Fractal Physiology

by Bassingthwaighte, James B.

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Title Statements

Full title :Fractal Physiology / by James B. Bassingthwaighte, Larry S. Liebovitch, Bruce J. West.

Summary

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.

Edition Statements

Publication Date:1994.

Publication Statements

Publisher(s):Springer New York
Place of Publication:New York, NY
Language:eng
Publication Date:1994.

The Physical Object

Description:1 online resource (384 pages)

Edition Identifiers

ISBN:9781461475729, 1461475724
DOI:10.1007/978-1-4614-7572-9
oclc:ocn852791700
LC Classification:QP34-38
Dewey Decimal:612

Introduction: Fractals Really Are Everywhere -- Properties of Fractal Phenomena in Space and Time -- The Fractal Dimension: Self-Similar and Self-Affine Scaling -- Fractal Measures of Heterogeneity and Correlation -- Generating Fractals -- Properties of Chaotic Phenomena -- From Time to Topology: Is a Process Driven by Chance or Necessity? -- Ion Channel Kinetics: A Fractal Time Sequence of Conformational States -- Fractals in Nerve and Muscle -- Intraorgan Flow Heterogeneities -- Fractal Growth -- Mechanisms That Produce Fractals -- Chaos? in Physiological Systems.