Coding of temporally varying signals in networks of spiking neurons with global delayed feedback

Neural Computation

Volumn 17, Issue 10, 2005, Pages 2139-2175

  Masuda, Naoki ^a,b   Doiron, Brent ^c   Longtin, André ^c   Aihara, Kazuyuki ^b,d  

^a RIKEN BRAIN SCIENCE INSTITUTE   (Japan)

^b JAPAN SCIENCE AND TECHNOLOGY AGENCY   (Japan)

^c UNIVERSITY OF OTTAWA   (Canada)

^d UNIVERSITY OF TOKYO   (Japan)

Author keywords

[No Author keywords available]

Indexed keywords

ACTION POTENTIAL; ANIMAL; ARTICLE; ARTIFICIAL NEURAL NETWORK; BIOLOGICAL MODEL; CYTOLOGY; FEEDBACK SYSTEM; HUMAN; MENTAL FUNCTION; NERVE CELL; NERVE CELL NETWORK; NONLINEAR SYSTEM; PERIODICITY; PHYSIOLOGY; SYNAPTIC TRANSMISSION; TIME;

ACTION POTENTIALS; ANIMALS; FEEDBACK; HUMANS; MENTAL PROCESSES; MODELS, NEUROLOGICAL; NERVE NET; NEURAL NETWORKS (COMPUTER); NEURONS; NONLINEAR DYNAMICS; PERIODICITY; SYNAPTIC TRANSMISSION; TIME FACTORS;

EID: 23944441257     PISSN: 08997667     EISSN: None     Source Type: Journal    
DOI: 10.1162/0899766054615680     Document Type: Article

References (69)

