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Published on: May 29, 2017
Stochastic synchronization in finite size spiking networks.
Brent Doiron1, John Rinzel, Alex Reyes
1Center for Neural Science, New York University, New York, New York 10003, USA.
Physical Review. E, Statistical, Nonlinear, and Soft Matter Physics
|October 10, 2006
Summary
Stochastic synchronization in spiking neural networks occurs only in small populations. Finite network size significantly impacts neural dynamics and processing compared to infinite models, aligning with experimental findings in cortical systems.
Area of Science:
- Computational neuroscience
- Neural network dynamics
- Systems neuroscience
Background:
- Spiking activity in neural networks is crucial for information processing.
- Understanding synchronization in neuronal populations is key to deciphering brain function.
- Previous models often assume infinite network sizes, potentially missing finite-size effects.
Purpose of the Study:
- To investigate stochastic synchronization in feedforward networks of integrate-and-fire neurons.
- To determine the influence of network size on neural synchronization dynamics.
- To compare finite-size population dynamics with the infinite size limit.
Main Methods:
- Stochastic mean field analysis applied to feedforward networks.
- Modeling of integrate-and-fire neurons to simulate spiking activity.
- Analysis of synchronization phenomena as a function of network size.
Main Results:
- Synchronization of spiking activity is observed only in sufficiently small network sizes.
- Finite-size effects significantly alter neural population dynamics and information processing.
- The results demonstrate a divergence from predictions based on infinite network models.
Conclusions:
- Network size is a critical parameter influencing synchronization in spiking neural networks.
- Finite neural populations exhibit distinct dynamics compared to idealized infinite populations.
- The findings support the link between synchrony and signal propagation in biological cortical networks.

