Paper Info
Title
Factors affecting phase synchronization in integrate-and-fire oscillators.
Abstract
Step changes in input current are known to induce partial phase synchrony in ensembles of leaky integrate-and- fire neurons operating in the oscillatory or "regular firing" regime. An analysis of this phenomenon in the absence of noise is presented based on the probability flux within an en- semble of generalized integrate-and-fire neurons. It is shown that the induction of phase synchrony by a step input can be determined by calculating the ratio of the voltage densities obtained from fully desynchronized ensembles firing at the pre and post-step firing rates. In the limit of low noise and in the absence of phase synchrony, the probability density as a function of voltage is inversely proportional to the time derivative along the voltage trajectory. It follows that the magnitude of phase synchronization depends on the degree to which a change in input leads to a uniform multiplication of the voltage derivative over the range from reset to spike threshold. This analysis is used to investigate several factors affecting phase synchronization including high firing rates, inputs modeled as conductances rather than currents, peri- threshold sodium currents, and spike-triggered potassium currents. Finally, we show that without noise, the equilib- rium ensemble density is proportional to the phase response curve commonly used to analyze oscillatory systems.
Year
DOI
Venue
2006
10.1007/s10827-006-6174-6
Journal of Computational Neuroscience
Keywords
Field
DocType
Exponential integrate-and-fire,Phase response curve,Population density,Synchrony
Oscillation,Cortical Synchronization,Control theory,Probability current,Phase synchronization,Time derivative,Exponential integrate-and-fire,Phase response curve,Probability density function,Mathematics
Journal
Volume
Issue
ISSN
20
2
0929-5313
Citations 
PageRank 
References 
2
0.43
12
Authors
1
Name
Order
Citations
PageRank
Todd W Troyer19027.69