Fractals and Chaos Simplified for the Life Sciences

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Page 263
electrocardiogram 196, 197
electroencephalogram 198, 199
electromagnetic radiation 188
embedding 122, 130, 138, 142
embedding dimension 46, 62, 138, 142
embedding theorems 208, 214
energy levels in proteins 22
enzymes 68, 180-185
(also, see proteins)
epidemics 194, 195
epilepsy 198
Esser 67
Essex 211
Evans 197
evolution 92, 94, 100
eye 14, 15, 62, 70
F
failure of the Tacoma Narrows Bridge 202, 203
Falke 19
Family 15
Fano factor 86, 87, 98
Feder 111
Feller 79
fibrillation 196
finger 186, 187
Fourier 220
fractal dimension (see dimension, fractal)
fractal dimension is not equal to the fractal dimension 150, 151
fractals
definition 64
dimension (Part 1, 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
embedding 46, 47, 62
examples 68
fractal 46-58, 64-70
Hausdorff-Besicovitch 47, 52, 53
iterative 47, 60, 61
scaling 58
self-similarity 47-49, 54
topological 46, 60, 64
bibliography 110, 111
biological examples
fractal dimension 68
scaling 41
self-similarity 22
statistical properties 100
biological implications
dimension 70
scaling 42
self-similarity 24
statistical properties 102, 104
introduction (Part 1, Chapter 1) 3-10
properties 8, 108
references, suggested 110, 111
scaling (Part 1, Chapter 3) 27-43
biological implications 42
coastline 32, 33
definition 28
examples 32, 34, 36, 40
from self-similarity 28
ion channel kinetics 36-39
mean 98
membrane area 34, 35
power laws 28, 30
self-similarity (Part 1, Chapter 2) 11-25
airways in the lung 14, 15
biological implications 24, 70
blood vessels in the retina 14, 15
cell motion 16, 17
cell voltage 16, 17

 
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