TY - JOUR
T1 - Nonequilibrium Green's Functions for Functional Connectivity in the Brain
AU - Randi, Francesco
AU - Leifer, Andrew M.
N1 - Publisher Copyright:
© 2021 authors.
PY - 2021/3/19
Y1 - 2021/3/19
N2 - 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.
AB - 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.
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U2 - 10.1103/PhysRevLett.126.118102
DO - 10.1103/PhysRevLett.126.118102
M3 - Article
C2 - 33798383
AN - SCOPUS:85103314161
SN - 0031-9007
VL - 126
JO - Physical review letters
JF - Physical review letters
IS - 11
M1 - 118102
ER -