Fractal Geometry In Biological Systems

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Fractal Geometry in Biological Systems

Philip M. Iannaccone,Mustafa Khokha
Fractal Geometry in Biological Systems Book PDF

Author : Philip M. Iannaccone,Mustafa Khokha
Publisher : CRC Press
Page : 448 pages
File Size : 47,6 Mb
Release : 1996-07-25
Category : Science
ISBN : 084937636X

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Fractal Geometry in Biological Systems by Philip M. Iannaccone,Mustafa Khokha Pdf

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

Theo F. Nonnenmacher,Gabriele A. Losa,Ewald R. Weibel
Fractals in Biology and Medicine Book PDF

Author : Theo F. Nonnenmacher,Gabriele A. Losa,Ewald R. Weibel
Publisher : Birkhäuser
Page : 401 pages
File Size : 41,7 Mb
Release : 2013-03-07
Category : Science
ISBN : 9783034885010

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Fractals in Biology and Medicine by Theo F. Nonnenmacher,Gabriele A. Losa,Ewald R. Weibel Pdf

"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.

Fractals in Biology and Medicine

Gabriele A. Losa,Theo F. Nonnenmacher,Danilo Merlini,Ewald R. Weibel
Fractals in Biology and Medicine Book PDF

Author : Gabriele A. Losa,Theo F. Nonnenmacher,Danilo Merlini,Ewald R. Weibel
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 41,6 Mb
Release : 1994
Category : Mathematics
ISBN : 3764364742

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Fractals in Biology and Medicine by Gabriele A. Losa,Theo F. Nonnenmacher,Danilo Merlini,Ewald R. Weibel Pdf

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 Natural Science

M Matsushita,Michael F Shlesinger,Tamas Vicsek
Fractals In Natural Science Book PDF

Author : M Matsushita,Michael F Shlesinger,Tamas Vicsek
Publisher : World Scientific
Page : 658 pages
File Size : 55,5 Mb
Release : 1994-10-26
Category : Science
ISBN : 9789814596800

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Fractals In Natural Science by M Matsushita,Michael F Shlesinger,Tamas Vicsek Pdf

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

Gabriele A. Losa,Danilo Merlini,Theo F. Nonnenmacher,Ewald R. Weibel
Fractals in Biology and Medicine Book PDF

Author : Gabriele A. Losa,Danilo Merlini,Theo F. Nonnenmacher,Ewald R. Weibel
Publisher : Birkhäuser
Page : 314 pages
File Size : 51,8 Mb
Release : 2009-09-03
Category : Mathematics
ISBN : 376439045X

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Fractals in Biology and Medicine by Gabriele A. Losa,Danilo Merlini,Theo F. Nonnenmacher,Ewald R. Weibel Pdf

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 Biology and Medicine

G. Losa,T. Nonnenmacher,D. Merlini,Ewald R. Weibel
Fractals in Biology and Medicine Book PDF

Author : G. Losa,T. Nonnenmacher,D. Merlini,Ewald R. Weibel
Publisher : Birkhäuser
Page : 374 pages
File Size : 42,9 Mb
Release : 1998-04-15
Category : Science
ISBN : 3764357150

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Fractals in Biology and Medicine by G. Losa,T. Nonnenmacher,D. Merlini,Ewald R. Weibel Pdf

"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

G. Losa,T. Nonnenmacher,D. Merlini,Ewald R. Weibel
Fractals in Biology and Medicine Book PDF

Author : G. Losa,T. Nonnenmacher,D. Merlini,Ewald R. Weibel
Publisher : Birkhäuser
Page : 374 pages
File Size : 42,9 Mb
Release : 1998-04-15
Category : Science
ISBN : 3764357150

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Fractals in Biology and Medicine by G. Losa,T. Nonnenmacher,D. Merlini,Ewald R. Weibel Pdf

"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 Natural Sciences

Tamás Vicsek,Michael F. Shlesinger,Mitsugu Matsushita
Fractals in Natural Sciences Book PDF

Author : Tamás Vicsek,Michael F. Shlesinger,Mitsugu Matsushita
Publisher : World Scientific Publishing Company Incorporated
Page : 644 pages
File Size : 50,7 Mb
Release : 1994
Category : Science
ISBN : 9810216246

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Fractals in Natural Sciences by Tamás Vicsek,Michael F. Shlesinger,Mitsugu Matsushita Pdf

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.

