Fractal Geometry In Biological Systems

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Fractal Geometry in Biological Systems

Author : Philip M. Iannaccone
Publisher : CRC Press
ISBN 13 : 9780849376368
Total Pages : 448 pages
Book Rating : 4.3/5 (763 download)

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Book Synopsis Fractal Geometry in Biological Systems by : Philip M. Iannaccone

Download or read book Fractal Geometry in Biological Systems written by Philip M. Iannaccone and published by CRC Press. This book was released on 1996-07-25 with total page 448 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Gabriele A. Losa
Publisher : Birkhäuser
ISBN 13 : 3034881193
Total Pages : 354 pages
Book Rating : 4.0/5 (348 download)

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Book Synopsis Fractals in Biology and Medicine by : Gabriele A. Losa

Download or read book Fractals in Biology and Medicine written by Gabriele A. Losa and published by Birkhäuser. This book was released on 2012-12-06 with total page 354 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Theo F. Nonnenmacher
Publisher : Birkhauser
ISBN 13 :
Total Pages : 422 pages
Book Rating : 4.F/5 ( download)

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Book Synopsis Fractals in Biology and Medicine by : Theo F. Nonnenmacher

Download or read book Fractals in Biology and Medicine written by Theo F. Nonnenmacher and published by Birkhauser. This book was released on 1994 with total page 422 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Gabriele A. Losa
Publisher : Birkhäuser
ISBN 13 : 9783764390457
Total Pages : 314 pages
Book Rating : 4.3/5 (94 download)

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Book Synopsis Fractals in Biology and Medicine by : Gabriele A. Losa

Download or read book Fractals in Biology and Medicine written by Gabriele A. Losa and published by Birkhäuser. This book was released on 2009-09-03 with total page 314 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : M Matsushita
Publisher : World Scientific
ISBN 13 : 9814596809
Total Pages : 658 pages
Book Rating : 4.8/5 (145 download)

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Book Synopsis Fractals In Natural Science by : M Matsushita

Download or read book Fractals In Natural Science written by M Matsushita and published by World Scientific. This book was released on 1994-10-26 with total page 658 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 Biology and Medicine

Author : G. Losa
Publisher : Birkhäuser
ISBN 13 : 9783764357153
Total Pages : 374 pages
Book Rating : 4.3/5 (571 download)

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Book Synopsis Fractals in Biology and Medicine by : G. Losa

Download or read book Fractals in Biology and Medicine written by G. Losa and published by Birkhäuser. This book was released on 1998-04-15 with total page 374 pages. Available in PDF, EPUB and Kindle. Book excerpt: "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

Author : G. Losa
Publisher : Birkhäuser
ISBN 13 : 9783764357153
Total Pages : 374 pages
Book Rating : 4.3/5 (571 download)

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Book Synopsis Fractals in Biology and Medicine by : G. Losa

Fractals in Natural Sciences

Author : Tamás Vicsek
Publisher : World Scientific Publishing Company Incorporated
ISBN 13 : 9789810216245
Total Pages : 644 pages
Book Rating : 4.2/5 (162 download)

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Book Synopsis Fractals in Natural Sciences by : Tamás Vicsek

Download or read book Fractals in Natural Sciences written by Tamás Vicsek and published by World Scientific Publishing Company Incorporated. This book was released on 1994 with total page 644 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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

Author : Armin Bunde
Publisher : Springer
ISBN 13 : 3642779530
Total Pages : 317 pages
Book Rating : 4.6/5 (427 download)

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Book Synopsis Fractals in Science by : Armin Bunde

Download or read book Fractals in Science written by Armin Bunde and published by Springer. This book was released on 2013-12-21 with total page 317 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

The Fractal Geometry of Nature

Author : Benoit Mandelbrot
Publisher : Echo Point Books & Media, LLC
ISBN 13 : 9781648370410
Total Pages : 0 pages
Book Rating : 4.3/5 (74 download)

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Book Synopsis The Fractal Geometry of Nature by : Benoit Mandelbrot

Download or read book The Fractal Geometry of Nature written by Benoit Mandelbrot and published by Echo Point Books & Media, LLC. This book was released on 2021-07-16 with total page 0 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

From Fractals And Cellular Automata To Biology: Information As Order Hidden Within Chance

Author : Alberto Strumia
Publisher : World Scientific
ISBN 13 : 9811217173
Total Pages : 329 pages
Book Rating : 4.8/5 (112 download)

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Book Synopsis From Fractals And Cellular Automata To Biology: Information As Order Hidden Within Chance by : Alberto Strumia

Download or read book From Fractals And Cellular Automata To Biology: Information As Order Hidden Within Chance written by Alberto Strumia and published by World Scientific. This book was released on 2020-07-02 with total page 329 pages. Available in PDF, EPUB and Kindle. Book excerpt: The didactical level of exposition, together with many astonishing images and animations, accompanied by the related simple computer programming codes (in Python and POV-Ray languages) make this book an extremely and unique useful tool to test the power of algorithmic information in generating ordered structure models (2D and 3D) like regular geometric shapes, complex shapes like fractals and cellular automata, and biological systems as the organs of a living body. Informational biologists besides mathematicians and physicists of complexity may learn to test their own capabilities in programming and modelling ordered structures starting from random initial conditions at different scale of each system: from elementary particles, to biological systems, to galaxies and the whole universe. Moreover the philosophical comments comparing some aspects of modern information theory to the Aristotelian notion of 'form are very appealing also for the epistemologist and the philosopher involved in complexity matters.

