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TitleInterspike interval correlations in networks of inhibitory integrate-and-fire neurons.
Publication TypeJournal Article
Year of Publication2019
AuthorsBraun, Wilhelm, and Andre Longtin
JournalPhys Rev E
Volume99
Issue3-1
Pagination032402
Date Published2019 Mar
ISSN2470-0053
KeywordsAction Potentials, Animals, Computer Simulation, Models, Neurological, Neural Networks (Computer), Neurons, Synapses, Time Factors
Abstract

We study temporal correlations of interspike intervals, quantified by the network-averaged serial correlation coefficient (SCC), in networks of both current- and conductance-based purely inhibitory integrate-and-fire neurons. Numerical simulations reveal transitions to negative SCCs at intermediate values of bias current drive and network size. As bias drive and network size are increased past these values, the SCC returns to zero. The SCC is maximally negative at an intermediate value of the network oscillation strength. The dependence of the SCC on two canonical schemes for synaptic connectivity is studied, and it is shown that the results occur robustly in both schemes. For conductance-based synapses, the SCC becomes negative at the onset of both a fast and slow coherent network oscillation. We then show by means of offline simulations using prerecorded network activity that a neuron's SCC is highly sensitive to its number of presynaptic inputs. Finally, we devise a noise-reduced diffusion approximation for current-based networks that accounts for the observed temporal correlation transitions.

DOI10.1103/PhysRevE.99.032402
Alternate JournalPhys Rev E
PubMed ID30999498