| | | | | 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 | | | | | | | | | 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 | | | | |