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

Download On the Fractal Language of Medicine Book in PDF, Epub and Kindle

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 Computers
ISBN 9783764364748

Download Fractals in Biology and Medicine Book in PDF, Epub and Kindle

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.

Crucial Event Rehabilitation Therapy

Crucial Event Rehabilitation Therapy
Title Crucial Event Rehabilitation Therapy PDF eBook
Author Bruce J. West
Publisher Springer Nature
Pages 101
Release 2023-11-30
Genre Mathematics
ISBN 3031462777

Download Crucial Event Rehabilitation Therapy Book in PDF, Epub and Kindle

This book describes a new strategy for rehabilitation from injury and/or disease using Crucial Event Therapy. Recent studies have shown that individuals can recuperate more rapidly from surgery and other invasive procedures intended to correct the negative effects of disease or injury through the use of life support systems that operate at the body's natural biofrequencies. The same observation has been clinically shown to reverse the degenerative effects of neurodegenerative diseases such as Parkinson’s and Alzheimer's Disease. Crucial Event Therapy describes medicine as the operational control of the functions of the human body treated as a network-of-networks, with 1/f-variable crucial events coding the dynamic states of health and disease through information flow within a network and information exchange between biomedical networks. A new way of thinking based on the statistics of Cortical Events is presented and the relevant literature is suitably referenced. This is an ideal book for biophysicists and data scientists seeking to understand the connection of complexity measures for the study of consciousness with the clinical aspects of designing a rehabilitation strategy.

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

Download Fractal Physiology Book in PDF, Epub and Kindle

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

Download Fractal Physiology and Chaos in Medicine Book in PDF, Epub and Kindle

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 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 311
Release 2006-03-30
Genre Mathematics
ISBN 3764374128

Download Fractals in Biology and Medicine Book in PDF, Epub and Kindle

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

Fractals in Biology and Medicine
Title Fractals in Biology and Medicine PDF eBook
Author Theo F. Nonnenmacher
Publisher Birkhäuser
Pages 401
Release 2013-03-07
Genre Science
ISBN 3034885016

Download Fractals in Biology and Medicine Book in PDF, Epub and Kindle

"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.