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Fractal physiology and chaos in medicine /

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. M...

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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 ; Hackensack, N.J. :
Publication Dates: 2013.
Literature type: eBook
Language: English
Edition: Second edition.
Series: Studies of nonlinear phenomena in life science ; . 16
Subjects:
Chaotic behavior in systems.
Fractals.
Physiology > Mathematical models.
Medicine > Mathematical models.
Electronic books.
Online Access: http://www.worldscientific.com/worldscibooks/10.1142/8577#t=toc
Summary: 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.
Carrier Form: 1 online resource (xi,332pages) : illustrations.
Bibliography: Includes bibliographical references (pages 281-311) and index.
ISBN: 9789814417808 (electronic bk.)
CLC: R318.01
Contents: 1. Introduction. 1.1. What is linearity? 1.2. Why uncertainty? 1.3. How does nonlinearity change our view? 1.4. Complex networks. 1.5. Summary and a look forward -- 2. Physiology in fractal dimensions. 2.1. Complexity and the lung. 2.2. The principle of similitude. 2.3. Allometry relations. 2.4. Fractal signals. 2.5. Summary -- 3. Dynamics in fractal dimensions. 3.1. Nonlinear bio-oscillators. 3.2. Nonlinear bio-mapping. 3.3. Measures of strange attractors. 3.4. Summary and perspective -- 4. Statistics in fractal dimensions. 4.1. Complexity and unpredictability. 4.2. Fractal stochastic dynamics. 4.3. Physiologic time series. 4.4. Summary and viewpoint -- 5. Applications of chaotic attractors. 5.1. The dynamics of epidemics. 5.2. Chaotic neurons. 5.3. Chemical chaos. 5.4. Cardiac chaos. 5.5. EEG data and brain dynamics. 5.6 Retrospective -- 6. Physiological networks: the final chapter? 6.1. Introduction to complex networks. 6.2. The decision making model (DMM). 6.3. Criticality. 6.4. Finale.

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