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Fractal Physology and Chaos in Medicine: 2nd Edition

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ISBN-10: 9814417793

ISBN-13: 9789814417792

Edition: 2012

Authors: Bruce J. West

List price: $64.00
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Description:

The application of fractals and chaos, as well as other concepts from nonlinear dynamics to biomedical phenomena are discussed. The author seeks 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.
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Book details

List price: $64.00
Copyright year: 2012
Publisher: World Scientific Pub Co Inc
Binding: Cloth Text 
Pages: 350
Size: 6.25" wide x 9.25" long x 1.00" tall
Weight: 1.364
Language: English

Preface
Introduction
What is Linearity?
Why Uncertainty?
How Does Nonlinearity Change Our View?
Complex Networks
Summary and a Look Forward
Physiology in Fractal Dimensions
Complexity and the Lung
The Principle of Similitude
Fractals, Self-similarity and Renormalization
Fractal Lungs
Why fractal transport?
Allometry Relations
Empirical Allometry
WBE model
WW model
Fractal Signals
Spectral decomposition
Summary
Dynamics in Fractal Dimensions
Nonlinear Bio-oscillators
Super Central Pattern Generator (SCPG) model of gait
The cardiac oscillator
Strange attractors (deterministic randomness)
Nonlinear Bio-mapping
One-dimensional maps
Two-dimensional maps
The Lyapunov exponent
Measures of Strange Attractors
Correlational dimension
Attractor reconstruction from data
Chaotic attractors and false alarms
Summary and perspective
Statistics in Fractal Dimensions
Complexity and Unpredictability
Scaling Measures
Fractal Stochastic Dynamics
Simple Random Walks
Fractional random walks and scaling
Physical/physiological models
Physiologic Time Series
Heart Rate Variability (HRV)
Breath rate variability (BRV)
Stride rate variability (SRV)
Summary and Viewpoint
Applications of Chaotic Attractors
The Dynamics of Epidemics
Chaotic Neurons
Chemical Chaos
Cardiac Chaos
EEG Data and Brain Dynamics
Normal activity
Epilepsy: reducing the dimension
Task-related scaling
Retrospective
Physiological Networks: The Final Chapter?
Introduction to Complex Networks
A little history
Inverse power laws
The Decision Making Model (DMM)
Topological Complexity
Temporal Complexity
Criticality
Neuronal Avalanches
Multiple Organ Dysfunction Syndrome (MODS)
Finale
References
Index