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arXiv · 1604.03619

Solving the 2-Dimensional Fokker-Planck Equation for Strongly Correlated Neurons

Taskin Deniz·Stefan Rotter
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Abstract

Pairs of neurons in brain networks often share much of the input they receive from other neurons. Due to essential non-linearities of neuronal dynamics, the consequences for the correlation of the output spike trains are not well understood in the strongly correlated regime. Here we consider two leaky integrate-and-fire neurons with correlated white noise input. We analyze this scenario using a novel non-perturbative approach. Hence our treatment covers both weakly and strongly correlated dynamics, generalizing previous results based on linear response theory.

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Taskin Deniz, Stefan Rotter. 2016-05-28. Solving the 2-Dimensional Fokker-Planck Equation for Strongly Correlated Neurons. https://doi.org/10.1103/physreve.95.012412

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