428
Index
L
Laser Doppler flowmetry (or fluximetry),
266, 267, 273, 278, 282, 291–293,
299, 301, 305, 387, 389, 393, 405
Lempel-Ziv complexity, 292, 293, 296–301
Limit cycle, 2, 11–15, 16, 17, 19, 21–25, 32,
34, 35, 38–44, 46, 50, 51, 67, 72, 73,
76, 77, 79, 81, 82, 193, 195, 201, 233,
423
Long-time-asymptotic analysis, 111, 113,
114, 117, 121, 122, 126
Lyapunov exponents, 3, 74, 81, 85, 90, 92,
95, 96, 97, 99, 102, 104, 105, 107,
112, 113, 117, 120, 121, 125, 126,
235, 347, 424
Lyapunov exponents, asymptotic, 3, 95, 96,
99, 101, 102, 105, 107, 112, 113, 118,
121
Lyapunov exponents, finite-time, 92, 107,
117, 120, 121, 125
Lyapunov exponents, instantaneous, 92, 95,
96, 101
M
Machine-learning, 192, 306, 349, 350, 410,
415
Magnetic resonance imaging (MRI), 181,
330–338
Magnetization, 131, 133–135, 138, 142, 144
Malignancy, 5, 246, 251, 254, 255
Mass spectrometry, 234–236
Mathematical model, 1ff, 71ff, 88ff, 112ff,
133ff, 154ff, 163ff, 176ff, 192ff,
211ff, 221fff, 245ff, 264ff, 274ff,
305, 330ff, 346ff, 372ff, 389ff, 401ff,
423
Mean field approximation, 131, 134, 135,
139, 142–145, 148, 180, 185
Membrane oscillator, 264, 265
Microcirculation, 266–268, 273, 274, 278,
293, 298, 299, 305, 385–390, 393,
405
Microvascular blood flow signals, see Laser
Doppler Flowmetry
Microvascular network, see Microcirculation
Mitochondria, 212–214, 218, 225, 229–233,
246, 248, 251
Monte-Carlo simulation, 349, 350
Multiscale analysis, 300–302
Multistability, 352
N
NADH, 146, 147, 211–215, 220, 232, 246,
247, 249, 250, 252
NADH oscillation, 212, 213
Network, 2ff, 29ff, 71ff, 85ff, 163ff, 178ff,
225ff, 265ff, 273ff, 291ff, 329ff,
345ff, 362ff, 373, 385, 423ff
Network, Boolean, 163, 171, 172
Network, neural, see neural network
Neural network, 29, 30, 33, 45, 48, 165, 172,
178, 185, 291, 349
Network properties, 336, 338, 348
Neuromodulation, 346, 351
Neurons, 4, 6, 11, 29, 30, 31, 79, 80, 86, 165,
166, 175, 176, 178–180, 184, 185,
230, 298, 329, 336–338, 345, 347,
351, 352, 362, 363, 366, 367, 372
Neuroscience, 4, 29, 46, 175–185, 335, 380
Noise, 3, 50, 85, 86, 88–90, 98, 99, 103, 107,
113, 114, 117, 136, 138, 145, 191,
204, 205, 233, 236, 297, 312, 323,
333, 407
Noise, bounded, 3, 85, 98, 99, 103, 107
Noise, coloured, 205, 236
Noise, dichotomous, 99
Noise, Gaussian, 98, 118, 119
Noise, observational, 204
Noise, unbounded, 98
Noise, white, 98, 204, 205
Non-autonomous, 1–4, 6, 7, 71, 72, 74–78,
80, 81, 85–92, 97, 99, 111, 113–119,
126, 163–165, 167–173, 229, 401,
403, 423, 424
Non-autonomous Adler equation, 3, 86, 111,
115, 117–119, 126, 122–124
Non-autonomous dynamical system, see
dynamical system, non-autonomous
Non-autonomous oscillator, see oscillator,
non-autinomous
Non-autonomous to autonomous transformations, 163–174
Nonisochronicity parameter, 193
Nonlinear, 1, 2, 6, 11, 12, 14, 25, 34–37, 47,
49, 142, 177, 179, 180, 191, 193, 234,
247, 296, 298, 302, 304–306, 323,
334, 335, 345, 347, 348, 352, 407,
415, 417
Non-stationary, 302, 316, 334, 347, 373, 374
Non-uniform grid, 199
Normal hyperbolicity, 72
O
Obstructive sleep apnoea, 313, 315, 321, 324
