Title
Complementary responses to mean and variance modulations in the perfect integrate-and-fire model
DOI
10.1007/s00422-009-0317-6
Abstract
In the perfect integrate-and-fire model (PIF), the membrane voltage is proportional to the integral of the input current since the time of the previous spike. It has been shown that the firing rate within a noise free ensemble of PIF neurons responds instantaneously to dynamic changes in the input current, whereas in the presence of white noise, model neurons preferentially pass low frequency modulations of the mean current. Here, we prove that when the input variance is perturbed while holding the mean current constant, the PIF responds preferentially to high frequency modulations. Moreover, the linear filters for mean and variance modulations are complementary, adding exactly to one. Since changes in the rate of Poisson distributed inputs lead to proportional changes in the mean and variance, these results imply that an ensemble of PIF neurons transmits a perfect replica of the time-varying input rate for Poisson distributed input. A more general argument shows that this property holds for any signal leading to proportional changes in the mean and variance of the input current.
Document Type
Post-print Article
Publication Date
2009
Publisher Statement
Copyright © 2009 Springer.
The definitive version is available at: http://link.springer.com/article/10.1007/s00422-009-0317-6
DOI: 10.1007/s00422-009-0317-6
Full Citation:
Wares, Joanna R., and Todd W. Troyer. "Complementary Responses to Mean and Variance Modulations in the Perfect Integrate-and-fire Model." Biological Cybernetics 101, no. 1 (2009): 63-70. doi:10.1007/s00422-009-0317-6.
Recommended Citation
Wares, Joanna R. and Troyer, Todd W., "Complementary responses to mean and variance modulations in the perfect integrate-and-fire model" (2009). Department of Math & Statistics Faculty Publications. 52.
https://scholarship.richmond.edu/mathcs-faculty-publications/52