1. Abeles, M. (1991). Corticonics. Cambridge: Cambridge University Press.
2. Aihara, K., & Matsumoto, G. (1982). Temporally coherent organization and instabilities in squid giant axons. J. Theor. Biol., 95, 697-720.
3. Aviel, Y., Mehring, C., Abeles, M., & Horn, D. (2003). On embedding synfire chains in a balanced network. Neural Comput., 15, 1321-1340.
4. Bal, T., Debay, D., & Destexhe, A. (2000). Cortical feedback controls the frequency and synchrony of oscillations in the visual thalamus. J. Neurosd., 20(19), 7478-7488.
5. Berman, N. J., & Maler, L. (1999). Neural architecture of the electrosensory lateral line lobe: Adaptations for coincidence detection, a sensory searchlight and frequency-dependent adaptive filtering. J. Experimental Biology, 202, 1243-1253.
6. Billock, V. A. (1997). Very short term visual memory via reverberation: A role for the cortico-thalamic excitatory circuit in temporal filling-in during blinks and saccades? Vision Research, 37(7), 949-953.
7. Bringuier, V., Chavane, F., Glaeser, L., & Frégnac, Y. (1999). Horizontal propagation of visual activity in the synaptic integration field of area 17 neurons. Science, 283, 695-699.
8. Brunel, N. (2000). Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons. J. Comput. Neurosci., 8, 183-208.
9. Brunel, N., & Hakim, V. (1999). Fast global oscillations in networks of integrate-and-fire neurons with low firing rates. Neural Computation, 11, 1621-1671.
10. Burkitt, A. N., & Clark, G. M. (2001). Synchronization of the neural response to noisy periodic synaptic input. Neural Computation, 13, 2639-2672.
11. Buzsáki, G., & Draguhn, A. (2004). Neuronal oscillations in cortical networks. Science, 304, 1926-1929.
12. Câteau, H., & Fukai, T. (2001). Fokker-Planck approach to the pulse packet propagation in synfire chain. Neural Networks, 14, 675-685.
13. Chacron, M. J., Doiron, B., Maler, L., Longtin, A., & Bastian, J. (2003). Nonclassical receptive field mediates switch in a sensory neuron's frequency tuning. Nature, 423, 77-81.
14. Chance, F. S., Abbott, L. F., & Reyes, A. D. (2002). Gain modulation from background synaptic input. Neuron, 35, 773-782.
15. Cox, T. R., & Lewis, P. A. W. (1966). The statistical analysis of series of events. London: Methuen.
16. Damasio, A. R. (1989). The brain binds entities and events by multiregional activation from convergence zones. Neural Computation, 1, 123-132.
17. Destexhe, A., & Sejnowski, T. J. (2003). Interactions between membrane conductances underlying thalamocortical slow-wave oscillations. Physiol. Rev., 83, 1401-1453.
18. Diesmann, M., Gewaltig, M.-O., & Aertsen, A. (1999). Stable propagation of synchronous spiking in cortical neural networks. Nature, 402, 529-533.
19. Doiron, B. (2004). Electrosensory dynamics: Dendrites and delays. Unpublished doctoral dissertation, University of Ottawa.
20. Doiron, B., Chacron, M. J., Maler, L., Longtin, A., & Bastian, J. (2003). Inhibitory feedback required for network oscillatory responses to communication but not prey stimuli. Nature, 421, 539-543.
21. Doiron, B., Lindner, B., Longtin, A., Maler, L., & Bastian, J. (2004). Oscillatory activity in electrosensory neurons increases with the spatial correlation of the stochastic input stimulus. Phys. Rev. Lett., 93(4), 048101.
22. Douglas, R. J., Koch, C., Mahowald, M., Martin, K. A. C., & Suarez, H. H. (1995). Recurrent excitation in neocortical circuits. Science, 269, 981-985.
23. Faria, T., & Magalhães, L. T. (1995). Normal form for retarded functional differential equations with parameters and applications to Hopf bifurcation. J. Differential Equations, 122, 181-200.
24. Fontanini, A., Spano, P., & Bower, J. M. (2003). Ketamine-Xylazine-induced slow (ω1.5 Hz) oscillations in the rat piriform (olfactory) cortex are functionally correlated with respiration. J. Neurosci., 23(22), 7993-8001.
25. Gerstner, W. (2000). Population dynamics of spiking neurons: Fast transients, asynchronous states, and locking. Neural Computation, 12, 43-89.
26. Gerstner, W., Kempter, R., van Hemmen, J. L., & Wagner, H. (1996). A neuronal learning rule for sub-millisecond temporal coding. Nature, 383, 76-78.
27. Gerstner, W., & Kistler, W. M. (2002). Spiking neuron models. Cambridge: Cambridge University Press.
28. Giannakopoulos, F., & Zapp, A. (1999). Local and global Hopf bifurcation in a scalar delay differential equation. J. Math. Anal. Appl., 237, 425-450.
29. Gilbert, C. D., & Wiesel, T. N. (1983). Clustered intrinsic connections in cat visual cortex. J. Neurosci., 3(5), 1116-1133.
30. Gray, C. M., König, P., Engel, A. K., & Singer, W. (1989). Oscillatory responses in cat visual cortex exhibit inter-columnar synchronization which reflects global stimulus properties. Nature, 338, 334-337.
31. Hale, J. K., & Lunel, S. V. (1993). Introduction to functional differential equations. New York: Springer Verlag.
32. Heiligenberg, W. (1991). Neural nets in electric fish. Cambridge, MA: MIT Press.
33. Ho, N., & Destexhe, A. (2000). Synaptic background activity enhances the responsiveness of neocortical pyramidal neurons. J. Neurophysiol., 84, 1488-1496.
34. Hopfield, J. J. (1995). Pattern recognition computation using action potential timing for stimulus representation. Nature, 376, 33-36.
35. Hunter, J. D., Milton, J. G., Thomas, P. J., & Cowan, J. D. (1998). Resonance effect for neural spike time reliability. J. Neurophysiol., 80, 1427-1438.
