Index
427
Enzyme, 146, 211, 212, 214–216, 218, 219,
226–228, 230, 232, 233, 246, 247,
253, 254
Epilepsy, 345, 346, 349–352
Epileptic network, 348, 349
External force, 193, 201, 204
F
Fast Fourier transform, 292, 294, 295, 406
Feedback control, 12, 232
Finite-time analysis, 64, 87, 88, 92, 107,
111–127, 408, 423
Finite-time Lyapunov exponent, 92, 107,
117, 120, 121, 125
Finite-width spectrum, 204
Fitzhugh-Nagumo model, 16, 18, 22, 179
Floquet exponent, 13–16, 22
Flowmotion, 5, 261, 263, 266–270, 291, 295,
299, 300, 388, 389
Fluorescence, 212–215, 217, 218, 228, 246
Fourier-components, 36, 37, 200, 201
Fourier transform, 91, 97, 277, 292, 294,
295, 375, 376, 406
Fractal, 72, 204, 225, 234–237, 375, 376
Frequency entrainment, 95, 97
Frequency modulation, 99, 100, 102, 103,
114, 115
Frequency, time-varying, 3, 71, 85, 86, 90,
93, 94, 96, 98–107
Functional brain network, 348
G
Gaussian noise, 98, 118, 119
Generalized polarization function, 217
Generic model, 351
Gilbert Ling, 219, 221
Glucose transporter (GLUT), 251, 252
Glycolysis, 4, 146, 211–220, 232, 247, 249,
251, 254, 255
Glycolytic oscillations, 4, 5, 146, 147, 211,
212, 215, 216, 218–220, 232, 245–
256
Graph theory, brain, 178, 330, 331, 334, 335,
348
H
Haemodynamic state, 296, 298, 301, 304
Harmonic, 33–38, 48, 157, 197, 202
Heart period, 168, 169
Heart rate (or rhythm), 1, 5, 165, 168, 169,
278, 282, 287, 298, 301, 302, 311–
321, 323, 324, 347, 361, 363, 367,
403, 407, 416
Heart rate variability, 1, 287, 298, 314–317,
323, 324, 367, 395
HeLa cells, 248–255
Hemodynamic, see hæmodynamic
Hierarchical aggregation, 71, 77, 82
Hilbert transform, 4, 182, 191–216, 317
Hilbert-transform embedding, 4, 192, 194,
198
Homeodynamics, 219
Homeostasis, 219, 227, 268, 386, 390
I
Information and complexity-based analysis,
296
Instantaneous frequency, 201, 202, 204, 205,
302, 407
Interactions, 4, 25, 29ff, 87ff, 132ff, 175ff,
192, 232, 246ff, 264ff, 278, 287, 302,
311ff, 330ff, 347ff, 361ff, 372ff, 389,
424
Intermittent pneumatic compression, 6, 385–
395
Intermittent synchronisation, 3, 100–102,
105–107
Intracellular pH, 212–214
Intracellular potassium, 215, 221
Intracellular water, 211, 212, 215–219, 221,
232
Ising model, 133–135, 144, 145
Isochron, 13, 14
Isolated physical system, 85–89, 112, 113,
115, 127
Isostable, 13, 14
J
Jacobian matrix, 15, 18, 34, 35, 50, 140, 163,
170
K
Kernel, 32, 80, 202
Kernel-density fit, 202
Koopman operator approach, 14, 17, 25
Kuramoto model, 31, 33, 34, 37, 41–46, 49–
51, 86, 87, 115, 136, 146, 147, 177,
184, 185, 248, 249, 334, 335
427
Enzyme, 146, 211, 212, 214–216, 218, 219,
226–228, 230, 232, 233, 246, 247,
253, 254
Epilepsy, 345, 346, 349–352
Epileptic network, 348, 349
External force, 193, 201, 204
F
Fast Fourier transform, 292, 294, 295, 406
Feedback control, 12, 232
Finite-time analysis, 64, 87, 88, 92, 107,
111–127, 408, 423
Finite-time Lyapunov exponent, 92, 107,
117, 120, 121, 125
Finite-width spectrum, 204
Fitzhugh-Nagumo model, 16, 18, 22, 179
Floquet exponent, 13–16, 22
Flowmotion, 5, 261, 263, 266–270, 291, 295,
299, 300, 388, 389
Fluorescence, 212–215, 217, 218, 228, 246
Fourier-components, 36, 37, 200, 201
Fourier transform, 91, 97, 277, 292, 294,
295, 375, 376, 406
Fractal, 72, 204, 225, 234–237, 375, 376
Frequency entrainment, 95, 97
Frequency modulation, 99, 100, 102, 103,
114, 115
Frequency, time-varying, 3, 71, 85, 86, 90,
93, 94, 96, 98–107
Functional brain network, 348
G
Gaussian noise, 98, 118, 119
Generalized polarization function, 217
Generic model, 351
Gilbert Ling, 219, 221
Glucose transporter (GLUT), 251, 252
Glycolysis, 4, 146, 211–220, 232, 247, 249,
251, 254, 255
Glycolytic oscillations, 4, 5, 146, 147, 211,
212, 215, 216, 218–220, 232, 245–
256
Graph theory, brain, 178, 330, 331, 334, 335,
348
H
Haemodynamic state, 296, 298, 301, 304
Harmonic, 33–38, 48, 157, 197, 202
Heart period, 168, 169
Heart rate (or rhythm), 1, 5, 165, 168, 169,
278, 282, 287, 298, 301, 302, 311–
321, 323, 324, 347, 361, 363, 367,
403, 407, 416
Heart rate variability, 1, 287, 298, 314–317,
323, 324, 367, 395
HeLa cells, 248–255
Hemodynamic, see hæmodynamic
Hierarchical aggregation, 71, 77, 82
Hilbert transform, 4, 182, 191–216, 317
Hilbert-transform embedding, 4, 192, 194,
198
Homeodynamics, 219
Homeostasis, 219, 227, 268, 386, 390
I
Information and complexity-based analysis,
296
Instantaneous frequency, 201, 202, 204, 205,
302, 407
Interactions, 4, 25, 29ff, 87ff, 132ff, 175ff,
192, 232, 246ff, 264ff, 278, 287, 302,
311ff, 330ff, 347ff, 361ff, 372ff, 389,
424
Intermittent pneumatic compression, 6, 385–
395
Intermittent synchronisation, 3, 100–102,
105–107
Intracellular pH, 212–214
Intracellular potassium, 215, 221
Intracellular water, 211, 212, 215–219, 221,
232
Ising model, 133–135, 144, 145
Isochron, 13, 14
Isolated physical system, 85–89, 112, 113,
115, 127
Isostable, 13, 14
J
Jacobian matrix, 15, 18, 34, 35, 50, 140, 163,
170
K
Kernel, 32, 80, 202
Kernel-density fit, 202
Koopman operator approach, 14, 17, 25
Kuramoto model, 31, 33, 34, 37, 41–46, 49–
51, 86, 87, 115, 136, 146, 147, 177,
184, 185, 248, 249, 334, 335