Fractals

Author : Dinesh Kumar
Publisher : CRC Press
ISBN 13 : 1351678388
Total Pages : 134 pages
Book Rating : 4.3/5 (516 download)

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Book Synopsis Fractals by : Dinesh Kumar

Download or read book Fractals written by Dinesh Kumar and published by CRC Press. This book was released on 2017-02-03 with total page 134 pages. Available in PDF, EPUB and Kindle. Book excerpt: The book provides an insight into the advantages and limitations of the use of fractals in biomedical data. It begins with a brief introduction to the concept of fractals and other associated measures and describes applications for biomedical signals and images. Properties of biological data in relations to fractals and entropy, and the association with health and ageing are also covered. The book provides a detailed description of new techniques on physiological signals and images based on the fractal and chaos theory. The aim of this book is to serve as a comprehensive guide for researchers and readers interested in biomedical signal and image processing and feature extraction for disease risk analyses and rehabilitation applications. While it provides the mathematical rigor for those readers interested in such details, it also describes the topic intuitively such that it is suitable for audience who are interested in applying the methods to healthcare and clinical applications. The book is the outcome of years of research by the authors and is comprehensive and includes other reported outcomes.

The Fractal Geometry of the Brain

Author : Antonio Di Ieva
Publisher : Springer
ISBN 13 : 1493939955
Total Pages : 583 pages
Book Rating : 4.4/5 (939 download)

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Book Synopsis The Fractal Geometry of the Brain by : Antonio Di Ieva

Download or read book The Fractal Geometry of the Brain written by Antonio Di Ieva and published by Springer. This book was released on 2016-08-03 with total page 583 pages. Available in PDF, EPUB and Kindle. Book excerpt: Reviews the most intriguing applications of fractal analysis in neuroscience with a focus on current and future potential, limits, advantages, and disadvantages. Will bring an understanding of fractals to clinicians and researchers also if they do not have a mathematical background, and will serve as a good tool for teaching the translational applications of computational models to students and scholars of different disciplines. This comprehensive collection is organized in four parts: (1) Basics of fractal analysis; (2) Applications of fractals to the basic neurosciences; (3) Applications of fractals to the clinical neurosciences; (4) Analysis software, modeling and methodology.

Fractal Physiology

Author : James B Bassingthwaighte
Publisher : Springer
ISBN 13 : 1461475724
Total Pages : 371 pages
Book Rating : 4.4/5 (614 download)

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Book Synopsis Fractal Physiology by : James B Bassingthwaighte

Download or read book Fractal Physiology written by James B Bassingthwaighte and published by Springer. This book was released on 2013-05-27 with total page 371 pages. Available in PDF, EPUB and Kindle. Book excerpt: I know that most men, including those at ease with the problems of the greatest complexity, can seldom accept even the simplest and most obvious truth if it be such as would oblige them to admit the falsity of conclusions which they have delighted in explaining to colleagues, which they have proudly taught to others, and which they have woven, thread by thread, into the fabric of their lives. Joseph Ford quoting Tolstoy (Gleick, 1987) We are used to thinking that natural objects have a certain form and that this form is determined by a characteristic scale. If we magnify the object beyond this scale, no new features are revealed. To correctly measure the properties of the object, such as length, area, or volume, we measure it at a resolution finer than the characteristic scale of the object. We expect that the value we measure has a unique value for the object. This simple idea is the basis of the calculus, Euclidean geometry, and the theory of measurement. However, Mandelbrot (1977, 1983) brought to the world's attention that many natural objects simply do not have this preconceived form. Many of the structures in space and processes in time of living things have a very different form. Living things have structures in space and fluctuations in time that cannot be characterized by one spatial or temporal scale. They extend over many spatial or temporal scales.