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

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

Author : Alberto Strumia
Publisher : World Scientific
Page : 329 pages
File Size : 52,7 Mb
Release : 2020-07-02
Category : Science
ISBN : 9789811217173

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

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

Dinesh Kumar,Sridhar P. Arjunan,Behzad Aliahmad
Fractals Book PDF

Author : Dinesh Kumar,Sridhar P. Arjunan,Behzad Aliahmad
Publisher : CRC Press
Page : 134 pages
File Size : 54,5 Mb
Release : 2017-02-03
Category : Mathematics
ISBN : 9781351678384

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Fractals by Dinesh Kumar,Sridhar P. Arjunan,Behzad Aliahmad Pdf

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.

Thinking in Patterns

Miroslav M Novak
Thinking in Patterns Book PDF

Author : Miroslav M Novak
Publisher : World Scientific
Page : 336 pages
File Size : 46,6 Mb
Release : 2004-03-09
Category : Science
ISBN : 9789814482844

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Thinking in Patterns by Miroslav M Novak Pdf

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

Fractal Physiology

James B Bassingthwaighte,Larry S Liebovitch,Bruce J West
Fractal Physiology Book PDF

Author : James B Bassingthwaighte,Larry S Liebovitch,Bruce J West
Publisher : Springer
Page : 371 pages
File Size : 44,8 Mb
Release : 2013-05-27
Category : Medical
ISBN : 9781461475729

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Fractal Physiology by James B Bassingthwaighte,Larry S Liebovitch,Bruce J West Pdf

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.

Fractals in Science

Armin Bunde,Shlomo Havlin
Fractals in Science Book PDF

Author : Armin Bunde,Shlomo Havlin
Publisher : Springer
Page : 317 pages
File Size : 49,9 Mb
Release : 2013-12-21
Category : Science
ISBN : 9783642779534

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Fractals in Science by Armin Bunde,Shlomo Havlin Pdf

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.

Fractal Physiology and Chaos in Medicine

Bruce J. West
Fractal Physiology and Chaos in Medicine Book PDF

Author : Bruce J. West
Publisher : World Scientific
Page : 345 pages
File Size : 54,6 Mb
Release : 2012
Category : Mathematics
ISBN : 9789814417792

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Fractal Physiology and Chaos in Medicine by Bruce J. West Pdf

This exceptional book is concerned with the application of fractals and chaos, as well as other concepts from nonlinear dynamics to biomedical phenomena. Herein we seek to communicate the excitement being experienced by scientists upon making application of these concepts within the life sciences. Mathematical concepts are introduced using biomedical data sets and the phenomena being explained take precedence over the mathematics. In this new edition what has withstood the test of time has been updated and modernized; speculations that were not borne out have been expunged and the breakthroughs that have occurred in the intervening years are emphasized. The book provides a comprehensive overview of a nascent theory of medicine, including a new chapter on the theory of complex networks as they pertain to medicine.

Fractal Modelling

Jaap A. Kaandorp
Fractal Modelling Book PDF

Author : Jaap A. Kaandorp
Publisher : Springer Science & Business Media
Page : 234 pages
File Size : 49,6 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783642579226

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Fractal Modelling by Jaap A. Kaandorp Pdf

In this book, methods from fractal geometry are applied to model growth forms, taking as a case study a type of growth process which can be found among various taxonomic classes such as sponges and corals. These models can be used, for example, to understand the amazing variety of forms to be found in a coral reef and to simulate their growth with 2D and 3D geometrical objects. Models which mimic the growth of forms and the environmental influence on the growth process are also useful for ecologists, as a combination of simulation models together with the actual growth forms can be used to detect the effects of slow changes in the environment.