Index
429
Onsager, Lars, 220
Open system. See also Thermodynamic
system, open
Optical reflectance spectroscopy, 389
Optimal entrainment, 2, 11, 19, 20, 23, 25
Order parameter, 3, 33, 41–44, 46, 50, 51,
131, 133, 134, 139, 141, 142, 144,
146, 147, 249
Oscillating spot, 16, 18, 19, 21–23
Oscillation, 1ff, 11ff, 29ff, 136ff, 153ff,
165ff, 176ff, 192ff, 211ff, 225ff,
245ff, 261ff, 273ff, 281ff, 293ff, 311,
345, 361ff, 371ff, 385ff, 401ff, 424
Oscillation of Ca 2+ concentration, 230, 264,
265
Oscillation of membrane potential, 181,
212–214, 233, 264, 265
Oscillator, 1ff, 11ff, 29, 29ff, 31, 32, 34,
39, 41, 71, 71ff, 75, 77, 78, 85–87,
85ff, 94–107, 113, 113ff, 131, 131ff,
135–138, 143–146, 153ff, 171, 175ff,
191ff, 192, 193, 212ff, 225ff, 245ff,
263ff, 278, 291ff, 311ff, 335, 347,
368, 373, 385ff, 401ff, 423
Oscillator, autonomous, 76, 193
Oscillator, non-autonomous, 2, 71, 75, 77,
78, 86, 423
Oscillator, Stuart-Landau, 192, 193
Oscillators, coupled, 3, 6, 12, 15, 19, 25, 29,
31, 32, 34, 39–41, 85, 86, 93, 94, 107,
115, 131, 135–137, 145–147, 153,
176–178, 180–182, 184, 215, 230,
244, 298, 319, 402, 407, 423
Oscillators, synchronizing, 4, 225, 229, 233,
263, 264
Oscillators, vascular, 387
Oscillatory pattern, 2, 11, 12, 16, 19–21, 25,
278
Oxygen consumption, 225, 268
P
Pendulum, 1, 163–165, 170, 171, 320
Periodic driving (or periodic forcing), 2–
4, 11, 19, 20–25, 65, 67, 73–76,
80–82, 94–107, 111, 113–115, 122–
125, 127, 163, 170–173, 193, 197,
201–203, 269
Personalized medicine, 350
Phase, 1ff, 11ff, 29ff, 71ff, 86ff, 111ff, 131ff,
156, 167ff, 176ff, 193ff, 214ff, 225ff,
249, 262ff, 278, 281ff, 302ff, 316ff,
348ff, 371, 401ff, 424
Phase-amplitude mixing, 192, 196
Phase-amplitude reduction, 2, 11, 12, 15, 16,
40, 48
Phase coherence, 1, 5, 7, 51, 281, 282, 284–
288, 302, 367, 368, 401, 407, 408,
414, 415
Phase coupling function, 20, 21, 23, 114,
176, 182, 183, 185
Phase difference, 19, 23, 24, 32, 43, 73, 94–
96, 98–101, 106, 115, 177, 184, 284,
302, 407, 408, 424
Phase dynamics, 2–4, 22, 29–33, 36, 39, 40,
43, 47, 51, 111, 114, 126, 127, 176,
177, 181, 192–195, 205
Phase dynamics reconstruction, 192, 195,
205
Phase equation, 2, 11, 12, 19, 22
Phase function, 12–14
Phase functional, 16
Phase locking, 71, 74, 75, 78, 95, 98, 181
Phase modulation, 194, 195–197, 201
Phase oscillator, 29, 45, 49, 93, 94, 106, 113,
115, 123, 126, 181, 182, 184
Phase reduction, 2, 11, 12, 16, 25, 29–40, 44,
48–50, 86, 177, 193
Phase response curve, 180, 191, 192, 202,
203
Phase sensitivity function, 13, 14, 18, 21
Phase slip, 98
Phase synchronization, 29, 30, 39, 42, 44,
46, 50, 319–321, 368, 407
Phase transition, 3, 131–136, 138–148, 217,
352
Phosphofructokinase (PFK), 212, 246, 247,
251, 252
Plasticity, 331, 352
Post occlusive reactive hyperaemia, 293
Power spectral density, 277, 278, 292, 295,
374, 378
Propofol, 182, 183, 361, 365–368, 372–375,
377–379
Prostate cancer, 4, 245, 246, 250, 251, 254,
255
Protophase-to-phase transformation, 182,
191, 196, 200, 201, 205
R
Reaction-diffusion system, 2, 11, 12, 15
Receptors, 168, 169, 230, 231, 281, 321, 362,
372, 374
Respiration, 1ff, 86, 165ff, 176, 211ff, 225ff,
250, 278, 281ff, 294ff, 311ff, 361ff,
386ff, 401ff
