Role of membrane potential fluctuations to the criticality of neuronal avalanche activity

Juanico, Dr Dranreb Earl (2007) Role of membrane potential fluctuations to the criticality of neuronal avalanche activity. [Preprint]

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Experimental evidence for self-organised criticality (SOC) in non-conservative systems has recently been found in studies of rat cortical slices. The size distribution of observed neuronal avalanches has been attested to obey $3/2$ power-law scaling. A mean-field sandpile model of a noisy neuronal system is proposed to refute the irreconcilability between non-conservation and criticality put forward by longstanding SOC hypotheses. The model predicts that neuronal networks achieve and maintain criticality despite non-conservation due to the presence of background activity originating from membrane potential fluctuations within individual neurons. Furthermore, small networks are demonstrated to tip towards epileptiform activity when background activity is strong. This finding ties in redundancy, an intriguing feature of brain networks, to robustness of SOC behaviour.

Item Type:Preprint
Keywords:self-organized criticality, neuronal avalanche, background activity, membrane potential fluctuation
Subjects:Neuroscience > Biophysics
Neuroscience > Neural Modelling
ID Code:5501
Deposited By:Juanico, Dr Dranreb Earl
Deposited On:26 Apr 2007
Last Modified:11 Mar 2011 08:56

References in Article

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[1] Beggs J M and Plenz D 2003 J. Neurosci. 23 11167

[2] Beggs J M and Plenz D 2004 J. Neurosci. 24 5216

[3] Vogels T P and Abbott L F 2005 J. Neurosci. 25 10786

[4] Galarreta M and Hestrin S 1998 Nature Neurosci. 1 587

[5] Tsuchiya T and Katori M 2000 Phys. Rev. E 61 1183

[6] Drossel B 2002 Phys. Rev. Lett. 89 238701

[7] Pinho STR and Prado CPC 2003 Braz. J. Phys. 33 476

[8] Boulter C J and Miller G 2003 Phys. Rev. E 68 056108

[9] Socola J E S, Grinstein G and Jayaprakash C 1993 Phys. Rev. E 47 2366

[10] Haldeman C and Beggs J M 2005 Phys. Rev. Lett. 94 058101

[11] Zapperi S, Lauritsen K B and Stanley H E 1995 Phys. Rev. Lett. 75 10786: 4071

[12] Lauritsen K B, Zapperi S and Stanley H E 1996 Phys. Rev. E 54 2483

[13] Loreto V, Pietronero L, Vespignani A and Zapperi S 1995 Phys. Rev. Lett. 75 465

[14] Purves D et al , eds. 2004 Neuroscience, Third ed. (Sunderland, MA: Sinauer Associates)

[15] Manna S S 1991 J. Phys. A: Math. Gen. 24 L363

[16] Vespignani A and Zapperi S 1998 Phys. Rev. E 57 6345

[17] Kang S, Kitano K and Fukai T 2004 Neural Networks 17 307

[18] Mahon S, Cassasus G, Mulle C and Charpier S 2003 J. Physiol. 550 947

[19] Destexhe A and Conteras D 2006 Science 314 85

[20] Meunier C and Segev I, in Moss F and Gielen S, eds. 2000 Handbook of Biological Physics 4 426

(Amsterdam: Elsevier)

[21] Kish L B, Harmer G P and Abbott D 2001 Fluct. Noise Lett. 1 L13

[22] Longtin A 2002 Fluct. Noise Lett. 2 L183

[23] Ginzburg S L and Pustovoit M A 2003 Fluct. Noise Lett. 3 L265

[24] Arecchi F T 2005 Fluct. Noise Lett. 5 L163

[25] Harris T E 1963 The Theory of Branching Processes (Berlin: Springer-Verlag)

[26] Strogatz S H 1994 Nonlinear Dynamics and Chaos: With Applications to Physics, Biology,

Chemistry, and Engineering (Reading, MA: Perseus Books)


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