Abstract
Recent experiments found that the spontaneous cortical activity showed a dynamic firing pattern called neuronal avalanches, in which the distribution of firing activity followed a power law and the firing pattern was accompanied by nested \(\theta \)-and \(\beta \)-/\(\gamma \)-oscillations. These results provided important evidence that neural oscillations could be formed during neuronal avalanches. The relationship between neuronal avalanches and oscillations has not been discussed in previous models. In this paper, we analyzed the relationship between neuronal avalanches and nested oscillations. Our results showed that the excitation-inhibition balance was a crucial mechanism for the formation of oscillation, but it was not enough for neuronal avalanches. The excitation-inhibition balance and synaptic plasticity were both necessary for a neural network to access the critical state and form neuronal avalanches. With the dynamic excitatory and inhibitory synaptic transmission processes and STDP rule, neuronal avalanches and nested oscillations could emerge simultaneously in a neural network.
The paper was supported by MOE (Ministry of Education in China) Youth Fund Project of Humanities and Social Sciences (Project No.11YJC840006) and Fundamental Research Funds for the Central Universities (Fund number: 2013YB76).
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References
Beggs, J.M., Plenz, D.: Neuronal Avalanches in Neocortical Circuits. J. Neurosci. 23, 11167–11177 (2003)
Petermann, T., Thiagarajan, T.C., Lebedev, M.A., Nicolelis, M., Chialvo, D.R., Plenz, D.: Spontaneous Cortical Activity in Awake Monkeys Composed of Neuronal Avalanches. A-4658-2009. Proc. Natl. Acad. Sci. USA 106(37), 15921–15926 (2009)
Yang, H.D., Shew, W.L., Roy, R., Plenz, D.: Maximal Variability of Phase Synchrony in Cortical Networks with Neuronal Avalanches. J. Neurosci. 32, 1061–1072 (2012)
Pasquale, V., Massobrio, P., Bologna, L.L., Chiappalonea, M., Martinoia, S.: Self-Organization and Neuronal Avalanches in Networks of Dissociated Cortical Neurons. Neuroscience 153, 1354–1369 (2008)
Girees, E.D., Plenz, D.: Neuronal Avalanches Organize as Nested Theta- and Beta/Gamma-Oscillations during Development of Cortical Layer 2/3. Proc. Natl. Acad. Sci. USA 105, 7576–7581 (2008)
Shew, W.L., Plenz, D.: The Functional Benefits of Criticality in the Cortex. Neuroscient. 19(1), 88–100 (2013)
Plenz, D., Thiagarajan, T.C.: The Organizing Principles of Neuronal Avalanches: Cell Assemblies in The Cortex? Tren. Neurosci. 30(3), 101–110 (2007)
Chialvo, D.R.: Emergent Complex Neural Dynamics. Nature Physics 6(10), 744–750 (2010)
Buzsaki, G., Wang, X.-J.: Mechanisms of Gamma Oscillations. Annu. Rev. Neurosci. 35, 203–225 (2012)
Ainsworth, M., Lee, S., Cunningham, M.O., Traub, R.D., Kopell, N.J., Whittington, M.A.: Rates and Rhythms: A Synergistic View of Frequency and Temporal Coding in Neuronal Networks. Neuron 75, 572–583 (2012)
Klaus, A., Yu, S., Plenz, D.: Statistical Analyses Support Power Law Distributions Found in Neuronal Avalanches. PLoS One 6, e19779 (2011)
Abbott L.F., Rohrkemper R.: A Simple Growth Model Constructs Critical Avalanche Networks. Comput. Neurosci.: Theo. Insi. Brain Func. 165, 13–19 (2007)
Sato, Y.D.: An Optimal Power-Law for Synchrony and Lognormally Synaptic Weighted Hub Networks. Chin. Phys. Lett. 30, 098701 (2013)
Abbott, L.F., Regehr, W.G.: Synaptic Computation. Nature 431(7010), 796–803 (2004)
Wu, J.J.S., Chang, W.P., Shih, H.C., Yen, C.T., Shyu, B.C.: Cingulate Seizure-Like Activity Reveals Neuronal Avalanche Regulated by Network Excitability and Thalamic Inputs. BMC Neurosci. 15, 3 (2014)
Brunel, N., Wang, X.-J.: What Determines the Frequency of Fast Network Oscillations with Irregular Neural Discharges? I. Synaptic Dynamics and Excitation-Inhibition Balance. J. Neurophysiol. 90, 415–430 (2003)
Izhikevich, E.M.: Polychronization: Computation with Spikes. Neural Comput. 18, 245–282 (2006)
Bi, G.Q., Poo, M.M.: Synaptic Modification by Correlated Activity: Hebb’s Postulate Revisited. Ann. Rev. Neurosci. 24, 139–166 (2001)
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Liu, Y., Chen, J., Chen, L. (2014). The Relationship between Neural Avalanches and Neural Oscillations. In: Zeng, Z., Li, Y., King, I. (eds) Advances in Neural Networks – ISNN 2014. ISNN 2014. Lecture Notes in Computer Science(), vol 8866. Springer, Cham. https://doi.org/10.1007/978-3-319-12436-0_6
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