Frequency control in synchronized networks of inhibitory neurons

Journal of Computational Neuroscience

Volumn 5, Issue 4, 1998, Pages 407-420

  Chow, Carson C ^a,c   White, John A ^b   Ritt, Jason ^a   Kopell, Nancy ^a  

^a Boston University   (United States)

^b Boston University College of Engineering   (United States)

^c UNIVERSITY OF PITTSBURGH   (United States)

Author keywords

Gamma oscillations; Hippocampus; Interneurons; Synchronization

Indexed keywords

HETEROGENEOUS NETWORKS; NEURAL NETWORKS; NEURONS;

DECAY TIME; FREQUENCY BEHAVIOR; GAMMA OSCILLATIONS; HIPPOCAMPUS; INHIBITORY NEURONS; INTERNEURON; MEMBRANE MODELS; NEURONAL MODELING; NEURONAL NETWORKS; REDUCED MODEL;

SYNCHRONIZATION;

ARTICLE; HIPPOCAMPUS; INTERNEURON; MEMBRANE MODEL; NERVE CELL NETWORK; OSCILLATION; PRIORITY JOURNAL; SYNAPSE; TIME;

EID: 0031788753     PISSN: 09295313     EISSN: None     Source Type: Journal    
DOI: 10.1023/A:1008889328787     Document Type: Article

References (37)

