Fractal Physiology

Fractal Physiology

by James B. Bassingthwaighte, Larry S. Liebovitch, Bruce J. West
     
 

ISBN-10: 0195080130

ISBN-13: 9780195080131

Pub. Date: 01/01/1994

Publisher: Oxford University Press


This volume delineates the use of fractal patterns and measures of fractal dimensions in describing and understanding general aspects of biology, particularly human physiology. After describing the ubiquitous nature of fractal phenomena, the authors give examples of the properties of fractals in space and time. Proceeding from mathematical definitions, they…  See more details below

Overview


This volume delineates the use of fractal patterns and measures of fractal dimensions in describing and understanding general aspects of biology, particularly human physiology. After describing the ubiquitous nature of fractal phenomena, the authors give examples of the properties of fractals in space and time. Proceeding from mathematical definitions, they develop detailed practical methods for assessing the fractal characteristics of wave forms varying with time, tissue density variation, and surface irregularities. Most importantly, the authors show how fractal variation defines internal spatial or temporal correlations within the fractal system or object. Simple, recursively applied rules can give rise to complex biological structures by a variety of methods. This suggests that genetic rules govern the general structuring of an organism, while rules implied by interactions at the biochemical, cellular, and tissue levels govern ontogenic development and therefore play the major role in the growth of an organism. Chaos, or non-linear dynamics, is introduced as a stimulating way to examine biological behavior at the cellular and whole animal levels, even though proof of the chaotic nature of normal physiologic events is as yet meager. The later chapters give sets of examples of structural and behavioral fractal phenomena in nerve and muscle, in the cardiovascular and respiratory systems and in growth processes. Why molecular interactions and complex systems give rise to fractals is explored and related to the ideas of emergent properties of systems operating at high levels of complexity.

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Product Details

ISBN-13:
9780195080131
Publisher:
Oxford University Press
Publication date:
01/01/1994
Series:
Methods in Physiology Series, #2
Pages:
364
Product dimensions:
5.98(w) x 9.02(h) x 0.97(d)

Table of Contents

Pt. IOverview1
1Introduction: Fractals Really Are Everywhere3
Pt. IIProperties of Fractals and Chaos9
2Properties of Fractal Phenomena in Space and Time11
3The Fractal Dimension: Self-Similar and Self-Affine Scaling45
4Fractal Measures of Heterogeneity and Correlation63
5Generating Fractals108
6Properties of Chaotic Phenomena136
7From Time to Topology: Is a Process Driven by Chance or Necessity?147
Pt. IIIPhysiological Applications175
8Ion Channel Kinetics: A Fractal Time Sequence of Conformational States177
9Fractals in Nerve and Muscle210
10Intraorgan Flow Heterogeneities236
11Fractal Growth263
12Mechanisms That Produce Fractals285
13Chaos? in Physiological Systems300
Works Cited328
Index355

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