Stochastic resonance in Hodgkin-Huxley neuron induced by unreliable synaptic transmission

Journal of Theoretical Biology

Volumn 308, Issue , 2012, Pages 105-114

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

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

^b ZHEJIANG UNIVERSITY   (China)

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

Author keywords

Dynamics; Mean field analysis; Model; Simulation

Indexed keywords

NUMERICAL MODEL; RESONANCE; SIMULATION; STOCHASTICITY;

ARTICLE; HODGKIN HUXLEY EQUATION; INFORMATION PROCESSING; MEMBRANE POTENTIAL; PREDICTION; PRESYNAPTIC POTENTIAL; PRIORITY JOURNAL; SIMULATION; STOCHASTIC MODEL; SYNAPSE VESICLE; SYNAPTIC TRANSMISSION; THEORETICAL STUDY;

COMPUTER SIMULATION; MODELS, NEUROLOGICAL; NEURONS; STOCHASTIC PROCESSES; SYNAPSES; SYNAPTIC TRANSMISSION;

EID: 84862591413     PISSN: 00225193     EISSN: 10958541     Source Type: Journal    
DOI: 10.1016/j.jtbi.2012.05.034     Document Type: Article

References (68)

1. Abele M. Corticonics: Neural Circuits of the Cerebral Cortex 1991, Cambridge University Press, New York.
2. Adey W.R. Organization of brain tissue: is the brain a noisy processor?. Int. J. Neurosci. 1972, 3:271-284.
3. Allen C., Stevens C.F. An evaluation of causes for unreliability of synaptic transmission. Proc. Natl. Acad. Sci. USA 1994, 91:10380-10383.
4. Amit D.J., Brunel N. Dynamics of a recurrent network of spiking neurons before and following learning. Network: Comput. Neural Syst. 1997, 8:373-404.
5. Branco T., Staras K. The probability of neurotransmitter release: variability and feedback control at single synapses. Nat. Rev. Neurosci. 2009, 10:373-383.
6. Brunel N., Chance F.S., Fourcaud N., Abbott L.F. Effects of synaptic noise and filtering on the frequency response of spiking neurons. Phys. Rev. Lett. 2011, 86:2186-2189.
7. Brunel N., Hakim V. Fast global oscillations in networks of integrate-and-fire neurons with low firing rates. Neural Comput. 1999, 11:1621-1671.
8. Brunel N. Dynamics of sparsely connected networks of excitatory and inhibitory spiking neurons. J. Comput. Neurosci. 2000, 8:183-208.
9. Butcher J.C. Numerical Methods for Ordinary Differential Equations 2003, Wiley Press, Chichester.
10. Collins J.J., Chow C.C., Imhoff T.T. Stochastic resonance without tuning. Nature (London) 1995, 376:236-238.
11. Deco G., Rolls E.T., Romo R. Stochastic dynamics as a principle of brain function. Prog. Neurobiol. 2009, 88:1-16.
12. Destexhe A., Contreras D. Neuronal computations with stochastic network states. Science 2006, 314:85-90.
13. Destexhe A., Rudolph M., Fellous J.M., Sejnowski T.J. Fluctuating synaptic conductances recreate in-vivo-like activity in neocortical neurons. Neuroscience 2001, 107:13-2004.
14. Douglass J.K., Wilkens L., Pantazelou E., Moss F. Noise enhancement of information transfer in crayfish mechanoreceptors by stochastic resonance. Nature (London) 1993, 365:337-340.
15. Friedrich J., Kinzel W. Dynamics of recurrent neural networks with delayed unreliable synapses: metastable clustering. J. Comput. Neurosci. 2009, 27:65-80.
16. Goldman M.S., Maldonado P., Abbott L.F. Redundancy reduction and sustained firing with stochastic depressing synapses. J. Neurosci. 2004, 22:584-591.
17. Goldman M.S. Enhancement of information transmission efficiency with unreliable synapses. Neural Comput. 2004, 16:1137-1162.
18. Gerstner W., Kistler W.M. Spiking Neuron Models: Single Neurons, Populations, Plasticity 2002, Cambridge University Press, Cambridge.
19. Gluckman B.J., Netoff T.I., Neel E.J., Ditto W.L., Spano M.L., Schiff S.J. Phys. Rev. Lett. 1996, 77:4098-4101.
