TY  - JOUR
A1  - Gomez-Gardeñes, Jesús
A1  - Zamora-Lopez, Gorka
A1  - Moreno, Yamir
A1  - Arenas, Alexandre
T1  - From modular to centralized organization of synchronization in functional areas of the cat cerebral cortex
N2  - Recent studies have pointed out the importance of transient synchronization between widely distributed neural assemblies to understand conscious perception. These neural assemblies form intricate networks of neurons and synapses whose detailed map for mammals is still unknown and far from our experimental capabilities. Only in a few cases, for example the C. elegans, we know the complete mapping of the neuronal tissue or its mesoscopic level of description provided by cortical areas. Here we study the process of transient and global synchronization using a simple model of phase-coupled oscillators assigned to cortical areas in the cerebral cat cortex. Our results highlight the impact of the topological connectivity in the developing of synchronization, revealing a transition in the synchronization organization that goes from a modular decentralized coherence to a centralized synchronized regime controlled by a few cortical areas forming a Rich-Club connectivity pattern.
Y1  - 2010
UR  - http://www.pubmedcentral.nih.gov/tocrender.fcgi?action=archive&journal=440
U6  - https://doi.org/10.1371/journal.pone.0012313
SN  - 1932-6203
ER  - 
TY  - JOUR
A1  - Arenas, Alexandre
A1  - Borge-Holthoefer, Javier
A1  - Gomez, Sergio
A1  - Zamora-Lopez, Gorka
T1  - Optimal map of the modular structure of complex networks
N2  - The modular structure is pervasive in many complex networks of interactions observed in natural, social and technological sciences. Its study sheds light on the relation between the structure and the function of complex systems. Generally speaking, modules are islands of highly connected nodes separated by a relatively small number of links. Every module can have the contributions of links from any node in the network. The challenge is to disentangle these contributions to understand how the modular structure is built. The main problem is that the analysis of a certain partition into modules involves, in principle, as much data as the number of modules times the number of nodes. To confront this challenge, here we first define the contribution matrix, the mathematical object containing all the information about the partition of interest, and then we use truncated singular value decomposition to extract the best representation of this matrix in a plane. The analysis of this projection allows us to scrutinize the skeleton of the modular structure, revealing the structure of individual modules and their interrelations.
Y1  - 2010
UR  - http://iopscience.iop.org/1367-2630
U6  - https://doi.org/10.1088/1367-2630/12/5/053009
SN  - 1367-2630
ER  -