119 citations · 1.1k across the 55 of their papers we have counts for
56 papers
Susceptibility for extremely low external fluctuations and critical behaviour of Greenberg-Hastings neuronal model
Joaquin Almeira, Daniel A. Martin, Dante R. Chialvo +1
We consider the scaling behaviour of the fluctuation susceptibility associated with the average activation in the Greenberg-Hastings neural network model and its relation to micros…
Mean-field solution of the neural dynamics in a Greenberg-Hastings model with excitatory and inhibitory units
Joaquin Almeira, Tomas S. Grigera, Daniel A. Martin +2
We present a mean field solution of the dynamics of a Greenberg-Hastings neural network with both excitatory and inhibitory units. We analyse the dynamical phase transitions that a…
Tricritical behavior in a neural model with excitatory and inhibitory units
Joaquin Almeira, Tomas S. Grigera, Dante R. Chialvo +1
While the support for the relevance of critical dynamics to brain function is increasing, there is much less agreement on the exact nature of the advocated critical point. Thus, a…
Scale-free correlations in the dynamics of a small (N ~ 10000) cortical network
Sabrina Camargo, Daniel A. Martin, Eyisto J. Aguilar Trejo +5
The advent of novel opto-genetics technology allows the recording of brain activity with a resolution never seen before. The characterisation of these very large data sets offers n…
Finite-size correlation behavior near a critical point: a simple metric for monitoring the state of a neural network
Eyisto J. Aguilar Trejo, Daniel A. Martin, Dulara De Zoysa +5
In this article, a correlation metric is proposed for the inference of the dynamical state of neuronal networks. is computed from the scaling of the correlation length…
Apparently similar neuronal dynamics may lead to different collective repertoire
Margarita M. Sánchez Díaz, Eyisto J. Aguilar Trejo, Daniel A. Martin +3
This report is concerned with the relevance of the microscopic rules, that implement individual neuronal activation, in determining the collective dynamics, under variations of the…