1. Abbott L, van Vreeswijk C (1993) Asynchronous states in networks of pulse-coupled oscillators. Phys. Rev. E 48:1483-1490.
2. Bragin A, Jandó G, Nádasdy Z, Hetke J, Wise K, Buzsáki G (1995) Gamma (40-100 Hz) oscillation in the hippocampus of the behaving rat. J. Neuroscience 15:47-60.
3. Buzsáki G (1986) Hippocampal sharp waves: Their origin and significance. Brain Res. 398:242-252.
4. Chow CC. (In press) Phase-locking in weakly heterogeneous neuronal networks. Physica D.
5. Destexhe A, Mainen ZF, Sejnowski TJ (1994) An efficient method for computing synaptic conductances based on a kinetic model of receptor binding. Neural Comp. 6:14-18.
6. Destexhe A, McCormick DA, Sejnowski TJ (1993) A model for 8-10 Hz spindling in interconnected thalamic relay and reticularis neurons. Biophysical J. 65:2473-2477.
7. Ermentrout GB (1996) Type I membranes, phase resetting curves, and synchrony. Neural Comp. 8:979-1001.
8. Ermentrout GB, Kopell N (1998) Fine structure of neural spiking and synchronization in the presence of conduction delays. Proc. Nat. Acad. Sci. USA 95:1259-1264.
9. Friesen W (1994) Reciprocal inhibition: A mechanism underlying oscillatory animal movements. Neurosci. Behavior 18:547-553.
10. Gerstner W, van Hemmen JL, Cowen J (1996) What matters in neuronal locking? Neural Comp. 8:1653-1676.
11. Golomb D, Rinzel J (1993) Dynamics of globally coupled inhibitory neurons with heterogeneity. Phys. Rev. E 48:4810-4814.
12. Gray CM (1994) Synchronous oscillations in neuronal systems: Mechanisms and functions. J. Comp. Neuro. 1:11-38.
13. Hansel D, Mato G, Meunier C (1995) Synchrony in excitatory neural networks. Neural Comp. 7:307-337.
14. Izhikevich EM, Hoppensteadt F (1997) Weakly Connected Neural Networks. Springer-Verlag, chap. 8.
15. Jefferys JGR, Traub RD, Whittington MA (1996) Neuronal networks for induced "40 Hz" rhythms. Trends Neurosci. 19:202-207.
16. Katsumaru H, Kosaka T, Heizman CW, Hama K (1988) Gap-junctions on GABAergic neurons containing the calcium-binding protein parvalbumin in the rat hippocampus (CA1 regions). Exp. Brain Res. 72:363-370.
17. Kopell N, LeMasson G (1994) Rhythmogenesis, amplitude modulation, and multiplexing in a cortical architecture. Proc. Natl. Acad. Sci. USA 91:10586-10590.
18. Llinás R, Ribary U (1993) Coherent 40-Hz oscillation characterizes dream state in humans. Proc. Natl. Acad. Sci. USA 90:2078-2081.
19. Perkel D, Mulloney B (1974) Motor patterns in reciprocally inhibitory neurons exhibiting postinhibitory rebound. Science 185:181-183.
20. Pinsky P, Rinzel J (1994) Intrinsic and network rhythmogenesis in a reduced Traub model for CA3 neurons. J. Comp. Neurosci. 1:39-60.
21. Rinzel, Ermentrout (1989) In: C Koch, I Segev, eds. Methods in Neuronal Modelling. MIT Press, Cambridge, MA.
22. Ritz R, Sejnowski TJ (1997) Synchronous oscillatory activity in sensory systems: New vistas on mechanisms. Cuir. Opin. Neurobio. 7:536-546.
23. Skinner F, Kopell N, Marder E (1994) Mechanisms for oscillations and frequency control in networks of mutually inhibitory relaxation oscillators. J. Comp. Neurosci. 1:69-87.
24. Skinner F, Turrigiano GG, Marder E (1993) Frequency and burst duration in oscillating neurons and two-cell networks. Biol. Cybern. 69:375-383.
25. Terman D, Bose A, Kopell N (1996) Functional reorganization in thalamocortical networks: Transition between spindling and delta sleep rhythms. Proc. Natl. Acad. Sci. USA 93:15417-15422.
26. Terman D, Kopell N, Bose A (In press) Dynamics of two mutually coupled slow inhibitory neurons. Physica D.
27. Traub RD (1995) Model of synchronized population bursts in electrically coupled interneurons containing active dendritic conductances. J. Comp. Neurosci. 2:283-289.
28. Traub RD, Jefferys JGR, Whittington MA (1996a) Simulation of gainma rhythms in networks of interneurons and pyramidal cells. J. Comp. Neurosci.
29. Traub RD, Whittington M, Colling S, Buzsáki G, Jefferys JGR (1996b) Analysis of gamma rhythms in the rat hippocampus in vitro and in vivo. J. Physiol. 493:471-484.
30. Tsodyks M, Mitkov I, Sompolinsky H (1993) Pattern of synchrony in inhomogeneous networks of oscillators with pulse interactions. Phys. Rev. Lett. 71:1280-1283.
31. Tuckwell HC (1989) Stochastic Processes in the Neurosciences. SIAM, Philadelphia.
32. van Vreeswijk C, Abbott L, Ermentrout GB (1994) When inhibition not excitation synchronizes neural firing. J. Comp. Neuroscience 1:313-321.
33. Wang X-J, Buzsáki G (1996) Gamma oscillation by synaptic inhibition in an interneuronal network model. J. Neurosci. 16:6402-6413.
34. Wang X-J, Rinzel J (1992) Alternating and synchronous rhythms in reciprocally inhibitory model neurons. Neural Comp. 4:84-97.
35. White JA, Chow CC, Ritt J, Soto-Treviño C, Kopell N (1998) Synchronization and oscillatory dynamics in heterogeneous, mutually inhibited neurons. J. Comp. Neurosci.
36. Whittington MA, Traub RD, Jefferys JGR (1995) Synchronized oscillations in interneuron networks driven by metabotropic glutamate receptor activation. Nature 373:612-615.
37. Ylinen A, Bragin A, Nádasdy Z, Jandó G, Szabó I, Sik A, Buzsáki G (1995) Sharp wave-associated high-frequency oscillation (200 Hz) in the intact hippocampus: Network and intracellular mechanisms. J. Neurosci. 15:30-46.