Volume 13 Supplement 1
Motif statistics and spike correlations in neuronal networks
© Hu et al; licensee BioMed Central Ltd. 2012
Published: 16 July 2012
Motifs are patterns of subgraphs that are the building blocks of complex networks. Recent experiments have characterized the frequencies with which different motifs occur in biological neural networks, and found remarkable deviations from what we would expect if the networks were randomly connected . Here, we study the impact of such patterns of connectivity on the level of correlated, or synchronized, spiking activity among pairs of cells. Correlations in spiking activity have been shown to strongly impact the neural coding of information.
We use a linear, stochastic model of recurrent networks. A cell’s time-dependent firing rate is perturbed from its baseline level by convolution of a response kernel and the input signal from presynaptic neurons. Each neuron generates spikes as an inhomogeneous Poisson process. Previous studies have shown that such models can capture pairwise correlations in integrate and fire networks [2, 3], and they are closely related to spike response and Hawkes models [4, 6].
- Song S, Sjostrom PJ, Reigl M, Nelson S, Chklovskii DB: Highly nonrandom features of synaptic connectivity in local cortical circuits. PLoS Biol. 2005, 3 (3): e68-10.1371/journal.pbio.0030068.PubMed CentralView ArticlePubMedGoogle Scholar
- Lindner B, Doiron B, Longtin A: Theory of oscillatory firing induced by spatially correlated noise and delayed inhibitory feedback. Phys Rev E. 2005, 72 (6): 061919-View ArticleGoogle Scholar
- Trousdale J, Hu Y, Shea-Brown E, Josić K: Impact of network structure and cellular response on spike time correlations. PLoS Biol. to appear
- Pernice V, Staude B, Cardanobile S, Rotter S: How structure determines correlations in neuronal networks. PLoS Comput Biol. 2011, 7 (5): e1002059-10.1371/journal.pcbi.1002059.PubMed CentralView ArticlePubMedGoogle Scholar
- Zhao L, Beverlin B, Neto T, Nykamp DQ: Synchronization from second order network connectivity statistics. Front Comput Neurosci. 2011, 5: 1-16.View ArticleGoogle Scholar
- Gerstner W, Kistler W: Spiking Neuron Models. 2002, Cambridge: Cambridge University PressView ArticleGoogle Scholar