Noise-induced spatiotemporal patterns in Hodgkin-Huxley neuronal network

Cognitive Neurodynamics

Volumn 7, Issue 5, 2013, Pages 431-440

  Wu, Ying ^a   Li, Jiajia ^a   Liu, Shaobao ^a   Pang, Jiazhi ^b   Du, Mengmeng ^c   Lin, Pan ^a  

^a XI'AN JIAOTONG UNIVERSITY   (China)

^b BEIJING INSTITUTE OF TECHNOLOGY   (China)

^c XI'AN UNIVERSITY OF TECHNOLOGY   (China)

Author keywords

Excitable; Neuronal networks; Noise; Spatiotemporal patterns; Subexcitable

Indexed keywords

ARTICLE; HODGKIN HUXLEY EQUATION; MATHEMATICAL MODEL; MEMBRANE POTENTIAL; NERVE CELL; NERVE CELL NETWORK; NERVE EXCITABILITY; NOISE; PERIODICITY; SIMULATION; SPATIOTEMPORAL ANALYSIS; WAVEFORM;

EID: 84885186894     PISSN: 18714080     EISSN: 18714099     Source Type: Journal    
DOI: 10.1007/s11571-013-9245-1     Document Type: Article

References (45)

1. Alonso S, Sagués F, Sanchom JM (2002a) Excitability transitions and wave dynamics under spatiotemporal structured noise. Phys Rev E 65:066107
2. Alonso S, Sendiña-Nadal I, Pérez-Muñuzuri V, Sancho JM, Sagués F (2002) Regular wave propagation out of noise in chemical active media. Phys Rev Lett 87:078302
3. Brusch L, Nicola ME, Bar M (2004) Comment on antispiral waves in reaction-diffusion systems. Phys Rev Lett 92:89801
4. Buceta J, Ibanes M, et al (2003) Noise-driven mechanism for pattern formation. Phys Rev E 67:021113
5. Bursac N, Aguel F, Tung L (2004) Multiarm spirals in a two-dimensional cardiac substrate. In: Proceedings of the national academy of sciences of the United States of America, vol 101, no. 43, p 15530
6. Davidenko JM, Pertsov R, Salomonsz AV, Baxter W, Jalife J (1992) Stationary and drifting spiral waves of excitation in isolated cardiac muscle. Nature 355:349-351
7. Du Y, Lu QS, Wang RB (2010) Using interspike intervals to quantify noise effects on spike. Cogn Neurodyn 4:199-206
8. Garca-Ojalvo J, Schimansky-Geier L (2000) Excitable structures in stochastic bistable media. J Stat Phys 101:473-481
9. Garca-Ojalvo J, Sagues F, Sancho JM, Schimansky-Geier L (2001) Noise-enhanced excitability in bistable activator-inhibitor media. Phys Rev E 65:011105
10. Garcia-Ojalvo J, Schimansky-Geier L (1998) Noise-induced spiral dynamics in excitable media. Eur phys Lett 47:298
11. Garcia-Ojalvo J, Hernandez-Machado A, Sancho JM (1993) Effects of external noise on the Swift-Hohenberg equation. Phys Rev Lett 71:1542-1545
12. Garfinkel A, Kim YH, Voroshilovsky O, Qu Z, Kil JR, Lee MH, Karagueuzian HS, Weiss JN, Chen PS (2000) Preventing ventricular fibrillation by flattening cardiac restitution. In: Proceedings of the national academy of sciences of the United States of America, vol 97, no. 11, p 6061
13. He DH, Shi PL, Stone L (2003) Noise-induced synchronization in realistic models. Phys Rev E 67:027201
14. Hempel H, Schimansky-Geier L, Garcia-Ojalvo J (1999) Noise-sustained pulsating patterns and global oscillations in subexcitable media. Phys Rev Lett 82:3713-3716
15. Hildebrand M, Bar M et al (1995) Statistics of topological defects and spatiotemporal chaos in a reaction-diffusion system. Phys Rev Lett 75:1503-1506
16. Hodgkin AL, Huxley AF (1952) A quantitative description of membrane current and its application to conduction and excitation in nerve. J phys 117:500
17. Hou ZH, Xin HW (2002) Noise-sustained spiral waves: effect of spatial and physics review letter, temporal memory. Phys Rev Lett 89:280601
18. Huang X, Troy WC, Yang Q, Ma H, Laing CR, Schiff SJ, Wu JY (2004) Spiral waves in disinhibited mammalian neocortex. J Neurosci 24:9897-9902
19. Huang XY, Xu W, Liang J, Takagaki K, Gao X, Wu JY (2010) Spiral wave dynamics in neocortex. Neuron 68(5):978-990
20. Jalife J (2000) Ventricular fibrillation: mechanisms of initiation and maintenance. Ann Rev Physiol 62(1):25-50
