Population rate coding in recurrent neuronal networks with unreliable synapses

Cognitive Neurodynamics

Volumn 6, Issue 1, 2012, Pages 75-87

  Guo, Daqing ^a,b   Li, Chunguang ^c  

^a UNIVERSITY OF ELECTRONIC SCIENCE AND TECHNOLOGY OF CHINA   (China)

^b OKINAWA INSTITUTE OF SCIENCE AND TECHNOLOGY GRADUATE UNIVERSITY   (Japan)

^c ZHEJIANG UNIVERSITY   (China)

Author keywords

Noise; Population rate coding; Recurrent neuronal network; Unreliable synapse

Indexed keywords

ARTICLE; CALCULATION; MATHEMATICAL MODEL; NERVE CELL NETWORK; SIMULATION; STOCHASTIC MODEL; SYNAPSE; SYNAPTIC TRANSMISSION;

EID: 84860841430     PISSN: 18714080     EISSN: 18714099     Source Type: Journal    
DOI: 10.1007/s11571-011-9181-x     Document Type: Article

References (49)

1. Abeles M (1991) Corticonics: neural circuits of the cerebral cortex. Cambridge Uinversity Press, New York
2. Allen C, Stevens CF (1994) An evaluation of causes for unreliability of synaptic transmission. Proc Natl Acad Sci USA 91 (22): 10380-10383 (Pubitemid 24329000)
3. Branco T, Staras K (2009) The probability of neurotransmitter release: variability and feedback control at single synapses. NatRev Neurosci 10:373-383
4. Brunel N, Chance FS, Fourcaud N, Abbott LF (2001) Effects of synaptic noise and filtering on the frequency response of spiking neurons. Phys Rev Lett 86 (10):2186-2189 (Pubitemid 32254792)
5. Collins JJ, Chow CC, Imhoff TT (2002) Stochastic resonance withouttuning. Nature 376:236-238
6. Dayan P, Abbott LF (2001) Theoretical neuroscience: computational and mathematical modeling of neural systems. MIT Press, Cambridge
7. Destexhe A, Contreras D (2006) Neuronal computations with stochastic network states. Science 314 (5796):85-90 (Pubitemid 44547745)
8. Friedrich J, Kinzel W (2009) Dynamics of recurrent neural networks with delayed unreliable synapses: metastable clustering. J ComputNeurosci 27 (1):65-80
9. Friston KJ (1997) Another neural code Neuroimage 5 (3):213-220
10. Gerstner W (2000) Population dynamics of spiking neurons: fast transients, asynchronous states, and locking. Neural Comput 12 (1):43-89
11. Gerstner W, Kistler WM (2002) Spiking neuron models: single neruons, populations, plasticity. Cambridge University Press,Cambridge
12. Goldman MS (2004) Enhancement of information transmission efficiency by synaptic failures. Neural Comput 16 (6):1137-1162 (Pubitemid 38662259)
13. Goldman MS, Maldonado P, Abbott LF (2002) Redundancy reduction and sustained firing with stochastic depressing synapses. J Neurosci 22 (2):584-591 (Pubitemid 34049099)
14. Guo D, Li C (2009) Stochastic and coherence resonance in feedforward- loop neuronal network motifs. Phys Rev E 79 (5):051921
15. Guo D, Li C (2010) Self-sustained irregular activity in 2-D smallworld networks of excitatory and inhibitory neurons. IEEE Trans Neural Netw 21 (6):895-905
16. Guo D, Li C (2011) Signal propagation in feedforward neuronal networks with unreliable synapses. J Comput Neurosci 30 (3):567-587
17. Humphries MD, Gurney K, Prescott TJ (2006) The brainstem reticular formation is a small-world, not scale-free, network. Proc R Soc B 273 (1585):503-511 (Pubitemid 46780559)
18. Kandel E, Schwartz J, Jessel TM (1991) Principles of neural science. Elsevier Press, New York
19. Katz B (1966) Nerve, muscle and synapse. McGraw-Hill Pliblications, New York
20. Katz B (1969) The release of neural transmitter substances. Liverpol University Press, Liverpool
21. Kestler J, Kinzel W (2006) Multifractal distribution of spike intervals for two oscillators coupled by unreliable pluses. J Phys A 39 (29):461-466
22. Kloeden PE, Platen E, Schurz H (1994) Numerical solution of SDE through computer experiments. Springe, Berlin
23. Kumar A, Schrader S, Aertsen A, Rotter S (2008) The highconductance state of cortical networks. Neural Comput 20 (1): 1-43
24. Kumar A, Rotter S, Aertsen A (2010) Spiking activity propagation inneuronal networks: reconciling differentperspectives on neural coding. Nat Rev Neurosci 11:615-627