Thinking in Patterns

Author : Miroslav M Novak
Publisher : World Scientific
ISBN 13 : 9814482846
Total Pages : 336 pages
Book Rating : 4.8/5 (144 download)

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Book Synopsis Thinking in Patterns by : Miroslav M Novak

Download or read book Thinking in Patterns written by Miroslav M Novak and published by World Scientific. This book was released on 2004-03-09 with total page 336 pages. Available in PDF, EPUB and Kindle. Book excerpt: Fractal geometry, together with the broader fields of nonlinear dynamics and complexity, represented a large segment of modern science at the end of the 20th century. Penetration of the resulting new paradigms into practically all academic disciplines has confirmed the fundamental assertion of universal formalism common to a wide range of human endeavors. This book contains an extended article by B B Mandelbrot, reviewing his contribution to fractal geometry and outlining some unsolved problems, with illustrations especially of finance and physics. It covers a range of multidisciplinary topics — from the biology of aging, through the self-similar shape of plants, image decompression and solar magnetic fields, to sound reflection in the street. The book is a treasure trove for innovative researchers working in fields related to fractal geometry. The proceedings have been selected for coverage in: • Index to Scientific & Technical Proceedings® (ISTP® / ISI Proceedings) • Index to Scientific & Technical Proceedings (ISTP CDROM version / ISI Proceedings) • CC Proceedings — Engineering & Physical Sciences Contents:Selected Topics in Mathematics, Physics, and Finance Originating in Fractal Geometry (B B Mandelbrot)Nonlinear Dynamics and Prediction of the Caspian Sea Level (N G Makarenko et al.)Self-Similarity in Plants: Integrating Mathematical and Biological Perspectives (P Prusinkiewicz)The Complexity of Biological Ageing (D Stauffer)Fractal Geometry in the Arts: An Overview Across the Different Cultures (N Sala)Binomial Multiplicative Model of Critical Fragmentation (H Katsuragi et al.)Epidermal Ridges: Positional Information Coded in an Orientational Field (M B Nguyen et al.)Fractality and Fractal Dimension in Mesoamerican Pyramid Analysis (G Burkle-Elizondo et al.)Fractals and Plant Water Use Efficiency (A Bari et al.)Need and Feasibility of Applying L-System Models in Agricultural Crop Modeling (L Pachepsky et al.)and other papers Readership: Upper level undergraduates, graduate students, academics, researchers and industrialists in nonlinear science, complex systems and general mathematics. Keywords:Fractals;Complexity;Wavelets;Fluctuations;Self-Similarity

Chaos and Fractals

Author : C.A. Pickover
Publisher : Elsevier
ISBN 13 : 9780080528861
Total Pages : 452 pages
Book Rating : 4.5/5 (288 download)

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Book Synopsis Chaos and Fractals by : C.A. Pickover

Download or read book Chaos and Fractals written by C.A. Pickover and published by Elsevier. This book was released on 1998-08-03 with total page 452 pages. Available in PDF, EPUB and Kindle. Book excerpt: These days computer-generated fractal patterns are everywhere, from squiggly designs on computer art posters to illustrations in the most serious of physics journals. Interest continues to grow among scientists and, rather surprisingly, artists and designers. This book provides visual demonstrations of complicated and beautiful structures that can arise in systems, based on simple rules. It also presents papers on seemingly paradoxical combinations of randomness and structure in systems of mathematical, physical, biological, electrical, chemical, and artistic interest. Topics include: iteration, cellular automata, bifurcation maps, fractals, dynamical systems, patterns of nature created through simple rules, and aesthetic graphics drawn from the universe of mathematics and art. Chaos and Fractals is divided into six parts: Geometry and Nature; Attractors; Cellular Automata, Gaskets, and Koch Curves; Mandelbrot, Julia and Other Complex Maps; Iterated Function Systems; and Computer Art. Additionally, information on the latest practical applications of fractals and on the use of fractals in commercial products such as the antennas and reaction vessels is presented. In short, fractals are increasingly finding application in practical products where computer graphics and simulations are integral to the design process. Each of the six sections has an introduction by the editor including the latest research, references, and updates in the field. This book is enhanced with numerous color illustrations, a comprehensive index, and the many computer program examples encourage reader involvement.

Fractals: A Very Short Introduction

Author : Kenneth Falconer
Publisher : OUP Oxford
ISBN 13 : 0191663441
Total Pages : 144 pages
Book Rating : 4.1/5 (916 download)

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Book Synopsis Fractals: A Very Short Introduction by : Kenneth Falconer

Download or read book Fractals: A Very Short Introduction written by Kenneth Falconer and published by OUP Oxford. This book was released on 2013-09-26 with total page 144 pages. Available in PDF, EPUB and Kindle. Book excerpt: Many are familiar with the beauty and ubiquity of fractal forms within nature. Unlike the study of smooth forms such as spheres, fractal geometry describes more familiar shapes and patterns, such as the complex contours of coastlines, the outlines of clouds, and the branching of trees. In this Very Short Introduction, Kenneth Falconer looks at the roots of the 'fractal revolution' that occurred in mathematics in the 20th century, presents the 'new geometry' of fractals, explains the basic concepts, and explores the wide range of applications in science, and in aspects of economics. This is essential introductory reading for students of mathematics and science, and those interested in popular science and mathematics. ABOUT THE SERIES: The Very Short Introductions series from Oxford University Press contains hundreds of titles in almost every subject area. These pocket-sized books are the perfect way to get ahead in a new subject quickly. Our expert authors combine facts, analysis, perspective, new ideas, and enthusiasm to make interesting and challenging topics highly readable.