Fractals in Biology and Medicine, 4. kötet

Első borító
Gabriele A. Losa, Danilo Merlini, Theo F. Nonnenmacher, Ewald R. Weibel
Springer Science & Business Media, 2006. márc. 30. - 314 oldal
This book is a compilation of the presentations given at the Fourth International Symposium on Fractals in Biology and Medicine held in Ascona, Switzerland on - th 13 March 2004 and was dedicated to Professor Benoît Mandelbrot in honour of his 80 birthday. The Symposium was the fourth of a series that originated back in 1993, always in Ascona. The fourth volume consists of 29 contributions organized under four sections: Fractal structures in biological systems Fractal structures in neurosciences Fractal structures in tumours and diseases The fractal paradigm Mandelbrot’s concepts such as scale invariance, self-similarity, irregularity and iterative processes as tackled by fractal geometry have prompted innovative ways to promote a real progress in biomedical sciences, namely by understanding and analytically describing complex hierarchical scaling processes, chaotic disordered systems, non-linear dynamic phenomena, standard and anomalous transport diffusion events through membrane surfaces, morphological structures and biological shapes either in physiological or in diseased states. While most of biologic processes could be described by models based on power law behaviour and quantified by a single characteristic parameter [the fractal dimension D], other models were devised for describing fractional time dynamics and fractional space behaviour or both (- fractional mechanisms), that allow to combine the interaction between spatial and functional effects by introducing two fractional parameters. Diverse aspects that were addressed by all bio-medical subjects discussed during the symposium.
 

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Tartalomjegyzék

Foreword
1
How Deep Does
17
Is the Lung an Optimal Gas Exchanger?
30
Interplay between
43
H K Hahn M Georg and H O Peitgen 55
67
H F Jelinek N Elston and B Zietsch 85
95
Ciompi andM Baatz
108
Scaling Properties of Cerebral Hemodynamics
121
Fractal Analysis of Vascular Network Pattern in Human Diseases
187
Fractal Analysis of Canine Trichoblastoma
203
ComputerAided Estimate and Modelling of the Geometrical Complexity
223
ComplexDynamical Extension of the Fractal Paradigm and Its Applications
233
Fractallike Features of Diosaur Eggshells
246
Some Biological Remarks
269
A Mistery of the Gompertz Function
287
T F Nonnenmacher
300

B J West and N Scafetta 131
141
Statistical Shape Analysis Applied to Automatic Recognition
165

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A szerzőről (2006)

Ewald R. Weibel is Professor of Anatomy, University of Bern, Switzerland.

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