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Fractal physiology and chaos in medicine /

This book discusses the application of the concepts of fractals and chaos to biomedical phenomena. In particular, it argues against the outdated notion of homeostasis; using biomedical data sets and modern mathematical concepts, the author attempts to convince the reader that life is at least a home...

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Bibliographic Details
Main Authors: West, Bruce J. (Author)
Corporate Authors: World Scientific (Firm)
Published: World Scientific Pub. Co.,
Publisher Address: Singapore ; Teaneck, N.J. :
Publication Dates: 1990.
Literature type: eBook
Language: English
Series: Studies of nonlinear phenomena in life sciences ; v. 1
Subjects:
Chaotic behavior in systems.
Fractals.
Biological systems > Mathematical models.
Physiology > Mathematical models.
Electronic books.
Online Access: http://www.worldscientific.com/worldscibooks/10.1142/1025#t=toc
Summary: This book discusses the application of the concepts of fractals and chaos to biomedical phenomena. In particular, it argues against the outdated notion of homeostasis; using biomedical data sets and modern mathematical concepts, the author attempts to convince the reader that life is at least a homeodynamic process with multiple states - each being capable of survival. Although relying heavily on the new mathematical ideas, the author has attempted to make the book self-contained. The mathematics is developed in a biological context and mathematical formulation for its own sake is avoided. In this book, the phenomena to be explained motivate the mathematical development rather than the other way round.
Carrier Form: 1 online resource (ix,278pages) : illustrations.
Bibliography: Includes bibliographical references (pages 262-271) and index.
ISBN: 9789814503426
CLC: Q-332
Contents: 1. Introduction. 1.1. What is linearity? 1.2. How do nonlinearities change our view? 1.3. Summary -- 2. Physiology in fractal dimensions. 2.1. The principle of similitude. 2.2. Beyond similitude; self-similarity, fractals and renormalization. 2.3. Self-similar physiological structures. 2.4. Fractal time series. 2.5. Fractal summary -- 3. Dynamics in fractal dimensions. 3.1. Nonlinear bio-oscillator. 3.2. Nonlinear bio-mapping. 3.3. Measures of strange attractors -- 4. Review of some biomedical applications of the reconstruction technique. 4.1. The dynamics of epidemics. 4.2. Chaotic neurons. 4.3. Chemical chaos. 4.4. Cardiac chaos. 4.5. The electroencephalogram data and the reconstruction technique.

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