259.

[Cover] [Abbreviated Contents] [Contents] [Index]

Page xiv

		Bifurcations

		2.4.1 Bifurcation: An Abrupt Shift in Behavior

		176

		2.4.2 Bifurcation Diagrams

		178

		2.4.3 Example of Bifurcations: Theory of Glycolysis

		180

		2.4.4 Example of Bifurcations: Experiments of Glycolysis

		182

		2.4.5 Example of Bifurcation Diagrams: Theory and Experiments of Glycolysis

		184

		2.4.6 Example of Bifurcations: Motor and Sensory Phase Transitions

		186

		2.4.7 Biological Implications of Bifurcations

		188

		Analyzing Data

		2.5.1 Analyzing Data: The Good News

		192

		2.5.2 Example of the Fractal Dimension of the Phase Space Set: Epidemics

		194

		2.5.3 Example of the Fractal Dimension of the Phase Space Set: The Heart

		196

		2.5.4 Example of the Fractal Dimension of the Phase Space Set: The Brain

		198

		2.5.5 Ion Channel Kinetics: Random or Deterministic?

		200

		2.5.6 Ion Channel Kinetics: An Interpretation of the Deterministic Model

		202

		2.5.7 Ion Channel Kinetics: Physical Meaning of the Random and Deterministic Models

		204

		2.5.8 Analyzing Data: The Bad News

		206

		2.5.9 Some of the Problems of the Phase Space Analysis

		208

		2.5.10 Problems: How Much Data?

		210

		2.5.11 Problems: The Lag Dt

		212

		2.5.12 Problems: The Embedding Theorems

		214

		2.5.13 Problems: The Meaning of a Low Dimensional Attractor

		216

		2.5.14 New Methods: Average Direction of the Trajectories

		218

		2.5.15 New Methods: Surrogate Data Set

		220

		2.5.16 Biological Implications of the Strengths and Weakness in Analyzing Data

		222

		Control of Chaos

		2.6.1 The Advantages of Chaos

		226

		2.6.2 Example of Chaotic Control: The Light Output from a Laser

		228

		2.6.3 Example of Chaotic Control: The Motion of a Magnetoelastic Ribbon

		230

		2.6.4 Biological Implications of the Control of Chaos

		232

		2.6.5 Biological Implications of the Control of Chaos (continued)

		234

		Summary

		2.7.1 Summary of Chaos

		238

		2.7.2 Where to Learn More about Chaos

		240

 

[Cover] [Abbreviated Contents] [Contents] [Index]