Title
Escape rate models for noisy integrate-and-free neurons
Abstract
The noisy integrate-and-fire neuron is difficult to treat analytically. In particular, interspike-interval densities have to be computed numerically. We compare here the noisy integrate-and-fire neuron with three escape noise models for neuronal spiking which can be solved analytically. We show that an escape model with an instantaneous rate depending on the momentary membrane potential and its derivative provides an excellent approximation to the dynamics of the noisy integrate-and-fire model. We also demonstrate that the method of images does not yield reliable interspike-interval densities.
Year
DOI
Venue
2000
10.1016/S0925-2312(00)00167-3
Neurocomputing
Keywords
Field
DocType
Integrate-and-fire neuron,Diffusion approximation,Hazard,Escape noise,Interspike-interval distribution
Artificial intelligence,Mathematics,Machine learning,Method of images,Heavy traffic approximation
Journal
Volume
ISSN
Citations 
32-33
0925-2312
2
PageRank 
References 
Authors
0.43
3
2
Name
Order
Citations
PageRank
Hans E Plesser113320.47
Wulfram Gerstner22437410.08