Excitation/Inhibition Patterns in a System of Coupled Cortical Columns

We study how excitation and inhibition are distributed mesoscopically in small brain regions, by means of a computational model of coupled cortical columns described by neural mass models. Two cortical columns coupled bidirectionally through both excitatory and inhibitory connections can spontaneously organize in a regime in which one of the columns is purely excitatory and the other is purely inhibitory, provided the excitatory and inhibitory coupling strengths are adequately tuned. We also study the case of three columns in different coupling configurations (linear array and all-to-all coupling), finding abrupt transitions between heterogeneous and homogeneous excitatory/inhibitory patterns and strong multistability in their distribution.

[1]  Wolf Singer,et al.  Neuronal Synchrony: A Versatile Code for the Definition of Relations? , 1999, Neuron.

[2]  L. Kristiansson,et al.  Performance of a model for a local neuron population , 1978, Biological Cybernetics.

[3]  H. Sompolinsky,et al.  Chaos in Neuronal Networks with Balanced Excitatory and Inhibitory Activity , 1996, Science.

[4]  Jordi García-Ojalvo,et al.  Effect of Feedback Strength in Coupled Spiking Neural Networks , 2008, ICANN.

[5]  Alessandro E. P. Villa,et al.  Dynamic transitions in global network activity influenced by the balance of excitation and inhibition , 1997 .

[6]  Haim Sompolinsky,et al.  Chaotic Balanced State in a Model of Cortical Circuits , 1998, Neural Computation.

[7]  Ben H. Jansen,et al.  Electroencephalogram and visual evoked potential generation in a mathematical model of coupled cortical columns , 1995, Biological Cybernetics.

[8]  Daniel J. Amit,et al.  Modeling brain function: the world of attractor neural networks, 1st Edition , 1989 .

[9]  J. M. Sancho,et al.  Noise in spatially extended systems , 1999 .

[10]  E. Callaway,et al.  Excitatory cortical neurons form fine-scale functional networks , 2005, Nature.

[11]  F. H. Lopes da Silva,et al.  Model of brain rhythmic activity , 1974, Kybernetik.

[12]  M. E. Galassi,et al.  GNU SCIENTI C LIBRARY REFERENCE MANUAL , 2005 .

[13]  Kevan A. C. Martin,et al.  A Canonical Microcircuit for Neocortex , 1989, Neural Computation.

[14]  T. Blackstad,et al.  Pyramidal neurones of the dorsal cochlear nucleus: A golgi and computer reconstruction study in cat , 1984, Neuroscience.

[15]  M. Sur,et al.  Invariant computations in local cortical networks with balanced excitation and inhibition , 2005, Nature Neuroscience.

[16]  Peter Jung,et al.  Noise in Spatially Extended Systems , 2001 .

[17]  John D. Hunter,et al.  Matplotlib: A 2D Graphics Environment , 2007, Computing in Science & Engineering.