Neuronal avalanches: Where temporal complexity and criticality meet
The model of the current paper is an extension of a previous publication, wherein we have used the leaky integrate-and-fire model on a regular lattice with periodic boundary conditions, and introduced the temporal complexity as a genuine signature of criticality. In that work, the power-law distribution of neural avalanches was a manifestation of supercriticality rather than criticality. Here, however, we show that the continuous solution of the model and replacing the stochastic noise with a Gaussian zero-mean noise leads to the coincidence of power-law display of temporal complexity, and spatiotemporal patterns of neural avalanches at the critical point. We conclude that the source of inconsistency may be a numerical artifact originated by the discrete description of the model which may imply a slow numerical convergence of the avalanche distribution compared to temporal complexity.
KeywordsLiving systems: Structure and Function
- 3.J.M. Beggs, D. Plenz, J. Neurosci. 23, 11167 (2003)Google Scholar
- 34.A. Politi, S. Luccioli, Dynamics of networks of leaky-integrate-and-fire neurons, in Network Science, edited by E. Estrada, M. Fox, D.J. Higham, G.-L. Oppo (Springer, Berlin, 2010) pp. 217--242Google Scholar
- 36.K. Christensen, N.R. Moloney, Complexity and Criticality, Vol. 1 (Imperial College Press, London, 2005)Google Scholar