21. Jia X, Liao HM, Zhou LQ, Ouyang Q (2004) Properties of wave propagations induced by temporal noise in a subexcitable medium. Phys D Nonlinear Phenom 199:194-200
22. Jung P, Cornell-Bell A, Moss F, Kadar S, Wang J, Showalter K (1998) Noise sustained waves in subexcitable media: from chemical waves to brain waves. Chaos 8(3):567-575
23. Kadar S, Wang J (1998) Noise-supported travelling waves in subexcitable media. Nature 391:770-772
24. Kiss IZ, Zhai Y, Hudson JL, Zhou C, Kurths J (2003) Noise enhanced phase synchronization and coherence resonance in sets of chaotic oscillators with weak global coupling. Chaos 13:267-278
25. Li YY, Zhang HM, Wei CL, Yang MH, Gu HG, Ren W (2009) Stochastic signal induced multiple spatial coherence resonances and spiral waves in excitable media. Chin Phys Lett 26(3):030504
26. Li YY, Jia B, Gu HG (2012) Multiple spatial coherence resonances induced by white gaussian noise in excitable network composed of Morris-Lecar model with class excitability. Acta Phys Sin 61(7):070504
27. Lindner B, Garça-Ojalvo J, Neiman A, Schimansky-Geier L (2004) Effects of noise in excitable systems. Phys Rep 392:321-424
28. Liu ZQ, Zhang HM, Li YY, Hua CC, Gu HG, Ren W (2010) Multiple spatial coherence resonance induced by stochastic signal in neuronal networks near a saddle-node bifurcation. Phys A 389:2642-2653
29. Ma J, Jia Y, Tang J, Yang LJ (2008) Breakup of spiral waves in the coupled Hindmarsh-Rose neurons Chin. Phys Lett 25:4325-4328
30. Neiman AB, Russell DF (2002) Synchronization of noise-induced bursts in noncoupled sensory neurons. Phys Rev Lett 88:138103
31. Ouyang Q, Felesselles JM (1996) Transition from spirals to defect turbulence driven by a convective instability. Nature 379:143-146
32. Perc M (2005) Spatial coherence resonance in excitable media. Phys Rev E 72:016207
33. Qu JY, Wang RB, Du Y, Cao JT (2012) Synchronization study in ring-like and grid-like neuronal network. Cogn Neurodyn 6:21-31
34. Sagues F, Sancho JM, Garca-Ojalvo J (2007) Spatiotemporal order out of noise. Rev Mod Phys 79:829-882
35. Sendiña-Nadal I, Muñuzuri AP, Vives D, Pérez- Muñuzuri V, Casademunt J, Ramírez-Piscina L, Sancho JM, Sagués F (1998) Wave propagation in a medium with disordered excitability. Phys Rev Lett 80:5437-5440
36. Shi X, Wang QY, Lu QS (2008) Firing synchronization and temporal order in noisy neuronal. Cogn Neurodyn 2:195-206
37. Tang Z, Li YY, Xi L, Jia B, Gu HG (2012) Spiral waves and multiple spatial coherence resonances induced by the colored noise in neuronal network. Commun Theor Phys 57(1):61-67
38. Ullner E, Zaikin A, Garca-Ojalvo J, Kurths J (2003) Noise-induced excitability in oscillatory media. Phys Rev Lett 91(18):180601
39. Vanag VK, Epstein IR (2001) Inwardly rotating spiral waves in a reaction-diffusion system. Science 294:835-837
40. Wang JC, Kádár S, Jung P, Showalter K (1999) Noise-driven avalanche behavior in subexcitable media. Phys Rev Lett 82:855-858
41. Wu JY, Huang XY, Zhang C (2008) Propagating waves of activity in the neocortex: what they are what they do. Neuroscientist 14(5):487-502
42. Xie FG, Xie DZ, et al (2006) Inwardly rotating spiral wave breakup in oscillatory reaction-diffusion media. Phys Rev E 74:026107
43. Wu Y, Xu JX, Jin WY, Hong L (2007) Detection of mechanism of noise-induced synchronization between two identical uncoupled neurons. Chin Phys Lett 24:3066-3069
44. Zhou C, Kurths J (2002) Noise-induced phase synchronization and synchronization transitions in chaotic oscillators. Phys Rev Lett 88:230602
45. Zhou LQ, Ouyang Q (2000) Experimental studies on long-wavelength instability and spiral breakup in a reaction-diffusion system. Phys Rev Lett 85:1650-1653