Fractal Physiology

Etukansi
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.
 

Mitä ihmiset sanovat - Kirjoita arvostelu

LibraryThing Review

Käyttäjän arvio  - raindiva1 - LibraryThing

great text for fractal info. Good examples, explanations, equations Lue koko arvostelu

Sisältö

Fractals Really Are Everywhere
3
Properties of Fractal Phenomena in Space and Time
11
SelfSimilar and SelfAffine Scaling
45
Fractal Measures of Heterogeneity and Correlation
63
Generating Fractals
108
A Fractal Time Sequence
177
Fractals in Nerve and Muscle
210
Works Cited
328
Index
355
Tekijänoikeudet

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Yleiset termit ja lausekkeet

Suositut otteet

Sivu 340 - Decreased heart rate variability and its association with increased mortality after acute myocardial infarction.

Tietoja kirjailijasta (1994)

James B. Bassingthwaighte, Center for Bioengineering, University of Washington. Larry S. Liebovitch, Center for Complex Systems, Florida Atlantic University. Bruce J. West, Department of Physics, University of North Texas.