Oscillations and synchrony in large-scale cortical network models

Journal of Biological Physics

Volumn 34, Issue 3-4 SPEC. ISS., 2008, Pages 279-299

  Rulkov, Nikolai F ^a   Bazhenov, Maxim ^b  

^a UNIVERSITY OF CALIFORNIA   (United States)

^b SALK INSTITUTE FOR BIOLOGICAL STUDIES   (United States)

Author keywords

Cortical network; Gamma oscillations; Large scale model; Neuron

Indexed keywords

ARTICLE; BEHAVIOR; BRAIN NERVE CELL; CELL TYPE; HUMAN; INTERNEURON; OSCILLATION; PARAMETER; PRIORITY JOURNAL; SIMULATION; TEMPORAL CORTEX;

EID: 56749116168     PISSN: 00920606     EISSN: None     Source Type: Journal    
DOI: 10.1007/s10867-008-9079-y     Document Type: Article

References (51)

1. A.L. Hodgkin A.F. Huxley 1952 A quantitative description of membrane current and its application to conduction and excitation in nerve J. Physiol. (Lond.) 117 500 544
2. M. Bazhenov I. Timofeev M. Steriade T.J. Sejnowski 2002 Model of thalamocortical slow-wave sleep oscillations and transitions to activated states J. Neurosci. 22 8691 8704
3. D. Golomb 1998 Models of neuronal transient synchrony during propagation of activity through neocortical circuitry J. Neurophysiol. 79 1 12
4. D. Golomb Y. Amitai 1997 Propagating neuronal discharges in neocortical slices: computational and experimental study J. Neurophysiol. 78 1199 1211
5. A.R. Houweling M. Bazhenov I. Timofeev F. Grenier M. Steriade T.J. Sejnowski 2002 Frequency-selective augmenting responses by short-term synaptic depression in cat neocortex J. Physiol. 542 599 617
6. Z.F. Mainen T.J. Sejnowski 1996 Influence of dendritic structure on firing pattern in model neocortical neurons Nature 382 363 366
7. M. Bazhenov I. Timofeev M. Steriade T. Sejnowski 2000 Patterns of spiking-bursting activity in the thalamic reticular nucleus initiate sequences of spindle oscillations in thalamic network J. Neurophysiol. 84 1076 1087
8. M. Bazhenov I. Timofeev M. Steriade T.J. Sejnowski 1998 Computational models of thalamocortical augmenting responses J. Neurosci. 18 6444 6465
9. A. Destexhe T. Bal D.A. McCormick T.J. Sejnowski 1996 Ionic mechanisms underlying synchronized and propagating waves in a model of ferret thalamic slices J. Neurophysiol. 76 2049 2070
10. M. Bazhenov I. Timofeev M. Steriade T.J. Sejnowski 1999 Self-sustained rhythmic activity in the thalamic reticular nucleus mediated by depolarizing GABAA receptor potentials Nat. Neurosci. 2 168 174
11. A. Destexhe D. Contreras T.J. Sejnowski M. Steriade 1994 A model of spindle rhythmicity in the isolated thalamic reticular nucleus J. Neurophysiol. 72 803 818
12. D. Golomb X.-J. Wang J. Rinzel 1996 Propagation of spindle waves in a thalamic slice model J. Neurophysiol. 75 750 769
13. R.D. Traub J.G. Jefferys M.A. Whittington 1997 Simulation of gamma rhythms in networks of interneurons and pyramidal cells J. Comput. Neurosci. 4 141 150
14. R.D. Traub M.A. Whittington S.B. Colling G. Buzsaki J.G. Jefferys 1996 Analysis of gamma rhythms in the rat hippocampus in vitro and in vivo J. Physiol. 493 Pt. 2 471 484
15. M. Bazhenov M. Stopfer M. Rabinovich H.D. Abarbanel T.J. Sejnowski G. Laurent 2001 Model of cellular and network mechanisms for odor-evoked temporal patterning in the locust antennal lobe Neuron 30 569 581
16. M. Bazhenov M. Stopfer M. Rabinovich R. Huerta H.D. Abarbanel T.J. Sejnowski G. Laurent 2001 Model of transient oscillatory synchronization in the locust antennal lobe Neuron 30 553 567
17. B.W. Knight 1972 Dynamics of encoding in a population of neurons J. Gen. Physiol. 59 734 766
18. R.B. Stein 1967 The frequency of nerve action potentials generated by applied currents Proc. R. Soc. Lond., B Biol. Sci. 167 64 86
19. Tuckwell, H.C.: Introduction to Theoretical Neurobiology, vol. 2. Nonlinear and Stochastic Theories. Cambridge University Press, Cambridge (1988)
20. A.R. Casti A. Omurtag A. Sornborger E. Kaplan B. Knight J. Victor L. Sirovich 2002 A population study of integrate-and-fire-or-burst neurons Neural Comput. 14 957 986
21. G.D. Smith C.L. Cox S.M. Sherman J. Rinzel 2000 Fourier analysis of sinusoidally driven thalamocortical relay neurons and a minimal integrate-and-fire-or-burst model J. Neurophysiol. 83 588 610
22. E.M. Izhikevich 2003 Simple model of spiking neurons IEEE Trans. Neural Netw. 14 1569 1572
23. N.F. Rulkov I. Timofeev M. Bazhenov 2004 Oscillations in large-scale cortical networks: map-based model J. Comput. Neurosci. 17 203