Index
L
Laser Doppler flowmetry (or fluximetry),
266, 267, 273, 278, 282, 291–293,
299, 301, 305, 387, 389, 393, 405
Lempel-Ziv complexity, 292, 293, 296–301
Limit cycle, 2, 11–15, 16, 17, 19, 21–25, 32,
34, 35, 38–44, 46, 50, 51, 67, 72, 73,
76, 77, 79, 81, 82, 193, 195, 201, 233,
423
Long-time-asymptotic analysis, 111, 113,
114, 117, 121, 122, 126
Lyapunov exponents, 3, 74, 81, 85, 90, 92,
95, 96, 97, 99, 102, 104, 105, 107,
112, 113, 117, 120, 121, 125, 126,
235, 347, 424
Lyapunov exponents, asymptotic, 3, 95, 96,
99, 101, 102, 105, 107, 112, 113, 118,
121
Lyapunov exponents, finite-time, 92, 107,
117, 120, 121, 125
Lyapunov exponents, instantaneous, 92, 95,
96, 101
M
Machine-learning, 192, 306, 349, 350, 410,
415
Magnetic resonance imaging (MRI), 181,
330–338
Magnetization, 131, 133–135, 138, 142, 144
Malignancy, 5, 246, 251, 254, 255
Mass spectrometry, 234–236
Mathematical model, 1ff, 71ff, 88ff, 112ff,
133ff, 154ff, 163ff, 176ff, 192ff,
211ff, 221fff, 245ff, 264ff, 274ff,
305, 330ff, 346ff, 372ff, 389ff, 401ff,
423
Mean field approximation, 131, 134, 135,
139, 142–145, 148, 180, 185
Membrane oscillator, 264, 265
Microcirculation, 266–268, 273, 274, 278,
293, 298, 299, 305, 385–390, 393,
405
Microvascular blood flow signals, see Laser
Doppler Flowmetry
Microvascular network, see Microcirculation
Mitochondria, 212–214, 218, 225, 229–233,
246, 248, 251
Monte-Carlo simulation, 349, 350
Multiscale analysis, 300–302
Multistability, 352
N
NADH, 146, 147, 211–215, 220, 232, 246,
247, 249, 250, 252
NADH oscillation, 212, 213
Network, 2ff, 29ff, 71ff, 85ff, 163ff, 178ff,
225ff, 265ff, 273ff, 291ff, 329ff,
345ff, 362ff, 373, 385, 423ff
Network, Boolean, 163, 171, 172
Network, neural, see neural network
Neural network, 29, 30, 33, 45, 48, 165, 172,
178, 185, 291, 349
Network properties, 336, 338, 348
Neuromodulation, 346, 351
Neurons, 4, 6, 11, 29, 30, 31, 79, 80, 86, 165,
166, 175, 176, 178–180, 184, 185,
230, 298, 329, 336–338, 345, 347,
351, 352, 362, 363, 366, 367, 372
Neuroscience, 4, 29, 46, 175–185, 335, 380
Noise, 3, 50, 85, 86, 88–90, 98, 99, 103, 107,
113, 114, 117, 136, 138, 145, 191,
204, 205, 233, 236, 297, 312, 323,
333, 407
Noise, bounded, 3, 85, 98, 99, 103, 107
Noise, coloured, 205, 236
Noise, dichotomous, 99
Noise, Gaussian, 98, 118, 119
Noise, observational, 204
Noise, unbounded, 98
Noise, white, 98, 204, 205
Non-autonomous, 1–4, 6, 7, 71, 72, 74–78,
80, 81, 85–92, 97, 99, 111, 113–119,
126, 163–165, 167–173, 229, 401,
403, 423, 424
Non-autonomous Adler equation, 3, 86, 111,
115, 117–119, 126, 122–124
Non-autonomous dynamical system, see
dynamical system, non-autonomous
Non-autonomous oscillator, see oscillator,
non-autinomous
Non-autonomous to autonomous transformations, 163–174
Nonisochronicity parameter, 193
Nonlinear, 1, 2, 6, 11, 12, 14, 25, 34–37, 47,
49, 142, 177, 179, 180, 191, 193, 234,
247, 296, 298, 302, 304–306, 323,
334, 335, 345, 347, 348, 352, 407,
415, 417
Non-stationary, 302, 316, 334, 347, 373, 374
Non-uniform grid, 199
Normal hyperbolicity, 72
O
Obstructive sleep apnoea, 313, 315, 321, 324