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Nicolis G., Prigogine I. — Self-organization in nonequilibrium systems |
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Предметный указатель |
-Galactosidase see “Induction of
Acetabularia 425
Activation 165 357 418
Active transport 413
Adenyl cyclase 379
ADP 355 360
ADP oscillatory behavior 369 379
Affinity 33 213 444
Allosteric constant 363
Arc discontinuity 403
ATP 355 360 379
ATP and adenylic energy charge 385
ATP oscillatory behavior 369 379
Belousov — Zhabotinski reaction 339
Belousov — Zhabotinski reaction, mathematical model 345
Belousov — Zhabotinski reaction, mechanism 343
Bendixson negative criterion 88 3
Bifurcation 71 83
Bifurcation diagram 111 113 121 124
Bifurcation eigenvalue, at simple 86
Bifurcation of steady-state solutions 106 109 113 120 180
Bifurcation of time-periodic solutions 140
Bifurcation of waves 153 185
Bifurcation secondary 120 192
Boolean nets 211
boundary conditions 29 64
Briggs — Rauscher reaction 352
Brusselator 93
Brusselator as closed system 156
Brusselator bifurcation analysis 106 140 153
Brusselator stability analysis 96
cAMP 379
cAMP and catabolite repression 389
cAMP and relay 381
cAMP oscillatory behavior, in Dictyostelium 379 380
Catalysis 90 93 165 169
Catalysis heterogeneous 197
Catastrophe theory 74
Catastrophe theory and all-or-none transitions 174
Cell sorting 415
Cellular contacts 414
Center 82
Central limit theorem 227
Chain reactions 465
Chapman sequence see “Ozone”
Chapman — Kolmogorov equation 230
Characteristic equation 77
Characteristic equation for Brusselator 98
chemical potential 33
Chemical reactors 168 382
Chemotaxis 379
Circadian rhythms 195 386
Competition 429 449
Conflict 176
Conservation equations 27 63
Constant of motion 161 284
Correlations 297
Correlations long range 305 307
Critical exponents 115 309 323 326
Curie symmetry principle 40
Cusp 176
Detailed balance 41 330
Diffusion 46
Diffusion and Fick's law 48
Diffusion and positional information 410 415
Dissipative structures 60
Dissipative structures and polarity, onset of 415
Dissipative structures bifurcation analysis of 106 140 153
Dissipative structures in two dimensions 178
Dissipative structures localized 131
Dissipative structures multiplicity of 127
Dissipative structures qualitative properties of 115
Dissipative structures thermodynamic properties of 212
Distribution, binomial 226
Distribution, binomial, Gaussian 227 235
Distribution, binomial, Poisson 226 235 260
Ecosystems, basic equations 449
Ecosystems, evolution of 455
Eigenvalue 84
Eigenvalue multiple 85 121
Eigenvalue of Laplace operator 98 178
Elliptic functions 465
Entrainment 195 414
entropy 22 32 55 212
Entropy balance equation 33
Entropy excess 56
Entropy flow 24 34
Entropy production 24 34 212 443
Enzyme, allosteric 357
Enzyme, allosteric Michaelian 167
Escherichia coli 387
Evolution criterion 50
Evolution criterion and kinetic potential 51
Evolution, and structural stability 438
Evolution, prebiotic 429
Evolutionary feedback 441 445
Excitability 173 401
Floquet theory 206
Fluctuations 223
Fluctuations and Einstein formula 234
Fluctuations around equilibrium 232
Fluctuations circulation of 271
Fluctuations in Brusselator 289 319
Fluctuations in finite volumes 310
Fluctuations in Lotka — Volterra model 264
Fluctuations in nonlinear model 261
Fluctuations in unimolecular reactions 257
Fluctuations molecular dynamics study of 283
Fluxes, generalized 35
Focus 82
Fokker — Planck equation 243
Forces, generalized 35
Fredholm alternative 108 143
Fusion, cellular 403
Generating function, cumulant- 251 266 320
Generating function, moment- 249
Gibbs formula 33
Glucose-oxidase 382
Glycolysis 354
Glycolysis allosteric model of 358
Glycolysis and adenylic energy charge 385
Glycolysis external disturbances, effect of 371
Glycolysis oscillatory behavior 356 369
Glycolysis spatio-temporal patterns 375
