This volume is number four in a series of proceedings volumes from the International Symposia on Fractals in Biology and Medicine in Ascona, Switzerland. It highlights the potential that fractal geometry offers for elucidating and explaining the complex make-up of cells, tissues and biological organisms either in normal, abnormal and tumoral conditions. It discusses present and future applications of fractal geometry, bringing together cellular and molecular biology, engineering, mathematics, physics, medicine and other disciplines and allowing an interdisciplinary vision. The book should be of interest to researchers and students from molecular and cell biology, biomedicine, biomathematics, analytical morphology, immunology and neurology who are interested in the combination of mathematics and life sciences.

Foreword

ix

Fractal Structures in Biological Systems

1

(82)

Mandelbrot's Fractals and the Geometry of Life: A Tribute to Benoit Mandelbrot on his 80th Birthday

3

(14)

E.R. Weibel

Gas Diffusion through the Fractal Landscape of the Lung: How Deep Does Oxygen Enter the Alveolar System?

17

(14)

C. Hou

S. Gheorghiu

M.-O. Coppens

V.H. Huxley

P. Pfeifer

Is the Lung an Optimal Gas Exchanger?

31

(12)

S. Gheorghiu

S. Kjelstrup

P. Pfeifer

M.-O. Coppens

3D Hydrodynamics in the Upper Human Bronchial Tree: Interplay between Geometry and Flow Distribution

43

(12)

B. Mauroy

Fractal Aspects of Three-Dimensional Vascular Constructive Optimization

55

(12)

H.K. Hahn

M. Georg

H.-O. Peitgen

Cognition Network Technology: Object Orientation and Fractal Topology in Biomedical Image Analysis. Method and Applications

67

(8)

M. Baatz

A. Schape

G. Schmidt

M. Athelogou

G. Binnig

The Use of Fractal Analysis for the Quantification of Oocyte Cytoplasm Morphology

75

(8)

G.A. Losa

V. Peretti

F. Ciotola

N. Cocchia

G. De Vico

Fractal Structures in Neurosciences

83

(70)

Fractal Analysis: Pitfalls and Revelations in Neuroscience

85

(10)

H.F. Jelinek

N. Elston

B. Zietsch

Ongoing Hippocampal Neuronal Activity in Human: Is it Noise or Correlated Fractal Process?

95

(12)

J. Bhattacharya

J. Edwards

A. Mamelak

E.M. Schuamn

Do Mental and Social Processes have a Self-Similar Structure? The Hypothesis of Fractal Affect-Logic

107

(14)

L. Ciompi

M. Baatz

Scaling Properties of Cerebral Hemodynamics

121

(10)

M. Latka

M. Turalska

D. Kolodziej

D. Latka

B. Goldstein

B.J. West

A Multifractal Dynamical Model of Human Gait

131

(10)

B.J. West

N. Scafetta

Dual Antagonistic Autonomic Control Necessary for 1/f Scaling in Heart Rate

141

(12)

Z.R. Struzi

J. Hayano

S. Sakata

S. Kwak

Y. Yamamoto

Fractal Structures in Tumours and Diseases

153

(78)

Tissue Architecture and Cell Morphology of Squamous Cell Carcinomas Compared to Granular Cell Tmours' Pseudo-epitheliomatous Hyperplasia and to Normal Oral Mucosae

155

(10)

R. Abu-Eid

G. Landini

Statistical Shape Analysis Applied to Automatic Recognition of Tumor Cells

165

(10)

A. Micheletti

Fractal Analysis of Monolayer Cell Nuclei from Two Different Prognostic Classes of Early Ovarian Cancer

175

(12)

B. Nielsen

F. Albregtsen

H.E. Danielsen

Fractal Analysis of Vascular Network Pattern in Human Diseases

187

(6)

G. Bianciardi

C. De Felice

R. Cattaneo

S. Parrini

A. Monaco

G. Latini

Quantification of Local Architecture Changes Associated with Neoplastic Progression in Oral Epithelium using Graph Theory

193

(10)

G. Landini

I.E. Othman

Fractal Analysis of Canine Trichoblastoma

203

(6)

G. de Vico

M. Cataldi

P. Maiolino

S. Beltraminelli

G.A. Losa

Fractal Dimension as a Novel Clinical Parameter in Evaluation of the Urodynamic Curves

209

(6)

P. Waliszewski

U. Rebmann

J. Konarski

Nonlinear Dynamics in Uterine Contractions Analysis

215

(8)

E. Oczeretko

A. Kitlas

J. Swiatecka

M. Borowska

T. Laudanski

Computer-Aided Estimate and Modelling of the Geometrical Complexity of the Corneal Stroma

223

(8)

F. Grizzi

C. Russo

I. Torres-Munoz

B. Franceschini

P. Vinciguerra

N. Dioguardi

The Fractal Paradigm

231

(78)

Complex-Dynamical Extension of the Fractal Paradigm and Its Applications in Life Science

233

(12)

A.P. Kirilyuk

Fractal-like Features of Diosaur Eggshells

245

(12)

M. V. Rusu

S. Gheorghiu

Evolution and Regulation of Metabolic Networks

257

(12)

G. Damiani

Cytoskeleton as a Fractal Percolation Cluster: Some Biological Remarks

269

(8)

S. Traverso

A Mistery of the Gompertz Function

277

(10)

P. Waliszewski

J. Konarski

Fractional Calculus and Symbolic Solution of Fractional Differential Equations

287

(12)

G. Baumann

Fox-Function Representation of a Generalized Arrhenius Law and Applications

299

(10)

T.F. Nonnenmacher

Index

309

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