429
Onsager, Lars, 220
Open system. See also Thermodynamic
system, open
Optical reflectance spectroscopy, 389
Optimal entrainment, 2, 11, 19, 20, 23, 25
Order parameter, 3, 33, 41–44, 46, 50, 51,
131, 133, 134, 139, 141, 142, 144,
146, 147, 249
Oscillating spot, 16, 18, 19, 21–23
Oscillation, 1ff, 11ff, 29ff, 136ff, 153ff,
165ff, 176ff, 192ff, 211ff, 225ff,
245ff, 261ff, 273ff, 281ff, 293ff, 311,
345, 361ff, 371ff, 385ff, 401ff, 424
Oscillation of Ca 2+ concentration, 230, 264,
265
Oscillation of membrane potential, 181,
212–214, 233, 264, 265
Oscillator, 1ff, 11ff, 29, 29ff, 31, 32, 34,
39, 41, 71, 71ff, 75, 77, 78, 85–87,
85ff, 94–107, 113, 113ff, 131, 131ff,
135–138, 143–146, 153ff, 171, 175ff,
191ff, 192, 193, 212ff, 225ff, 245ff,
263ff, 278, 291ff, 311ff, 335, 347,
368, 373, 385ff, 401ff, 423
Oscillator, autonomous, 76, 193
Oscillator, non-autonomous, 2, 71, 75, 77,
78, 86, 423
Oscillator, Stuart-Landau, 192, 193
Oscillators, coupled, 3, 6, 12, 15, 19, 25, 29,
31, 32, 34, 39–41, 85, 86, 93, 94, 107,
115, 131, 135–137, 145–147, 153,
176–178, 180–182, 184, 215, 230,
244, 298, 319, 402, 407, 423
Oscillators, synchronizing, 4, 225, 229, 233,
263, 264
Oscillators, vascular, 387
Oscillatory pattern, 2, 11, 12, 16, 19–21, 25,
278
Oxygen consumption, 225, 268
P
Pendulum, 1, 163–165, 170, 171, 320
Periodic driving (or periodic forcing), 2–
4, 11, 19, 20–25, 65, 67, 73–76,
80–82, 94–107, 111, 113–115, 122–
125, 127, 163, 170–173, 193, 197,
201–203, 269
Personalized medicine, 350
Phase, 1ff, 11ff, 29ff, 71ff, 86ff, 111ff, 131ff,
156, 167ff, 176ff, 193ff, 214ff, 225ff,
249, 262ff, 278, 281ff, 302ff, 316ff,
348ff, 371, 401ff, 424
Phase-amplitude mixing, 192, 196
Phase-amplitude reduction, 2, 11, 12, 15, 16,
40, 48
Phase coherence, 1, 5, 7, 51, 281, 282, 284–
288, 302, 367, 368, 401, 407, 408,
414, 415
Phase coupling function, 20, 21, 23, 114,
176, 182, 183, 185
Phase difference, 19, 23, 24, 32, 43, 73, 94–
96, 98–101, 106, 115, 177, 184, 284,
302, 407, 408, 424
Phase dynamics, 2–4, 22, 29–33, 36, 39, 40,
43, 47, 51, 111, 114, 126, 127, 176,
177, 181, 192–195, 205
Phase dynamics reconstruction, 192, 195,
205
Phase equation, 2, 11, 12, 19, 22
Phase function, 12–14
Phase functional, 16
Phase locking, 71, 74, 75, 78, 95, 98, 181
Phase modulation, 194, 195–197, 201
Phase oscillator, 29, 45, 49, 93, 94, 106, 113,
115, 123, 126, 181, 182, 184
Phase reduction, 2, 11, 12, 16, 25, 29–40, 44,
48–50, 86, 177, 193
Phase response curve, 180, 191, 192, 202,
203
Phase sensitivity function, 13, 14, 18, 21
Phase slip, 98
Phase synchronization, 29, 30, 39, 42, 44,
46, 50, 319–321, 368, 407
Phase transition, 3, 131–136, 138–148, 217,
352
Phosphofructokinase (PFK), 212, 246, 247,
251, 252
Plasticity, 331, 352
Post occlusive reactive hyperaemia, 293
Power spectral density, 277, 278, 292, 295,
374, 378
Propofol, 182, 183, 361, 365–368, 372–375,
377–379
Prostate cancer, 4, 245, 246, 250, 251, 254,
255
Protophase-to-phase transformation, 182,
191, 196, 200, 201, 205
R
Reaction-diffusion system, 2, 11, 12, 15
Receptors, 168, 169, 230, 231, 281, 321, 362,
372, 374
Respiration, 1ff, 86, 165ff, 176, 211ff, 225ff,
250, 278, 281ff, 294ff, 311ff, 361ff,
386ff, 401ff