Hamilton — Jacobi equation 248
Heat-shock 404
Hopf bifurcation 141
Hydra 425
| Hypercycles 436
Immune networks 468
Immune surveillance 469
Induction, all-or-none transitions 389
Induction, of -galactosidase 388
Induction, oscillatory behavior 395
Inhibition 166 418
Insects, division of labor in 459
Insects, social organization in 453
Instability see “Dissipative structures; Stability; and Symmetry-breaking”
K-V system 360
Lac operon 388
Landau — Ginzburg potential 117
Langevin equation 247
Large numbers, law of 227
Length, critical 151
Length, in allosteric model, for glycolysis 378
Leray — Schauder theorem 85
Limit cycles 87
Limit cycles in Belousov — Zhabotinski reaction 340
Limit cycles in Brusselator 140
Limit cycles in glycolysis 369
Limit cycles in lac operon regulation 394
Limit cycles in mitosis 404
Limit cycles models of 165
Limit cycles multiple 350 401
Lotka — Volterra model 160
Markov process 229
Master equation 231
Master equation for birth and death process 239
Master equation in phase space 275
Master equation multivariate 285
Master equation nonlinear 317
Maxwell rule 176 211
Membrane-bound enzymes 382
Metastability 327 462
Minimum entropy production 42
Mitotic oscillator 402
Mitotic oscillator mathematical model of 405
moment see “Probability distribution”
Morphogenesis 409
Neural networks 467
Node 79
Nonexclusive binding coefficient 364
Normal mode 78
Normal mode in Brusselator 103
Nucleation 312 323 331 462
Onsager reciprocity relations 40
Open systems 24 26
Order parameter 116 322 326
Oregonator 345
Organizer, embryonic 413
Oscillations, conservative see also “Limit cycles” 160
Oscillations, epigenetic 387
Oscillations, in trimolecular model 140
Oscillations, metabolic 354
Oscillations, past an instability 87
Oscillations, periodic, almost 196
oscillators 195
Oscillators asymptotic behavior of 203
Oscillators coupled through diffusion 147
Ozone 201
Papain 382
Pattern see “Morphogenesis; Symmetry-breaking”
Permease 388
Phase-shift 371 415
Phase-singularity 197
Phenomenological relations 36 39 49
Phosphodiesterase 381
Phosphofructokinase 357 446
Phosphofructokinase mathematical model, of the reaction 358
Photochemical reactions 200
Physarum polycephalum 402
Polarity 104
Polarity in morphogenesis 415
Polymer, prebiotic 430 434
Positional differentiation 421
Positional information 410 413
Potential, kinetic 51 75
Potential, thermodynamic 43 233 236
probability distribution 224
Probability distribution moments of 225 252
Pyrophosphohydrolase 379
Pyruvate kinase 357 446
Reaction-diffusion equations 27 64
Refractory period 371 414
Repression 388 394 422
Riemann — Hugoniot catastrophe 177
Saddle point 81
Separatrix 82 88 399
Singular points, multiple 83
Singular points, multiple simple 79
Size invariance 411 421
Solvability condition see “Fredholm alternative”
Stability 46 55 63
Stability and complexity 462
Stability asymptotic 65
Stability linearized 71
Stability Lyapounov 65
Stability marginal 79 86
Stability orbital 66
Stability structural 68
Stability thermodynamic criterion of 59
Steady states 41
Steady states multiple 169 391
Stochastic differential equations 247
Stoichiometric coefficient 28 240
Symmetry-breaking 115 415
Synchronization 147 195 402
Thermodynamic branch 57
Transition probabilities 228 230
Transition probabilities for birth and death process 240
Transition probabilities for diffusion 287 315
Trimolecular model see “Brusselator”
Turning points 134
Turnover numbers 364
Urban growth 473
Urease 382
van der Waals theory 173 329
Variance 225
Variance divergence of 271 292 324
wave number 98
Wave, and formation, of surfaces of discontinuity 207
Wave, in allosteric model, of glycolysis 376
Wave, in Belousov — Zhabotinski reaction 341 351
Wave, in Brusselator 149 153 185
Wave, kinematic 147
Wave, rotating 186
Wave, trigger 147
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