Toggling between gamma-frequency activity and suppression of cell assemblies

Frontiers in Computational Neuroscience

Volumn , Issue MAR, 2013, Pages

  Börgers, Christoph ^a   Walker, Bryan ^a  

^a TUFTS UNIVERSITY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

ABRUPT TRANSITION; CELL ASSEMBLY; ERRATIC FLUCTUATIONS; IDEALIZED MODELS; INHIBITORY CELLS; PARAMETER REGIMES; PHASE RESPONSE; SHARP BOUNDARIES;

CELLS;

CYTOLOGY;

ALGORITHM; ARTICLE; ATTENTION; BRAIN FUNCTION; CELL INTERACTION; GAMMA RHYTHM; GAP JUNCTION; HIPPOCAMPUS; INTERNEURON; MATHEMATICAL COMPUTING; MATHEMATICAL MODEL; NEOCORTEX; NERVE CELL EXCITABILITY; NERVE CELL INHIBITION; NERVE CELL NETWORK; PRESYNAPTIC POTENTIAL; PYRAMIDAL NERVE CELL; SIMULATION; SPIKE WAVE;

EID: 84875458923     PISSN: 16625188     EISSN: None     Source Type: Journal    
DOI: 10.3389/fncom.2013.00033     Document Type: Article

References (40)

