Fractal Geometry In Biological Systems
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Fractal Geometry In Biological Systems
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Author : Philip M. Iannaccone
language : en
Publisher: CRC Press
Release Date : 1996-07-25
Fractal Geometry In Biological Systems written by Philip M. Iannaccone and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 1996-07-25 with Science categories.
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
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Author : Theo F. Nonnenmacher
language : en
Publisher: Birkhäuser
Release Date : 2013-03-07
Fractals In Biology And Medicine written by Theo F. Nonnenmacher and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2013-03-07 with Science categories.
"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
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Author : Gabriele A. Losa
language : en
Publisher: Springer Science & Business Media
Release Date : 1994
Fractals In Biology And Medicine written by Gabriele A. Losa and has been published by Springer Science & Business Media this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Mathematics categories.
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
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Author : Gabriele A. Losa
language : en
Publisher: Birkhäuser
Release Date : 2009-09-03
Fractals In Biology And Medicine written by Gabriele A. Losa and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 2009-09-03 with Mathematics categories.
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
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Author : M Matsushita
language : en
Publisher: World Scientific
Release Date : 1994-10-26
Fractals In Natural Science written by M Matsushita and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994-10-26 with Science categories.
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
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Author : G. Losa
language : en
Publisher: Birkhäuser
Release Date : 1998-04-15
Fractals In Biology And Medicine written by G. Losa and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-15 with Science categories.
"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
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Author : G. Losa
language : en
Publisher: Birkhäuser
Release Date : 1998-04-15
Fractals In Biology And Medicine written by G. Losa and has been published by Birkhäuser this book supported file pdf, txt, epub, kindle and other format this book has been release on 1998-04-15 with Science categories.
"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
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Author : Tamás Vicsek
language : en
Publisher: World Scientific Publishing Company Incorporated
Release Date : 1994
Fractals In Natural Sciences written by Tamás Vicsek and has been published by World Scientific Publishing Company Incorporated this book supported file pdf, txt, epub, kindle and other format this book has been release on 1994 with Science categories.
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
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Author : Alberto Strumia
language : en
Publisher: World Scientific
Release Date : 2020-07-02
From Fractals And Cellular Automata To Biology Information As Order Hidden Within Chance written by Alberto Strumia and has been published by World Scientific this book supported file pdf, txt, epub, kindle and other format this book has been release on 2020-07-02 with Science categories.
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
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Author : Dinesh Kumar
language : en
Publisher: CRC Press
Release Date : 2017-02-03
Fractals written by Dinesh Kumar and has been published by CRC Press this book supported file pdf, txt, epub, kindle and other format this book has been release on 2017-02-03 with Mathematics categories.
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.