Volume 88, Number 5, December 2009
|Number of page(s)||5|
|Published online||07 December 2009|
Architectural and functional connectivity in scale-free integrate-and-fire networks
Mathematical Sciences Department, Rensselaer Polytechnic Institute - 110 8th Street, Troy, NY 12180, USA
2 Courant Institute of Mathematical Sciences, New York University - 251 Mercer Street, New York, NY 10012, USA
3 Department of Mathematics, Shanghai Jiao Tong University - Dong Chuan Road 800, Shanghai 200240, China
Corresponding author: email@example.com
Accepted: 9 November 2009
Using integrate-and-fire networks, we study the relationship between the architectural connectivity of a network and its functional connectivity as characterized by the network's dynamical properties. We show that dynamics on a complex network can be controlled by the topology of the network, in particular, scale-free functional connectivity can arise from scale-free architectural connectivity, in which the architectural degree correlation plays a crucial role.
PACS: 05.20.Dd – Classical statistical mechanics: Kinetic theory / 87.19.lp – Neuroscience: Pattern formation: activity and anatomic / 87.19.lj – Neuronal network dynamics
© EPLA, 2009
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