Fractals In Biology And Medicine

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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 : 354 pages
File Size : 42,7 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034881197

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Fractals in Biology and Medicine by Gabriele A. Losa,Danilo Merlini,Theo F. Nonnenmacher,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 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 : 54,7 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 : 54,9 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 : 49,8 Mb
Release : 1998-04-15
Category : Science
ISBN : 3764357150

Get Book

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

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 : Springer Science & Business Media
Page : 311 pages
File Size : 47,7 Mb
Release : 2006-03-30
Category : Mathematics
ISBN : 9783764374129

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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

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 : 49,8 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

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 : 52,9 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

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 : 380 pages
File Size : 52,5 Mb
Release : 2013-03-11
Category : Science
ISBN : 9783034889360

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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 Science

Armin Bunde,Shlomo Havlin
Fractals in Science Book PDF

Author : Armin Bunde,Shlomo Havlin
Publisher : Springer
Page : 317 pages
File Size : 55,7 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.

Physics in Biology and Medicine

Paul Davidovits
Physics in Biology and Medicine Book PDF

Author : Paul Davidovits
Publisher : Academic Press
Page : 352 pages
File Size : 47,7 Mb
Release : 2008
Category : Medical
ISBN : 9780123694119

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Physics in Biology and Medicine by Paul Davidovits Pdf

This third edition covers topics in physics as they apply to the life sciences, specifically medicine, physiology, nursing and other applied health fields. It includes many figures, examples and illustrative problems and appendices which provide convenient access to the most important concepts of mechanics, electricity, and optics.

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 : 49,5 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.

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 : 49,7 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.

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 : 40,5 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.

Fractals’ Physical Origin and Properties

Luciano Pietronero
Fractals Physical Origin and Properties Book PDF

Author : Luciano Pietronero
Publisher : Springer
Page : 356 pages
File Size : 43,6 Mb
Release : 2013-12-19
Category : Medical
ISBN : 9781489934994

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Fractals’ Physical Origin and Properties by Luciano Pietronero Pdf

This volume contains the Proceedings of the Special Seminar on: FRAGTALS held from October 9-15, 1988 at the Ettore Majorana Centre for Scientific Culture, Erice (Trapani), Italy. The concepts of self-similarity and scale invariance have arisen independently in several areas. One is the study of critical properites of phase transitions; another is fractal geometry, which involves the concept of (non-integer) fractal dimension. These two areas have now come together, and their methods have extended to various fields of physics. The purpose of this Seminar was to provide an overview of the recent developments in the field. Most of the contributions are theoretical, but some experimental work is also included. Du:cing the past few years two tendencies have emerged in this field: one is to realize that many phenomena can be naturally modelled by fractal structures. So one can use this concept to define simple modele and study their physical properties. The second point of view is more microscopic and tries to answer the question: why nature gives rise to fractal structures. This implies the formulation of fractal growth modele based on physical concepts and their theoretical understanding in the same sense as the Renormalization Group method has allowed to understand the critical properties of phase transitions.

Systems Biology

Robert A. Meyers
Systems Biology Book PDF

Author : Robert A. Meyers
Publisher : John Wiley & Sons
Page : 729 pages
File Size : 43,8 Mb
Release : 2012-12-05
Category : Science
ISBN : 9783527668595

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Systems Biology by Robert A. Meyers Pdf

Systems biology is a relatively new biological study field that focuses on the systematic study of complex interactions in biological systems, thus using a new perspective (integration instead of reduction) to study them. Particularly from year 2000 onwards, the term is used widely in the biosciences, and in a variety of contexts. Systems biology is the study of the interconnected aspect of molecular, cellular, tissue, whole animal and ecological processes, and comprises mathematical and mechanistic studies of dynamical, mesoscopic, open, spatiotemporally defined, nonlinear, complex systems that are far from thermodynamic equilibrium.