36. Izhikevich, E. M., Desai, N. S., Walcott, E. C., & Hoppensteadt, F. C. (2003). Bursts as a unit of neural information: Selective communication via resonance. Trends in Neurosciences, 26(3), 161-167.
37. Kistler, W. M., & De Zeeuw, C. I. (2002). Dynamical working memory and timed responses: The role of reverberating loops in the olivo-cerebellar system. Neural Computation, 14, 2597-2626.
38. Klausberger, T., Magill, P. J., Márton, L. F., Roberts, J. D. B., Cobden, P. M., Buzsáki, G., & Somogyi, P. (2003). Brain-state- and cell-type-specific firing of hippocampal interneurons in vivo. Nature, 421, 844-848.
39. Knight, B. W. (1972). Dynamics of encoding in a population of neurons. Journal of General Physiology, 59, 734-766.
40. Knight, B. W. (2000). Dynamics of encoding in neuron populations: Some general mathematical features. Neural Computation, 12, 473-518.
41. Kuhn, A., Aertsen, A., & Rotter, S. (2004). Neuronal integration of synaptic input in the fluctuation-driven regime. J. Neurosci., 24(10), 2345-2356.
42. Laing, C. R., & Longtin, A. (2003). Dynamics of deterministic and stochastic paired excitatory-inhibitory delayed feedback. Neural Computation, 15, 2779-2822.
43. Lindner, B., & Schimansky-Geier, L. (2002). Maximizing spike train coherence or incoherence in the leaky integrate-and-fire model. Phys. Rev. E, 66, 031916.
44. Litvak, V., Sompolinsky H., Segev, I., & Abeles, M. (2003). On the transmission of rate code in long feedforward networks with excitatory-inhibitory balance. J. Neurosci., 23(7), 3006-3015.
45. Llinás, R. R., Grace, A. A., & Yarom, Y. (1991). In vitro neurons in mammalian cortical layer 4 exhibit intrinsic oscillatory activity in 10- to 50-Hz frequency range. Proc. Natl. Acad. Sci. USA, 88, 897-901.
46. Longtin, A. (1991). Noise-induced transitions at a Hopf bifurcation in a first order delay-differential equation. Phys. Rev. A., 44(8), 4801-4813.
47. Longtin, A. (1995). Mechanisms of stochastic phase locking. Chaos, 5(1), 209-215.
48. Longtin, A. (2000). Effect of noise on the tuning properties of excitable systems. Chaos, Solitons and Fractals, 11, 1835-1848.
49. Longtin, A., & St-Hilaire, M. (2000). Encoding carrier amplitude modulations via stochastic phase synchronization. Int. J. Bifu. Chaos, 10(10), 2447-2463.
50. Maex, R., & De Schutter, E. (2003). Resonant synchronization in heterogeneous networks of inhibitory neurons. J. Neurosci., 23(33), 10503-10514.
51. Marcus, C. M., & Westervelt, R. M. (1989). Stability of analog neural networks with delay. Phys. Rev. A, 39(1), 347-359.
52. Masuda, N., & Aihara, K. (2002a). Spatio-temporal spike encoding of a continuous external signal. Neural Computation, 14, 1599-1628.
53. Masuda, N., & Aihara, K. (2002b). Bridging rate coding and temporal spike coding by effect of noise. Phys. Rev. Lett., 88(24), 248101.
54. Masuda, N., & Aihara, K. (2003a). Duality of rate coding and temporal spike coding in multilayered feedforward networks. Neural Computation, 15, 103-125.
55. Masuda, N., & Aihara, K. (2003b). Ergodicity of spike trains: When does trial averaging make sense? Neural Computation, 15, 1341-1372.
56. Masuda, N., & Aihara, K. (2003c). Filtered interspike interval encoding by class II neurons. Physics Letters A, 311(6), 485-490.
57. Mehring, C., Hehl, U., Kubo, M., Diesmann, M., & Aertsen, A. (2003). Activity dynamics and propagation of synchronous spiking in locally connected random networks. Biol. Cybern., 88, 395-408.
58. Murphy, P. C., Duckett, S. G., & Sillito, A. M. (1999). Feedback connections to the lateral geniculate nucleus and cortical response properties. Science, 286, 1552-1554.
59. Nirenberg, S., & Latham, P. E. (2003). Decoding neuronal spike trains: How important are correlations? Proc. Nat. Acad. Sci. USA, 100(12), 7348-7353.
60. Plenz, D., & Kitai, S. T. (1999). A basal ganglia pacemaker formed by the subthalamic nucleus and external globus pallidus. Nature, 400, 677-682.
61. Reyes, A. D. (2003). Synchrony-dependent propagation of firing rate in iteratively constructed networks in vitro. Nature Neurosci., 6(6), 593-599.
62. Rinzel, J., & Ermentrout, B. (1998). Analysis of neural excitability and oscillations. In C. Koch & I. Segev (Eds.), Methods in neuronal modeling: From ions to networks (2nd ed., pp. 251-291). Cambridge, MA: MIT Press.
63. Risken, H. (1984). The Fokker-Planck equation. New York: Springer-Verlag.
64. Ritz, R., & Sejnowski, T. J. (1997). Synchronous oscillatory activity in sensory systems: New vistas on mechanisms. Curr. Opinion in Neurobiol., 7, 536-546.
65. Shadlen, M. N., & Newsome, W. T. (1998). The variable discharge of cortical neurons: Implications for connectivity, computation, and information coding. J. Neurosci., 18(10), 3870-3896.
66. Sillito, A. M., Jones, H. E., Gerstein, G. L., & West, D. C. (1994). Feature-linked synchronization of thalamic relay cell firing induced by feedback from the visual cortex. Nature, 369, 479-482.
67. Stopfer, M., Bhagavan, S., Smith, B. H., & Laurent, G. (1997). Impaired odour discrimination on desynchronization of odour-encoding neural assemblies. Nature, 390, 70-74.
68. van Rossum, M. C., W., Turrigiano, G. G., & Nelson, S. B. (2002). Fast propagation of firing rates through layered networks of noisy neurons. J. Neurosci., 22(5), 1956-1966.
69. Wilson, H. R. (1999). Spike decisions and actions. New York: Oxford University Press.