24. N.F. Rulkov 2002 Modeling of spiking-bursting neural behavior using two-dimensional map Phys. Rev. E 65 041922
25. M. Bazhenov N.F. Rulkov J.M. Fellous I. Timofeev 2005 Role of network dynamics in shaping spike timing reliability Phys. Rev. E 72 041903
26. A.L. Shilnikov N.F. Rulkov 2003 Origin of chaos in a two-dimensional map modeling spiking-bursting neural activity Int. J. Bifurc. Chaos 13 3325
27. Kuznetsov, Y.A.: Elements of Applied Bifurcation Theory, 3rd edn. Springer, New York (2004)
28. Rinzel, J., Ermentrout, B.: Analysis of neural excitability and oscillations. In: Koch, C., Segev, I. (eds.) Methods in Neural Modeling. From Ions to Networks. MIT, Cambridge (1998)
29. R.C. Elson A.I. Selverston R. Huerta N.F. Rulkov M.I. Rabinovich H.D.I. Abarbanel 1998 Synchronous behavior of two coupled biological neurons Phys. Rev. Lett. 81 5692
30. A.I. Selverston 1974 Structural and functional basis of motor pattern generation in the stomatogastric ganglion of the lobster Am. Zool. 14 957
31. Protopapas, A.D., Vanier, M., Bower, J.M.: Simulating of lagre networks of neurons. In: Koch, Ch., Segev, I. (eds.) Methods in Neuronal Modeling: from Ions to Networks, p. 461. MIT, Cambridge (1998)
32. A. Bacci U. Rudolph J.R. Huguenard D.A. Prince 2003 Major differences in inhibitory synaptic transmission onto two neocortical interneuron subclasses J. Neurosci. 23 29 9664 9674
33. D.A. McCormick H.C. Pape 1990 Properties of a hyperpolarization-activated cation current and its role in rhythmic oscillation in thalamic relay neurones J. Physiol. 431 291 318
34. A. Nuñez F. Amzica M. Steriade 1993 Electrophysiology of cat association cortical cells in vitro: intrinsic properies and synaptic responses J. Neurophysiol. 70 418 430
35. Timofeev, I., Bazhenov, M.: In: Columbus, F. (ed.) Trends in Chronobiology Research, pp. 1-47. Nova, Commack (2005)
36. J.M. Fellous A.R. Houweling R.H. Modi R.P. Rao P.H. Tiesinga T.J. Sejnowski 2001 Frequency dependence of spike timing reliability in cortical pyramidal cells and interneurons J. Neurophysiol. 85 1782 1787
37. S. Schreiber J.M. Fellous P. Tiesinga T.J. Sejnowski 2004 Influence of ionic conductances on spike timing reliability of cortical neurons for suprathreshold rhythmic inputs J. Neurophysiol. 91 194 205
38. A. Rougeul-Buser J.J. Bouyer P. Buser 1975 From attentiveness to sleep. A topographical analysis of localized "synchronized" activities on the cortex of normal cat and monkey Acta Neurobiol. Exp. (Warsz) 35 805 819
39. C.M. Gray P. Konig A.K. Engel W. Singer 1989 Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties Nature 338 334 337
40. R. Llinas U. Ribary 1993 Coherent 40-Hz oscillation characterizes dream state in humans Proc. Natl. Acad. Sci. U. S. A. 90 2078 2081
41. W. Singer C.M. Gray 1995 Visual feature integration and the temporal correlation hypothesis Annu. Rev. Neurosci. 18 555 586
42. A. Gabriel R. Eckhorn 2003 A multi-channel correlation method detects traveling gamma-waves in monkey visual cortex J. Neurosci. Methods 131 171 184
43. R. Eckhorn A. Gail A. Bruns A. Gabriel B. Al-Shaikhli M. Saam 2004 Neural mechanisms of visual associative processing Acta Neurobiol. Exp. (Wars) 64 239 252
44. E.H. Buhl G. Tamas A. Fisahn 1998 Cholinergic activation and tonic excitation induce persistent gamma oscillations in mouse somatosensory cortex in vitro J. Physiol. (Lond.) 513 117 126
45. M.A. Whittington I.M. Stanford S.B. Colling J.G. Jefferys R.D. Traub 1997 Spatiotemporal patterns of gamma frequency oscillations tetanically induced in the rat hippocampal slice J. Physiol. 502 Pt. 3 591 607
46. J.M. Casado 2003 Transient activation in a network of coupled map neurons Phys. Rev. Lett. 91 208102
47. J.M. Casado B. Ibarz M.A.F. Sanjuan 2004 Winnerless competition in networks of coupled map neurons Mod. Phys. Lett. B 18 1347 1366
48. Ivanchenko, M.V., Osipov, G.V., Shalfeev, V.D., Kurths, J.: Synchronized bursts following instability of synchronous spiking in chaotic neuronal networks. Los Alamos National Laboratory, Los Alamos, nlin.CD/0601023 (2006)
49. T. Nowotny R. Huerta H.D. Abarbanel M.I. Rabinovich 2005 Self-organization in the olfactory system: one shot odor recognition in insects Biol. Cybern. 93 436 446
50. G.V. Osipov M.V. Ivanchenko J. Kurths B. Hu 2005 Synchronized chaotic intermittent and spiking behavior in coupled map chains Phys. Rev. E 71 056209
51. C. Assisi M. Stopfer G. Laurent M. Bazhenov 2007 Adaptive regulation of sparseness by feedforward inhibition Nat. Neurosci. 10 9 1176 1184