On the Fractal Language of Medicine

On the Fractal Language of Medicine
Title On the Fractal Language of Medicine PDF eBook
Author Bruce J. West
Publisher CRC Press
Pages 162
Release 2024-07-17
Genre Mathematics
ISBN 1040089135

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On the Fractal Language of Medicine bridges a very clear gap among the knowledge gained over the last 20 years in the physical and life sciences on network theory, organ synchronicity and communication, the understanding of fractal signatures in health and disease and the importance of fractional calculus in integrating these concepts. The authors opine that the field of medicine has not appreciated this hard-won knowledge and has suffered greatly as a result. This book addresses this perceived deficiency by introducing medical researchers, clinicians, residents, first-year medical students and members of allied fields to the work of the so-called hard sciences. It seeks to facilitate effective communication between empiricists and theorists by making interdisciplinary efforts to explain complex mathematical concepts to physicians and, equally important, to elucidate complex medical concepts to physicists or mathematicians. This book will be of great interest to medical students, professionals and academics, as well as students and researchers of applied mathematics, especially those interested in fractional calculus and fractals.

Fractals in Biology and Medicine

Fractals in Biology and Medicine
Title Fractals in Biology and Medicine PDF eBook
Author Gabriele A. Losa
Publisher Springer Science & Business Media
Pages 382
Release 1994
Genre Mathematics
ISBN 9783764364748

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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.

Fractal Physiology

Fractal Physiology
Title Fractal Physiology PDF eBook
Author James B Bassingthwaighte
Publisher Springer
Pages 371
Release 2013-05-27
Genre Medical
ISBN 1461475724

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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 Physiology and Chaos in Medicine

Fractal Physiology and Chaos in Medicine
Title Fractal Physiology and Chaos in Medicine PDF eBook
Author Bruce J. West
Publisher World Scientific
Pages 345
Release 2012
Genre Mathematics
ISBN 9814417793

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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.

Physics of Fractal Operators

Physics of Fractal Operators
Title Physics of Fractal Operators PDF eBook
Author Bruce West
Publisher Springer Science & Business Media
Pages 355
Release 2012-12-06
Genre Science
ISBN 0387217460

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This text describes the statistcal behavior of complex systems and shows how the fractional calculus can be used to model the behavior. The discussion emphasizes physical phenomena whose evolution is best described using the fractional calculus, such as systems with long-range spatial interactions or long-time memory. The book gives general strategies for understanding wave propagation through random media, the nonlinear response of complex materials, and the fluctuations of heat transport in heterogeneous materials.

Fractals in Science

Fractals in Science
Title Fractals in Science PDF eBook
Author Armin Bunde
Publisher Springer
Pages 317
Release 2013-12-21
Genre Science
ISBN 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.

Where Medicine Went Wrong

Where Medicine Went Wrong
Title Where Medicine Went Wrong PDF eBook
Author Bruce J. West
Publisher World Scientific
Pages 352
Release 2006
Genre Medical
ISBN 9812773096

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The field of solid state ionics deals with ionically conducting materials in the solid state and numerous devices based on such materials. Solid state ionic materials cover a wide spectrum, ranging from inorganic crystalline and polycrystalline solids, ceramics, glasses, polymers, composites and nano-scale materials. A large number of Scientists in Asia are engaged in research in solid state ionic materials and devices and since 1988. The Asian Society for solid state ionics has played a key role in organizing a series of bi-ennial conferences on solid state ionics in different Asian countries. The contributions in this volume were presented at the 10th conference in the series organized by the Postgraduate Institute of Science (PGIS) and the Faculty of Science, University of Peradeniya, Sri Lanka, which coincided with the 10th Anniversary of the Postgraduate Institute of Science (PGIS). The topics cover solid state ionic materials as well as such devices as solid state batteries, fuel cells, sensors, and electrochromic devices. The aspects covered include theoretical studies and modeling, experimental techniques, materials synthesis and characterization, device fabrication and characterization.