"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.
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First Sentence:
In his seminal book The Fractal Geometry of Nature Benoit Mandelbrot made the point that the mathematical construct of a geometry which allows for fractional dimensions will prove most useful in the characterization of natural phenomena, structures and processes alike. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
hairy leukemic cells, plastochrone ratio, fractal membrane, permeability regime, parastichy numbers, sixth order harmonic, membrane admittance, periodical lattice, diameter exponent, yardstick method, updated neighbors, voltage decline, surface immunophenotype, roundness factor, cell contours, irregular membrane, airway tree, box counting method, serial slices, crossover length, logistic data, capillary layer, fluorescence recovery, fractal dimension, finite permeability Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, World Scientific, Academic Press, D'Arcy Thompson, Lecture Notes, Singh Index, San Francisco, University of Ulm, Cell Biol, Benoit Mandelbrot, Evolutionary Meaning, California Press, Cambridge University Press, Nile Red, Scientific American, Springer Verlag, Swiss National Science Foundation, Boca Raton, Deutsche Forschungsgemeinschaft, Dynamics of Fractal Surfaces, Germany Abstract, Journal de Physique, Multivariate Characterization of Blood Vessel Morphogenesis, Plenum Press, Switzerland Abstract New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
In his seminal book The Fractal Geometry of Nature Benoit Mandelbrot made the point that the mathematical construct of a geometry which allows for fractional dimensions will prove most useful in the characterization of natural phenomena, structures and processes alike. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
hairy leukemic cells, plastochrone ratio, fractal membrane, permeability regime, parastichy numbers, sixth order harmonic, membrane admittance, periodical lattice, diameter exponent, yardstick method, updated neighbors, voltage decline, surface immunophenotype, roundness factor, cell contours, irregular membrane, airway tree, box counting method, serial slices, crossover length, logistic data, capillary layer, fluorescence recovery, fractal dimension, finite permeability Key Phrases - Capitalized Phrases (CAPs): (learn more)
New York, World Scientific, Academic Press, D'Arcy Thompson, Lecture Notes, Singh Index, San Francisco, University of Ulm, Cell Biol, Benoit Mandelbrot, Evolutionary Meaning, California Press, Cambridge University Press, Nile Red, Scientific American, Springer Verlag, Swiss National Science Foundation, Boca Raton, Deutsche Forschungsgemeinschaft, Dynamics of Fractal Surfaces, Germany Abstract, Journal de Physique, Multivariate Characterization of Blood Vessel Morphogenesis, Plenum Press, Switzerland Abstract New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
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This book cites 40
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32
books
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- The Fractal Geometry of Nature by Benoit B. Mandelbrot on 12 pages
- On Growth and Form: The Complete Revised Edition (Dover Books on Biology) by D'Arcy Wentworth Thompson on 4 pages
- Fractals and Disordered Systems by Armin Bunde on page 99, page 100, and page 102
- Dynamics of Fractal Surfaces by Fereydoon Family on page 21, page 100, and page 282
- Fractals in Biology and Medicine: Volume IV (Mathematics and Biosciences in Interaction) by Gabriele A. Losa on page 200, page 219, and page 361
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- Fractals in Biology and Medicine, Volume II by G. Losa on 18 pages
- Fractals in Biology and Medicine: Volume IV (Mathematics and Biosciences in Interaction) by Gabriele A. Losa on 10 pages
- Fractal Geometry in Biological Systems: An Analytical Approach by Philip M. Iannaccone on 6 pages
- Vascular Morphogenesis: in Vivo, in Vitro, in Mente by Vladimir Mironov on page 201, page 203, and Back Matter
- Biological Physics 2000 by Virulh Sa-Yakanit on page 231, and page 232
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