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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]