- Poster presentation
- Open Access
A simple mechanism for higher-order correlations in integrate-and-fire neurons
© Leen and Shea-Brown; licensee BioMed Central Ltd. 2012
- Published: 16 July 2012
- Firing Rate
- Ising Model
- Neuron Model
- Pairwise Correlation
- Linear Filter
Recent work  shows that common input gives rise to higher-order correlations in the Dichotomized Gaussian neuron model. Here we study a homogeneous population of integrate-and-fire neurons receiving correlated input. Each neuron receives an independent white noise input and all neurons receive a common Gaussian input. To quantify the contributions of higher-order correlations we use a maximum entropy model. The model with interactions up to second order (i.e. pairwise correlations) is known as the Ising model. The Kullbach-Leibler divergence between the Ising model and the model with interactions of all orders allows us to quantitatively describe the presence of higher-order correlations.
For a leaky IF or exponential IF neuron receiving an input signal identical in all trials, and a background noise independent from trial to trial, it is possible to explicitly calculate the linear response function [2, 3]. We use this linear filter to compute instantaneous firing probabilities for the N cells in our setup. This gives us a theoretical basis for our central finding that strong higher-order correlations arise naturally in integrate and fire cells receiving common inputs.
This work was funded in part by the Burroughs Wellcome Fund Scientific Interfaces Program.
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