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Updated: Mar 7, 2026

Computational Modeling of Retinal Neurons for Visual Prosthesis Research - Fundamental Approaches
Published on: June 21, 2022
Solving the two-dimensional Fokker-Planck equation for strongly correlated neurons
1Bernstein Center Freiburg & Faculty of Biology, University of Freiburg, Hansastraße 9a, 79104 Freiburg, Germany.
Abstract:
Pairs of neurons in brain networks often share much of the input they receive from other neurons. Due to essential nonlinearities of the neuronal dynamics, the consequences for the correlation of the output spike trains are generally not well understood. Here we analyze the case of two leaky integrate-and-fire neurons using an approach which is nonperturbative with respect to the degree of input correlation. Our treatment covers both weakly and strongly correlated dynamics, generalizing previous results based on linear response theory.
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