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[Cover] [Abbreviated Contents] [Contents] [Index]
Page xi
CONTENTS
Part I
Fractals
Introduction
1.1.1 The Difference between Non-Fractal and Fractal Objects
4
1.1.2 The Sizes of the Features of Non-Fractal and Fractal Objects
6
1.1.3 The Properties of Fractals
8
Self-Similarity
1.2.1 Two Types of Self-Similarity
12
1.2.2 Examples of Self-Similarity in Space
14
1.2.3 Examples of Self-Similarity in Time
16
1.2.4 he Currents through Ion Channels Are Self-Similar in Time
18
1.2.5 The Open and Closed Times of Ion Channels Are Statistically Self-Similar
20
1.2.6 More Examples of Self-Similarity
22
1.2.7 Biological Implications of Self-Similarity
24
Scaling
1.3.1 Self-Similarity Implies a Scaling Relationship
28
1.3.2 Scaling Relationships
30
1.3.3 Example of a Power Law Scaling of a Spatial Object: The Length of the Coastline of Britain
32
1.3.4 Examples of Power Law Scalings of Spatial Objects: The Surfaces of Cell Membranes
34
1.3.5 Example of a Power Law Scaling of a Process in Time: Ion Channel Kinetics
36
1.3.6 The Physical Significance of the Scaling Relationship of Ion Channel Kinetics
38
1.3.7 More Examples of Scaling Relationships
40
1.3.8 Biological Implications of Scaling Relationships
42
[Cover] [Abbreviated Contents] [Contents] [Index]
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Fractals and Chaos Simplified for the Life Sciences
ISBN: 0195120248
EAN: 2147483647
Year: 2005
Pages: 261
Authors:
Larry S. Liebovitch
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