Nonequilibrium Green's Functions for Functional Connectivity in the Brain

Francesco Randi, Andrew M. Leifer

Research output: Contribution to journalArticlepeer-review

2 Scopus citations


A theoretical framework describing the set of interactions between neurons in the brain, or functional connectivity, should include dynamical functions representing the propagation of signal from one neuron to another. Green's functions and response functions are natural candidates for this but, while they are conceptually very useful, they are usually defined only for linear time-translationally invariant systems. The brain, instead, behaves nonlinearly and in a time-dependent way. Here, we use nonequilibrium Green's functions to describe the time-dependent functional connectivity of a continuous-variable network of neurons. We show how the connectivity is related to the measurable response functions, and provide two illustrative examples via numerical calculations, inspired from Caenorhabditis elegans.

Original languageEnglish (US)
Article number118102
JournalPhysical review letters
Issue number11
StatePublished - Mar 19 2021

All Science Journal Classification (ASJC) codes

  • General Physics and Astronomy


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