TY - JOUR
T1 - Diagrammatic expansion of pulse-coupled network dynamics in terms of subnetworks
AU - Rangan, Aaditya V.
PY - 2009/9/1
Y1 - 2009/9/1
N2 - We introduce a framework wherein various measurements of a pulse-coupled network's stationary dynamics can be expanded in terms of the network's connectivity. Such measurements include the occurrence rate of pulses (e.g., firing rates within a neuronal network) as well as higher-order correlations in activity between various nodes in the network. The various terms in this expansion can be interpreted as diagrams corresponding to subnetworks of the original network, which span both space (in terms of the network's graph) as well as time (in the sense of causality).
AB - We introduce a framework wherein various measurements of a pulse-coupled network's stationary dynamics can be expanded in terms of the network's connectivity. Such measurements include the occurrence rate of pulses (e.g., firing rates within a neuronal network) as well as higher-order correlations in activity between various nodes in the network. The various terms in this expansion can be interpreted as diagrams corresponding to subnetworks of the original network, which span both space (in terms of the network's graph) as well as time (in the sense of causality).
UR - http://www.scopus.com/inward/record.url?scp=70349525168&partnerID=8YFLogxK
UR - http://www.scopus.com/inward/citedby.url?scp=70349525168&partnerID=8YFLogxK
U2 - 10.1103/PhysRevE.80.036101
DO - 10.1103/PhysRevE.80.036101
M3 - Article
AN - SCOPUS:70349525168
SN - 1063-651X
VL - 80
JO - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
JF - Physical Review E - Statistical Physics, Plasmas, Fluids, and Related Interdisciplinary Topics
IS - 3
M1 - 036101
ER -