Title
Linking structure and activity in nonlinear spiking networks.
Abstract
Recent experimental advances are producing an avalanche of data on both neural connectivity and neural activity. To take full advantage of these two emerging datasets we need a framework that links them, revealing how collective neural activity arises from the structure of neural connectivity and intrinsic neural dynamics. This problem of structure-driven activity has drawn major interest in computational neuroscience. Existing methods for relating activity and architecture in spiking networks rely on linearizing activity around a central operating point and thus fail to capture the nonlinear responses of individual neurons that are the hallmark of neural information processing. Here, we overcome this limitation and present a new relationship between connectivity and activity in networks of nonlinear spiking neurons by developing a diagrammatic fluctuation expansion based on statistical field theory. We explicitly show how recurrent network structure produces pairwise and higher-order correlated activity, and how nonlinearities impact the networks' spiking activity. Our findings open new avenues to investigating how single-neuron nonlinearities-including those of different cell types-combine with connectivity to shape population activity and function.
Year
DOI
Venue
2017
10.1371/journal.pcbi.1005583
PLOS COMPUTATIONAL BIOLOGY
Field
DocType
Volume
Computational neuroscience,Population,ENCODE,Nonlinear system,Information processing,Random neural network,Computer science,Artificial intelligence,Winner-take-all,Spiking neural network
Journal
13
Issue
ISSN
Citations 
6
1553-7358
5
PageRank 
References 
Authors
0.47
16
4
Name
Order
Citations
PageRank
Gabriel Koch Ocker1131.33
Kresimir Josić2365.49
Eric Shea-Brown332337.92
Michael Buice4121.97