Plasticity-induced characteristic changes of pattern dynamics and the related phase transitions in small-world neuronal networks

doi:10.1088/1674-1056/23/10/108703

Abstract Phase transitions widely exist in nature and occur when some control parameters are changed. In neural systems, their macroscopic states are represented by the activity states of neuron populations, and phase transitions between different activity states are closely related to corresponding functions in the brain. In particular, phase transitions to some rhythmic synchronous firing states play significant roles on diverse brain functions and disfunctions, such as encoding rhythmical external stimuli, epileptic seizure, etc. However, in previous studies, phase transitions in neuronal networks are almost driven by network parameters (e.g., external stimuli), and there has been no investigation about the transitions between typical activity states of neuronal networks in a self-organized way by applying plastic connection weights. In this paper, we discuss phase transitions in electrically coupled and lattice-based small-world neuronal networks (LBSW networks) under spike-timing-dependent plasticity (STDP). By applying STDP on all electrical synapses, various known and novel phase transitions could emerge in LBSW networks, particularly, the phenomenon of self-organized phase transitions (SOPTs): repeated transitions between synchronous and asynchronous firing states. We further explore the mechanics generating SOPTs on the basis of synaptic weight dynamics.

Keywords: spatiotemporal pattern self-organized phase transition small-world neuronal network spike-timing-dependent plasticity

Received: 13 May 2014
Revised: 20 August 2014
Accepted manuscript online:

PACS:	87.19.lp	(Pattern formation: activity and anatomic)
	87.19.lw	(Plasticity)
	87.15.Zg	(Phase transitions)
	87.19.lj	(Neuronal network dynamics)

Fund: Project supported by the National Natural Science Foundation of China (Grant Nos. 11135001 and 11174034).

Corresponding Authors: Hu Gang
E-mail: ganghu@bnu.edu.cn

About author: 87.19.lp; 87.19.lw; 87.15.Zg; 87.19.lj

Cite this article:

Huang Xu-Hui (黄旭辉), Hu Gang (胡岗) Plasticity-induced characteristic changes of pattern dynamics and the related phase transitions in small-world neuronal networks 2014 Chin. Phys. B 23 108703


[21]	Dugué G P, Brunel N, Hakim V, Schwartz E, Chat M, Lévesque M, Courtemanche R, Léna C and Dieudonné S 2009 Neuron 61 126

[1]	Kermack W O and McKendrick A G 1927 Proc. Roy. Soc. London Ser. A 115 700

[2]	Pei W, Chen Z and Yuan Z 2008 Chin. Phys. B 17 373

[3]	Wang W, Liu H, Cai Y and Li Z 2011 Chin. Phys. B 20 074702

[22]	D'Angelo E, Mazzarello P, Prestori F, Mapelli J, Solinas S, Lombardo P, Cesana E, Gandolfi D and Congi L 2011 Brain Research Reviews 66 5

[4]	Mishra B K and Jha N 2010 Appl. Math. Model. 34 71

[23]	Traub R D, Cunningham M O and Whittington M 2011 Neural Networks 71 92

[5]	Lahrouz A, Omari L and Kiouach D 2011 Nonlinear Analysis: Modelling and Control 16 59

[24]	Perez Velazquez J L and Carlen P L 2000 Trends in Neurosciences 23 68

[6]	Beretta E, Kolmanovskii V and Shaikhet L 1998 Math. Comput. Simul. 45 269

[25]	Levina A, Herrmann J M and Geisel T 2009 Phys. Rev. Lett. 102 118110

[26]	Hoshino O, Kashimori Y and Kambara T 1996 Proc. Natl. Acd. Sci. USA 93 3303

[27]	Qian Y, Liao X H, Huang X D, Mi Y Y, Zhang L S and Hu G 2010 Phys. Rev. E 82 026107

[7]	Shaikhet L 1998 Stab. Control Theory Appl. 1 3

[28]	Gu W F, Liao X H, Zhang L S, Huang X H, Hu G and Mi Y Y 2013 Europhys. Lett. 102 28001

[29]	Mi Y Y, Liao X H, Huang X H, Zhang L S, Gu W F, Hu G and Wu S 2013 Proc. Natl. Acd. Sci. USA 110 E4931

[8]	Carletti M 2002 Math. Biosci. 175 117

[30]	Pereda A E and Faber D S 1996 J. Neurosci. 16 983

[9]	Sarkar R R and Banerjee S 2005 Math. Biosci. 196 65

[31]	Pereda A E, Curti S, Hoge G, Cachope R, Flores C E and Rash J E 2013 Biochimica et Biophysica Acta 1828 134

[1]	Self-sustained firing activities of the cortical network with plastic rules in weak AC electrical fields Qin Ying-Mei(秦迎梅), Wang Jiang(王江), Men Cong(门聪), Zhao Jia(赵佳), Wei Xi-Le(魏熙乐), and Deng Bin(邓斌) . Chin. Phys. B, 2012, 21(7): 078702.
[2]	Complete and phase synchronization in a heterogeneous small-world neuronal network Han Fang(韩芳), Lu Qi-Shao(陆启韶), Wiercigroch Marian, and Ji Quan-Bao(季全宝). Chin. Phys. B, 2009, 18(2): 482-488.
[3]	ORDER AND CHAOS IN NATURE-PHENOMENA AT SURFACES R.Imbihl. Chin. Phys. B, 2001, 10(13): 124-131.

No Suggested Reading articles found!

Viewed

Full text

Abstract

Cited

Metrics
Related Articles

Plasticity-induced characteristic changes of pattern dynamics and the related phase transitions in small-world neuronal networks

Cite this article:

Online attention