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Firing rate equations require a spike synchrony mechanism to correctly describe fast oscillations in inhibitory networks.
- Source :
- PLoS Computational Biology; 12/29/2017, Vol. 13 Issue 12, p1-21, 21p, 1 Color Photograph, 6 Graphs
- Publication Year :
- 2017
-
Abstract
- Recurrently coupled networks of inhibitory neurons robustly generate oscillations in the gamma band. Nonetheless, the corresponding Wilson-Cowan type firing rate equation for such an inhibitory population does not generate such oscillations without an explicit time delay. We show that this discrepancy is due to a voltage-dependent spike-synchronization mechanism inherent in networks of spiking neurons which is not captured by standard firing rate equations. Here we investigate an exact low-dimensional description for a network of heterogeneous canonical Class 1 inhibitory neurons which includes the sub-threshold dynamics crucial for generating synchronous states. In the limit of slow synaptic kinetics the spike-synchrony mechanism is suppressed and the standard Wilson-Cowan equations are formally recovered as long as external inputs are also slow. However, even in this limit synchronous spiking can be elicited by inputs which fluctuate on a time-scale of the membrane time-constant of the neurons. Our meanfield equations therefore represent an extension of the standard Wilson-Cowan equations in which spike synchrony is also correctly described. [ABSTRACT FROM AUTHOR]
- Subjects :
- SYNCHRONIC order
NEURONS
OSCILLATIONS
TIME delay estimation
SYNCHRONIZATION
Subjects
Details
- Language :
- English
- ISSN :
- 1553734X
- Volume :
- 13
- Issue :
- 12
- Database :
- Complementary Index
- Journal :
- PLoS Computational Biology
- Publication Type :
- Academic Journal
- Accession number :
- 127052256
- Full Text :
- https://doi.org/10.1371/journal.pcbi.1005881