166.

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

Page 262

		dimension 46

		fractal 64

		phase space 130

		scaling 28

		self-similarity 12

		sensitivity to initial conditions 162

		statistical properties of fractals 74

		strange 168

		Delbruck 93

		Destexhe 197, 199

		deterministic

		but not predictable 162-165

		mechanisms 116-126

		phase space 122, 126, 136, 148

		vs. random 116-119, 122, 126, 136, 142, 148, 152, 188, 192

		ion channels 200-205

		problems with the analysis 206-217, 222

		surrogate data sets 220-221

		vectors in phase space 218, 219

		Diamond 197

		diffusion limited aggregation (DLA) 70, 80, 81

		dimension (Part I, Chapter 4) 45-71

		biological implications 70

		blood vessels in the lungs 66, 67

		box counting 56, 57

		capacity 47, 50-52, 56

		covering 47, 60, 61

		definition 46

		deterministic mechanism 122, 126, 136, 142, 148

		embedding 46, 62, 138, 142

		examples 68

		fractal

		biological fractals 66-69

		biological chaos 140, 141, 146, 194-199

		definition 64, 65

		phase space 122, 126, 134,-137, 142, 148, 150, 168

		types 46-59

		Hausdorff-Besicovitch 47, 52, 53

		iterative 47, 60, 61

		logistic equation 122, 123, 127, 134-137

		Lorenz equations 134, 135, 158

		not equal to the dimension 150, 151

		number of independent variables 134

		phase space 122, 126, 136, 138, 142, 148

		problems with the phase space analysis 206-217, 222

		random mechanism 122, 126, 136, 142, 148, 150, 168, 194-199, 210-217, 222

		scaling 58

		self-similarity 47-49, 54

		topological 46, 47, 60, 61, 64

		Ding 211

		distributions

		fractal 70, 84, 102, 104

		Gaussian 70, 84, 86, 102, 104

		Poisson 86

		probability density function (pdf) 12, 20, 21

		pulse number 84-87

		stable 70, 102, 104

		Ditto 231

		DNA 100

		dynamical systems 124, 240

		E

		ear 84-87, 140, 141

		Edgar 111

		Eldred 15

 

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