Fractals in Biology and Medicine

1. Front Matter

   Pages i-ix

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2. Pattern Complexity in Organogenesis and Carcinogenesis

   • Gabriel Landini

   Pages 3-13

3. Fractal Structure of Space and Time is Necessary for the Emergence of Self-Organization, Connectivity, and Collectivity in Cellular System

   • Przemyslaw Waliszewski, Jerzy Konarski

   Pages 15-24

4. Diffusion Screening, Acinus Size and Optimal Design of Mammalian Lungs

   • B. Sapoval, E. R. Weibel, M. Filoche

   Pages 25-38

5. Three-Dimensional Model of the Human Airway Tree Based on a Fractal Branching Algorithm

   • H. Kitaoka

   Pages 39-46

6. Fractal Dimension, Form and Shape Factors for the Quantification of Nuclear Signature Profiles

   • Barbara Weyn, Willem Jacob, Gert Van de Wouwer, Vinicius Da Silva, Rodolfo Montironi, Deborah Thompson et al.

   Pages 47-54

7. Fractal Signature Vectors and Lacunarity Class Distance Matrices to Extract New Adaptive Texture Features from Cell Nuclei

   • B. Nielsen, F. Albregtsen, H. E. Danielsen

   Pages 55-65

8. Morphofractal Reorganization of Plasma Membrane and Nuclear Components during the Apoptosis of Breast Cancer Cells

   • C. Castelli, T. F. Nonnenmacher, G. A. Losa

   Pages 67-76

9. Fractal Analysis of Chromatin during Apoptosis

   • R. Santoro, F. Marinelli, G. Turchetti, N. Zini, K. Scotlandi, E. Falcieri et al.

   Pages 77-84

10. Asymptotic Fractals, Geostatistics and Hurst Parameter; Heterogeneity and Histological Grades in Breast Cancer

    • J. P. Rigaut, V. Sharifi-Salamatian

    Pages 87-93

11. The Fractal Dimension of the Inner Surface of Neoplastic Mammary Ducts in Mammary Fibroadenomas and Mammary Carcinomas of Dog and Cat: Preliminary Data

    • G. De Vico, A. Sfacteria, G. Piedimonte

    Pages 95-100

12. Classification of Prostatic Cancer Using Artificial Neural Networks

    • Torsten Mattfeldt, Maximilian Burger, Hans-Werner Gottfried, Hans A. Kestler

    Pages 101-111

13. Fractal Dimension Exponent for Quantitative Evaluation of Liver Extracellular Matrix in Biopsy Specimens

    • N Dioguardi, F. Grizzi

    Pages 113-120

14. Two-Dimensional Fractal Geometric Analysis of Bone Marrow Tissue in Hyperplasia, Refractory Anemia and Acute Leukemia

    • G. Bianciardi, L. Leoncini, S. Lazzi, A. V. Lalinga, P. Luzi

    Pages 121-125

15. Color-Based Method for Fractal Dimension Estimation of Pigmented Skin Lesion Contour

    • Anna Piantanelli, Stefano Serresi, Giuseppe Ricotti, Rossolini Giuliana, Zaia Annamaria, Andrea Basso et al.

    Pages 127-136

16. The EEG Signal In Hepatic Encephalopathy: from a Time-Domain Statistical Analysis towards Fractional Brownian Processes

    • D. Pascoli, S. Montagnese, T. Minelli, A. Pesavento, A. Pellegrini, A. Gatta et al.

    Pages 137-146

17. A Fractal Approach of Pathological Voices

    • V. Péan, M. Ouayoun, C. Fugain, B. Meyer, C. H. Chouard

    Pages 147-151

18. A Vowel Fractal Dimension Study

    • M. Ouayoun, V. Péan, B. Meyer, C. H. Chouard

    Pages 153-159

19. Bone Architecture Measured by Fractal Dimension and Connectivity Indices is More Precociously Altered than Mineral Content in the Orchidectomized Rat

    • H. Libouban, M. F. Moreau, E. Legrand, M. Audran, M. F. Basle, D. Chappard

    Pages 161-170

20. Texture Analyses of X-Ray Micrographs (Fractal Geometry and Run Length) are Better Predictors of Bone Loss than Mineral Content in a Rat Model of Localized Disuse Osteopenia

    • D. Chappard, A. Chennebault, H. Libouban, M. F. Moreau, E. Legrand, M. Audran et al.

    Pages 171-180

In March 2000 leading scientists gathered at the Centro Seminariale Monte Verità, Ascona, Switzerland, for the Third International Symposium on "Fractals 2000 in Biology and Medicine". This interdisciplinary conference was held over a four-day period and provided stimulating contributions from the very topical field Fractals in Biology and Medicine. This Volume III in the MBI series highlights the growing power and efficacy of the fractal geometry in understanding how to analyze living phenomena and complex shapes. Many biological objects, previously considered as hopelessly far from any quantitative description, are now being investigated by means of fractal methods. Researchers currently used fractals both as theoretical tools, to shed light on living systems` self-organization and evolution, and as useful techniques, capable of quantitatively analyzing physiological and pathological cell states, shapes and ultrastructures. The book should be of interest to researchers and students from Molecular and C

• Biomathematik
• Biomedizin
• Biophysik
• DNA
• Onkologie
• X-ray
• Zell-,Molekularbiologie
• artificial neural network
• bone
• classification
• living systems
• statistics
• tissue

• Institute for Scientific Interdisciplinary Studies (ISSE), Locarno, Switzerland

  Gabriele A. Losa

• Section of Biology, Faculty of Sciences, University of Lausanne, Lausanne, Switzerland

  Gabriele A. Losa

• Laboratorio die Patologia Cellulare, 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

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