25. Li C, Zheng Q (2010) Synchronization of small-world neuronal network with unreliable synapses. Phys Biol 7 (3):036010
26. Maass W, Natschlaeger T (2000) A model for fast analog computation based on unreliable synapses. Neural Comput 12 (7):1679-1704
27. Manwani A, Koch C (2000) Detecting and estimating signals over noisy and unreliable synapses. Neural Comput 13 (1):1-33 (Pubitemid 33594569)
28. Masuda N, Aihara K (2003) Duality of rate coding and temporal spike coding in multilayered feedforward networks. Neural Comput 15 (1):103-125 (Pubitemid 37049834)
29. Masuda N, Doiron B, Longtin A, Aihara K (2005) Coding of temporally varying signals in networks of spiking neurons with global delayed feedback. Neural Comput 17 (10):2139-2175 (Pubitemid 41186995)
30. Mazurek ME, Shadlen MN (2002) Limits to the temporal fidelity of cortical spike rate signals. Nat Neurosci 5:463-471 (Pubitemid 34454253)
31. Mejias JF, Torres JJ (2009) Maximum memory capacity on neural networks with short-term synaptic depression and facilitation. Neural Comput 21 (3):851-871
32. Natschlaeger T, Maass W (1999) Fast analog computation in networks of spiking neurons using unreliable synapses. In: ESANN'99 proceedings of the European symposium on artificial neural networks. Bruges, Belgium, pp 417-422
33. Raastad M, Storm JF, Andersen P (1992) Putative single quantum and single fibre excitatory postsynaptic currentsshow similar amplitude range and variability in rat hippocampal slices. Eur J Neurosci 4 (1):113-117
34. Rosenmund C, Clements JD, Westbrook GL (1993) Nonuniform probability of glutamate release at a hippocampal synapse. Science 262 (5134):754-757 (Pubitemid 23350697)
35. Smetters DK, Zador A (1996) Synaptic transmission: noisy synapses and noisy neurons. Curr Biol 6 (10):1217-1218 (Pubitemid 27004898)
36. Sporns O, Chialvo DR, Kaiser M, Hilgetag CC (2004) Organization, development and function of complex brain networks. Trends Cogn Sci 8 (9):418-425 (Pubitemid 39179905)
37. Stam CJ (2004) Functional connectivity patterns of human magnetoencephalographic recordings: a 'small-world' network. Neurosci Lett 355 (1-2):25-28 (Pubitemid 38077176)
38. Stevens CF, Wang Y (1995) Facilitation and depression at single central synapses. Neuron 14 (4):795-802
39. Tetzlaff T, Rotter S, Stark E, Abeles M, Aertsen A, Diesmann M (2008) Dependence of neuronal correlations on filter characteristics and marginal spike-train statistics. Neural Comput 20 (9): 2133-2184
40. Thorpe S, Fize D, Marlot C (1996) Speed of processing in the human visual system. Nature 381:520-522 (Pubitemid 26170929)
41. Thorpe S, Delorme A, VanRullen R (2001) Spike-based strategies for rapid processing. Neural Netw 14 (6-7):715-726
42. Trommershäuser J, Marienhagen J, Zippelius A (1999) Stochastic model of central synapses: slow diffusion of transmitter interacting with spatially distributed receptors andtransporters.J Theor Biol 198 (1):101-120 (Pubitemid 29216861)
43. van Rossum MCW, Turrigiano GG, Nelson SB (2002) Fast propagation of firing rates through layered networks of noisy neurons. J Neurosci 22 (5):1956-1966 (Pubitemid 35386315)
44. Vogels PT, Abbott LF (2005) Signal propagation and logic gating in networks of integrate-and-fire neurons. J Neurosci 25 (46): 10786-10795 (Pubitemid 41683145)
45. Wang ST, Zhou CS (2009) Information encoding in an oscillatory network. Phys Rev E 79 (6):061910
46. Watts DJ, Strogatz SH (1998) Collective dynamics of 'small- world'networks. Nature 393:440-442
47. Wenning G, Obermayer K (2003) Activity driven adaptive stochastic resonance. Phys Rev Lett 90 (12):120602
48. White JG, Southgate E, Thompson JN, Brenner S (1986) The structure of the nervous system of the nematode Caenorhabditis elegans. Philos Trans R Soc Lond B 314 (1165):1-340
49. Zador A (1998) Impact of synaptic unreliability on the information transmitted by spiking neurons. J Neurophysiol 79 (3):1219-1229 (Pubitemid 28125357)