Work Package: WP6
Deliverable: 15.1: “Identification of collective solutions in scale free networks”
Deliverable due date: month 28
This document reports on the progress of work on Deliverable 15.1. All the planned tasks related to this Deliverable have been accomplished. Obtained results have led to the publication of two scientific articles published in the peer reviewed journals “Chaos Soliton and Fractals” in October 2014 and “Physical Review E” in February 2015. Namely,
1) D. Angulo-Garcia and A. Torcini, "Stable chaos in fluctuation driven neural circuits", Chaos,solitons and fractals 69, 233-245 (2014) the article can be downloaded from http://wwwold.fi.isc.cnr.it/users/alessandro.torcini/ARTICOLI/agt_cst2014.pdf
2) D. Angulo-Garcia and A. Torcini, "Stochastic mean field formulation of the dynamics of diluted neural networks", Phys. Rev. E 91, 022928 (2015), the article can be downloaded from http://wwwold.fi.isc.cnr.it/users/alessandro.torcini/ARTICOLI/agt_pre2015.pdf
These publications are a scientific part of the Deliverable 15.1 and this “Project Deliverable Report” document focuses on their relations to the NETT proposal. In the NETT 289146 Grant Annex, we stated in the context of Deliverable 15.1, and 15.2: “The principal aim of these projects is to study collective emergent dynamics in neural networks where neurons are represented by means of simple models. P15 plans to realise cultured neuronal networks with predefined topologies and to investigate, by employing multi electrode arrays technique, the possible emergence of coherent states in networks of cultured rat neurons.”
In the aforementioned publications we considered the collective dynamics in excitatory and inhibitory neural networks with different topologies, ranging from sparse to fully connected networks. In particular, we studied the stability of collective dynamics with respect to noise, as well as to infinitesimal and finite perturbations. In the first paper, we reported a possible interpretation of a recent experimental work where it has been shown that manipulation even of a single spike in a cortex circuit of a rat may induce large modifications in the neural activity (London et al., Nature, 2010). In the second we introduced a new framework for the interpretation of the dynamics of networks with sparse topologies, analogous to those found in the brain, in terms of stochastic mean fields.
In such a way we accomplish Deliverable 15.1 and in particular the study of “collective emergent dynamics in neural networks where neurons are represented by means of simple models” and of “neuronal networks with predefined topologies to investigate the possible emergence of coherent states in networks [of cultured rat neurons.]”. The remaining part of P15 will be reported in Deliverable 15.2.
Contributors: David Angulo-Garcia, Alessandro Torcini (CNR)