1. M. A. Whittington, R. D. Traub, N. Kopell, B. Ermentrout, and E. H. Buhl. Inhibition-based rhythms: experimental and mathematical observations on network dynamics. Int. J. of Psychophysiol., 38:315-336, 2000.
2. R. D. Traub and M. Whittington. Cortical Oscillations in Health and Disease. Oxford University Press, 2010.
3. M. Bartos, I. Vida, and P. Jonas. Synaptic mechanisms of synchronized gamma oscillations in inhibitory interneuron networks. Nat. Rev. Neurosci., 8(1):45-56, 2007.
4. C. Börgers and N. Kopell. Synchronization in networks of excitatory and inhibitory neurons with sparse, random connectivity. Neural Comp., 15(3):509-539, 2003.
5. C. Börgers and N. Kopell. Effects of noisy drive on rhythms in networks of excitatory and inhibitory neurons. Neural Comp., 17(3):557-608, 2005.
6. J. White, C. Chow, J. Ritt, C. Soto-Trevino, and N. Kopell. Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. J. Comput. Neurosci., 5:5-16, 1998.
7. S. Achuthan and C. Canavier. Phase-resetting curves determine synchronization, phase locking, and clustering in networks of neural oscillators. J. Neurosci., 29(16):5218-5233, 2009.
8. C. Börgers, S. Epstein, and N. Kopell. Gamma oscillations mediate stimulus competition and attentional selection in a cortical network model. Proc. Natl. Acad. Sci. USA, 105(46):18023-8, 2008.
9. C. Börgers, S. Epstein, and N. Kopell. Background gamma rhythmicity and attention in cortical local circuits: A computational study. Proc. Natl. Acad. Sci. USA, 102(19):7002-7007, 2005.
10. M. Galarreta and S. Hestrin. Electrical and chemical synapses among parvalbumin fastspiking GABAergic interneurons in adult mouse neocortex. Proc. Natl. Acad. Sci. USA, 99(19):12438-12443, 2002.
11. T. Fukuda and T. Kosaka. Gap junctions linking the dendritic network of GABAergic interneurons in the hippocampus. J. Neurosci., 20(4):1519-1528, 2000.
12. T. Tateno and H. Robinson. Phase resetting curves and oscillatory stability in interneurons of rat somatosensory cortex. Biophys. J., 92(2):683-695, 2007.
13. N. Kopell and B. Ermentrout. Chemical and electrical synapses perform complementary roles in the synchronization of interneuronal networks. Proc. Natl. Acad. Sci. USA, 101(43):15482-15487, 2004.
14. S. Ostojic, N. Brunel, and V. Hakim. Synchronization properties of networks of electrically coupled neurons in the presence of noise and heterogeneities. J. Comp. Neurosci., 26(3):369-392, 2009.
15. J. Rinzel and G. B. Ermentrout. Analysis of neural excitability and oscillations. In C. Koch and I. Segev, editors, Methods in Neuronal Modeling, pages 251-292, Cambridge, MA, 1998. MIT Press.
16. A. L. Hodgkin. The local changes associated with repetitive action in a non-medullated axon. J. Physiol. (London), 107:165-181, 1948.
17. G. B. Ermentrout, L. Glass, and B. E. Oldeman. The shape of phase-resetting curves in oscillators with a saddle node on an invariant circle bifurcation. Neural Comp., 24(12):3111-3125, 2012.
18. A. Erisir, D. Lau, B. Rudy, and C. S. Leonard. Function of specific K(+) channels in sustained high-frequency firing of fast-spiking neocortical interneurons. J. Neurophysiol., 82(5):2476-89, 1999.
19. A. L. Hodgkin and A. F. Huxley. A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. (London), 117:500-544, 1952.
20. N. W. Gouwens, H. Zeberg, K. Tsumoto, T. Tateno, K. Aihara, and H. P. C. Robinson. Synchronization of firing in cortical fast-spiking interneurons at gamma frequencies: a phaseresetting analysis. PLoS Comput. Biol., 6(9), 2010.
21. S. H. Strogatz. Nonlinear Dynamics and Chaos. Perseus Books Publishing, 1994.
22. X.-J. Wang and G. Buzsáki. Gamma oscillation by synaptic inhibition in a hippocampal interneuronal network model. J. Neurosci., 16:6402-6413, 1996.
23. N. Kopell, C. Börgers, D. Pervouchine, P. Malerba, and A. B. L. Tort. Gamma and theta rhythms in biophysical models of hippocampal circuits. In V. Cutsuridis, B. Graham, S. Cobb, and I. Vida, editors, Hippocampal Microcircuits: A Computational Modeler's Resource Book. Springer-Verlag, 2010.
24. M. Olufsen, M. Whittington, M. Camperi, and N. Kopell. New functions for the gamma rhythm: Population tuning and preprocessing for the beta rhythm. J. Comput. Neurosci., 14:33-54, 2003.
25. G. B. Ermentrout and N. Kopell. Fine structure of neural spiking and synchronization in the presence of conduction delay. Proc. Natl. Acad. Sci. USA, 95:1259-1264, 1998.
26. R. D. Traub and R. Miles. Neuronal Networks of the Hippocampus. Cambridge University Press, Cambridge, UK, 1991.
27. B. W. Connors, R. C. Malenka, and L. R. Silva. Two inhibitory postsynaptic potentials, and GABAA and GABAB receptor-mediated responses in neocortex of rat and cat. J. Physiol. (London), 406:443-468, 1988.
28. M. V. Sanchez-Vives and D. A. McCormick. Functional properties of perigeniculate inhibition of dorsal lateral geniculate nucleus thalamocortical neurons in vitro. J. Neurosci., 17(22):8880-8893, 1997.
29. R. D. Traub, M. A. Whittington, S. B. Colling, G. Buzsáki, and J. G. R. Jefferys. Analysis of gamma rhythms in the rat hippocampus in vitro and in vivo. J. Physiol. (London), 493:471-484, 1996.
30. I. Vida, M. Bartos, and P. Jonas. Shunting inhibition improves robustness of gamma oscillations in hippocampal interneuron networks by homogenizing firing rates. Neuron, 49(1):107-17, 2006.
31. D. A. McCormick. GABA as an inhibitory neurotransmitter in human cerebral cortex. J. Neurophysiol., 62(5):1018-1027, 1989.
32. P. Bregestovski and C. Bernard. Excitatory GABA: how a correct observation may turn out ot be an experimental artifact. Frontiers in Pharmacology, 3:65, 2012.
33. M. Beierlein, J. R. Gibson, and B.W. Connors. A network of electrically coupled interneurons drives synchronized inhibition in neocortex. Nature Neurosci., 3(9):904-910, 2000.
34. M. Beierlein, J. R. Gibson, and B. W. Connors. Two dynamically distinct inhibitory networks in layer 4 of the neocortex. J. Neurophysiol., 90:2987-3000, 2003.
35. T. Tateno, A. Harsch, and H. P. C. Robinson. Threshold firing frequency-current relationships of neurons in rat somatosensory cortex: Type 1 and type 2 dynamics. J. Neurophysiol., 92:2283-2294, 2004.
36. T. Tateno and H. Robinson. Rate coding and spike-time variability in cortical neurons with two types of threshold dynamics. J. Neurophysiol., 95:2650-2663, 2006.
37. T. Tateno and H. Robinson. Integration of broadband conductance input in rat somatosensory cortical inhibitory interneurons: an inhibition-controlled switch between intrinsic and inputdriven spiking in fast-spiking cells. J. Neurophysiol., 101(2):1056-1072, 2009.
38. F. G. Pike, R. S. Goddard, J. M. Suckling, P. Ganter, N. Kasthuri, and O. Paulsen. Distinct frequency preferences of different types of rat hippocampal neurones in response to oscillatory input currents. J. Physiol., 529(1):205-213, 2000.
39. C. Börgers, G. Talei Franzesi, F. E. N. Lebeau, E. S. Boyden, and N. J. Kopell. Minimal size of cell assemblies coordinated by gamma oscillations. PLoS Comp. Biol., 8(2):e1002362, February 2012.
40. V. V. Moca, D. Nikolić, W. Singer, and R. C. Murȩsan. Membrane resonance enables stable and robust gamma oscillations. Cerebral Cortex, Advance Access published October 4, 2012.