Fractal Geometry in Biological Systems

Fractal Geometry in Biological Systems PDF

Author: Philip M. Iannaccone

Publisher: CRC Press

Published: 1996-07-25

Total Pages: 448

ISBN-13: 9780849376368

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Fractal Geometry in Biological Systems was written by the leading experts in the field of mathematics and the biological sciences together. It is intended to inform researchers in the bringing about the fundamental nature of fractals and their widespread appearance in biological systems. The chapters explain how the presence of fractal geometry can be used in an analytical way to predict outcomes in systems, to generate hypotheses, and to help design experiments. The authors make the mathematics accessible to a wide audience and do not assume prior experience in this area.

Fractals in Biology and Medicine

Fractals in Biology and Medicine PDF

Author: Gabriele A. Losa

Publisher: Birkhäuser

Published: 2012-12-06

Total Pages: 354

ISBN-13: 3034881193

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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 provided stimulating contributions from the very topical field Fractals in Biology and Medicine. This volume highlights the growing power and efficacy of the fractal geometry in understanding how to analyze living phenomena and complex shapes.

Fractals in Biology and Medicine

Fractals in Biology and Medicine PDF

Author: Theo F. Nonnenmacher

Publisher: Birkhauser

Published: 1994

Total Pages: 422

ISBN-13:

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This text 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. This text 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 of contributing to the understanding of pathogenetic processes in medicine. This book is a presentation of the importance of the new concept of fractal geometry for biological and medical sciences. It collates 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, Benoat 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.

Fractals in Biology and Medicine

Fractals in Biology and Medicine PDF

Author: Gabriele A. Losa

Publisher: Birkhäuser

Published: 2009-09-03

Total Pages: 314

ISBN-13: 9783764390457

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This volume is number four in a series of proceedings volumes from the International Symposia on Fractals in Biology and Medicine in Ascona, Switzerland which have been inspired by the work of Benoît Mandelbrot seeking to extend the concepts towards the life sciences. 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 or in pathological conditions.

Fractals In Natural Science

Fractals In Natural Science PDF

Author: M Matsushita

Publisher: World Scientific

Published: 1994-10-26

Total Pages: 658

ISBN-13: 9814596809

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During the last couple of years, fractals have been shown to represent the common aspects of many complex processes occurring in an unusually diverse range of fields including biology, chemistry, earth sciences, physics and technology. Using fractal geometry as a language, it has become possible to get a deeper insight into previously intractable problems. Among many others, a better understanding of growth phenomena, turbulence, iteractive functions, colloidal aggregation, biological pattern formation and inhomogenous materials has emerged through the application of such concepts as scale invariance, self-affinity and multifractality.This volume contains a selection of high quality papers that discuss the latest developments in the research of fractals. It is divided into 5 sections and contains altogether 64 papers. Each paper is written by a well known author or authors in the field. Beginning each section is a short introduction, written by a prominent author, which gives a brief overview of the topics discussed in the respective sections.

Fractals in Science

Fractals in Science PDF

Author: Armin Bunde

Publisher: Springer

Published: 2013-12-21

Total Pages: 317

ISBN-13: 3642779530

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A deeply detailed discussion of fractals in biology, heterogeneous chemistry, polymers, and the earth sciences. Beginning with a general introduction to fractal geometry it continues with eight chapters on self-organized criticality, rough surfaces and interfaces, random walks, chemical reactions, and fractals in chemisty, biology, and medicine. A special chapter entitled "Computer Exploration of Fractals, Chaos, and Cooperativity" presents computer demonstrations of fractal models: 14 programs are included on a 3 1/2" MS-DOS diskette which run on any PC with at least 1 MB RAM and a EGA or VGA graphics card, 16 colors.

Fractals in Biology and Medicine

Fractals in Biology and Medicine PDF

Author: G. Losa

Publisher: Birkhäuser

Published: 1998-04-15

Total Pages: 374

ISBN-13: 9783764357153

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"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.

Fractals in Biology and Medicine

Fractals in Biology and Medicine PDF

Author: G. Losa

Publisher: Birkhäuser

Published: 1998-04-15

Total Pages: 374

ISBN-13: 9783764357153

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"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.

The Fractal Geometry of Nature

The Fractal Geometry of Nature PDF

Author: Benoit Mandelbrot

Publisher: Echo Point Books & Media, LLC

Published: 2021-07-16

Total Pages: 0

ISBN-13: 9781648370410

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Written in a style that is accessible to a wide audience, The Fractal Geometry of Nature inspired popular interest in this emerging field. Mandelbrot's unique style, and rich illustrations will inspire readers of all backgrounds.

Fractals in Natural Sciences

Fractals in Natural Sciences PDF

Author: Tamás Vicsek

Publisher: World Scientific Publishing Company Incorporated

Published: 1994

Total Pages: 644

ISBN-13: 9789810216245

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During the last couple of years, fractals have been shown to represent the common aspects of many complex processes occurring in an unusually diverse range of fields including biology, chemistry, earth sciences, physics and technology. Using fractal geometry as a language, it has become possible to get a deeper insight into previously intractable problems. Among many others, a better understanding of growth phenomena, turbulence, iteractive functions, colloidal aggregation, biological pattern formation and inhomogenous materials has emerged through the application of such concepts as scale invariance, self-affinity and multifractality.This volume contains a selection of high quality papers that discuss the latest developments in the research of fractals. It is divided into 5 sections and contains altogether 64 papers. Each paper is written by a well known author or authors in the field. Beginning each section is a short introduction, written by a prominent author, which gives a brief overview of the topics discussed in the respective sections.

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