Issue
EPL
Volume 88, Number 5, December 2009
Article Number 50001
Number of page(s) 5
Section General
DOI http://dx.doi.org/10.1209/0295-5075/88/50001
Published online 07 December 2009
EPL, 88 (2009) 50001
DOI: 10.1209/0295-5075/88/50001

Architectural and functional connectivity in scale-free integrate-and-fire networks

M. S. Shkarayev1, G. Kovačič1, A. V. Rangan2 and D. Cai2, 3

1   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

cai@cims.nyu.edu

received 18 September 2009; accepted in final form 9 November 2009; published December 2009
published online 7 December 2009

Abstract
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