20. Guo D., Li C. Stochastic and coherence resonance in feed-forward-loop neuronal network motifs. Phys. Rev. E 2009, 79:051921.
21. Guo D., Li C. Signal propagation in feedforward neuronal networks with unreliable synapses. J. Comput. Neurosci. 2011, 30:567-587.
22. Hansel D., Sompolinsky H. Synchronization and computation in a chaotic neural network. Phys. Rev. Lett. 1992, 68:718-721.
23. Hodgkin A.L., Huxley A.F. A quantitative description of membrane current and its application to conduction and excitation in nerve. J. Physiol. (Lond.) 1952, 117:500-544.
24. Holden L., Erneux T. Slow passage through a Hopf bifurcation: from oscillatory to steady state solutions. SIAM J. Appl. Math. 1993, 53:1045-1058.
25. Katz B. Nerve, Muscle and Synapse 1966, McGraw-Hill Publications, New York.
26. Katz B. The Release of Neural Transmitter Substances 1969, Liverpool University Press, Liverpool.
27. Kinzel W. On the stationary state of a network of inhibitory spiking neurons. J. Comput. Neurosci. 2007, 24:105-112.
28. Kreuz T., Luccioli S., Torcini A. Double coherence resonance in neuron models driven by discrete correlated noise. Phys. Rev. Lett. 2006, 97:238101.
29. Kreuz T., Luccioli S., Torcini A. Coherence resonance due to correlated noise in neuronal models. Neurocomputing 2007, 70:1970-1976.
30. Lee S.G., Kim S. Parameter dependence of stochastic resonance in the stochastic Hodgkin-Huxley neuron. Phys. Rev. E 1999, 60:826-830.
31. Levin J.E., Miller J.P. Broadband neural encoding in the cricket cereal sensory system enhanced by stochastic resonance. Nature (London) 1996, 380:165-168.
32. Levy W.B., Baxter R.A. Energy-efficient neuronal computation via quantal synaptic failures. J. Neuroscience 2002, 22:4746-4755.
33. Liang X., Dhamala M., Zhao L., Liu Z. Phase-disorder-induced double resonance of neuronal activity. Phys. Rev. E 2010, 82:010902.
34. Li C., Chen L., Aihara K. Transient resetting: a novel mechanism for synchrony and its biological examples. PLoS Comput. Biol. 2006, 2:e103.
35. Luccioli S., Kreuz T., Torcini A. Dynamical response of the Hodgkin-Huxley model in the high-input regime. Phys. Rev. E 2006, 73:041902.
36. Manjarrez E., Rojas-Piloni J.G., Méndez I., Martínez M., Vélez D., Vázquez D., Flores A. Internal stochastic resonance in the coherence between spinal and cortical neuronal ensembles in the cat. Neurosci. Lett. Suppl. 2002, 326:93-96.
37. Mejias J.F., Torres J.J. Emergence of resonances in neural systems: the interplay between adaptive threshold and short-term synaptic plasticity. PLoS One 2011, 6:e17355.
38. Neiman A.B., Yakusheva T.A., Russell D.F. Noise-induced transition to bursting in responses of paddlefish electroreceptor afferents. J. Neurophysiol. 2007, 98:2795-2806.
39. Ozer M., Graham L.J., Erkaymaz O., Uzuntarla M. Impact of synaptic noise and conductance state on spontaneous cortical firing. NeuroReport 2007, 18:1371-1374.
40. Ozer M., Perc M., Uzuntarla M. Stochastic resonance on Newman-Watts networks of Hodgkin-Huxley neurons with local periodic driving. Phys. Lett. A 2009, 373:964-968.
41. Ozer M., Uzuntarla M., Perc M., Graham L.J. Spike latency and jitter of neuronal membrane patches with stochastic Hodgkin-Huxley channels. J. Theor. Biol. 2009, 261(2009):83-92.
42. Perc M. Spatial decoherence induced by small-world connectivity in excitable media. New J. Phys. 2005, 7:252.
43. Perc M. Stochastic resonance on excitable small-world networks via a pacemaker. Phys. Rev. E 2007, 76:066203.
44. Perc M., Marhl M. Amplification of information transfer in excitable systems that reside in a steady state near a bifurcation point to complex oscillatory behavior. Phys. Rev. E 2005, 71:026229.
