Fractals and Chaos Simplified for the Life Sciences

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

Page 260
(see chaos, references, suggested)
Boston, MA 130
box counting dimension 56, 57
Boxt 67
brain 198
breaths 22, 90, 91, 100
Britain 32, 33, 58
Brown 83
Bunde 249
butterfly effect 126
C
Cairns 93
calculus 206
cancer 104
capacity dimension 47, 50-52, 56
capillaries 68
Cargill 97
Caserta 15
Cauchy 206
cell cycle 104
cells
auditory 84-87, 140, 141
cancer 104
cultured 14-17, 22, 144-147
cycle time 104
heart 144-147
membrane 22, 34, 35, 40, 68
motion 16, 17, 22, 140, 141
nerve 14, 15, 22, 68, 84-87, 100
T-lymphocytes 16, 17, 100
vestibular 86, 87
voltage 16, 17, 22, 84-87, 144-147
cellular automata 248, 249
central limit theorem 86
chaos
analyzing data (Part 2, Chapter 5) 191-223
bad news 206, 222
biological implications 222
good news 192, 222
definition 118, 124, 168
bibliography 240, 241
bifurcations (Part 2, Chapter 4) 175-189
bifurcation diagram 178
biological implications 188
definition 176
deterministic vs. random mechanisms 188
glycolysis 180-185
logistic equation 176-179
motor and sensory phase transitions 186, 187
period doubling 184
biological examples 140-141, 144-147, 180-187, 194-205
biological implications
analyzing data 222
bifurcations 188
control of chaos 232, 234
motor phase transitions 186, 187
phase space 152
sensitivity to initial conditions 172
sensory phase transitions 186
control of chaos (Part 2, Chapter 6) 225-235
biological implications 232-5
definition 226
magnetoelastic ribbon 230
laser 228, 229
deterministic vs. random bifurcations 188, 192
ion channels 200-205
new methods 218-221
number of independent variables 124, 134-137
phase space 134-137, 192
vectors 218, 219
problems with the analysis 206-217, 222
surrogate data sets 220, 221

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