegrini, P. Grigolini
      Pages 17-29

    4. Biological Cellular Morphometry-Fractal Dimensions, Lacunarity and Multifractals

      • T. G. Smith Jr., G. D. Lange
      Pages 30-49

    5. Spatial Pattern Analysis using Chaos Theory: A Nonlinear Deterministic Approach to the Histological Texture of Tumours

      • T. Mattfeldt
      Pages 50-72

    6. Asymptotic Fractals

      • J. P. Rigaut, D. Schoëvaërt-Brossault, A. M. Downs, G. Landini
      Pages 73-85

    7. Special Approaches of Image Analysis to the Measurement of Fractal Dimension

      • S. Eins
      Pages 86-96

    8. Fractal Analysis of Landscapes in Medicine

      • G. Baumann, J. Dollinger, G. A. Losa, T. F. Nonnenmacher
      Pages 97-113

    9. Fractal Regional Myocardial Blood Flows: The Anatomical Basis

      • J. B. Bassingthwaighte, D. A. Beard, R. B. King
      Pages 114-127

    10. Arterial Vasomotion: Effect of Mechanical Forces and Evidence of Nonlinear Dynamics

      • C.-A. Porret, N. Stergiopulos, S. de Brouwer, H. Achakri, J.-J. Meister
      Pages 128-138

    11. Dynamical Analysis of Heartbeat Interval Time Series After Cardiac Transplantation

      • Michael Meyer, C. Marconi, G. Ferretti, R. Fiocchi, F. Mamprin, J. E. Skinner et al.
      Pages 139-151

    12. Low-Dimensional Chaos in Large Conductance Ca-Activated K-Channel Gating Kinetics

      • Michael Meyer, J. E. Skinner
      Pages 152-164

    13. p-Adic Model for Population Growth

      • A. Khrennikov
      Pages 165-168

    14. Evolution of Life in a Fractal Universe

      • G. Damiani
      Pages 169-187

  3. Chromatin Structure, DNA Organisation and Nuclear Membranes

    1. Front Matter

      Pages 189-189
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    2. Fractal Characterization of Nuclear Texture in Breast Cytology: Frequency and Spatial Domain Approaches

      • A. J. Einstein, H.-S. Wu, J. Gil
      Pages 190-206

    3. Fractal Dimension of Perinuclear Membrane and of Nuclear Membrane-bound Heterochromatin in Human Breast Cancer Cells Targeted by Steroid Hormones

      • G. A. Losa, R. Graber, G. Baumann, T. F. Nonnenmacher
      Pages 207-219

    4. Fractal Analysis of Heterochromatin Nuclear Domains in Lymphocytes

      • F. Marinelli, R. Santoro, N. M. Maraldi
      Pages 220-225

    5. Fractal Approach to the Study of Chromatin Texture

      • F. Sepulcre, J. Grau, M. García-Bonafé, A. Moragas
      Pages 226-230
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Keywords

About this book

"Fractals in Biology and Medicine, Volume 2" explores the potential of the fractal geometry in understanding how to analyse natural shapes. The volume devotes special emphasis to the complex field of human tumours.

Editors and Affiliations

  • Laboratorio di Patologia Cellulare, Istituto Cantonale di Patologia, Locarno, Switzerland

    Gabriele A. Losa

  • Centro Ricerche in Fisica e Matematica, Locarno, Switzerland

    Danilo Merlini

  • Abteilung für Mathematische Physik, Universität Ulm, Ulm, Germany

    Theo F. Nonnenmacher

  • Anatomisches Institut, Universität Bern, Bern, Switzerland

    Ewald R. Weibel

Bibliographic Information

  • Book Title: Fractals in Biology and Medicine

  • Editors: Gabriele A. Losa, Danilo Merlini, Theo F. Nonnenmacher, Ewald R. Weibel

  • Series Title: Mathematics and Biosciences in Interaction

  • DOI: https://doi.org/10.1007/978-3-0348-8936-0

  • Publisher: Birkhäuser Basel

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Basel AG 1998

  • Hardcover ISBN: 978-3-7643-5715-3Published: 15 April 1998

  • Softcover ISBN: 978-3-0348-9834-8Published: 14 December 2012

  • eBook ISBN: 978-3-0348-8936-0Published: 11 March 2013

  • Edition Number: 1

  • Number of Pages: IX, 374

  • Topics: Life Sciences, general, Biomedicine general

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