45. Pikovsky A.S., Kurths J. Coherence resonance in a noise-driven excitable system. Phys. Rev. Lett. 1997, 78:775-778.
46. Raastad M., Storm J.F., Andersen P. Putative single quantum and single fibre excitatory postsynaptic currents show similar amplitude range and variability in rat hippocampal slices. Eur. J. Neurosci. 1992, 4:113-117.
47. Rieke, F.M., Warland, D., Steveninck, R., de Ruyter van, Bialek, W., 1997. Spikes: Exploring the Neural Code. MIT Press, Cambridge.
48. Renart A., Brunel N., Wang X.J. Computational Neuroscience: A Comprehensive Approach 2009, 431-490. CRC Press, Boca Raton. J. Feng (Ed.).
49. Rosenmund C., Clement J.D., Westbrook G.L. Nonuniform probability of glutamate release at a hippocampal synapse. Science 1993, 262:754-757.
50. Schmid G., Goychuk I., Hanggi P. Stochastic resonance as a collective property of ion channel assemblies. Europhys. Lett. 2001, 56:22-28.
51. Smetters D.K., Zado A. Synaptic transmission: noisy synapses and noisy neurons. Curr. Biol. 1996, 6:1217-1218.
52. Song S., Miller K.D., Abbott L.F. Competitive Hebbian learning through spike-timing dependent synaptic plasticity. Nat. Neurosci. 2000, 3:919-926.
53. Stevens C.F., Wang Y. Facilitation and depression at single central synapses. Neuron 1995, 14:795-802.
54. Sullivan D.W., Levy W.B. Quantal synaptic failures improve performance in a sequence learning model of hippocampal CA3. Neurocomputing 2003, 52-54:397-401.
55. Sun X., Lei J., Perc M., Lu Q., Lv S.J. Effects of channel noise on firing coherence of small-world Hodgkin-Huxley neuronal networks. Eur. Phys. J. B 2011, 79:61-66.
56. Sun X., Perc M., Lu Q., Kurths J. Spatial coherence resonance on diffusive and small-world networks of Hodgkin-Huxley neurons. Chaos 2008, 18:023102.
57. Torcini A., Luccioli S., Kreuz T. Coherent Response of the Hodgkin-Huxley neuron in the high input regime. Neurocomputing 2007, 70:1943-1948.
58. Torres J.J., Marro J., Mejias J.F. Can intrinsic noise induce various resonant peaks?. New J. Phys. 2011, 13:053014.
59. Trommershäuser J., Marienhagen J., Zippelius A. Stochastic model of central synapses: slow diffusion of transmitter interacting with spatially distributed receptors and transporters. J. Theor. Biol. 1999, 198:101-120.
60. Tsodyks M., Pawelzik K., Markram H. Neural networks with dynamic synapses. Neural Comput. 1998, 10:821-835.
61. Ullner E., Zaikin A., Garca-Ojalvo J., Kurths J. Noise-induced excitability in oscillatory media. Phys. Rev. Lett. 2003, 91:180601.
62. Wang Q., Perc M., Duan Z., Chen G. Synchronization transitions on small-world neuronal networks: effects of information transmission delay and rewiring probability. Europhys. Lett. 2008, 83:50008.
63. Wang Q., Perc M., Duan Z., Chen G. Delay-enhanced coherence of spiral waves in noisy Hodgkin-Huxley neuronal networks. Phys. Lett. A 2008, 327:5681.
64. Wang Q., Perc M., Duan Z., Chen G. Synchronization transitions on scale-free neuronal networks due to finite information transmission delays. Phys. Rev. E 2009, 80:026206.
65. Wang Q., Perc M., Chen G. Synchronous bursts on scale-free neuronal networks with attractive and repulsive coupling. PLoS ONE 2011, 6:e15851.
66. Wang S., Wang W., Liu F. Propagation of firing rate in a feed-forward neuronal network. Phys. Rev. Lett. 2006, 96:018103.
67. Wang W., Wang Y., Wang Z.D. Firing and signal transduction associated with an intrinsic oscillation in neuronal systems. Phys. Rev. E. 1998, 57:R2527.
68. Yu Y., Liu F., Wang W. Frequency sensitivity in Hodgkin-Huxley systems. Biol. Cybern. 2001, 84:227-235.