Population Dynamics of Spiking Neurons: Fast Transients, Asynchronous States, and Locking
Abstract
An integral equation describing the time evolution of the population activity in a homogeneous pool of spiking neurons of the integrate-and-fire type is discussed. It is analytically shown that transients from a state of incoherent firing can be immediate. The stability of incoherent firing is analyzed in terms of the noise level and transmission delay, and a bifurcation diagram is derived. The response of a population of noisy integrate-and-fire neurons to an input current of small amplitude is calculated and characterized by a linear filter L. The stability of perfectly synchronized “locked” solutions is analyzed.
Cite
Text
Gerstner. "Population Dynamics of Spiking Neurons: Fast Transients, Asynchronous States, and Locking." Neural Computation, 2000. doi:10.1162/089976600300015899Markdown
[Gerstner. "Population Dynamics of Spiking Neurons: Fast Transients, Asynchronous States, and Locking." Neural Computation, 2000.](https://mlanthology.org/neco/2000/gerstner2000neco-population/) doi:10.1162/089976600300015899BibTeX
@article{gerstner2000neco-population,
title = {{Population Dynamics of Spiking Neurons: Fast Transients, Asynchronous States, and Locking}},
author = {Gerstner, Wulfram},
journal = {Neural Computation},
year = {2000},
pages = {43-89},
doi = {10.1162/089976600300015899},
volume = {12},
url = {https://mlanthology.org/neco/2000/gerstner2000neco-population/}
}